It would take him 11 minutes
He is currently eating 4 a minute because 24 divided by 6 is 4 and if you divide 44 by 4 you get eleven.
0.103 rounded to two decimal places
Answer:
0.10Step-by-step explanation:
0.103 <= You want to round the number to two decimal places, we will use the 3 to see if it should be rounded up, or stay the same
3 is less than or not equal to 5, so therefore it should be rounded down
0.10 <= Your answer should be like this, or 0.1 if you don't want to add the 0 (because they are the same thing)
I hope this helps! Make sure to give me the brainliest answer , because it is greatly appreciated. Thank You!
John has finished 20% of an art project that taken 3 hours if he Continues to work at the same rate how many hours will it take
Answer:
15 hours
Step-by-step explanation:
To solve this you start by setting up the proportion: [tex]\frac{3}{x} \\\\[/tex] = [tex]\frac{20}{100}[/tex]. This is because we want to know if 3 hours is 20 percent, then how much is 100 percent.
Next we cross multiply to get 300 = 20x
Now we can divide both sides by 20 to get 15.
To check the work we can multiply 15 by .2 and we get 3, so we know it's correct.
Answer:
15 hours to do the entire project
Step-by-step explanation:
20% is the same as 1/5.
"percent" means "per 100", so 20% means 20/100 which reduces to 1/5.
20% of an art project took 3 hours. That means that 1/5 of the art project took 3 hours. The entire project then takes 5 times as much time.
5 * 3 hours = 15 hours
It takes 15 hours to do the entire project.
15 - 3 = 12
It takes 12 more hours after 20% was done.
Vanessa was making baggies of cookies with Six cookies in each bag. If she had twenty-five chocolate cookies and twenty-nine oatmeal cookies, how many baggies could she make?
Desmond paid 8.5% sales tax when he bought a new phone. The sales tax was $12.75. What was the cost of the phone, without tax? *
The cost of the phone, without tax is,
⇒ $150
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
We have to given that;
Desmond paid 8.5% sales tax when he bought a new phone.
And, The sales tax was $12.75.
Now,
Let the cost of the phone, without tax = x
Hence, We can formulate;
⇒ 8.5% of x = 12.75
⇒ 8.5/100 × x = 12.75
Multiply by 100;
⇒ 8.5x = 12.75 × 100
⇒ 8.5x = 1275
Divide by 8.5 both side;
⇒ x = 1275/8.5
⇒ x = 150
Therefore, We get;
The cost of the phone, without tax is,
⇒ $150
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To find the cost of the phone without tax, convert the tax rate to a decimal and then divide the amount of sales tax paid by this decimal. The calculation shows that the phone cost $150.00 before tax.
Explanation:Desmond paid an 8.5% sales tax on a new phone and the amount of tax was $12.75. To find the cost of the phone without tax, we can divide the amount of sales tax paid by the tax rate expressed as a decimal.
Here's how to calculate the cost of the phone before tax:Convert the tax rate from a percent to a decimal by dividing by 100: 8.5% / 100 = 0.085.Divide the amount of sales tax paid by the decimal tax rate: $12.75 / 0.085.The result will give you the cost of the phone before tax.Let's do the calculation:
$12.75 \/ 0.085 = $150.00
Therefore, the cost of the phone before the addition of sales tax was $150.00.
I need help really quick with 1 math problem.
The length of image of AB after the dilation is 18 cm
Solution:
Given data:
Length of AB = 9 cm
Scale factor (k) = 2
Length of image of AB = ?
By the definition of scale factor,
[tex]$k=\frac{\text { Length of Dilated image AB }}{\text { Length of original image } \mathrm{AB}}$[/tex]
[tex]$2=\frac{\text { Length of Dilated image AB }}{9}[/tex]
Do cross multiplication, we get
2 × 9 = Length of dilated image of AB
18 = Length of dilated image of AB
Hence the length of image of AB after the dilation is 18 cm.
Write an equation to represent the relationship between the step number, n, and the number of dots, y.
The equation that represents the relationship between step number and the number of dots is [tex]y=5^n[/tex].
Solution:
Let the number of dots be y.
