Chapter 1.1, Problem 37HP

(a)

To determine

To find:the expression for the number of centimeters in 200 inches.

Answer to Problem 37HP

The expression for number of centimeters in 200 inches is $200\left(2.54\right)$

There are 508 cm in 200 inches.

Explanation of Solution

Given:

One package contains 350 centimeters of trim.

The second package contains 200 inches of trim.

Calculation:

Now, 1 inch ≈ 2.54 cm

Then, to find number of cm in 200 inches, multiply 200 by the number of cm in 1 inch.

That is, $200\left(2.54\right)$

  $\begin{array}{l}200\text{ inch = 200}\left(2.54\right)\text{ cm}\\ \text{=508 cm}\end{array}$

Thus the expression for number of centimeters in 200 inches is $200\left(2.54\right)$

And there are 508 cm in 200 inches.

Conclusion:

Thus the expression for number of centimeters in 200 inches is $200\left(2.54\right)$

There are 508 cm in 200 inches.

(b)

To determine

To find: The total number of centimeters of trim in two packages.

Answer to Problem 37HP

Thus, total number of centimeters in the two packages $\text{858cm}$

Explanation of Solution

Given:

One package contains 350 centimeters of trim. The second package contains 200 inches of trim.

Calculation:

Total number of centimeters in the two packages is equal to the sum of number of centimeters in the first package (given in question) and number of centimeters in the second package (obtained in part (a))

Thus, total number of centimeters in the two packages = $\text{350+508=858cm}$

Conclusion:

Therefore, total number of centimeters in the two packages = $\text{350+508=858cm}$

(c)

To determine

To find: the number of packages of trim that have thesame amount of trim from part b

Answer to Problem 37HP

Thus, he needs to buy about 4 packages of 90 inches trim.

Explanation of Solution

Given:

One package contains 350 centimeters of trim. The second package contains 200 inches of trim.

Calculation:

Leah wants to buy 858 cm of trim in total.

If he buyspackages which contains 90 inches of trims each, then find total number of such packages that he needs to buy to have total 858 cm of trim.

Since, 1 inch = 2.54 cm

Then, number of cm in 90 inches is.

90 inch = 90(2.54) cm

≈ 229 cm

That is, 1 package contains nearly 229 cm of trim.

To find the number of packages that he needs to buy to have 858 cm of trim, divide 858 by 229.

Total number of packages he needs to buy is given by

  $\text{858}÷\text{229}\approx \text{3}\text{.75}$

Thus, he needs to buy about 4 packages of 90 inches trim.

Conclusion:

Therefore, he needs to buy about 4 packages of 90 inches trim