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

help me plsssssssssss agian

Answers

Answer:

Step-by-step explanation:

Answer:C

Step-by-step explanation:

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!

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:

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:

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]

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

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

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: D

Step-by-step explanation:

what number when divided by nine give 12 remainder 11

Answers

The answer 1.090909090909091

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

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

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

help? I need a answer

Answers

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

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:

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:

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! :)

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:

Determine if the triangles below are similar or not

Answers

where’s the picture?

Answer:

I dont see them

Step-by-step explanation:

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

Answers

Answer:

Step-by-step explanation:

Huh i

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

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 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.

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

Answers

Answer:

500x = 234 =90

500x = 136

$532 laptop
7% Sales tax
Tax
total

Answers

Answer:

the answer is $460

Step-by-step explanation:

532/7=72

532-72=460

what is the quotient of -0.05 ÷ (-5/8)

Answers

Answer:

-0.08 YW <3

Step-by-step explanation:

Answer:

0.08

Step-by-step explanation:

Use a calculator!

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]

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

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

Answers

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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:

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