Answer:
A
Step-by-step explanation:
6 3/4 + 9 1/2 = 65/4
26 2/5 - 65/4 = 203/20 or 10 3/20
I Need Help With This Problem Please :)
Answer:
Output = input + 2
Step-by-step explanation:
Simple, take some values to figure it out.
When input is 0, output is 2
When input is 1, output is 3
When input is 2, output is 4
When input is 3, output is 5
There is one commonality between them:
The output is simply input + 2
A Ferris wheel has a diameter of 42 feet. It rotates 3 times per minute. Approximately how far will a passenger travel during a 5-minute ride? O 132 feet O 659 feet 1,978 feet 3,956 feet
I believe the answer would be 659 feet. Take 42x3= 126 then 126x5 . I get 630 but that’s the closest I got ♀️
The total distance traveled by the Ferris wheel is D = 1,978 feet
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
The circumference of the Ferris wheel can be calculated using the formula:
C = πd
where d is the diameter of the wheel
C = π x 42 feet
C ≈ 131.88 feet
This means that for each rotation of the Ferris wheel, a passenger will travel approximately 131.88 feet
Since the Ferris wheel rotates 3 times per minute, the distance traveled by a passenger in one minute is
131.88 feet/rotation x 3 rotations/minute = 395.64 feet/minute
Therefore, during a 5-minute ride, a passenger will travel approximately
395.64 feet/minute x 5 minutes = 1,978.2 feet
Hence , the total distance is 1,978 feet
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The receipt shows the quantity and price of some clothing. Which equation can be used to find the price of each pair of jeans?
The answer is A because “x” is the number of jeans purchased so it would be the price per jean times number of jeans being purchased
Answer: Answer is A
Step-by-step explanation:
If m DFC = 40° and m
d = 55°, then mBG=
Answer:
The measure of arc BG is 25°
Step-by-step explanation:
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
so
m∠DFC=(1/2)[arc CD+arc BG]
we have
m∠DFC=40°
arc CD=55°
substitute and solve for arc BG
40°=(1/2)[55°+arc BG]
80°=[55°+arc BG]
arc BG=80°-55°=25°
Answer:
The measure of arc BG is 25°
debbie rode her bicycle 12 miles every day for 5 months. there were 153 days in these 5 months how many miles did she ride
She rode 1,836 miles in total.
How to find the surface area of a box and the volume?
for surface area you find the area of a square face (11*9=99) but there are 2 square faces so it would be 2 lots of 99 (99*2=198)
then you find the area of the rectangle faces (12*9=108)
there are 4 rectangle faces so you would do 108*4=432
then just do 432 + 198 =630
so surface area is 630
for volume you do b*l*h
so just do 11*9*12
= 1188
so volume is 1188cm^3
Lance loaded 89 boxes into his delivery truck in the morning . At 2 o clock that afternoon he had 36 boxes left on the truck . How many boxes had he delivered ?
Answer:
53 boxes
Step-by-step explanation:
Subtract the end amount from the beginning amount to find the number of boxes already delivered.
89-36=53
What is the closed linear form of the sequence 3, 4, 5, 6, 7, ...?
A) an = 2 + n
B) an = 2 - n
C) an = 3 + n
D) an = 3 - n
Answer:
Step-by-step explanation:
This is an arith. sequence.
The first term is 3 and the common difference is 1
Thus, the general formula for the nth term of this sequence is:
a(n) = 3 + 1(n - 1) This matches Answer A
ANSWER
[tex]a_n=2+ n[/tex]
EXPLANATION
The given sequence has terms:
3, 4, 5, 6, 7, ...
The first term is
[tex]a_1=3[/tex]
The constant difference is
d=4-3=1
The general term is given by:
[tex]a_n=a_1 + d(n - 1)[/tex]
Substitute the first term and the common difference to get,
[tex]a_n=3+ 1(n - 1)[/tex]
Expand:
[tex]a_n=3+ n - 1[/tex]
[tex]a_n=2+ n[/tex]
The first choice is correct.
solve......... 6y + x = 8
Step-by-step explanation:
[tex]6y+x=8\\\\for\ x:\\\\6y+x=8\qquad\text{subtract}\ 6y\ \text{from both sides}\\\\6y-6y+x=8-6y\\\\\boxed{x=8-6y}\\\\for\ y:\\\\6y+x=8\qquad\text{subtract}\ x\ \text{from both sides}\\\\6y=8-x\qquad\text{divide both sides by 6}\\\\\boxed{y=\dfrac{8-x}{6}}[/tex]
What is the Value of x
Answer:27
Step-by-step explanation:26/18=39/×
26x=702
×=27
Check the picture below.
4. Describe the proportion method for solving a percentage problem:
There are different ways percent problems can be solved. One of the ways to solve a percent problem is by using proportion method.
