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Anvisha [2.4K]
4 years ago
13

I need help for a test pla

Mathematics
1 answer:
laiz [17]4 years ago
8 0

Option C:

161

Solution:

Given data:

$\sum_{n=2}^{8}-2+5 n

To solve this expression:

$\sum_{n=2}^{8}-2+5 n

Summation means sum of all the numbers.

Substitute n = 2 in the summation.

-2+5(2) = -2+10=8

Substitute n = 3 in the summation.

-2+5(3) = -2+15=13

Substitute n = 4 in the summation.

-2+5(4) = -2+20=18

Substitute n = 5 in the summation.

-2+5(5) = -2+25=23

Substitute n = 6 in the summation.

-2+5(6) = -2+30=28

Substitute n = 7 in the summation.

-2+5(7) = -2+35=33

Substitute n = 8 in the summation.

-2+5(8) = -2+40=38

Sum of all numbers = 8 + 13 + 18 + 23 + 28 + 33 + 38

                                 = 161

$\sum_{n=2}^{8}-2+5 n=161

Option C is the correct answer.

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Points equal to y = - 1/2x + 5
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The rate charged per hour by each mechanic was:  x = 75 $ / hr and y = 115 $ / hr.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given;

The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours.

Together they charged a total of $3225.

For this case we have the following variables:

x be the amount of $ / hr that the mechanic obtains 1.

y be the amount of $ / hr obtained by mechanic 2.

An equation to express this would be:

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Solving the system of equations we have:

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Hence, the rate charged per hour by each mechanic was:

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