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Leni [432]
3 years ago
7

A town's total allocation for firefighter's wages and benefits in a new budget is $600,000. If wages are calculated at $40,000 pe

r firefighter and benefits at $20,000 per firefighter, write an equation whose solution is the number of firefighters the town can employ if they spend their whole budget. Solve the equation. *
Mathematics
1 answer:
tiny-mole [99]3 years ago
4 0
There is 8 firefighters
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You need a 15% acid solution for a certain test, but your supplier only ships 5% solution and 17.5% solution. If you need 20 lit
Nimfa-mama [501]

Answer:

4 liters of 5% and 16 liters of 17.5%

Step-by-step explanation:

Let quantity of 5% be x liters and of 17.5% be y liters

x+y=20 hence y=20-x

Introducing percentages

0.05x+0.175(20-x)=0.15*20

0.05x+3.5-0.175x=3

-0.125x=-0.5

x=\frac {-0.5}{-0.125}=4

Therefore, y=20-x=20-4=16

You need 4 liters of 5% and 16 liters of 17.5% to achieve 20 liters of 15% acid solution

6 0
3 years ago
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What is the system of inequalities associated with the following graph?
slamgirl [31]

One line passes through the points (-2,3) and (0,-3) , it means the y intercept is b=-3

and slope m = \frac{(-3-3)}{0-(-2)}

= \frac{-6}{2}= -3

So the equation of line will be y= -3x -3

And the inequality should be y\geq -3x-3

Or 3x +y \geq -3

And the other line passes through (-2,3) and (0,2)

So the y intercept is b=2

and the slope is m= \frac{2-3}{0-(-2)} = \frac{-1}{2}

So the equation of line will be y= \frac{-1}{2} x +2\\and the inequality should be  y \leq \frac{-1}{2} x+2

Or

2y +x \leq 4

So answer is 3x +y \geq -3,  x+2y\leq 4

6 0
3 years ago
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Jerome recently moved to a new city and bought a home. The assessment rate is 51%. The property tax rate is $53.26 per $1000. Wh
mrs_skeptik [129]
Given:
assessment rate = 51%
tax rate = 53.26 per 1,000

53.26 / 1000 = 0.05326
0.05326 x 100% = 5.326%

Effective tax rate = assessment rate * tax rate
ETR = 51% * 5.326%
ETR = 2.72%



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On average one out of 6 customers purchase fantasy books most frequently
6 0
2 years ago
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
VikaD [51]

Answer:

nothing there

Step-by-step explanation:

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3 years ago
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