By using proportion method, the set-up is the same, I.e.
Further Explanation[tex]\frac{Part}{whole}[/tex] = [tex]\frac{percentage}{100}[/tex]
In any given expression:
The number that has the % sign is the percentThe number with the word “is” is the partThe number with the word “of” is the wholeExample 1:What number is 80% of 10?
It can be expressed as:
[tex]\frac{part}{10}[/tex] = [tex]\frac{80}{100}[/tex]
If we cross multiply, then we have:
10 x 80 = 100 x part
800 = 100 x part
[tex]\frac{800}{100}[/tex] = [tex]\frac{100}{100}[/tex] x part (800 cross out 100 to give 8 and 100 cross out 100)
8 = part
Example 2:3 is what percentage of 6?
It can be expressed as:
[tex]\frac{3}{6}[/tex] = [tex]\frac{percentage}{100}[/tex]
If we cross multiply, then we have:
3 x 100 = 6 x the percent
300 = 6 x the percent
[tex]\frac{300}{6}[/tex] = [tex]\frac{6}{6}[/tex] x the percent (300 cross out 6 to give 50 and 6 cross out 6)
50 = the percent
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1/6 the sum of 16 and 20 https://brainly.com/question/30031931/8 the sum of 23 and 17 https://brainly.com/question/957390KEYWORDS:
proportion methodpercentage problemcross multiplicationpercentmultiplyingThe proportion method is a way to solve percentage problems by setting up a proportion between the part and the whole.
Explanation:The proportion method is a way to solve percentage problems. To use this method, you need to set up a proportion between the part and the whole.
For example, if you have a class with 35 students and 13 of them are wearing sandals, you can find the percentage of students wearing sandals by setting up the proportion: 13/35 = x/100. Then, you cross multiply and divide: 13 * 100 = 35 * x. Solve for x to find the percentage: x = 37%.
sally and timothy have two different answers for 1,785 ÷ 35. without dividing, how can you tell whose answer is wrong sally: 1,785 ÷ 35 = 51 timothy: 1,785 ÷ 35= 501
Answer: Timothy's answer is wrong
When you multiply factors, the product with a certain number of place values, the product should have the the sum of the number of place values.
35 has 2 digits.
51 has two digits.
2 + 2 = 4
1785 has 4 digits.
Plz help ASAP!!!!!! I will give brainliest to the right answer.
How many outcomes do NOT show an even number on the first and show 6 on the second?
Answer:
I believe the answer is 3
Pretty sure it's C.) 5
Hope I helped ¯\_(ツ)_/¯
Write an equation for the graphed function
Answer: g(x) = 1/(x-1) - 3
Step-by-step explanation:
Where would y = 1/x be located?
It would have an asymptote at each of the y and x axes.
This is shifted one to the right, and three down.
To shift one to the right:
y = 1/(x-1)
To shift three down:
y = 1/(x-1) - 3
And we're done!
Find the volume of the cone of with a height of 6cm and a diameter of the base or 6cm
Answer:
The volume of cone v= 113.04 cm³.
Step-by-step explanation:
Formula used to find volume of cone is:
[tex]v= \pi * r^2 * \frac{h}{3}[/tex]
where r is the radius and h is the height of cone.
In the given question we are given:
height h= 6 cm
diameter d= 6 cm
We know radius r = d/2 = 6/2 = 3 cm
so, volume will be:
[tex]v= \pi * 6^2 * \frac{3}{3}[/tex]
[tex]v= \pi * 36 [/tex]
[tex]v=113.04[/tex]
So, the volume of cone v= 113.04 cm³ given height h= 6cm and radius r= 3cm
find a non-zero value of K such that kx^2+ 8x+8+= 0 has only one solution. What is the solution?
kx² + 8x + 8 = 0
We want this to have just one solution, we know this equation:
x = (-b ± √Δ)/2a
So if Δ = 0 we have just one solution.
Δ = b² - 4.a.c
0 = 8² - 4.k.8
0 = 64 - 32k
32k = 64
k = 2
2x² + 8x + 8 = 0
x² + 4x + 4 = 0
(x + 2)² = 0
x + 2 = 0
x = -2
The solution is -2.
The non-zero value of k for which the quadratic equation kx²+8x+8=0 has only one solution is '1'. This is arrived at by setting the discriminant of the quadratic equation (b² - 4ac) to zero and solving for 'k.'
Explanation:The subject of this question is a mathematical concept known as a discriminant in a quadratic equation. A quadratic equation is generally in the form of ax²+bx+c = 0. The discriminant of the quadratic equation kx²+8x+8=0 is given by the formula b²-4ac, where 'a is the coefficient of x² (which is 'k' in this case), 'b' is the coefficient of x, and 'c' is the constant term. The discriminant must equal zero for the quadratic equation to have only one solution. Therefore, we have 8² - 4*k*8 = 0. Solving this equation gives k = 1, which is a non-zero value.
