Joe gave 1/4 of his total candies to his classmate then he gave 4/6 of when he had left to his brother when he went home then he realized that you didn’t give any to his sister he gave 25% of the remaining candies to her after all this he realized that he only had 21 candies left how many candies did he have In the beginning

Answers

Answer 1

Answer:

112

Step-by-step explanation:

Given: Joe gave 1/4 of his total candies to his classmate.

            Then, he gave 4/6 of when he had left to his brother.

             He gave 25% of the remaining candies to his sister.

             Finally, he only had 21 candies left.

Lets assume the total number of candies at the beginning be "x".

First, finding the number candies left after giving candies to classmate.

∴ Remaining candies=  [tex]x- x\times \frac{1}{4}[/tex]

Solving it to find remaining candies after giving candies to clasmate.

⇒ Remaining candies= [tex]x-\frac{x}{4}[/tex]

Taking LCD as 4

⇒ Remaining candies= [tex]\frac{4x-x}{4} = \frac{3x}{4}[/tex]

Remaining candies after giving candies to clasmate= [tex]\frac{3x}{4}[/tex]

now, finding the candies left after giving candies to his brother.

∴ Remaining candies= [tex]\frac{3x}{4} - \frac{3x}{4} \times \frac{4}{6}[/tex]

Solving it to find the remaining candies after giving candies to his brother.

⇒ Remaining candies= [tex]\frac{3x}{4} - \frac{x}{2}[/tex]

Taking LCD 4

⇒ Remaining candies= [tex]\frac{3x-2x}{4} = \frac{x}{4}[/tex]

Remaining candies after giving candies to his brother= [tex]\frac{x}{4}[/tex]

We know, Joe was left with only 21 candies after giving candies to his sister.

Therefore, putting an equation for remaining candies to find the number of candies at the beginning.

⇒[tex]\frac{x}{4} - 25\% \times \frac{x}{4} = 21[/tex]

⇒[tex]\frac{x}{4} - \frac{0.25x}{4} = 21[/tex]

Taking LCD 4

⇒ [tex]\frac{x-0.25x}{4} = 21[/tex]

⇒ [tex]\frac{0.75x}{4} = 21[/tex]

Multiplying both side by 4

⇒[tex]0.75x= 21\times 4[/tex]

dividing both side by 0.75

⇒[tex]x= \frac{21\times 4}{0.75}[/tex]

∴[tex]x= 112[/tex]

Hence, Joe had 112 candies at the beginning.


Related Questions


Simplify:

2(d + 3) + 3(d – 3)
A. –5d – 1
B. 5d – 3
C. 5d + 15
D. 6d – 3

Answers

Answer:

I would say it is c but im not sure.

Step-by-step explanation:

Well you use distributive property to solve this to get a simplified answer.

[tex]b. \: 5d - 3 \\ \\ 1. \: 2d + 6 + 3(d - 3) \\ 2. \: 2d + 6 + 3d - 9 \\ 3. \: (2d + 3d) + (6 - 9) \\ 4. \: 5d - 3[/tex]

How do you write 10+3x and 4x on a graph?

Answers

See the graph below

Explanation:

First of all, let's rename those expressions as follows:

[tex]\left\{ \begin{array}{c}y=10+3x\\y=4x\end{array}\right[/tex]

So we we have two lines written in slope-intercept form. In order to graph those lines, let's find two points for each:

First line:

[tex]For \ x=0: \\ \\ y=10+3(0) \\ \\ y=10 \\ \\ \\ For \ x=-10/3: \\ \\ y=10+3(-10/3) \\ \\ y=10-10 \\ \\ y=0 \\ \\ \\ So \ the \ line \ passes \ through \ (0,10) \ and \ (-10/3,0)[/tex]

This line is the green one shown below.

Second line:

[tex]For \ x=0: \\ \\ y=4(0) \\ \\ y=0 \\ \\ \\ For \ x=1: \\ \\ y=4(1) \\ \\ y=4 \\ \\ \\ So \ the \ line \ passes \ through \ (0,0) \ and \ (1,4)[/tex]

This line is the red one shown below.

