Mathematics High School

The volume of a rectangular prism, with length l, width w, and height h, is given by the formula l×w×h. Suppose that you know that the height of a rectangular prism is 10 cm and that the volume is 100cm3. What are the possibilities for the other dimensions, l and W, of the prism? Give your answers as pairs of positive integers. I don't really understand what this question's trying to ask me. And I don't know the steps on how to calculate it.

Answers

Answer 1

Answer:

(100,1) (50,2) (25,4) (20,5) (10,10)

Step-by-step explanation:

Given

[tex]V = l * w * h[/tex]

[tex]h = 10cm[/tex]

[tex]V = 1000cm^3[/tex]

Required

Determine the possible values of l and w

We start by substituting 1000 for V and 10 for h in t he given formula

[tex]V = l * w * h[/tex]

[tex]1000 = l * w * 10[/tex]

Divide both sides by 10

[tex]100 = l * w[/tex]

Reorder

[tex]l * w = 100[/tex]

This implies that when the value of l and w are multiplied together, the result is always 100.

Possible values of (l,w) are: (100,1) (50,2) (25,4) (20,5) (10,10) and many more

Related Questions

What us the solution to the following equation? 3(7 + 2x) + 3 = 3(5 + x) - 9(x + 1) A. 3/2 B. 2/3 C. -2/3 D. -3/2

Answers

Answer:

D -3/2

Step-by-step explanation:

Answer:

-3/2

Step-by-step explanation:

3(7+2x)+3=3(5+X)-9(X+1)

open the bracket

21+6x+3=15+3x-9x-9

collect like terms

21+3+9-15=-6x+3x-9x

re-arrange

6x-3x+9x=+15-9-21

12x=-18

X=-18/12

break down Into smallest units

X=-18/12=-9/6=-6/2

X=-3/2

hope the working is right and the answer too!

Dr yang buys a violin for £13200 plus vat at 20% dr yang pays a deposit for the violin he then pays the rest of the cost in 12 equal payments of £360 each month find the ratio of the deposit dr yang pays to the total of the 12 equal payments give your answer in its simplest form

Answers

Answer:

8/3

Step-by-step explanation:

Given that:

Cost of violin = 13200 plus VAT at 20%

Cost of violin = (100 + 20)% * 13200

Cost of violin = 1.20 * 13200 = £15,840

Instalment pay = (360 * 12) = 4320

Therefore, deposit made equals ;

Total cost - Instalment pay

£(15,840 - 4320) = £11,520

Hence, ratio of deposit made to the total Instalment payment made ;

£11520 / £4320 = 8 / 3

The area of a rectangle is 20x^6y^4. The length of the rectangle is x^2y^3. What is the width of the rectangle?

Answers

Answer:

[tex]Width\ of\ the\ rectangle\ is\ 20x^4y[/tex]

Step-by-step explanation:

[tex]We\ know\ that,\\Area\ of\ a\ rectangle=Length*Width\\Here,\\Let\ the\ width\ of\ the\ rectangle\ be\ b\\20x^6y^4=x^2y^3b\\b=\frac{20x^6y^4}{x^2y^3} \\b=20x^{(6-2)}y^{(4-3)}\\b=20x^4y[/tex]

find the solution to following system using substitution or elimination

y = -x + 10

y = 7x + 2

A. (1,9)

B. ( 3/2 , 17/2)

C. (9,65)

D. (1, -1/7)

Answers

Answer:

the answer is (1,9)

Step-by-step explanation:

I NEED HELP ASAP! Please

Answers

Answer:

7 1/2

Step-by-step explanation:

8x = 12

divide both sides by 8 to get x alone

this proves that x = 1.5

because 12/8 = 1.5

then

2y + 10 = 22

subtract 10 from both sides : 2y = 12

then divide both sides by 2 to get y alone

y = 6

then

add x and y together : 6 + 1.5 = 7.7 or 7 1/2

which angles on the unit circle have central angles with measures less than 180 degrees

Answers

a central angle is an angle that can be created from the center of the circle.

30°, 45°, 60°, 90°, 120°, 135°, and 150° are central angles.

HELP HELP! PLEASEEEE

Answers

Answer: All of the ones with a positive and negative. If it’s positive and positive or negative with a negative put in the equation, it’ll always equal a positive. Hope that helps!

Answer:

-6 * 7

-8 * 8

11 * (-2)

Step-by-step explanation:

Hope this helps :D

question of the today for math what is 500+X=234=90

Answers

Answer:

500x = 234 =90

500x = 136

I need help
Write a linear inequality to represent the graph

Answers

Answer:

y < 1/2x -5

Step-by-step explanation:

1/2 is the slope

-5 is the y intercept

Which graph represents the solutions of the inequality p ≥ 10?
A. A number line with an open circle at 10, shaded to the right.
B. A number line with an open circle at 10, shaded to the left.
C. A number line with a filled-in circle at 10, shaded to the right.
D. A number line with a filled-in circle at 10, shaded to the left.

Answers

Answer:

Step-by-step explanation:

Cory is a bird watcher he estimates that 30% of the birds he sees are american robins, 20% are dark eyed juncos and 20% are slnc sparrows. he designs a simulation.