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pxqxqxqxqxqxqxqxqxq expression equivalent
Answer:
pxq^9
Step-by-step explanation:
-hope this is what you're looking for?
square root of 5625
Answer:
75
Step-by-step explanation:
75 × 75 = 5625
75² = 5625
Answer:
75
Step-by-step explanation:
5625 is a mult. of 5 so check 5s also mult. of 3 too.
45?no
75? yes
guess and check possible answers- it had to end in 5, multiple of 3.
if a figure has four sides then it cannot be a triangle
This is true. A triangle can only have 3 sides.
true if it has for sides it can not be a triangle bc triangles have only 3 sides
What is 5.193 rounded to the nearest hundredth?
Is it
5.19 is the answer x hope it helped
5.193 rounded to the nearest hundredth is 5.19.
Given is a decimal number 5.193 we need to round to the nearest hundredth,
To round a number to the nearest hundredth, you need to look at the digit in the thousandth place (two decimal places to the right of the decimal point).
In the case of 5.193, the digit in the thousandth place is 3. To round to the nearest hundredth, we follow the following rule:
If the digit in the thousandth place is less than 5, we round down (keep the same value).
If the digit in the thousandth place is 5 or greater, we round up (increase the value by 1).
Since 3 is less than 5, we round down.
Therefore, 5.193 rounded to the nearest hundredth is 5.19.
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what are the values of a and b
Answer:
[tex]\large\boxed{B.\ a=8,\ b=4\sqrt5}[/tex]
Step-by-step explanation:
We have three similar triangles:
[tex]\triangle ABC\sim\triangle DBA\sim\triangle DAC[/tex]
therefore the sides are in proportion:
[tex]\dfrac{AD}{CD}=\dfrac{BD}{AD}[/tex]
We have AD = a, CD = 16 and BD = 4. Substitute:
[tex]\dfrac{a}{16}=\dfrac{4}{a}[/tex] cross multiply
[tex](a)(a)=(16)(4)\\\\a^2=64\to a=\sqrt{64}\\\\a=8[/tex]
and other proportion:
[tex]\dfrac{AB}{BC}=\dfrac{BD}{AB}[/tex]
We have AB = b, BC = 16 + 4 = 20 and BD = 4. Substitute:
[tex]\dfrac{b}{20}=\dfrac{4}{b}[/tex] cross multiply
[tex](b)(b)=(20)(4)\\\\b^2=80\to b=\sqrt{80}\\\\b=\sqrt{16\cdot5}\\\\b=\sqrt{16}\cdot\sqrt{5}\\\\b=4\sqrt{5}[/tex]
Option B is the correct option.
Similarity of two triangles,
Condition for the similarity of two triangles,
"If two triangles are similar, corresponding sides of these triangles will be proportional"
From the picture attached,
ΔADC and ΔBDA are similar,
By the condition of the similarity, corresponding sides will be proportional.
[tex]\frac{DA}{BD}= \frac{DC}{DA}= \frac{AC}{BA}[/tex]
Substitute the measures given in the picture,
[tex]\frac{a}{4}= \frac{16}{a}= \frac{AC}{b}[/tex]
[tex]\frac{a}{4}=\frac{16}{a}[/tex]
[tex]a^2=64[/tex]
[tex]a=8[/tex]
Now apply Pythagoras theorem in ΔADB,
AB² = AD² + DB²
b² = a² + 4²
b² = 8² + 4² [Since, a = 8]
b = √80
b = 4√5
Therefore, Option B will be the correct option.
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The ages, in years, of children on the swim team are 10, 11, 12, 12, 11, and 13.
What is the mean age of a child on the swim team?
Answer: 11.5
Step-by-step explanation:
To find the mean first add all the numbers then divide by the amount of numbers you added.
10 + 11 + 12 + 12 + 11 + 13 = 69
69/6 = 11.5
Answer:
[tex]mean=11.5[/tex]
Step-by-step explanation:
By definition the Mean is the average of a set of numbers.
In this case, we know that the ages in years of children on the swim team are the following:
10, 11, 12, 12, 11, and 13
Then, to calculate themean age of a child on the swim team, we need to add up all the numbers and divide this by the total number of values in the set.