Learn more:

Shifting graphs: https://brainly.com/question/10010217

#LearnWithBrainly

What number can be written as 400,000 + 8,000 + 400 + 70 + 1?
180.417
480.417
057 8047208.17
408,471
480.471
408,417

Answers

Answer:

it's 408,471

Step-by-step explanation:

[tex]400000 \\ + 8000 \\ \: + 400 \\ \: \: + 70 \\ \: \: \: + 1 \\ = 408471[/tex]

408,417 would be the answer

There are 28 boys in the band
The 28 boys are 7/10 and the girls are 3/10 of the students
What is the total number of students in the marching band

Answers

Answer:

t = 40

Step-by-step explanation:

Start by breaking the equation down to a simpler form.  To do this you would need to divide 28 by 7.

28 / 7 = x

x = 4

Now we can create a new equation.

4x = t

T would represent the total number of students in the band.  X would be the any number from 1 to 10.  This is because 10 is the highest faction to make the fraction a whole.  Since we a looking for the total we would put ten in place for x.

4 x 10 = t

t = 40

There you go.

Hope this helped.

HELP PLEASE, I REALLY DONT UNDERSTAND THIS!

Answers

Answer: Since 3−5+2=0, then 2

is the additive inverse of 3−5 is 2

 Since 5−3−2=0, then −2is the additive inverse of 5−3. is -2

Step-by-step explanation: additive inverse

The additive inverse of any number

x

is the number that gives zero when added to

x

. Example: the additive inverse of

5 is −5.

You can access your funds easier if your account has_
liquidity.

A. more

B. less

Answers

Answer:

if it as more

Step-by-step explanation:

no need to thank me just add me on snap wgilpenn

3. The product of 7/10 and another factor
is greater than 7/10. Which could be
the other factor?
A. 4/3
B. 5/9
C. 10/12
D. 7/7

Answers

Answer:

C

Step-by-step explanation:

product of 7 and 10 is 70

product of 10 and 12 is 120

a = 12

b =45

c =120

d =49

Elena ate 2/8 of a pizza and Dylan ate 1/5. estimate how much of the pizza did they eat?
Pls Help need for tomorrow if u answer then i will give 10+ points and brainliest answer

Answers

Answer:

[tex]\frac{9}{20}[/tex]

Step-by-step explanation:

Given:

Elena ate 2/8 of a pizza.

Dylan ate 1/5 of a pizza.

Question asked:

How much of the pizza did they eat ?

Solution:

By simply adding.

Elena ate of a pizza. = [tex]\frac{2}{8}[/tex]

Dylan ate of a pizza = [tex]\frac{1}{5}[/tex]

Total of a pizza they ate = [tex]\frac{2}{8}[/tex] + [tex]\frac{1}{5}[/tex]

By taking LCM of 8 and 5 ; 40

[tex]\frac{10 + 8}{40} = \frac{18}{40} = \frac{9}{20}[/tex]

Thus, [tex]\frac{9}{20}[/tex] f the pizza they eat.

round the fraction 3^3/2 to the nearest whole number

Answers

Evaluating 3^3/2 gives us 5.196152423, so we can round this to 5.

Which number is irrational?
A. 3/17
B. Square root of 25
C. 0.666
D. Square root of 33

Answers

Answer:

B. Square root of 25

Step-by-step explanation:

It is a whole number.

Thus, it is not an irrational number.

The square root of 25 is equal to 5

Therefore

An irrational number is a number that cannot be written as a ratio of two integers. It is a non-terminating and non-repeating decimal.

((7,-1) and (21,-5) what is the equation in slope intercept form?

Answers

Answer:

y=-2/7x+1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-5-(-1))/(21-7)

m=(-5+1)/14

m=-4/14

simplify

m=-2/7

y-y1=m(x-x1)

y-(-1)=-2/7(x-7)

y+1=-2/7(x-7)

y=-2/7x+2-1

y=-2/7x+1

The equation of the line in slope-intercept form is: [tex]\[ \boxed{y = -\frac{2}{7}x + 1} \][/tex]

To find the equation of the line in slope-intercept form  y = mx + b that passes through the points 7, -1 and 21, -5 we need to follow these steps:

1. Find the slope  m  of the line.

2. Use the slope and one of the points to find the y-intercept b

3. Write the equation in the form y = mx + b

Step 1: Find the slope m

The formula for the slope between two points [tex]\((x_1, y_1)\) and \((x_2, y_2)\) is:[/tex]

