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Dimas [21]
3 years ago
14

Mary logged into work at 8:10 am and logged out at 3:45 pm. How many hours did she work? (Her employer rounds to the nearest qua

rter hour.)
Mathematics
2 answers:
Leno4ka [110]3 years ago
5 0

Answer:

Mary worked 7 and a half hours.

Step-by-step explanation:

The easiest way to solve this is converting to the 24 hours metric.

In this metric, 8:10 am is 8h, 10 min.

3:45 pm is 12+3 = 15h, 45 min.

Rounded to the nearest quarter hour, Mary worked 15-8 = 7h, 45-10 = 35 min, Mary worked 7 and a half hours.

IRINA_888 [86]3 years ago
3 0
First we count how many hours is inbetween 8 and 3  which is 7

then subtract 10 for the first time

6:50 then add 45 for the second time

7:35

round down so she worked 7 1/2 hours
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Directions: State whether or not (3, -2) is a solution to the following systems.
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(3, -2) is a solution to the system of equations x - 2y = 7 and 2x + 3y = 0, (3, -2) is not a solution to the system of equations  -x - y = -5 and 3x - 4y = 17 and (3, -2) is not a solution to the system of equations x + y = 1 and x - y = 6

<h3>How to determine the whether or not (3, -2) is a solution to the following systems?</h3>

The systems of equations are given as:

1. x - 2y = 7 and 2x + 3y = 0

2. -x - y = -5 and 3x - 4y = 17

3. x + y = 1 and x - y = 6

Next, we substitute (3, -2) for (x, y) in the system of equations.

So, we have:

<u>1. x - 2y = 7 and 2x + 3y = 0</u>

3 - 2 * -2 = 7 and 2 * 3 + 3 * -2 = 0

Evaluate

7 = 7 and 0 = 0

The above equation is true

Hence, (3, -2) is a solution to the system of equations x - 2y = 7 and 2x + 3y = 0

<u>2.- x - y = -5 and 3x - 4y = 17</u>

-3 + 2 = -5 and 3 * 3 + 4 * 2 = 17

Evaluate

- 1 = - 5 and 1 7 = 1 7

The above equation is false

Hence, (3, -2) is not a solution to the system of equations  -x - y = -5 and 3x - 4y = 17

<u>3. x + y = 1 and x - y = 6</u>

3 - 2 = 1 and 3 + 2 = 6

Evaluate

1 = 1 and 5 = 6

The above equation is false

Hence, (3, -2) is not a solution to the system of equations x + y = 1 and x - y = 6

Read more about system of equations at:

brainly.com/question/13729904

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