# Abby plans to purchase pencils as prizes for the school fair. The pencils cost \$11.52 per case or can be purchased individually. With her available money, Abby can either buy ten cases of pencils and eight individual pencils or she can buy 1160 individual pencils. In either situation she will not have any money remaining after the purchases. How much money does Abby have?

Answer: (11.52*10)+8x=1160x, so = 115.2=1160x-8x = 115.2=1152x = so, x=115.2/1152=.1= So, that means she has (1160*.1) = \$116.00 Answer=\$116

## Related Questions

According to Okun's law, if the unemployment rate goes from 6% to 2%, what will be the effect on the GDP?

A. It will decrease by 11%.

B. It will increase by 5%.

c. It will decrease by 5%.

D. It will increase by 11%.

Okun's law says that a country's gross domestic product (GDP) must grow at about a 4% rate for one year to achieve a 1% reduction in the rate of unemployment.

Option D is correct.

Since, According to Okun's law a country's gross domestic product (GDP) must grow at about a 4% rate for one year to achieve a 1% reduction in the rate of unemployment.

So, if the unemployment rate goes from 6% to 2%, that is reduce by 4%

Therefore, GDP is increase by 4(4 %) = 16 %

Thus, most appropriate answer is option D, that is GDP will increase by 11% .

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Step-by-step explanation:

Six less than 2 times y is 34

Answer:  The required value of y is 20.

Step-by-step explanation:  We are given to find the value of y such that

"six less than 2 times y is 34".

Six less than 2 times y is written as  (2y - 6).

According to the given information, we have

Thus, the required value of y is 20.

X to the 2nd power + 3=12

x = ±3

Step-by-step explanation:

x^2 +3 = 12

Subtract 3 from each side

x^2 +3-3 = 12-3

x^2 = 9

Take the square root of each side

sqrt(x^2) =±sqrt(9)

x = ±3

In a science lab,julie measured the length of a leaf as 2/3 of an inch.Rachel measured the length of a leaf that was 8 times as long as the leaf julie measured how long was the leaf rachel measured?

Rachel measured the length of a leaf was inch.

Solution:

Let us find how long the leaf Rachel measured.

Julie measured the length of a leaf = inch

Rachel measured the length of a leaf = 8 times of length Julie measured

Using fractional multiplication rule:

inch

Hence, Rachel measured the length of a leaf was inch.