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

The musical theme was first introduced by the

Answers

Answer:

entire orchestra I'm gonna say

What is the value of x?
-7.5 (x-3)=3.75

Answers

Answer:

x= 2.5

Step-by-step explanation:

-7.5 (x-3) = 3.75

(divide both sides of the equation by -7.5)

x-3 = -0.5

(move the constant to the righthand side and change the sign)

x = -0.5+3

(calculate the sum)

x = 2.5

-25 = 1/2 (10x - 2) + 3x what is x?

Answers

Answer:

x=[tex]-\frac{1+2i\sqrt{31} }{5}[/tex]

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

−25=  [tex]\frac{1}{2}[/tex]  (10x−2)+3x

−25=([tex]\frac{1}{2}[/tex])(10x)+( [tex]\frac{1}{2}[/tex] )(−2)+3x(Distribute)

−25=5x+−1+3x

−25=(5x+3x)+(−1)(Combine Like Terms)

−25=8x+−1

−25=8x−1

Step 2: Flip the equation.

8x−1=−25

Step 3: Add 1 to both sides.

8x−1+1=−25+1

8x=−24

Step 4: Divide both sides by 8.

8x  ÷ 8   =   −24  ÷ 8

Need help ASAP. Thanks!

Answers

Answer: 114

Step-by-step explanation:

To find the perimeter, you will find the distance around the shape by adding the numbers.

The is one missing side  and to find that side you will subtract  10 from 38.

38 - 10 = 28

Now add the them.

28 + 5 +  10 + 26 + 10 + 35 = 114

Find the measure of angle C of △ABC, if m∠A = α, m∠B = 2α its not 10-3a(will mark brainliest!)

Answers

Answer:

[tex]C = 180 - 3a[/tex]

Step-by-step explanation:

Given

[tex]A = a[/tex]

[tex]B = 2a[/tex]

Required

[tex]Find\ C[/tex]

Since, ABC is a triangle, we have:

[tex]A + B + C = 180[/tex]

Substitute values for A and C

[tex]a + 2a + C = 180[/tex]

[tex]3a + C = 180[/tex]

Subtract 3a from both sides

[tex]C = 180 - 3a[/tex]

Answer:

180°-3α

Step-by-step explanation:

If you forgot to put the degree sign on 180, that's why you got it wrong!

2 x 10-6
times what number is equal to 6 x 10-4

Answers

Answer:

times -6

Explanation... 2 x 10-6 x -6=56

                      6 x 10-4=56      

                             

Hope this helps

find the initial value seventeen years from now, Ms. speedis car, which is depreciating at 20% per year, will be worth $500

Answers

Answer:

Around 22200 dollars

Step-by-step explanation:

Firstly, it was depreciating 20% per year for 17 years. So, if we were to go back in time, it would be appreciating by 25%. Therefore, after doing the plugging in, it is 500 * 1.25^17. The initial value is around 22200. It is around 22204, to be exact.

Please help me to prove this!!!

Answers

Answer:  see proof below

Step-by-step explanation:

Given: A + B + C = π                    →    A + B = π - C

                                                    →    A + C = π - B

Use the Cofunction Identities:   sin (π - A) = sin A

                                                    sin (A - π/2) = cos A

                                                    cos (π/2 - A) = - sin A

Use the Power Reducing Identity:  sin ² A - sin² B = sin (A + B) · sin (A - B)

Use the Sum to Product Identity:

                                               sin A - sin B = 2 [cos (A + B)/2] · [sin (A - B)/2]

Proof LHS → RHS:

LHS:                                   sin² A - sin² B - sin² C

                                       = (sin² A - sin² B) - sin² C

Power Reducing:           sin (A + B) · sin (A - B) - sin² C

Given:                             sin (π - C) · sin (A - B) - sin² C

Cofunction:                    sin C · sin (A - B) - sin² C

Factor:                            sin C [sin (A - B) - sin C]

[tex]\text{Sum to Product:}\qquad \sin C\bigg[2\cos \bigg(\dfrac{(A-B)+C}{2}\bigg)\cdot \sin \bigg(\dfrac{(A-B)-C}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{(A+C)-B}{2}\bigg)\cdot \sin \bigg(\dfrac{A-(B+C)}{2}\bigg)\bigg][/tex]

[tex]\text{Given:}\qquad \qquad 2\sin C\bigg[\cos \bigg(\dfrac{(\pi - B)-B}{2}\bigg)\cdot \sin \bigg(\dfrac{A-(\pi - A)}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{\pi -2B}{2}\bigg)\cdot \sin \bigg(\dfrac{2A-\pi}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{\pi}{2} -B}\bigg)\cdot \sin \bigg(A-\dfrac{\pi}{2}\bigg)\bigg][/tex]

Cofunction:             2 sin C (-sin B) · (cos A)

                           = -2 sin C · sin B · cos A

                           = -2 cos A · sin B · sin C

LHS = RHS:   -2 cos A · sin B · sin C = -2 cos A · sin B · sin C  [tex]\checkmark[/tex]

Could someone help me out, I’m not sure how to do these :,)

Answers

Answer:

1.) Reflection over y=1

2.) Translation rule: (x-5, y-3)

3.) Reflection over the y axis

4.)Translation rule: (x-4, y+1)

Step-by-step explanation:

(-2)(7)(-75)(3)(-2)=?

Answers

equals -6300 fjesshehw

Answer:

-6300

Step-by-step explanation:

I just plugged it into my calculator, Google's works just fine :)

is the inequality always, sometimes, or never true?
2(x + 6) < 30​

Answers

Answer:

x< 9

Step-by-step explanation:

I'm not sure if it's right but I think it is .

Whoever has the best answer I will mark the brainliest.

Answers

Answer: 3,4,5,6,52,72,86,105

Step-by-step explanation: when solving the range you find the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

math 1 work it out please w-2+2w=6 + 5w

Answers

Answer:

w = -4

Step-by-step explanation:

w - 2 + 2w = 6 + 5w

Add 2 to both sides.

w + 2w = 8 + 5w

Subtract w from each side.

2w = 8 + 4w

Subtract 4w from each side.

-2w = 8

Divide.

w = -4

It is given that 1/5<n<1/4. Write down a decimal value of n that satisfies this in equality.

Pls help me!!! Will give brainliest.​

Answers

Answer:

0.20<n<0.25

Step-by-step explanation:

0.20<n<0.25

Solve for
16 – 2t = t +9

Answers

16 - 2t = t + 9
t = 7/3

4(5x – 9) = -2(x + 7) solve and justify each step

Answers

Step-by-step explanation:

4(5x-9)=-2(x+7)

4*5x-4*9=-2*x-2*7

20x-36=-2x-14

20x+2x=-14+36

22x=22

x=22/22

x=1

Points A, B, and C are collinear. Point B is the midpoint of AC. AB=12x-398. BC=22.
Solve for x. *

Answers

Answer:

         x = 35

Step-by-step explanation:

Collinear points A, B, and C and point B being midpoint of AC means:

AB = BC

12x - 398  =  22

   + 398      + 398

 12x = 420

  ÷12    ÷12  

    x = 35

The coordinates of point T are (0,4). The midpoint of ST is (1,-5). Find the coordinates of point S.
The other endpoint is
(Type an ordered pair.)

Answers

The answer is (2,-15)

Is 3x + 3x​ 2​= 6x​ 3​ ? Explain.

Answers

Answer:

No

Step-by-step explanation:

It is not, because we can only add the terms that contain x of the same order.

For x to be grouped with x 2 resulting in x 3 the terms would have to be multiplying

In this case they are grouped

x * x 2 = x 3

In this case they are not grouped

x + x 2 = x + x 2

Frank needs to fill juice cups for his sis there r 35 cups amd it holds 12 fluid ounces. The juice came in a 1 gallon bottle how many 1 gallon bottles of juice will he need to purchase?

Answers

Answer:

4 gallons

Step-by-step explanation:

He needs 105 over 3 to fill all the cups. 1 gallon would be 10 and 2 third cups or 32 over 3. 2 gallons would be 21 and 1 third cups or 64 over 3. 3 gallons would be 32 or 96 over 3. 4 gallons would be 42 and 2 third cups or 128 over 3. So 4 gallons would fill up all 35 of his sisters 12 ounces cups. That would leave 7 and 2 third cups that hold the same amount. His sister gets all 35 of her 12 ounces each cups filled and he gets 7 and 2 thirds of new and unused 12 ounces cups. Basically out of the 4 gallons there would be 512 ounces and his sister with all 35 cups that hold 12 ounces each she would get 420 ounces. Which would leave him with 92 ounces of juice for himself. Hope this understandable and helpful.

Find the area.
A. 1818 sq cm
B. 1406 sq cm
C. 1246 sq cm
D. 141 sq cm
E. 146 sq cm​

Answers

Answer:

C

Step-by-step explanation:

39*34= 1326 (the area of the full square

8*10=80 (the area of the small square that is cut off)

1326-80= 1246

Answer:

C = 1246 sq. cm.

Step-by-step explanation:

finding the area is simply splitting the area into two (see image)

A1 = 26 x 39 = 1014

A2 = 8 x 29 = 232

total area = 232 + 1014

total area = 1246 sq. cm.

therefore, the answer is C = 1246 sq. cm.

NEED HELP WORTH 100 POINTS SHOW YOUR WORK PLEASE

Answers

Answer:

Q1:

[tex]-5\sqrt{27c^2}[/tex]

[tex]-5\sqrt{27}\sqrt{c^2}[/tex]

[tex]-5\times\sqrt{9} \sqrt{3} \sqrt{c^2}[/tex]

[tex]-5\times3\sqrt{3}\sqrt{c^2}[/tex]

[tex]-5\times3\sqrt{3}c[/tex]

[tex]-15\sqrt{3}c[/tex]

Q2:

[tex]5\sqrt{72}-3\sqrt{32}[/tex]

[tex]5\sqrt{36} \sqrt{2} -3\sqrt{16} \sqrt{2}[/tex]

[tex]5\times6\sqrt{2}-3\times4\sqrt{2}[/tex]

[tex]30\sqrt{2}-12\sqrt{2}[/tex]

[tex]18\sqrt{2}[/tex]

Q3:

[tex]\sqrt{108yz}+3\sqrt{98yz}+2\sqrt{75yz}[/tex]

[tex]\sqrt{36} \sqrt{3} \sqrt{yz} +3\sqrt{49} \sqrt{2} \sqrt{yz} +2\sqrt{25} \sqrt{3} \sqrt{yz}[/tex]

[tex]6\sqrt{3}\sqrt{yz}+21\sqrt{2}\sqrt{yz}+10\sqrt{3}\sqrt{yz}[/tex]

[tex]16\sqrt{3}\sqrt{yz}+21\sqrt{2}\sqrt{yz}[/tex]

Q4:

[tex]\sqrt{15n^2}\sqrt{10n^3}[/tex]

[tex]\sqrt{15}n\sqrt{10n^3}[/tex]

[tex]\sqrt{15}n\sqrt{10}\sqrt{n^2}\sqrt{n}[/tex]

[tex]\sqrt{15}\sqrt{10}n^2\sqrt{n}[/tex]

[tex]\sqrt{5}\sqrt{3}\sqrt{5}\sqrt{2}n^2\sqrt{n}[/tex]

[tex]5\sqrt{3}\sqrt{2}n^2\sqrt{n}[/tex]

[tex]5\sqrt{6}n^2\sqrt{n}[/tex]

Q5:

[tex]\frac{\sqrt{3x^2y^3}}{4\sqrt{5xy^3}}[/tex]

[tex]\frac{\sqrt{3}xy\sqrt{y}}{4\sqrt{5}y\sqrt{x}\sqrt{y}}[/tex]

Cancel off [tex]\sqrt{x}[/tex]:

[tex]\frac{\sqrt{3}y\sqrt{x}\sqrt{y}}{4\sqrt{5}y\sqrt{y}}[/tex]

Cancel off [tex]y:[/tex]

[tex]\frac{\sqrt{3}\sqrt{x}\sqrt{y}}{4\sqrt{5}\sqrt{y}}[/tex]

Cancel off [tex]\sqrt{y} :[/tex]

[tex]\frac{\sqrt{3}\sqrt{x}}{4\sqrt{5}}[/tex]

Multiply [tex]\sqrt{5}[/tex] on the numerator and denominator:

[tex]\frac{\sqrt{3}\sqrt{x}\sqrt{5}}{4\sqrt{5}\sqrt{5}}[/tex]

[tex]\frac{\sqrt{15}\sqrt{x}}{20}[/tex]

sorry i pushed add answer

10. APPLICATION Inspector 47 at the Zap battery plant
keeps a record of which AA batteries she finds defective.
Although the battery numbers at right do not make an
exact sequence, she thinks they are close to an arithmetic
sequence
a. Write a recursive formula for an arithmetic sequence
that estimates which batteries are defective. Explain
your reasoning
b. Predict the numbers of the next five defective batteries.
c. How many batteries in 100,000 will be defective?
Defective
Batteries
255, 500, 773
998, 1227, 1510,
1721, 2010

Answers

2010 47 +ten thousand split decide and

HELP ME PLESE ,3 I NEED THIS

Answers

Answer:

270°

Step-by-step explanation:

[tex]m\widehat{BC} = 360\degree - (146\degree + 90\degree) \\

m\widehat{BC} = 360\degree -236\degree \\

m\widehat{BC} = 124\degree \\\\

m\widehat{ABC} =m\widehat {AB} + m\widehat {BC} \\

m\widehat{ABC} =146\degree + 124\degree \\

\huge \red {\boxed {m\widehat{ABC} =270\degree}} \\

[/tex]

10 - 3x < 16
Can y’all help me pls

Answers

Answer:

x>-2

Step-by-step explanation:

first you subtract 10 from both sides to find x

10-3x-10<16-10

-3x<6

now here you divide both sides by -3

-3x/-3<6/-3

BUT since you are dividing by a negative number the sign will have to flip

so the answer will be

x>-2

4x+2y=8 what is the y intercept

Answers

the y intercept is 4

explanation-
4x+2y=8 (you want to get y by itself, so subtract 4x)

2y=-4x+8 (now divide by 2)

y=-2x+4 so four is the y intercept

Oceanside Bike Rental Shop charges 12 dollars plus 7 dollars an hour for renting a bike. Sandy paid 40
dollars to rent a bike. How many hours did she pay to have the bike checked out?

Answers

x = # of hours the bike was rented.

$40 = $12 + $7x

Subtract $12 from both sides.

$28 = $7x

Divide both sides by $7

4 = x

Sandy rented the bike for 4 hours.

3/4 + (-2 1/2) on a number line.. select the location on the number line to plot the sum.. HURRYYYYY

Answers

Answer:

the answer is -1 3/4

Step-by-step explanation:

Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tacoma's population be in 2010?

Answers

70000000 would be the answe

Evaluate 12 - 6+ (14 – 8)^2=
. (1 point)

Answers

Answer:

the answer is 42

Step-by-step explanation:

12-6+(14-8)^2

12-6(6)^2

12-6+36

=42

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