Carson packed his movies in a box that is in the shape of a rectangular prism. The height of the box is 17 inches. The length of the box is 1.5 times the height. The volume of the box is 5,635.5 cubic inches. What is the width of the box?

Answers

Answer 1

Answer:

Width: 13 inches

Step-by-step explanation:

To find the width of prism you would have to divide the volume of the prism by the area of the cross section.

First calculate the area of the cross section of the prism:

17 × 25.5= 433.5

Then divide the cross section area by the volume:

5635.5 ÷ 433.5= 13  

The width is 13 inches


Related Questions

What is the biggest difference between exponential functions and other functions you have learned about up to this point?

Answers

Answer:

No no don't click the link

Answer:

The biggest difference between exponential and linear functions is that linear functions change at a constant rate, while exponential functions change at a rate proportional to it's value, or exponent.

Basically, that's also what separates exponential functions from all others. It's the only function that changes at a rate proportional to its exponent.

Step-by-step explanation:

1. Find the equation of the parabola satisfying the given conditions.

Focus: (3,6); Directrix: x=−1

A. (x−1)2=8(y−6)

B. (y−6)2=8(x−1)

C. (x−1)2=−8(y−6)

D. (y−6)2=−8(x−1)


2. Find the equation of the parabola satisfying the given conditions.

Focus: (−6,3); Directrix: y=1

A. (y−2)2=4(x+6)

B. (x+6)2=4(y−2)

C. (x+6)2=−4(y−2)

D. (y−2)2=−4(x+6)


3. Find the equation of an ellipse that has foci at (−1,0) and (4,0), where the sum of the distances between each point on the ellipse and the two foci is 9.

A. (x+1)2+y2−−−−−−−−−−−√+(x−4)2+y2−−−−−−−−−−−√=9

B. (x−1)2+y2−−−−−−−−−−−√+(x+4)2+y2−−−−−−−−−−−√=9

C. (x+1)2+y2−−−−−−−−−−−√+(x−4)2+y2−−−−−−−−−−−√=81

D. (x−1)2+y2−−−−−−−−−−−√+(x+4)2+y2−−−−−−−−−−−√=81


4. Find the equation of a hyperbola that has foci at (−1,0) and (4,0), where the difference of the distances between each point on the ellipse and the two foci is 5.

A. (x+1)2+y2−−−−−−−−−−−√−(x−4)2+y2−−−−−−−−−−−√=25

B. (x−1)2+y2−−−−−−−−−−−√−(x+4)2+y2−−−−−−−−−−−√=5

C. (x−1)2+y2−−−−−−−−−−−√−(x+4)2+y2−−−−−−−−−−−√=25

D. (x+1)2+y2−−−−−−−−−−−√−(x−4)2+y2−−−−−−−−−−−√=5

Answers

Answer:

CABD

Step-by-step explanation:

What Is 21+21,000 Please tell me what the answer

Answers

Answer:

21021

Step-by-step explanation:

Lollipops cost 12p each, but I get 3 for 30p. What is the maximum number of lollipops I can buy if I have £2 to spend?

Answers

Answer:

18 lolly pops

Step-by-step explanation:

3 = 30p

3x6 = 1.80

= 18

3.
Mrs Rita buys 6 cartons of soya bean milk. Each carton contains 1.251
of soya bean milk. Does Mrs Rita have enough soya bean milk to fill up
20 mugs with a capacity of 320 ml each? Explain.​

Answers

Yes, it is possible to fill all twenty mugs.

Translate the phrase into an inequality:
Seven plus a number x is at most twenty

Answers

At most means less than or equal to:

7 + x ≤ 20

state the equation of a line with slope m=2 and y intercept =3 then graph the line

Answers

Answer:

y=2x+3

The coefficient attached to x is the slope and the number being added to it is the y intercept.

Please see the attached image

Question in pic plz help! ~

Answers

Im gonna label the long side of a rectangle a and the smaller side b.

For the perimeter, 2a + 2b = 34

For the area, a x b = 66

if a is 11 and b is 6, the equation for perimeter would be 22 + 12 = 34.

