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3 years ago

Write a system of equations to describe the situation below, solve using elimination.

Mathematics

1 answer:

Sedbober [7]3 years ago

8 0

Answer:

The cost of hardbook is $9 and cost of paperback is $5.

Step-by-step explanation:

Let x be the price for hardback book and y be the price for paperback book.

Mr. Yamamoto purchased 42 new hardcover books and 64 new paperback books, which cost a total of $698.

We can write the equation as:

$42x + 64y = 698$

He also purchased 42 new hardcover books and 58 new paperback books, which cost a total of $668.

We can write the equation as:

$42x + 58y = 668$

We have to use the elimination method to solve the two equations.

We eliminate x by subtracting the two equations.

$42x + 64y-(42x + 58y) = 698 - 668\\\Rightarrow 6y = 30\\\Rightarrow y = 5\\42x + 64(5) = 698\\\\\Rightarrow x = \displaystyle\frac{698 - 64(5)}{42}\\\\\Rightarrow x = 9$

Thus, the cost of hardbook is $9 and cost of paperback is $5.

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Find two consecutive whole numbers that 7 lies between.

Wittaler [7]

The answer is actually 3 and 4.

$\sqrt{7}$ lies between the two consecutive numbers 3 and 4.

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3 years ago

Recycled CDs, Incorporated, offers a choice of 5 used CDs for $27, with each additional CD costing $5. Write a cost function

notka56 [123]

A function assigns the values. The cost of 6 CDs will be $32.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given that the Recycled CDs. Incorporated, offers a choice of 5 used CDs for $27, with each additional CD costing $5. Therefore, a cost function for purchasing 5 or more CDs, where x represents the number of CDs over 5 can be written as,

C(x) = $27 + $5(x)

Now, if 6 CDs are purchased then the number of CDs that are more than 5 is 1. therefore, the cost of 6 CDs will be,

C(1) = $27 + $5(1)

= $27 + $5

= $32

Hence, the cost of 6 CDs will be $32.

Learn more about Function here:

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2 years ago

Hola busco nva si quieres

LenKa [72]

Answer:

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3 years ago

Read 2 more answers

The rubber playground mulch is sold in packages that cover 300 square feet each. what expression represents the number of packag

tino4ka555 [31]

The expression represents the number of packages of mulch that will be needed to cover both rounded ends is 600/x

<h3>How to determine the expression represents the number of packages of mulch that will be needed to cover both rounded ends?</h3>

The given parameters are:

Area covered = 300 square feet

Number of ends = 2

So, the total surface area is:

Total surface area = Area covered * Number of ends

This gives

Total surface area = 300 * 2

Total surface area = 600 square feet

Let the area covered by each package of mulch be x.

So, the number of mulch is

Number = Area covered/area covered by each

This gives

Number = 600/x

Hence, the expression represents the number of packages of mulch that will be needed to cover both rounded ends is 600/x