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2 years ago

Ian earns x dollars a month. He received a 10% raise in his paycheck. Which expression represents Ian’s new monthly paycheck?

Mathematics

1 answer:

Citrus2011 [14]2 years ago

8 0

Paycheck is 10%

The expression is

$\\ \rm\Rrightarrow x+(1+0.10)x$

$\\ \rm\Rrightarrow x+1.10x$

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What are the next three terms 4, 7/4,-1/2,-11/4...

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Answer:

{-29/4, -19/2, -47/4}

Step-by-step explanation:

Note that this is a decreasing arith. seq. Each term is smaller than the previous term, the result of the subtraction of 2 1/4 (equivalent to 9/4).

The fourth term is -11/4; subtracting 9/4 results in -20/4, or -5.

The fifth term is -20/4; subtracting 9/4 results in -29/4.

The 6th term is -29/4; subtracting 9/4 results in -38/4, or -19/2.

The 7th term is -38/4; subtracting 9/4 results in -47/4.

Thus, the "next three terms" following the first four terms are {-29/4, -19/2, -47/4}

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the volume V of a gas at a constant temperature varies inversely with the pressure P. when the volume is 100 cubic inches the pr

fiasKO [112]

Answer:

The pressure is $20\ psi$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $y*x=k$ or $y=k/x$

In this problem we have

$V*P=k$

where

V is the volume of a gas at a constant temperature

P is the pressure

we have

For $V=100\ in^{3}$ , $P=25\ psi$

step 1

Find the value of k

substitute the values of V and P

$100*25=k$

$k=2,500$

The equation is equal to $V*P=2,500$

step 2

Find the pressure when the volume is 125 cubic inches

For $V=125\ in^{3}$

substitute in the equation and solve for P

$125*P=2,500$

$P=2,500/125=20\ psi$

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