Step number 0: Number of dots = 1
y = 1
Using exponential rule: [tex]a^0=1[/tex]
[tex]y=5^0[/tex]
Step number 1: Number of dots = 5
y = 5
[tex]y=5^1[/tex]
Step number 2: Number of dots = 25
y = 25
[tex]y=5^2[/tex]
Step number 3: Number of dots = 125
y = 125
[tex]y=5^3[/tex]
Note that in step number 0 the power is 0, 1st step power of 5 is 1, 2nd step power of 5 is 2 and the third step power of 5 is 3.
If the process goes on up to n steps, then power of 5 is n.
∴ Step number n:
[tex]y=5^n[/tex]
Number of dots = [tex]5^n[/tex].
Hence the equation that represents the relationship between step number and the number of dots is [tex]y=5^n[/tex].
What model represents the equation below. Please give me a explanation.
Answer:
b
Step-by-step explanation:
when you have the l-10l it means the distance from 0 and the distance from 0 from -10 is 10
A person is supposed to drink half a gallon of water every day.abby drank 15 small cups today if the capacity of the cup is 3.5 oz how much more water does need to drink today
He needs to drink 3 cups MORE to meet his daily requirement.
Step-by-step explanation:
Here, as given in the question:
The total need for water = half a gallon = 0.5 gallon
1 gallon = 128 oz
So, 0.5 gallon = 128/2 = 64 oz
Now, the capacity of 1 cup = 3.5 oz
The number of cups already drank by the person = 15 cups
So, the total amount of water already taken by him
= 15 cups x Capacity of 1 cup
= 15 x (3.5 oz) = 52.5 oz
So, the amount of water left to be drink by him
= Total Need - Already covered
= 64 oz - 52 . 5 oz = 11.5 oz
Now, as 1 cup = 3.5 oz
So, 11.5 oz has [tex]( \frac{11.5}{3.5} )[/tex]cups = 3.28 cup≈ 3 cups
Hence, he needs to drink 3 cups MORE to meet his daily requirement.
Final answer:
Abby has already consumed 52.5 oz of water by drinking 15 small cups at 3.5 oz each. Since the recommended daily intake is 64 oz, she needs to drink an additional 11.5 oz to meet the daily hydration recommendation.
Explanation:
The question pertains to calculating the amount of water a person needs to drink to meet the recommended daily hydration level. In this case, the student needs to find out how much more water Abby should drink after having consumed 15 cups of 3.5 oz each.
First, we calculate the total amount of water Abby has already consumed -
Multiply the number of cups by the capacity of each cup: 15 cups x 3.5 oz/cup = 52.5 oz.Now, let's convert half a gallon to ounces since that's the recommended amount to drink per day. There are 128 ounces in a gallon, so half a gallon is 64 ounces.To find out how much more water Abby needs to drink, subtract the amount she has already consumed from the recommended total: 64 oz - 52.5 oz = 11.5 oz.Therefore, Abby needs to drink an additional 11.5 ounces of water to meet the daily recommendation of half a gallon.
A painting with dimensions 10 inches by 14 inches is placed in a picture frame (of constant width), increasing its area to 221 square inches. How many inches is the width of the picture frame?
Answer:
1.5 inches
Step-by-step explanation:
(10+2x)(14+2x) = 221
4x² + 48x - 81 = 0
4x² + 54x - 6x - 81 = 0
2x(2x + 27) - 3(2x + 27) = 0
(2x + 27)(2x - 3) = 0
x = -27/2, 3/2
x = 3/2 or 1½ or 1.5 inches
The width of the picture frame is [tex]\\ x_{2} &=1,5 \end{aligned}$[/tex].
Quadratic equation formulaGiven:
A painting with dimensions 10 inches by 14 inches is placed in a picture frame (of constant width), increasing its area to 221 square inches.
