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Agata [3.3K]
3 years ago
11

A metal worker makes a box from a 15inch by 20inch piece of tin by cutting a square with a side length x out of each corner and

folding up the sides
a) write expressions for length width and height of the box
b) write a polynomial for the volume of the box
Mathematics
1 answer:
Nikolay [14]3 years ago
3 0

Answer:

a) Length = (20 - 2x) inches

Width = (15 - 2x) inches

b) Volume = (20 - 2x)(15 - 2x)x cubic inches.

Step-by-step explanation:

A metalworker makes a box from 15 inches by 20 inches piece of tin by cutting a square with a side length x out of each corner and folding up the sides.

a) So, the length of the box will become (20 - 2x) inches.

And, the width of the box will become (15 - 2x) inches.

b) The volume of the box will be = (Length × Width × Height)

= (20 - 2x)(15 - 2x)x cubic inches. (Answer)

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Marco starts with a population of 10 bacteria that doubles every day for a number of days, d. He writes the expression 10(2d) to
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Answer:

Marco- 10 is the starting value of the population. 2 is the growth rate of "double each day" with d as an exponent.

Isabella- 1 is the starting population. 1+0.2=1.2 is the rate at which it grows each day.

Step-by-step explanation:

Marco's equation should be 10(2^{d}) since the bacteria double each day. 10 is the starting value of the population. 2 is the growth rate of "double each day" with d as an exponent. This will double each day because:

Day 1 is 2^{1}=2

Day 2 is 2^{2}=4

Day 3 is 2^{3}=8

Day 4 is 2^{4}=16

You'll notice the value doubles each day.

Isabella has a different equation because her population increases by a percentage. We use the simple interest formula to calculate the bacteria's daily increase or interest.

1(1+0.2)d

1 is the starting population.

1+0.2=1.2 is the rate at which it grows each day.

3 0
3 years ago
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igor_vitrenko [27]

Step-by-step explanation:

4(3x-2) + 6x(2-1)

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21x

8 0
3 years ago
5 (3y — 13) = бу – 2<br> PLEAse help <br> Need those 2
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Answer:

y = 7

Step-by-step explanation:

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Check:

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Answer:

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