[tex]\[ m = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]

For the points 7, -1 and 21, -5

[tex]\[ x_1 = 7, y_1 = -1 \][/tex]

[tex]\[ x_2 = 21, y_2 = -5 \][/tex]

Substitute these values into the slope formula:

[tex]\[ m = \frac{-5 - (-1)}{21 - 7} = \frac{-5 + 1}{21 - 7} = \frac{-4}{14} = -\frac{2}{7} \][/tex]

Step 2: Find the y-intercept b

Use the slope[tex]\( m = -\frac{2}{7} \)[/tex] and one of the points

[tex]\[ -1 = -\frac{2}{7}(7) + b \][/tex]

b = 1

Step 3: Write the equation

Now that we have the slope [tex]\( m = -\frac{2}{7} \)[/tex] and the y-intercept  b = 1 we can write the equation in slope-intercept form:

[tex]\[ y = -\frac{2}{7}x + 1 \][/tex]

Thus, the equation of the line in slope-intercept form is:

[tex]\[ \boxed{y = -\frac{2}{7}x + 1} \][/tex]

if theres 56 docks and 20 of them join and then 5 of them leave how many ducks are left

Answers

Answer:

Step-by-step explanation:

Answer:

71 ducks

Step-by-step explanation:

1. 56 + 20 = 76

2. 76 - 5 = 71

Cube Root Function Question! 15 points!
The graph of h(x) is a translation of f (x) = Root Index 3
Which equation represents h(x)?

Answers

Answer: Second option.

Step-by-step explanation:

Below are some transformations for a function  f(x) :

1. If [tex]f(x)+k[/tex], the function is shifted "k" units up.

2. If [tex]f(x)-k[/tex], the function is shifted "k" units down.

3. If [tex]f(x-k)[/tex], the function is shifted "k" units right.

4. If [tex]f(x+k)[/tex], the function is shifted "k" units left.

The Cube root parent function is:

[tex]f(x)=\sqrt[3]{x}[/tex]

By definition, the graph of this function passes through the origin, as you can observe in  the picture attached.

In this case, you need to analize the graph given in the exercise. You can see that the the graph of the function h(x) is like the parent function f(x), but shifted 2 units left.

Therefore, based on the transformations explained above, you can determine that the equation of the function h(x) is the following:

[tex]h(x)=f(x+2)\\\\h(x)=\sqrt[3]{x+2}[/tex]

A girl 160 cm tall stands 360 cm from a lamp post at night. Her shadow from the light is 90 cm long. How high is the lamp post?

Answers

The answer is.

The Lamp post is 800cm

x = height of lamp post

160/90 = x/450

450 is the length from the base of the lamp post to the end of the shadow (360+90)

cross multiple

90x = 72000

x =800cm

Have a great day!

The lamp post is 800 cm high

From the diagram in the attachment below,

The height of the girl is /AG/ = 160cm

The length of her shadow is /SG/ = 90cm

The height of the lamp post is /LP/ = /LM/ + /MP/ = x + 160cm

To determine the height of the lamp post, we will calculate the value of x

Consider ΔASG

Determine <ASG = θ

From

[tex]tan\theta = \frac{opposite}{adjacent}[/tex]

Opposite = /AG/ = 160 cm

Adjacent = /SG/ = 90 cm

∴ [tex]tan\theta = \frac{160}{90}[/tex]

Also, Consider ΔLAM

[tex]tan\theta = \frac{/LM/}{/AM/}[/tex]

NOTE: <LAM = θ (Corresponding angles) since line AM is parallel to line SP

∴[tex]\frac{160}{90} = \frac{/LM/}{/AM/}[/tex]

But, /LM/ = x and /AM/ = 360 cm

∴[tex]\frac{160}{90} = \frac{x}{360}[/tex]

[tex]90x = 360 \times 160[/tex]

[tex]x = \frac{360 \times 160}{90}[/tex]

[tex]x = 4 \times 160 \\[/tex]

[tex]x = 640 cm[/tex]

x = 640 cm

Recall that, the height of the lamp post is /LP/ = /LM/ + /MP/ = x + 160cm

The height of the lamp post is 640 cm + 160cm

The height of the lamp post is 800 cm

Hence, the lamp post is 800 cm high

Learn more here: https://brainly.com/question/21784111

Wendy has $60 to buy seed for her birdfeeders. Each bag of seed costs $8.
How many bags of seed can she buy?​

Answers

She can buy 7 and have 4 bucks left

Answer:7 bags

Step-by-step explanation:

Divide 60 by 8 because she has a total of $60 and each bag costs $8. The answer would actually be 7.5 bags but since you can’t buy half a bag your answer would be 7 bags.