From the above explanation, we get the equation
[tex]4 x^{2}+2 \cdot 10 x+2 \cdot 14 x+10 \cdot 14 &=221[/tex]
[tex]\\ 4 x^{2}+48 x+140 &=221[/tex]
By using the quadratic formula, we get
[tex]\\ 4 x^{2}+48 x-81 &=0[/tex]
Solve with the quadratic equation formula
For a quadratic equation of the form [tex]$a x^{2}+b x+c=0$[/tex] the solutions are
[tex]\\ x &=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]
[tex]\\ x &=\frac{-48 \pm \sqrt{48^{2}-4 \cdot 48 \cdot(-81)}}{2 \cdot 4}[/tex]
[tex]\\ x &=\frac{-48 \pm \sqrt{3600}}{8}[/tex]
[tex]\\ {\left[x_{1}\right.} &=-13,5][/tex]
[tex]\\ x_{2} &=1,5 \end{aligned}$[/tex]
Therefore, the width of the picture frame is [tex]\\ x_{2} &=1,5 \end{aligned}$[/tex].
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Which is the equation of the line with a slope 3 and y intercept 5
A( 3x-y= -5
B( 5x-y= -3
C( 3x-5y= 0
D( 5x-3y=0
Solution:
The slope intercept form of equation is given as:
y = mx + c ------ eqn 1
Where,
m is the slope of line
c is the y intercept
From given,
slope = m = 3
y intercept = c = 5
Substitute m = 3 and c = 5 in eqn 1
y = 3x + 5
3x - y = -5
Thus the equation of line is found
What is the value of x in the equation 13 x minus 2 (8 + 5 x) = 12 minus 11 x?
Answer:
x = 2
Step-by-step explanation:
Step 1: Convert words into an expression
What is the value of x in the equation 13 x minus 2 (8 + 5 x) = 12 minus 11 x?
13x - 2(8 + 5x) = 12 - 11x
Step 2: Distribute
13x - 2(8 + 5x) = 12 - 11x
13x - 16 - 10x = 12 - 11x
Step 3: Solve for x
13x - 16 - 10x + 11x + 16 = 12 - 11x + 11x + 16
14x / 14 = 28 / 14
x = 2
Answer: x = 2
Answer:
x=2
Step-by-step explanation:
Just took the test
HELPPPPP :Expressions: Multiple choice: picture provided. With questions and answer choices. USA test prep question
Option B:
[tex]$x=\pm 2\frac{1}{2}[/tex]
Solution:
Given expression:
[tex]$3 x^{2}=18 \frac{3}{4}[/tex]
To find the value of x:
[tex]$3 x^{2}=18 \frac{3}{4}[/tex]
Convert mixed fraction into improper fraction.
[tex]$3 x^{2}= \frac{18\times 4+3}{4}[/tex]
[tex]$3 x^{2}= \frac{75}{4}[/tex]
Divide by 3 on both sides of the equation, we get
[tex]$x^{2}= \frac{25}{4}[/tex]
[tex]$ x^{2}= \frac{5^2}{2^2}[/tex]
Taking square root on both side of the equation.
[tex]$\sqrt{ x^{2}}= \sqrt{\frac{5^2}{2^2}}[/tex]
[tex]$ x=\pm \frac{5}{2}[/tex]
Convert improper fraction into mixed fraction.
[tex]$x=\pm 2\frac{1}{2}[/tex]
Hence option B is the correct answer.
Order of operations 8 (4)(8)-14
Miss Nestor is randomly passing out books to her students for free reading time. In her book basket, she has 10 mysteries, 8 historical fiction novels, and 2 biographies. If there are 10 students in Miss Nestor's class for free reading time today, which of the following is the best prediction of the number of students who will receive historical fiction novels for free reading time?
The best prediction is that around 4 students (40% of 10 students) will receive historical fiction novels during Miss Nestor's class free reading time.
Miss Nestor is randomly passing out books to her students for free reading time. With a mix of 10 mysteries, 8 historical fiction novels, and 2 biographies in her basket, and 10 students in the class, we can make a prediction. Assuming each genre of book has an equal chance of being selected and each student gets one book, the probability of getting a historical fiction novel is the number of historical fiction novels divided by the total number of books. That's 8 historical fiction novels divided by (10 mysteries + 8 historical fiction novels + 2 biographies), which equals 8/20 or 40%. Therefore, if we predict using probability, around 40% of the students, which equals 4 students (40% of 10 students), will receive historical fiction novels for free reading time.
the best prediction of the number of students who will receive historical fiction novels for free reading time is 4.