Answers

Answer:

I think C. 0.75

Step-by-step explanation:

The probability of seeing at least one robin in the next 5 birds is 0.75

How to determine the probability?

The representations are given as:

American robins = 0 to 2Dark eye juncos = 3 and 4Song sparrows = 5 and 6Others = 7 to 9

Using the above representations, the numbers that represent an occurrence of seeing at least one robin in the next 5 birds are:

05716 16803 32177 92290 72794 14333 79019 05943 77510 74051 87238 86481 94036 12749 24005

The number of occurrence is:

Number = 15

The number of simulation is 20

So, the probability of seeing at least one robin is:

P = 15/20

Divide

P = 0.75

Hence, the probability of seeing at least one robin is 0.75

Answers

Answer:

-0.08 YW <3

Step-by-step explanation:

Answer:

0.08

Step-by-step explanation:

Use a calculator!

I WILL MARK BRAINLIEST

P= a+b+c over 3
solve for c

Answers

Answer:

3p+b+a=c

Step-by-step explanation:

You want to multiply by 3 to get 3p = a+b+c and then you subtract a+b to get 3p+b+a =c

Answer:

BI**H U H*E FK U U DIRTY U PEE UR PANTS LIKE BOY SHUT UPPPP

Step-by-step explanation:

Please answer and telll me why no pog explanation please

Answers

Answer: D

Step-by-step explanation:

What is the following quotient?

StartFraction StartRoot 96 EndRoot Over StartRoot 8 EndRoot
2 StartRoot 3 EndRoot
4
2 StartRoot 22 EndRoot
12

Answers

9514 1404 393

Answer:

2√3

Step-by-step explanation:

Maybe you want the quotient ...

[tex]\dfrac{\sqrt{96}}{\sqrt{8}}=\sqrt{\dfrac{96}{8}}=\sqrt{12}=\sqrt{4\cdot3}=\boxed{2\sqrt{3}}[/tex]

Answer:

the anwser is 2suareroot3 aka A

Step-by-step explanation:

i just got it right on edge! :)

what number when divided by nine give 12 remainder 11

Answers

The answer 1.090909090909091

Determine if the triangles below are similar or not

Answers

where’s the picture?

Answer:

I dont see them

Step-by-step explanation:

A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?

Answers

Answer:

315 inches

Step-by-step explanation:

180 + 180 * 075 =

180 + 135 = 315

Answer:

The truck is 315 inches long.

Step-by-step explanation:

Can someone tell me if it’s a function and explain:)

Answers

Answer:

Step-by-step explanation:

Huh i

help? I need a answer

Answers

A.12
Hope this is correct. If not sorry. Good luck and have a great day! :)

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A basketball uniform costs $!6 for the shirt and $13 for the shorts. If the coach needs to buy uniforms for 9 players, use the distributive property

(show work)

Answers

Answer:

$171

Step-by-step explanation:

(6+13)x9=

19x9=

171

Answer:

The answer is X=171

Step-by-step explanation:

9(6+13)=X

you use the distributive property

9x6+9x13=X

then you do

9x6 which is 54

54+9x13=X

then you do 9x13 which is 117

54+117=X

then you add it which equals 171

X=171

GO LOOK AT MY LAST QUESTION PLEASE!!
ITS VERY HARD!!!

Answers

wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink

Last sunday 1575 people visited the amusement park 56% was adults 16% were teenagers and 28% are children ages 12 and under find the number of adults teenagers and children that visited the park

Answers

Answer:

984 adults

281 teens

492 children

Step-by-step explanation: Multiply the total by the corresponding percentage to find the number. We assume the percentages have been rounded, so some adjustment is needed in the result of the multiplication.

{adults, teens, children} = 1757 × {.56, .16, .28} = {983.92, 281.12, 491.96}

≈ {984, 281, 492}

Answer:

984

492

281

Step-by-step explanation:

hope that helps

$532 laptop
7% Sales tax
Tax
total

Answers

Answer:

the answer is $460

Step-by-step explanation:

532/7=72

532-72=460

YZ ∥ VX . Find WX. 34 16 8 Y Z W X V WX =

Answers

Answer:

this really doesnt make sense sorrry

Step-by-step explanation:

help me plsssssssssss agian

Answers

Answer:

Step-by-step explanation:

Answer:C

Step-by-step explanation:

The art club had an election to select a president. 40% of the 85 members of the club voted in the election. How many members voted?

Answers

Answer:

Step-by-step explanation:

what reasons can be used to justify statement 4 in the proof above?

Answers

Answer:

its b

Step-by-step explanation:

i took da test

find the slope of the line y=-1/4x+9

Answers

Answer:

slope = - [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The equation of a line in slope0 intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{4}[/tex] x + 9 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{4}[/tex]

How many solutions does
-3n = -10 – 2n have

Answers

Answer:

1 solution

Step-by-step explanation:

Given

- 3n = - 10 - 2n ( add 2n to both sides )

- n = - 10 ( multiply both sides by - 1 )

n = 10

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