Suppose the volume of a rectangular shopping cart basket is 12,090 cubic inches. If the length measures 31 inches and the width measures 19.5 inches, how high is the shopping cart basket?

Answers

Answer 1

Answer:

[tex]\boxed {\tt h=20\ inches}[/tex]

Step-by-step explanation:

The volume of a rectangular prism can be found using the following formula.

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

We know that the volume is 12,090 cubic inches, the length is 31 inches, and the width is 19.5 inches.

[tex]v= 12,090 \ in^3\\l=31 \ in \\ w=19.5 \ in[/tex]

[tex]12,090 \ in^3= 31 \ in * 19.5 \ in * h[/tex]

Multiply 31 inches and 19.5 inches.

[tex]12,090 \ in^3= 604.5 \ in^2 * h[/tex]

We are trying to find h, therefore we must isolate it. h is being multiplied by 604.5 square inches. The inverse of multiplication is division. Divide both sides of the equation by 604.5 in²

[tex]\frac{12,090 \ in^3}{604.5 \ in^2}= \frac{604.5 \ in^2 *h}{604.5 \ in^2}[/tex]

[tex]\frac{12,090 \ in^3}{604.5 \ in^2}=h[/tex]

[tex]20 \ in =h[/tex]

The height of the shopping basket is 20 inches.


Related Questions

Simplify (9-1)^5/(6+2)^3
Help

Answers

Answer:

64

Step-by-step explanation:

(9-1)^5 / (6+2)^3

8^5 / 8^3

32768 / 512

64

Factor 1/2 out of 12x−33/2. 1/2x−33/2=

Answers

Answer:

16.5

Step-by-step explanation:

1. Travis makes $459 for 36 hours of work, and Jack makes $535.50 for 42 hours of work.
a. How much do Travis and Jack each make per hour?

Answers

Answer:

Your answers are 12.75 an Hour for both!

Step-by-step explanation:

Really Simple!

459 Dollars / 36 Hours of Labor

= $12.75/ 1 Hour

535.5 Dollars / 42 Hours of Labor

= $12.75/ 1 Hour

Ina school 3/7 of the student are girls if there are 240 boys, find the number of girls​

Answers

7/7 = x
3/7 = 240

7/7 x 240 = 240
240/ 3/7 = 560
there is 560 kids
560-240(all kids - girls)
there is 320 boys

The number of Girls in a school is 180.

Find the number of girls​.

There are girls in a school = 3/7

Number of boys in a school = 240

Assume that there are x students in a school.

Number of Girls = 3/7 of All Students.

= 3/7 of x

= 3x/7

We know that,

Total Students = Number of Boys + Number of Girls.

240 + 3x/7 = x

240 = x - 3x/7

240 = (7x - 3x) /7   (Taking L.C.M.)

240 × 7 = 4x

x = 60 × 7

x = 420

Total number of Students in a school is 420.

Thus, Number of Girls = 3/7 × x

= 3/7 × 420

= 180

So,  the number of Girls in a school is 180.

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a ball is thrown straight up from a height of 3 ft with a speed of 32 ft/s.

Answers

It was thrown about the length of 26ft

Need help ASAP! 20 points:)))

Answers

Answer:

Addition Property of Equality

If a, b, and c are any real numbers, and a(b + c) = ab + ac, then (b = c) a = ba + ca.

Joanne has a cell phone plan that charges a flat rate of $97 and $0.10 for every text she sends. Her goal is to spend less than $113 on her phone bill each month. Which of the following describes the number of texts she sends? (2 points)
a.) at least 160
b.) no more than 160
c.) fewer than 160
d.) more than 160

Answers

Answer:

c because she wants to spend less than 113 and if she sent 160 that would be 113 so has to be less

Step-by-step explanation:

113>97+.1x

16>.1x

160>x

The result of which expression will best estimate the actual product of (-4/5)(3/5)(-6/7)(5/6)?
A.(-1)(1/4)(-1)(-1)
B.(-1)(1/2)(-1)(1)
C.(-4/2)(3/2)(-2/5)(5/2)
D.(-3 /4)(-3 /4)(-1/5)(1/2)
For the -3 /4 both the 3 is the only negative numbers I put the photo to show you.


Answers

Answer: the answer is B have a nice day :)

Step-by-step explanation: got it right on edge

write 8 as the whole number 11 is the numerator 20 is the denominator write it as a decimal​

Answers

8 11/20 is 8.55 in decimal form

21 kg of apples cost $210. How many kilograms of apples can you get with $270 ?