To predict the number of students who will receive historical fiction novels, we can use the concept of probability.
First, let's find the probability that a student randomly selects a historical fiction novel from the basket.
The total number of books in the basket is 10 + 8 + 2 = 20
The probability of selecting a historical fiction novel is the ratio of the number of historical fiction novels to the total number of books:
[tex]\[ P(\text{historical fiction}) = \frac{8}{20} = \frac{2}{5} \][/tex]
Now, if there are 10 students in the class, the expected number of students who will receive historical fiction novels can be found by multiplying the probability by the total number of students:
Expected number of students receiving historical fiction = P(historical fiction) * Total number of students
[tex]\[ = \frac{2}{5} \times 10 \][/tex]
= 4
So, the best prediction of the number of students who will receive historical fiction novels for free reading time is 4.
How many times does six go into 420
Answer:
70
Step-by-step explanation:
Step 1: Divide
420 / 670
70
Answer: 70
Use the difference of two squares to find the product of 22 and 18. Enter the correct number in each box. ( + )( − ) = ( )2 − ( )2 = 396
Answer:
(20+2) (20-2) = 20² - 2²
20² - 2² = 396
Step-by-step explanation:
from the rule of the difference of two square which states thate
(a + b)(a − b) = a² − b²
therefore, 22 can also be written as (20 + 2),
while 18 can be written as (20 -2)
therefore by the rule of the difference of two square the product of both expression will give
(20+2) (20-2) = 20² - 2² = 400 - 4 = 396
Step-by-step explanation:
= (20 + 2) × (20 - 2)
= 22 × 18
= a^2 - b^2 = 396
= (a + b) × (a - b) = 396
From the above, a = 20 and b = 2.
Therefore,
(20^2) - (2^2) = 396.
Sam packed some cookies in a right circular cylindrical can which has a radius of 5 inches and its height is 9 inches. What is the surface area of this can in terms of pi?
A. 90 pi squared
B. 140 pi squared
C. 175 pi squared
D. 196 pi squared
Answer: It's B
Step-by-step explanation: Got 100% on the quiz
What is the factorization of the expression below 16x^2-49
16x²-49=
(4x)²-7²=
(4x-7)(4x+7)
Here I have used the expression:
a²-b²=(a-b)(a+b)
Answer:
(4x-7)(4x+7)
Step-by-step explanation:
16x² - 49
realize that 16 = 4² and 49 = 7²
Substituting these values into the expression,
16x² - 49
= 4²x² - 7²
= (4x)² - 7²
recall the algebra property : a² - b² = (a+b)(a-b)
Applying this to our expression:
(4x)² - 7²
= (4x-7)(4x+7) Answer
Please help and explain
ANSWER ASAP!!!!
The fish is 2.25 ft above the water surface.
Step-by-step explanation:
Step 1: Given expression for height of the fish above the water surface, y = -16x² + 12x where x is time in seconds. Find height after 0.375 seconds⇒ y = -16(0.375)² + 12 × 0.375 = -2.25 + 4.5 = 2.25 ft
Find x and y with only 13.1
Answer:
x= 45
y= 18.5 (3 s.f.)
Step-by-step explanation:
Since the quadrilateral has 4 equal sides, it is a square and hence the 4 angles are right angles.
I have drawn the 2 triangles of the square separately for better understanding.
Please see the attached pictures for full solution.
Brownies are $1.58 for a 6-pack
brownies are $3.99 for a 12-pack
which is the better buy per a brownie?
Answer: Brownies that are $1.58 for a 6-pack
Step-by-step explanation:
Well, since 6 times 2 is 12, why don’t you just add $1.58 again, right? So if you do you get $3.16. So Brownies that are $1.58 for a 6-pack are better.
Answer:
6-packStep-by-step explanation:
First you divide 1.58 and 6 to find how much one brownie is.
So that would be roughly $0.26.
Now you divide 3.99 and 12 which is roughly $0.33.
So you now have to see which one has a smaller cost. Which is $0.26. SO it would be the 6-pack.