You can observe that there are six values. Then, the mean age of a child on the swim team is:
[tex]mean=11.5[/tex]
carol and chick are counting calories ehile eating lunch at the school cafeteria in one week carol had 8 slices of pizza,5containers of skim milk and five cups of fruit salad. chick had 5 slices pf pizza,7 containers of fruit salad, and 7 containers of skim milk. chicks calorie count was 2500 and carols was 3070. if each container of skim milk is 40 calories how many calories did carol get from pizza
Answer:
2320 calories
Step-by-step explanation:
We are given the following information;
Carol;
8 slices of pizza
5 containers of skim milk
5 cups of fruit salad
Chick;
5 slices pf pizza
7 containers of skim milk
7 containers of fruit salad
We let x denote the calories in each slice of pizza and y the calories in each cup or container of fruit salad. Chicks calorie count can thus be represented by the following expression;
5x + 7(40) + 7y
5x + 7y + 280
We are also informed that chicks calorie count was 2500 and thus the following equation is formed;
5x + 7y + 280 = 2500
5x + 7y =2220. This will be our first equation
On the other hand, Carols calorie count can be represented by the following expression;
8x + 5(40) + 5y
8x + 5y + 200
We are also informed that Carols calorie count was 3070 and thus the following equation is formed;
8x + 5y + 200 = 3070
8x + 5y = 2870. This will be our second equation
Now, we have two sets of equation;
5x + 7y =2220
8x + 5y = 2870
We solve these simultaneously to determine the values of x and y;
We multiply the first equation by 8 and the second by 5 in order to eliminate x and solve for y;
40x + 56y = 17760
40x + 25y = 14350
Subtracting the second equation from the first yields;
31y = 3410
y = 110
We substitute this value in the first equation and solve for x;
5x + 7(110) = 2220
5x = 2220 - 770
5x = 1450
x = 290
Therefore, each slice of pizza contains 290 calories. Carol had 8 slices of pizza implying that her total calories count from pizza was;
8 * 290 = 2320 calories
What is the probability of rolling a number cube and its landing on an even number?
Answer:
1/2
Step-by-step explanation:
When we roll a die, we can get 1,2,3,4,5,6
There are 6 possible outcomes
The even numbers are 2,4,6
There are 3 ways to get an even number
P(even number) = number of evens/ total outcomes
= 3/6
=1/2
Unit 17- calculations
What exactly is your question?
Answer:
i dont understand
Step-by-step explanation:
plz explain
How is the volume of a prism calculated?
add the area of the base to the height
subtract the area of the base from the height
multiply the area of the base by the height
divide the area of the base by the height
Multiply the area of the base by the height
Answer:
C) multiply the area of the base by the height
Step-by-step explanation:
Prism is a three dimensional figures.
The volume of a prism calculated by multiplying the area of the base and the height.
Volume of a prism = Base area * height.
For example:
Volume of a rectangular prism = base area * height = (lw)*h = lwh cubic units
Volume of a cube = Base area * height = (a*a)*a = a^2*a = a^3 cubic units
Volume of a cylinder = Base area * height = (πr^2)*h = πr^2 h
The answer is C) multiply the area of the base by the height
Justine is a wedding coordinator. She is selecting the menu options for the reception
Lucy spends $140 at the grocery store. Dairy items made up 1/7 of her purchase and vegetables accounted for 3/20 of her total. How much money did Lucy spend on items that were not dairy or vegetable items?
For this case we make a rule of three to find the cost of dairy products and vegetables.
$ 140 --------------> 1
x ------------------>[tex]\frac {1} {7}[/tex]
Where "x" represents the amount of money spent on dairy products.
[tex]x = \frac {\frac {1} {7} * 140} {1}\\x = 20[/tex]
So, I spend $ 20 on dairy products.
Now we have:
$ 140 --------------> 1
y ------------------> [tex]\frac {3} {20}[/tex]
Where "y" represents the amount of money spent on vegetables.
[tex]x = \frac {\frac {3} {20} * 140} {1}\\x = 21[/tex]
So, I spend $ 21 on vegetables.
Therefore, I spend $ 41 on vegetables and dairy products.
$ 140- $ 41 = $ 99
Spending $ 99 dollars on products other than vegetables and dairy products
Answer
$ 99
What is the length of a diagonal of a cube with a side length of 1 cm?
I know it is 1.73.
But what is the correct answer choice?
A)Square root of 2?
B)Square root of 3?
C)Square root of 4?
D)Square root of 5?
Answer:
The answer is B
Step-by-step explanation:
Answer:
option B. square root of 3
Step-by-step explanation:
In the figure attached the length of one side of the cube is 1 cm.
In the triangle ABC, Side AB = 1 cm
Since side BC is the diagonal of 1 base of the given cube.
Therefore, mBC = [tex]\sqrt{1+1}=\sqrt{2}[/tex] cm
Now we have to calculate the length of diagonal AC.
AC = [tex]\sqrt{AB^{2}+BC^{2}}[/tex]
AC = [tex]\sqrt{1+2}=\sqrt{3}[/tex]
Therefore, option B. square root of 3 will the length of diagonal of the cube.
Which type of data is best represented by a line graph?
A.each response shown by an X or dot
B.data that are compared using bars
C.change in data over time
D.parts of a total amount
C. change in data over time
Answer:
c. change in data over time
Step-by-step explanation: