All categories

4 years ago

Which box will hold more? Explain.

Mathematics

1 answer:

alexandr402 [8]4 years ago

7 0

Answer:

Box X

Step-by-step explanation:

In order to find which box holds the most material, you have to find the volume of each box.

The formula for volume of a prism (or box) is [area of the base] * height. So, you can solve the problem as follows:

Step 1) Find the area of the base for box X (7 * 3). You can use any side as your base, as long as the opposite side of the shape is congruent (which in this case, it is)

Step 2) Multiply the area of your base (21) times the distance between the opposite congruent side (6). (21 * 6) = 126

Step 3) By repeating this process with box Y, you will find that the volume of box Y (10*11) = 110, which is less than the volume of box X.

Since the volume of box X is greater than that of box Y, box X can hold more material.

You might be interested in

Last question trigonometry question~!!

Serga [27]

f(g(x)) You plug in g(x) for x

f(x) = 2x + 3

f(g(x)) = 2(g(x)) + 3

f(g(x)) = 2(4x - 5) + 3

f(g(x)) = 8x - 10 + 3

f(g(x)) = 8x - 7

g(f(x)) You plug in f(x) for x

g(x) = 4x - 5

g(f(x)) = 4(f(x)) - 5

g(f(x)) = 4(2x + 3) - 5

g(f(x)) = 8x + 12 - 5

g(f(x)) = 8x + 7

5 0

3 years ago

Read 2 more answers

What value of n makes the equation 4(0.5n − 3) = n − 0.25(12 − 8n) true?

svlad2 [7]

Answer:

n = -9

Step-by-step explanation:

4(0.5n − 3) = n − <u>0.25(12 − 8n)</u>

2n - 12 = n - <u>3 + 2n</u>

2n - 12 = 3n - 3

2n - 3n = - 3 +12

-1n = 9

n = -9

8 0

2 years ago

svetoff [14.1K]

The following statements are true;

The expression 23h represents the total charge for Elegance Home Painting.

If José hires the painters for 10 hours, then Elegance Home Painting will be cheaper.

If José hires the painters for 20 hours, then Krystal Klean Painting will be cheaper.

Step-by-step explanation:

Given,

Amount charged by Krystal Klean painting to come out = $175.00

Per 30 minutes charges = $7

1 hour charges would be $14.

Let,

h be the number of hours.

Total cost for Krystal Klean = 14h + 175

Amount charged by Elegance per hour = $23

Total cost = 23h

The expression 23h represents the total charge for Elegance Home Painting.

As Jose will choose from both painters, therefore, he will only hire one.

For 10 hours;

h = 10

Krystal Klean;

Total charges = 175 + 14(10)

Total charges = 175 + 140 = $315

Elegance Home;

Total charges = 23(10) = $230

If José hires the painters for 10 hours, then Elegance Home Painting will be cheaper.

For 20 hours;

h = 20

Krytal Klean,

Total charges = 175 + 14(20) = $455

Elegance Home = 23(20) = $460

If José hires the painters for 20 hours, then Krystal Klean Painting will be cheaper.

6 0

3 years ago

12. If you buy a bag of pretzels ($0.75 per bag) and a Pepsi ($1.25) every weekday at work from a vending machine, how much do y

OLEGan [10]

0.75 + 1.25 = $2 everyday

Since there are 5 weekdays:

5 x 2 = $10 a week

Since there are 52 weeks in a year:

10 x 52 = $520 a year!

8 0

3 years ago

The sum of three numbers is 10. Two times the second number minus the first number is equal to 12. The first number minus the se

topjm [15]

Answer:

x = -2, y = 5, z = 7

Step-by-step explanation:

Let these 3 numbers be x, y, and z

x is the first

y is the second

z is the third number.

Then:

x + y + z = 10

2*y - x = 12

x - y + 2z = 7

x = 2y - 12

(2y - 12) + y + z = 10

and

(2y - 12) - y + 2z = 7

3y + z = 22

y + 2z = 19

y = 19 - 2z

3*(19 - 2z) + z = 22

57 - 6z + z = 22

57 - 5z = 22

35 = 5z

z = 7

y = 19 - 2*7 = 19 - 14 = 5

x = 2y - 12 = 2*5 -12 = 10 -12 = -2

4 0

3 years ago