So a = 11 and  b = 6

Answer:

Longer side = 11

Shorter side = 6

Step-by-step explanation:

L x W = 66,  then W = 66/L

2L + 2W = 34

substitute for W:

2L + 2(66/L) = 34

2L + 132/L = 34

multiply both sides of the equation by L:

2L² + 132 = 34L

divide both sides by 2:

L² + 66 = 17L

L² - 17L + 66 = 0

factor:

(L - 11)(L - 6) = 0

L = 11 or L = 6

if L = 11, then W = 6

if L = 6 then W = 11

28) (-5ưyA +9u) + (-5ư v4 - 8u + 8u²v2)+(-8u*v + 8uº4)=

Answers

Answer: good luck

Step-by-step explanation:

Dani has only 1/2 of a cup of baking mix. She needs 3/4 of a cup for one batch of muffins. Which solution method shows how much of a batch of muffins Dani can make?

Answers

Answer:

Step-by-step explanation:

Dani has only 1/2 of a cup of baking mix. She needs 3/4 of a cup for one batch of muffins. Which solution method shows how much of a batch of muffins Dani can make?

5th grade math. correct answer will be marked brainliest

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

9×[tex]\frac{1}{3}[/tex]

9×1/1×3=

[tex]\frac{9}{3}[/tex]÷3=

3!!!!

Can someone please help me with math

Answers

Answer:

A

Step-by-step explanation:

Hello There!

This is the formula for volume of a cylinder

[tex]V=\pi r^2h[/tex]

where r = radius and h = height

we are given the height and diameter height - 10 ft diameter - 22 ft

we are not give the radius directly but we can easily convert the diameter to the radius by dividing by 2

22/2=11 so the radius is 11

now having found the radius and height we plug in the values into the formula (note: it says leave answer in terms of pi so we will not apply pi to the final answer.)

[tex]V=\pi 11^210\\11^2=121\\121*10=1210\\V=1210\pi[/tex]

so we can conclude that the answer is A

it’s 82 :))))))))))))))))

Two angles are supplementary. The first angle is 3x degrees. The second angle is (2x + 25) degrees. Determine the measure of each angle.

Answers

Answer: a = 3x

b = 2x+25

180 = a + b

180 = 3x + 2x + 25

180 = 5x + 25

155 = 5x

x = 31

a = 3*31 = 93

b = 2*31 + 25 = 87

Step-by-step explanation: pls mark as branlyest

Please help Sammy buys light bulbs in pack of 8 for $20. The shipping cost is $10 regardless of the number of packs bought. Billy has only $120 to spend.

Answers

Answer:

5

Step-by-step explanation:

Plz help!!!!
Josh conducted an experiment with the bag of
marbles shown below. He will draw a marble out of the bag, record the result, return the marble to the bag, and draw another marble, continuing the process.
If he completes this process 600 times, about how many
times should he expect to draw a striped marble?
A.Approximately 400 times
B.Approximately 250 times
C.Approximately 200 times
D.Approximately 150 times

Answers

Answer:

Step-by-step explanation:

There are 12 marbles in total with three of them being striped. The chance of pulling out a striped marble is 3/12 which can be reduced to 1/4. And 1/4 of 600 is 150.

Help me please!!!!!!!!!!!

Answers

Answer:

A reflection over the y-axis.

Eu tenho um ovo de páscoa que custa 24,99 e tem 185 gramas, tbm tenho uma barra de chocolate q custa 5,10 e tem 90 gramad. Qual da mais vantagem para mim?

Answers

Answer:

A maior vantagem para mim é a barra de chocolate.

Step-by-step explanation:

Temos que encontrar o custo de 1 grama de ovo de Páscoa e barra de chocolate

Para o ovo de páscoa

Tenho um ovo de Páscoa que custa 24,99 e tem 185 gramas.

185 gramas = 24,99

1 grama = x

Multiplicação cruzada

185 gramas × x = 1 grama × 24,99

x = 1 grama × 24,99 / 185 gramas

x = 0,1612258065

Aproximadamente = 0,16

O custo de 1 grama de ovo de Páscoa = 0,15

Para a barra de chocolate

Também tenho uma barra de chocolate que custa 5,10 e tem 90 gramas.

90 gramas = 5,10

1 grama = x

Multiplicação cruzada

90 gramas × x = 1 grama × 5,10

x = 1 grama × 5,10 / 90 gramas

x = 0,0566666667

Aproximadamente = 0,06

O custo de 1 grama de barra de chocolate = 0,06

A maior vantagem para mim é a barra de chocolate.

A girl is putting jars of jam into boxes.She puts 8 jars into each box,and she has a total of 144 jars.She wants to know how many boxes she needs how much boxes does she need

Answers

Answer:

18

Step-by-step explanation:

she needs 18 boxes divide 144 by 8 then u get ur answer

Please answer correctly! I will mark you Brainliest!

Answers

Answer:

158.35

Step-by-step explanation:

Which of the following is equivalent to the expression below?

