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Misha Larkins [42]
4 years ago
9

The amount of a persons paycheck p varies directly with the numbers of hours worked t. for 25 hours of work, the paycheck is $31

2.50write a equation for the relationship between hours of work and pay
Mathematics
1 answer:
kotegsom [21]4 years ago
7 0

Answer:

p = t * 12.5

Step-by-step explanation:

To find the relationship between hours of work and the pay, I divided the total paycheck given by the 25 hours of work, which got me what a 25th of that paycheck would be, which represents what you would earn in an hour with a flat rate.

312.50 / 25 = 12.5

Check:

12.5 * 25 (hours of work) = 312.50 (Given total paycheck)

That's how we know the pay per hour, which is the relationship between t and p.

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8 0
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Harlamova29_29 [7]

Answer:  x = 3, y = 1, z = 2

<u>Step-by-step explanation:</u>

EQ 1:   x  -   y  - z = 0

EQ 3:<u> -x + 2y + z =  1 </u>

                  y       = 1

EQ 2: 2x - 3y + 2z = 7  →  1(2x - 3y + 2z = 7)  →  2x - 3y + 2z = 7

EQ 3:  -x + 2y +  z = 1   → -2( -x + 2y +  z = 1)  → <u>-2x + 4y + 2z = 2</u>

                                                                                      y + 4z = 9

                                                                    y = 1  ⇒     1  + 4z = 9

                                                                                            4z = 8

                                                                                              z = 2

Input y = 1 and z = 2 into one of the equations to solve for x:

EQ 1: x - y - z = 0

        x - (1) - (2) = 0

        x - 3 = 0

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Check:

EQ 2: 2x - 3y + 2z = 7

         2(3) - 3(1) + 2(2) = 7

          6    -  3    +  4    = 7

                3        +  4    = 7

                               7   =  7   \checkmark

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Step-by-step explanation:

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