Answers

Answer:

27 kg

Step-by-step explanation:

Step 1:

21 : 210 = x : 270

Step 2:

210x = 5,670

Answer:

x = 27

Hope This Helps :)

Exercice 1 Quel est le nombre 100 fois plus petit que 7 453 ? ……………………………….. Quel est le nombre 100 fois plus grand que 12,677 ? …………………………… Exercice 2 Sachant que 38 12 = 456, calculer 3800012. 3800012 = ……………………. Exercice 3 Pour chaque opération proposée dans la première colonne, cocher la case correspondant à l'ordre de grandeur du résultat. Opération 1 10 100 1 000 10 000 118 98 43,5 + 873 902 – 5,7 8 980 0,1 87,63 : 8 Exercice 4 La flèche ci-dessus indique un nombre de l'axe gradué. Quel est ce nombre : 0,20 ? 0,37 ? 0,62 ? 0,75 ? Réponse : ………….. Exercice 5 Encadrer chaque nombre proposé par deux nombres entiers consécutifs. < 7 999, 101 < < 98,6 < < 20,69 < Exercice 6 Quelle écriture ne correspond pas au nombre 7,89 ? (Entourer la bonne réponse) 78910 ; 7+810+9100 ; 3,240 + 4,65 ; 7 unités et 89 centièmes

Answers

Can you say that in English

Leah scored a total of 18 points in the basketball game, and she scored p points in the second half of the game. Write an expression to determine the number of points she scored in the first half of the game. Then, find the number of points she scored in the first half of the game if she scored 2 points in the second half of the game.

Answers

Answer: 16 points for the first half game

Step-by-step explanation:

1st half = ?

2nd half= p

Total = 18

The expressions to get the score of the 1st game is 18 -p

If she scored 2points in the second half game that means p=2

To get the 1st half of the game you should do 18-2=16

are these called interior angles ?

Answers

Answer:

yes they are

Step-by-step explanation:

Yes they are interior angles!

Maya needs to drive miles to work. So far, she has driven miles. How many more miles must she drive?

Answers

Answer:7

Step-by-step explanation:

7 beacause she is far away

Answer:

unknown

Step-by-step explanation:

we need more stuff to go off of

Someone help FAST ! It’s talking about integers.

Answers

Answer:

#1. 9

#2. -50

#3. -53

#4. 7

The coordinates of the midpoint of GH are M(8,0) and the coordinates of one endpoint are H(-2,9) The coordinates of the other endpoint are (_,_)?

Answers

Answer:

work is attached and shown

The coordinates of the other endpoint are (18, -9)

The given points;

midpoints M = (8, 0)

one end points, H = (-2, 9)

The coordinate of the other end point is calculated as;

[tex]G_1 = \frac{x + (-2)}{2} = 8\\\\G_2 = \frac{y+ 9}{2} = 0[/tex]

From the above equation, the x coordinate is calculated as;

x - 2 = 16

x = 18

The y coordinate is calculated as;

y + 9 = 0

y = -9

Thus, the coordinates of the other endpoint are (18, -9)

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Please help solve im stuck!

Answers

Answer:

Step-by-step explanation:

The statement that is not true (an exception is easily created) is C

Draw a 1 by 4 rectangle.

Underneath it draw a 2 by 2 rectangle.

They both have the same area (4 units) but they are not congruent. The corresponding lengths are not equal and that is another condition that must be met for there to be congruence. There are many others.

Draw a 2 by 2 square.

draw a triangle with a base of 1 and a height of 8. These two figures have the same area, but they don't even have the same number of sides.

C is simply not true.

I f m ∠ P i s t h r e e l e s s t h a n t w i c e t h e m e a s u r e o f ∠ Q , a n d ∠ P a n d ∠ Q a r e s u p p l e m e n t a r y a n g l e s , f i n d t h e m ∠ P .

Answers

Answer:

The value of angle P is 119 degrees

Step-by-step explanation:

When two angles are supplementary, it means that they add up to be 180 degrees. For example, if we have two angles only on a straight line, then both angles are supplementary angles.

Now, the information we have from the question is that angle P is three less than twice the measure of Q.

What this mean is that if Q is x, then P is 2x-3

So let’s add both to equal 180 since they are supplementary;

x + 2x -3 = 180

3x -3 = 180

3x = 180 + 3

3x = 183

x = 183/3

x = 61

This is the value of Q;

The value of P which we are asked to look for is 2x -3 = 2(61) -3 = 122 -3 = 119 degrees

...............................

What is 3.680 divided by 7.86??

Answers

Answer:

The answer is 0.5 since we are rounding to the tenths place

Answer:

0.47 or 0.468 whichever one is better

Step-by-step explanation:

just divide with a calculator

A person who had $1,000,000 gave $100 to charity. How much must a student who has $100 give to charity to give proportionally the same as the millionaire?

Answers

(100 / 1,000,000) × 100% = 0.01%

x = amount of money the student has to give.

(x / 100) × 100% = 0.01%

We can cancel out the 100's

x = $0.01

The student would have to give $0.01 or 1 cent

−2xy 4 (7x 2 )
someone please help

Answers

Answer:

-112x²y

Step-by-step explanation:

The expression [tex]-2xy 4 (7x^2 )[/tex] can be simplified as [tex]-112x^2y[/tex]

How can the expression be simplified?