The focus of a parabola is (0, - 2) The directrix of the parabola is the line y = - 3 What is the equation of the parabola

Answers

Answer:

Option B: [tex]$ \textbf{y} \hspace{1mm} \textbf{=} \hspace{1mm} \frac{\textbf{-1}}{\textbf{2}} \textbf{x}^{\textbf{2}} \hspace{1mm} \textbf{-} \hspace{1mm} \frac{\textbf{5}}{\textbf{2}} $[/tex]

Step-by-step explanation:

When the focus (h, k) of a parabola and the equation of the directrix y = c are given, the equation of the parabola is given by:

                     [tex]$ \textbf{(x - h)}^{\textbf{2}} \hspace{1mm} \textbf{+} \hspace{1mm} \textbf{k}^{\textbf{2}} \hspace{1mm} \textbf{-} \hspace{1mm} \textbf{c}^{\textbf{2}} \hspace{1mm} \textbf{=} \hspace{1mm} \textbf{2(k - c)y}} $[/tex]

Here, we are given the focus: (h, k) = (0, -2)

Directrix: y = c = -3.

We substitute in the formula to get the equation of the parabola.

[tex]$ (x - 0)^2 + (-2)^2 - (-3)^2 = 2(-2 - (-3))y $[/tex]

[tex]$ \implies x^2 + 4 - 9 = 2(- 2 + 3)y $[/tex]

[tex]$ \implies x^2 - 5 = 2(1) y$[/tex]

[tex]$ \implies 2y = x^2 - 5 $[/tex]

Dividing by 2, throughout we get:

[tex]$ \textbf{y} \hspace{1mm} \textbf{=} \hspace{1mm} \frac{\textbf{-1}}{\textbf{2}} \textbf{x}^{\textbf{2}} \hspace{1mm} \textbf{-} \hspace{1mm} \frac{\textbf{5}}{\textbf{2}} $[/tex] which is the required answer.

The box plots show the average wind speeds, in miles per hour, for various cities in two different countries. Average Wind Speeds of Cities in Country A 2 box plots. The number line goes from 1 to 11. For the average wind speeds of cities in country A, the whiskers range from 1 to 9.5, and the box ranges from 3 to 7. A line divides the box at 4. For the average wind speeds of cities in country B, the whiskers range from 1.2 to 11, and the box ranges from 4 to 9. A line divides the box at 6. Average Wind Speeds of Cities in Country B Which statement describes the symmetry of the data in the two box plots? The data in country A are more symmetric than the data in country B. The data in country B are more symmetric than the data in country A. The data in both countries have about the same symmetry. The symmetry of the data cannot be determined by looking at the box plots.

Answers

Answer:

"B"

Step-by-step explanation:

"the median wind speed for country B is greater than the median wind speed for county A"

got it right on the quiz, and good luck ;)

The median wind speed for country B is greater than the median wind speed for county A.

The answer is option B.

What is a median?

A median is a number in the middle of a list of numbers that are sorted, ascended, or descended and can define a set of data. The median is sometimes used in contrast to the definition where there are outsiders in a sequence that may distort the value ratio.

Why is median important?

The importance of median value is that it provides an idea about the distribution of data. If the definition and median of the data set are the same, then the data is evenly distributed from the smallest to the highest values.

Learn more about median here: brainly.com/question/20118982

#SPJ2

In the skateboard design, VW bisects XY at point T , and XT =39.9 cm. Find XY

Answers

Answer:

The measure of  XY is 79.8 cm.

Step-by-step explanation:

An image of the question is attached here.

Given:

Measure of XT = 39.9

VW is the bisector.

So T is the midpoint of XY .

Note: Bisector divides the line in two equal parts.