Answers

Answer:

A. 7✓6 - 6x✓6

Explanation:

7✓6 - 5x✓6 - x✓6

= 7✓6 - (5x + x)✓6

= 7✓6 - 6x✓6

PLEASE HELP ALGEBRA!!

Answers

Answer:

The very first one is decay and the rest are growth

Step-by-step explanation:

Im SO sorry if i got it wrong

I REALLY hope this helped

Best of luck

HELP PLEASE

Marcus works at the grocery store. He earns 8.75 per hour. Last week he worked 6.5 hours. How much did Marcus make last week?

Answers

20 dollars bev b h h b g v v v v.

At 5 am, the temperature was -10°F. By noon the temperature was 7°F, What Integer
represents the change in temperature from 5 am, to noon?

Answers

Answer:

The integer that represents the change in temperature is 17.

Step-by-step explanation:

Can someone help me with this. Will Mark brainliest.

Answers

answer: (0,-5)

explanation: using midpoint formula

1. A psychologist was interested in the effect of Vitamin A deficiency on maze learning rats. A group of nine rats learned a simple maze. Next, these same rats were deprived of Vitamin A for six weeks and were then tested again on their ability to learn a second maze equal in difficulty to the first. The scores represent the number of maze errors made under the two treatment conditions. Perform an appropriate two-tailed test of the significance of the mean difference.

Answers

Answer: hello your question has some missing information attached below is the missing information

we fail to reject H0 hence μ1 = μ2mean difference ( d )  = -2.444

Step-by-step explanation:

H0 : μ1 = μ2

Ha : μ1 ≠ μ2

where : μ1 = mean number of errors made in pretest

            μ2 = mean number of errors made in post test

n = 9

attached below is the detailed solution

Which system of inequalities has this graph as its solution?
y 10
-10
- म
5
10
-10
OA. y < 21 - 3
y OB.y > 2 - 3
y> : +4
Ocy > 21 - 3
y < = + 4

Answers

Is this real math?!

Find all the missing elements
Round to the nearest tenth.

Answers

Answer:

B = 48.7°

C = 61.3°

b = 12

Step-by-step explanation:

Given:

A = 70°

a = 15

c = 14

Required:

B, C, and b

Solution:

✔️Using the law of sines, let's find C:

Sin C/c = Sin A/a

Plug in the values

Sin C/14 = Sin 70/15

Cross multiply

Sin C × 15 = Sin 70 × 14

Divide both sides by 15

Sin C = (Sin 70 × 14)/15

Sin C = 0.8770

C = Sin^{-1}(0.8770)

C = 61.282566° = 61.3° (nearest tenth)

✔️Find B:

B = 180 - (70 + 61.3) (sum of triangle)

B = 48.7°

✔️Find b using the law of sines:

b/sinB = a/sinA

Plug in the values

b/sin 48.7 = 15/sin 70

Cross multiply

b*sin 70 = 15*sin 48.7

Divide both sides by sin 48.7

b = (15*sin 48.7)/sin 70

b = 11.9921789

b = 12.0 (nearest tenth)


What is the area of the triangle in square yards?
6 yd.
15 3/4 yd.

Answers

Answer:

6x15 2/4 yd dividedby 2

Step-by-step explanation:

do the math and u get ur answer

She spent 1hr 15min washing her car and she spent 1hr 50min cleaning her house, how long did it take

Answers

Answer:

3 hours 5 minutes

Step-by-step explanation:

1 hour + 1 hour = 2hrs

15 minutes + 50 minutes = 65 minutes

65 minutes to 1 hr = 1 hr 5 minutes

2 hours + 1 hr 5 minutes = 3 hours 5 minutes

Answer:

3 hours and 5 minutes

Step-by-step explanation:

1 hour=60 minutes

1 hour +1 hour =2 hours

50 minutes +15 minutes = 1 hour and 5 minutes

1 hour and 5 minutes +2 hours=

3 hours and 5 minutes

3. A system of functions is given. Select
ALL values where f(x) = g(x). Round all
answers to the nearest tenth
f(x) = - x - 2x + 6
g(x) = 2x2 + 5x + 3
a) -2.7
b) -1.8
c) -0.6
d) 0.4
e) 4.1
f) 5.1
g)7.0

Answers

Answer:

Step-by-step explanation:

The easiest way is to graph both functions and see where they intersect.  The intersection is where f(x) = g(x).

f(x) = -x² - 3x + 6

g(x) = 2x² + 5x + 3

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