A finite collection of symbols that is well-formed in accordance with context-dependent principles is called an expression or a mathematical expression. In mathematics, a statement is considered to be an expression if it contains at least two different integers (known or unknown) and at least one operation.

Given that [tex]-2xy 4 (7x^2 )[/tex]

Then we can see that there are two x, then we can multiply together, then multiply 4 and 7 together as;

[tex]-112x^2y[/tex]

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Which inequalities can be used to find the solution set of the following inequality? Check all that apply. |2x – 5| Greater-than-or-equal-to 8 (2x – 5) Greater-than-or-equal-to 8 (2x – 5) Less-than-or-equal-to 8 (2x + 5) Greater-than-or-equal-to 8 –(2x – 5) Greater-than-or-equal-to 8 –(2x + 5) Greater-than-or-equal-to 8

Answers

Answer:

its 1 and 4

1. (2x – 5) ≥ 8

4. –(2x – 5) ≥ 8

Step-by-step explanation:

i just did the test

Answer: A,D

Step-by-step explanation:

0(-4,1), and Y (-2, 3).

Answers

Answer: If you trying to find the distance [tex]d=\sqrt{16}[/tex] or 4. If you trying to find midpoint its MP= (-3,2)

Step-by-step explanation:Distance formula[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{2})^{2} }[/tex]

[tex]d=\sqrt{(-2-(-4))^{2}+(3-1})^{2} }[/tex] -2-(-4)=2     3-1=2

[tex]d=\sqrt{2^{2}+2^{2} }[/tex] 2 squared is 4

[tex]d=\sqrt{4+4}[/tex]  equals [tex]d=\sqrt{16 }[/tex] or 4 simplyfied

Midpoint formula [tex]MP= (\frac{x_{1}+x_{2} }{2}), (\frac{y_{1}+y_{2} }{2} )[/tex]

[tex]MP= (\frac{-4+-2 }{2}), (\frac{1+3 }{2} )[/tex] -4+-2=-6     1+3=4

[tex]MP= (\frac{-6}{2} ), (\frac{4 }{2} )[/tex] -6/2= -3    4/2= 2

[tex]MP= (-3,2)[/tex]

1. There are 34 panda stickers, 24 elephant stickers, 32 smiley face stickers
and 12 star stickers in the sticker machine. Tara wants to get a star sticker
or a panda sticker

Answers

What is the question you are trying to ask ?

Answer:

she could add them all up

Step-by-step explanation:

Find the midpoint of the line segment joining the points (-1, -2) and (-3, 13).

The midpoint is

(Simplify your answer. Type an ordered pair)

Answers

midpoint =(X1+X2)/2 ,(Y1+Y2)/2

therefore=

( -1+-3)/2, (-2+13)/2

=(-4/2,11/2)

=(-2,5.5)

What is the equation of the line that passes through the point (−6,2) and has a slope of -3/2

Answers

[tex]y = {x}^{2} + 4x - 12[/tex]

Rewrite in simplest radical form! Show your work.

Answers

[tex]x^{\frac{1}{\frac{-3}{6} }}[/tex]

First, let's deal with the fraction in the denominator of the exponent. Multiply the top and bottom of the exponent by 6.

[tex]x^{\frac{6}{-3} }[/tex]

Now that the fraction in the denominator is taken care of, we can reduce the denominator.

[tex]x^{-2}[/tex]. Some professors might accept this as simplest form, but others might ask you to get rid of the negative.

[tex]x^{-2} = \frac{1}{x^{2} }[/tex]

Answer:

*i forgot what a radical is but* your answer is -2

Step-by-step explanation:

there is something called

REDUCE COMPOUND FRACTIONS

basically it's

 [tex]m/f/t[/tex]

so

[tex]1/-3/6\\[/tex]

is gonna be

[tex]1*6/-3[/tex]

which is -2


Player 1 and player 2 are running laps around a field. Player 1 runs 1 lap every 6 minutes, while player 2 runs 1 lap every 10 minutes. If player 1 and player 2 begin their run at the same time and location on the field, in how many minutes will they meet to begin their next lap together?
They will meet to begin the next lap together

Answers

Answer:

30 minutes

Step-by-step explanation:

Think of it as a fractions. Player 1: 6 min./1 lap, Player 2: 10 min./1 lap. So in order to do this you have to find the greatest common factor. The GCF is 30. [learned this 2 yrs ago, im not entirely sure]

Penelope earned $50 in May. She earned $60 in June.
What is the percent increase or decrease in Penelope's monthly earnings

Answers

Answer:

120% increase

Step-by-step explanation:

I REALLY NEED THISSSSS
PLEASE HELP!!!!!!

Answers

11 per hour
17 per hour
3 hours
4hours
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