Another way to figure is out to multiply 0.26 and 12, and 0.33 and 6.
0.33 x 6=1.98
0.26 x 12=3.12
So that makes it more clear that the 6 pack is a better buy!
Find the LCD in this problem please!!!
Answer:
the answer is 36xy squared
Kendra has $70 Alonso has 1/10 as much money as Kendra Rico has 10 times as much money as Kendra how much money does Alonso have how much money does Mariko have
Answer: Alonso has $7 and Rico has $700
Step-by-step explanation:
Kendra= 70$
Alsonso= 70 * 0.1 = 7$
Rico= 70 *10 = 700$
please give brainliest!
Answer:Alonso has $7 and Rico has $700
Step-by-step explanation:
Kendra= 70$
Alsonso= 70 * 0.1 = 7$
Rico= 70 *10 = 700$
please give brainliest!
What is the slope of line on the graph help pwease
Answer: is where that one dot is at home n the y-axis
Step-by-step explanation:
Step-by-step explanation:
Line is passing through the points (6, 2) & (0, 4)
Therefore slope
[tex]m = \frac{2 - 4}{6 - 0} = \frac{ - 2}{6} = - \frac{1}{3} \\ [/tex]
a rectangle has dimensions of 2 inches by 6 inches. If the dimensions are tripled. what is the new perimeter?
Answer:
48.
Step-by-step explanation:
Perimeter is 2l+2w
current perimeter is 16
16x3=48
25 POINTSSSS
What is the area of the figure
PLEASE MAKE SURE IT IS RIGHT
Answer:
square area is 100 in
triangle area is 12
so your full area of the figure would be 112 i believe
Step-by-step explanation:
Hope this helps have a wonderful day
Which of the following are geometric sequences?
Check all that apply.
The options A, B and C are geometric sequences whereas option D is not.
Step-by-step explanation:
Step 1:
For a series to be a geometric sequence, the numbers in the series must be of a common multiplying ratio. So multiplying a constant value with any number will give the value of the next number.
The multiplying constant can be determined by;
[tex]\frac{2^{nd} term}{1^{st} term} = \frac{3^{rd} term}{2^{nd} term} = \frac{4^{th} term}{3^{rd} term} =[/tex] The common multiplying ratio.
Step 2:
For option A, we determine the multiplying ratio,
[tex]\frac{2^{nd} term}{1^{st} term} = \frac{10}{5} =2,[/tex] [tex]\frac{3^{rd} term}{2^{nd} term} = \frac{20}{10} =2, and[/tex] [tex]\frac{4^{th} term}{3^{rd} term} = \frac{40}{20} =2.[/tex]
Since there is a common multiplying ratio of 2, option A is a geometric series.
Step 3:
For option B, we determine the multiplying ratio,
[tex]\frac{2^{nd} term}{1^{st} term} = \frac{5}{10} =0.5,[/tex] [tex]\frac{3^{rd} term}{2^{nd} term} = \frac{2.5}{5} =0.5, and[/tex] [tex]\frac{4^{th} term}{3^{rd} term} = \frac{2.5}{1.25} =0.5.[/tex]
Since there is a common multiplying ratio of 0.5, option B is also a geometric series.
Step 4:
For option C, we determine the multiplying ratio,
[tex]\frac{2^{nd} term}{1^{st} term} = \frac{3}{1} =3,[/tex] [tex]\frac{3^{rd} term}{2^{nd} term} = \frac{9}{3} =3, and[/tex] [tex]\frac{4^{th} term}{3^{rd} term} = \frac{27}{9} =3.[/tex]
Since there is a common multiplying ratio of 3, option C is a geometric series.
Step 5:
For option D, we determine the multiplying ratio,
[tex]\frac{2^{nd} term}{1^{st} term} = \frac{6}{3} =2,[/tex] [tex]\frac{3^{rd} term}{2^{nd} term} = \frac{9}{6} =1.5, and[/tex] [tex]\frac{4^{th} term}{3^{rd} term} = \frac{12}{9} =1.33.[/tex]
Since there is no common multiplying ratio, option D is not a geometric series.