According to the question:

⇒ [tex]XT = TY[/tex]           ...as T is the midpoint.

⇒ [tex]XY=XT +TY[/tex] ...Segment addition Postulate

⇒ [tex]XY=XT+XT[/tex]

⇒ [tex]XY=2(XT)[/tex]

⇒ [tex]XY=2(39.9)[/tex]

⇒ [tex]XY=79.8[/tex] cm

The measure of XY in the skateboard design is 79.8 centimeter.

(SAT Prep) Find the value of x in each of the following exercises:

Answers

Answer:

The value of x is 120°

Step-by-step explanation:

To solve for x, you need to introduce a third line that is parallel to the two parallel lines.

This line should divide the angle at x into two as shown in the attachment.

By the alternate interior angle property, m=70°

and

n=50°

This implies that, x=50+70=120°

Find the 22nd term of the following sequence:
5, 8, 11, ...
63
71
14
68

Answers

68 is the 22nd term of the following sequence.

Step-by-step explanation:

The given sequence is with the same common difference between the two consecutive number in the series thus it is said to be the  Arithmetic progression ( AP). For finding the nth term in the AP we have a formula tn = a + (n-1) × dHere a is the first term , n is the number of the term to be founded and d is the common difference between the two consecutive number in the series.Thus here tn = 5 + ( 22 - 1 ) × 3.On subtracting we get tn = 5 + (21 ) × 3 On multiplying we get tn = 5 + 63After adding we get tn = 68. It is the 22nd term in the given series.

the twenty second (22) term of the sequence 5, 8, 11, ...... is: D. 68.

Given the following data:

First (1st) term = 5Second term = 8Third term = 11

To find the twenty second (22) term of the sequence:

Mathematically, the [tex]n^{th}[/tex] term of a sequence is calculated by using the following formula;

[tex]a_n = a + (n - 1)d[/tex]

Where:

a is the first term.n is the term number.d is the common difference.

First of all, we would determine the common difference.

[tex]d = 2^{nd} \; term - 1^{st}\;term\\\\d = 8 - 5 \\\\d = 3[/tex]

Substituting the given parameters into the formula, we have;

[tex]a_{22} = 5 + (22 - 1)3\\\\a_{22} = 5 + (21)3\\\\a_{22} = 5 + 63\\\\a_{22} = 68[/tex]

Therefore, the twenty second (22) term of the sequence is 68.

Read more: https://brainly.com/question/12630565?referrer=searchResults

PLEASE HELP... BRAINLIEST... PLEASE..
17. Determine the scale factor for each dilation. Determine whether the dilation is an enlargement, reduction or isometry dilation.

Answers

The given dilation is an isometry dilation.

Step-by-step explanation:

Step 1; First, we need to compare the dimensions of the two figures. We check to see if the side lengths are the same. If the parameters are the same, the dilation could be an enlargement or a reduction. Whereas if the parameters are the same, it could be an isometric dilation or just a reflection.

Step 2; The first shape has a side length of approximately 2.5 units. We compare this to the same side length as the second shape. The second shape has the same side length.

The first shapes side length of the  / same side length of the second shape = 2.5 / 2.5 = 1,

So the scale factor is 1. As the parameters do not change, it could either be a reflection or an isometric dilation.

Step 3; The base side in shape 1 is BC whereas the same base side in shape 2 is [tex]A^{1}[/tex][tex]B^{1}[/tex]. So shape ABCDE has rotated to form the shape  the dilation is isometric and not a reflection with a scale factor of 1.

Answer:

1: Isometry

Step-by-step explanation:

As both the shapes are having equal area hence the scale factor remains 1.

As scale factor remains 1this is neither enlargement or reduction.

It is the isometry that the distance between two pints remains the same.

1/3x+1/2y=10
1/5x-3y=-3/5​

Answers

Step-by-step explanation:

Hdhcnkcube hxjdje8277ru288xhei8chne

Diicinrhcurnje8f77 8eun3if7 hh8

The sum of the square of a positive number and the square of 3 more than the number is 89. What is the​ number?

Answers

The​ number is 5 which sum of the square of a positive number and the square of 3 more than the number 89.

What is a quadratic function?

The quadratic function is defined as a function containing the highest power of a variable is two.

We have to determine the​ number which sum of the square of a positive number and the square of 3 more than the number 89.

Let the first number would be x

So second number = x + 3

According to the given condition,

⇒ x² + (x + 3)² = 89                    

⇒ x² + x² + 6x + 9 = 89                    

⇒ 2x² + 6x + 9 = 89

⇒ 2x² + 6x - 80 = 0

⇒ x² + 3x - 40 = 0

⇒ (x + 8)(x - 5) = 0

⇒ x + 8 = 0 or x - 5 = 0    

⇒ x = -8 or x = 5  

The answer is 5 because we are looking for a positive number.

Learn more about the quadratic function here:

brainly.com/question/14083225

#SPJ2

Final answer:

The positive number where the sum of its square and the square of 3 more than the number equals 89 is 5.

Explanation:

To determine the positive number where the sum of squares of the number and the square of 3 more than the number equals 89, we set up the following equation:

Let x be the positive number. Then:

x² + (x + 3)² = 89

Expanding the equation:

x² + x² + 6x + 9 = 89

Combining like terms, this becomes:

2x² + 6x + 9 = 89

Subtract 89 from both sides:

2x² + 6x - 80 = 0

We now have a quadratic equation. Dividing by 2 for simplicity:

x² + 3x - 40 = 0

Factor the quadratic equation:

(x + 8)(x - 5) = 0

Setting each factor equal to zero gives us two possible solutions for x:

x + 8 = 0, so x = -8 (which we can disregard as we are looking for a positive number)x - 5 = 0, so x = 5 (which is the positive number we're looking for)

Therefore, the positive number is 5.

If you do this you are officially skilled: (SAT Prep) In the figure, if PN = LN, NP Is parallel to MQ, and QL bisects ∠PQM, what is value of x?

Answers

Answer:

Try the suggested solution, shown on the picture attached

Step-by-step explanation:

Note, 'm(MNO)' means m(∠MNO), and for issues 2, 4 ,5 - the described angles are angles inside the declared triangle.

Answer:

67º

Step-by-step explanation:

Calculate the surface area of the following triangular prism:

A. 156 cm^2
B. 240 cm^2
C. 336 cm^2
D. 288 cm^2

Answers

Answer:

B- 240 cm²

Step-by-step explanation:

Hope it can help you lovelots

#LEARN WITH BRAINLY

Describe the error made in subtracting the two
rational expressions shown
1 1
x-
2x+1
x + 1
x-2
(x-2)(x+1) (x - 2)(x +1)
(x-2)(x+1)

Answers

Answer:

(This is in my own words)

ALL terms of the numerator must be subtracted out, not just the first term. -2 should be subtracted out to get a numerator of x+1-x+2. Thus, the difference of the numerator should be 3, and not –1. This is when simplified correctly.

On solving the expression correctly, we get -

3/(x - 2)(x + 1)

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is the following equation -

1/(x - 2) - 1/(x + 1)

We have -

1/(x - 2) - 1/(x + 1)

[(x + 1) - (x - 2)]/(x - 2)(x + 1)

3/(x - 2)(x + 1)

Therefore, on solving the expression correctly, we get -

3/(x - 2)(x + 1)

To solve more questions on expressions, visit the link below -

brainly.com/question/26182329

#SPJ2

if 1/5 of the remaining blueberries is used to make muffins, how many pounds of blueberries are left in the container

Answers

Final answer:

To determine how many pounds of blueberries are left in the container after using 1/5 for muffins, calculate 4/5 of the initial amount, as this represents the remaining 80%. The ability to work with fractions and percentages is crucial here.

Explanation:

The question involves understanding percentages and unit conversion. If 1/5 of the remaining blueberries is used to make muffins, that means 80% (or 4/5) of the blueberries are left in the container. To find out how many pounds of blueberries are left, we first need to know the total quantity before using any for muffins. Assuming we had a specific weight to begin with, we would calculate 4/5 of that weight to determine what remains.

For example, if there were 10 pounds of blueberries initially, 2 pounds (1/5) would be used for muffins, leaving 8 pounds (4/5) of blueberries in the container. It's essential to be comfortable with fractions and percentage calculations when dealing with such problems in mathematics.

a. Each bowl contains 1/12 of the total blueberries.

b. There were 72 ounces of blueberries in the full container.

c. There are 3 pounds of blueberries left in the container.

a. What fraction of the blueberries is in each bowl?

Initially, 1/6 of the blueberries are poured equally into two bowls. Therefore, each bowl receives 1/6 * 1/2 = 1/12 of the total blueberries.

b. If each bowl has 6 ounces of blueberries in it, how many ounces of blueberries were in the full container?

Since each bowl has 6 ounces of blueberries, and there are two bowls, the total amount of blueberries poured into the bowls is 6 * 2 = 12 ounces. Since this represents 1/6 of the total blueberries, we can set up the equation:

Total blueberries = 12 * 6 = 72 ounces

c. If 1/5 of the remaining blueberries are used to make muffins, how many pounds of blueberries are left in the container?

After pouring 1/6 of the blueberries into the bowls, 5/6 of the blueberries remain. Then, 1/5 of these remaining blueberries are used to make muffins. So, the fraction of blueberries remaining after making muffins is 5/6 * 4/5 = 20/30 = 2/3.

To convert the remaining blueberries to pounds, since 1 pound equals 16 ounces, we divide the total remaining ounces by 16:

Remaining blueberries in pounds = (72 ounces * 2/3) / 16 ounces/pound = (72 * 2) / (3 * 16) = 144 / 48 = 3 pounds

So, there are 3 pounds of blueberries left in the container.

The probable question maybe:

A container is filled with blueberries. 1/6 of the blueberries are poured equally into two bowls.

a. What fraction of the blueberries is in each bowl?

b. If each bowl has 6 ounces of blueberries in it, how many ounces of blueberries were in the full container?

c. If 1/5 of the remaining blueberries are used to make muffins, how many pounds of blueberries are left in the container?

kristy earns money based on the number of hours worked, with the same amount paid for each hour. she earned $110.50 after working 13 hours

Answers

Answer:

She earned $8.5 per hour.

Step-by-step explanation:

110.5/13=8.5

Every jump a game piece makes measures 8 9 . The piece starts at point A = 7 and jumps to the right. As soon as the piece jumps over B = 24, it switches direction and jumps to the left. The piece then stops at point A. How many jumps did the game piece take?

Answers

Answer:

The number of jumps that the game piece took, was 40.

Step-by-step explanation:

Every jump a game piece makes measures [tex]\frac{8}{9} = 0.889[/tex].

Now, the piece starts at point A = 7 and jumps to the right.

So, the number of jumps required by the piece to jump over B = 24 will be

[tex]\frac{24 - 7}{0.889} = 19.122[/tex] jumps ≈ 20 jumps {As the piece crosses the point B}

Now, as soon as the piece jumps over B = 24, it switches direction and jumps to the left. And the piece then stops at point A.

Therefore, the number of jumps that the game piece took, was (20 × 2) = 40. (Answer)

Final answer:

Calculating the jumps based on the jump size of 8 / 9 units, the piece makes 20 jumps to go from point A past point B, and then 23 jumps to return to point A, for a total of 43 jumps.

Explanation:

To solve the question, we must calculate the total number of jumps the game piece takes from the starting point A at 7, over point B at 24, and back to A. Each jump measures 8 / 9 units. To calculate the number of jumps to reach just past point B (24 units), we can set up a division problem to find the number of jumps it would take to first reach or pass 24 starting from 7. The formula for this is (B - A) / jump size.

So, the calculation for jumps to point B is: (24 - 7) / 8 / 9 = 17 × 9 / 8 = 153 / 8 = 19.125. Since the game piece cannot make a partial jump, we must round up to 20 jumps to reach beyond 24 units.

After the piece switches direction, we perform a similar calculation to find how many jumps it takes to go back to point A (7 units).

Here, since the piece is already beyond 24, it only needs to jump back to the next integer value before 7 which is 6.

Now, the game piece is at (20 × 8 / 9) + 7 = approximately 24.222 + 7 = approximately 31.222 units along the path.

To calculate the jumps back to 6, we have (31.222 - 6) / 8 / 9 which is approximately 22.556 jumps, and rounding up gives us 23.

Therefore, the total number of jumps made is the sum of the jumps to point B and back to point A,

which is 20 + 23 = 43 jumps.

WILL MARK BRAINLEIST!!!!!!
Suppose that it takes Calvin 3 hours to wax a car if he works alone and it takes Alvin 5 hours to wax a car if he works alone. How long does it take them to wax a car if they work together? Write an equation and solve for the unknown. Show your work.

Answers

Answer:

4 hours

Step-by-step explanation:

I am not sure, what I did was, if Calvin and Alvin both waxed half the car, their original time would split in half, then I added those values together, which is also the average.

y=mx+b is a pretty safe form to follow

C=3

A=5

if you are doing variables

I tried my best.

Other Questions
1. Eva et Leo ____ a Faire Un gateau. 2. Yves et toi, vous allez a la gym parce que vous ____ cet eye. 3. josiene, tu manages une salade parce que tu essaies de ____. 4.omar _____ a ses problems d'argent What controls the amount of light entering the camera?A.apertureB. isoC. shutter speedD. sensor In how many ways can 3 apple trees, 4 peach trees, and 2 plum trees be arranged along a fence line if one does not distinguish between trees of the same kind?\ 1. purchase a Toyota 4runner for 25,635. promised your daughter the SUV will be hers when the car value is worth 10,000. 2. the car dealer said the SUV will depreciate in value approximately 3,000 per year. 3. write a linear equation in which y represents the total value of the car and x represents the age of the car. Can you find a vector quantity that has a magnitude of zero but components that are not zero? Explain. Can the magnitude of a vector be less than the magnitude of any of its components? Explain. Why are jovian planets so much larger than terrestrial planets? A steel piano wire is 0.7 m long and has a mass of 5 g. It is stretched with a tension of 500 N. What is the speed of transverse waves on the wire? To reduce the wave speed by a factor of 2 without changing the tension, what mass of copper wire would have to be wrapped around the wire? Zack received a gift of stock from his uncle on June 20 of the current year. Zack's uncle had a basis in the stock of $4,000, but the fair market value of the stock on June 20 was only $1,500. Zack held the stock for three months and then sold it for $1,200. What basis in the stock will Zack use to determine his gain or loss on the sale of the stock? Pele Arnaz is a plant foreman for a generator manufacturer. He spends his day carrying out operational plans for the ongoing daily activities of the plant. Arnaz is a ____ manager.A. functionalB. coordinationC. supervisoryD. middleE. stratrgic Which of the following was an example of southern local color at the time of the Civil War?a leisurely way of talkingslavery and its relation to racismthe dominance of white men in societyits occurrence during a particular time in historyNEXT QUESTIONASK FOR HELP Karen plans and directs the purchase, development, and disposition of real estate on behalf of the business. Karen focuses on long-term strategic financial planning rather than on day-to-day operations of the property. What type of property manager is Karen? John, Sally, and Natalie would all like to save some money. John decides that itwould be best to save money in a jar in his closet every single month. He decidesto start with $300, and then save $100 each month. Sally has $6000 and decidesto put her money in the bank in an account that has a 7% interest rate that iscompounded annually. Natalie has $5000 and decides to put her money in thebank in an account that has a 10% interest rate that is compounded continuously.How much money have after 2 years?How much money will sally have in 10 years?What type of exponential model is Natalies situation?Write the model equation for Natalies situationHow much money will Natalie have after 2 years?How much money will Natalie have after 10 years Which wireless communication technology is most likely used when synchronizing device information to an automobile?BluetoothNFCRFIDWi-Fi In some countries, a high premium is placed upon foreigners and foreign items, as they are associated with sophistication Belgian chocolate, for example, or Swedish automobiles. In other countries, there is subtle resistance to foreign items. This is an example of a cultural _____.a. valueb. stancec. outlookd. custome. social institution Who does the 27th amendment benefit? Which of the following statements are true? Checkall that apply.Replication is the process by which a celldivides.A copy of DNA is passed on to new offspring.Replication is the process by which DNA IScopied.Replication is the process by which newoffspring are created. The Tenth Amendment is confirming the "Founding Fathers'" dedication to theprinciple of What were new technologies in farming Congresss power to coin money is A ball is released from rest at the top of an incline. It is measured to have an acceleration of 2.2. Assume g=9.81 m/s2. What is the angle of the incline in degrees?