Answer: C & D
Step-by-step explanation:
A car travels for 4(t+3) hours at a constant speed of 10(t+3) km/h. If the total distance travelled by the car is 810 km, find the speed of the car.
Step-by-step explanation:
[tex] \because \: time \times speed = distance \\ \therefore \: 4(t + 3) \times 10(t + 3) = 810 \\ \therefore \: 4(t + 3)^{2} = 81 \\ \therefore \: \{2(t + 3) \}^{2} = {9}^{2} \\ \therefore \: \{2(t + 3) \} = {9} \\ \therefore \: t + 3 = \frac{9}{2} \\ \therefore \: t = \frac{9}{2} - 3 \\ \therefore \: t = \frac{9 - 6}{2} \\ \therefore \: t = \frac{3}{2} \\ \therefore \: t = 1.5 \: hrs \\ [/tex]
[tex] \because \: time \times speed = distance \\ \therefore \: 4(t + 3) \times 10(t + 3) = 810 \\ \therefore \: 4(t + 3)^{2} = 81 \\ \therefore \: \{2(t + 3) \}^{2} = {9}^{2} \\ \therefore \: \{2(t + 3) \} = {9} \\ \therefore \: t + 3 = \frac{9}{2} \\ \therefore \: t = \frac{9}{2} - 3 \\ \therefore \: t = \frac{9 - 6}{2} \\ \therefore \: t = \frac{3}{2} \\ \therefore \: t = 1.5 \: hrs \\ speed \: of \: car = 10(t + 3) \\ \hspace{60 pt} = 10(1.5 + 3) \\ \hspace{60 pt}= 10 \times 4.5 \\ \red{ \boxed{ \bold{ \therefore \: speed \: of \: car = 45 \:km/ h}}} \\ [/tex]
write the following sentence as an equation: x is directly proportional to y and is inversely proportional to the cube of z.
Step-by-step explanation:
x=y
y=1/z^3
Now,
for equation,
x=y=1/z^3
x is directly proportional to y and is inversely proportional to the cube of z.
Then, x = y = [tex]$\frac{1}{z}^{3[/tex].
What is directly proportional and inversely proportional?If y exists directly proportional to x then,
y/x = k
⟹ y = kx
If y exists inversely proportional to x then,
yx = k
⟹ y = k/x
Let, x is directly proportional to y.
It suggests that when all other phrases which affect x exist kept constant, x changes at a rate that exists a constant multiple of the rate at which y changes.
Let, x ∝ y
⟹ x = ky, x ∝ y
⟹ x = ky
Where k is constant.
when you exist told that x exists directly proportional to y.
x = y
y = [tex]$\frac{1}{z}^{3[/tex]
From the given information, we get
x = y = [tex]$\frac{1}{z}^{3[/tex]
Here, x is directly proportional to y and is inversely proportional to the cube of z.
Therefore, x = y = [tex]$\frac{1}{z}^{3[/tex].
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Any help on the top question?
A total of 168 non-commercial vehicles and 60 commercial vehicles use the country's highways during September.
Step-by-step explanation:
Step 1:
Assume the number of non-commercial vehicles to be x and the number of commercial vehicles to be y.
It is given that for every 14 non-commercial vehicles there will be 5 commercial vehicles. So a ratio can be formed as follows;
[tex]\frac{x}{14}[/tex] = [tex]\frac{y}{5}[/tex], cross multiplying, we get [tex]5 x=14 y[/tex], take this as equation 1.
Step 2:
It is also given that there were 108 more non-commercial vehicles than commercial vehicles. So
[tex]x=y+108[/tex], take this as equation 2.
If we solve equations 1 and 2, we will get the values of x and y.
Step 3;
Substitute equation 2 in equation 1.
[tex]5(y+108)=14 y[/tex],
[tex]5y+540 = 14y[/tex],
[tex]y = \frac{540}{9} = 60[/tex].
Substitute [tex]y = 60[/tex] in equation 2.
[tex]x=60+108 = 168[/tex].
So x = 168 and y = 60.
So a total of 168 non-commercial vehicles and 60 commercial vehicles use the country's highways during September.