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alukav5142 [94]
3 years ago
10

(PLEASE SHOW UR WORK)

Mathematics
1 answer:
Lostsunrise [7]3 years ago
8 0
First you wanna distribute the 3 to x and 4
So the problem will then be 3x+12= 27
Then you wanna subtract 12 from 27
You get 3x = 15
Now you wanna divide 3x and 15 by 3
You then get X = 5
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Kate is a wage earner. One year she earned $72 000. She works 36 hours/week.
Lemur [1.5K]

Answer:

Kate's possible hourly rate of pay:  $34.75

Hours of overtime: 100

Step-by-step explanation:

In order to find Kate's hourly wage, we can set up an equation based on the number of hours she works per week and the estimated number of overtime hours to equal her total pay for the year.  If Kate works 36 hours/week and there are 52 weeks in a year, her total hours for one year are:  36 x 52 = 1872.  Setting up an equation based on her total earnings of $72,000:

1872x + 100(2x) = 72000, where 'x' is the hourly rate and '2x' is her overtime rate which is double time.

Combine like terms:  1872x + 200x = 72000 or 2072x = 72000

Divide both sides by 2072:  2072x/2072 = 72000/2072

Solve for x:  x = $34.75

Kate's hourly rate is estimated at $34.75.  We can check to see if this is correct by putting this value back into our original equation:

1872(34.75) + 100(2)(34.75) = 65052 + 6950 = 72002

The answer of $72,002 is very close to $72,000 and the best estimate of Kate's hourly wage and overtime hours.

8 0
3 years ago
PLEASE HELP ME ASAP <br><br> Determine the slope of each line:
Sladkaya [172]

Answer:

a=(2/5), b = (-2,6)

Step-by-step explanation:

well slope formula is rise/run. So for the first one you start at the point  rise 2 run 5 and you reach the endpoint. That is how you know you got the correct slope.  (2/5)

For the second one you start at the first point and you cannot go up because it is a negative slope you run 6 till you hit the other point go down 2. Since you go down 2 that would make it -2.  (-2,6)

5 0
3 years ago
Suppose M is the midpoint of line FG.
alukav5142 [94]
A)\\|FM|=5y+13;\ |MG|=5-3y\\\\|FG|=|FM|+|MG|\\\\|FG|=(5y+13)+(5-3y)=2y+18\\\\B)\\|FM|=8a+1;\ |FG|=42\\\\|FG|=2|FM|\\\\2(8a+1)=42\\16a+2=42\ \ \ \ \ |subtract\ 2\  from\ both\ sides\\16=40\ \ \ \ \ |divide\ both\ sides\ by\ 16\\a=\frac{40}{16}\\a=\frac{5}{2}\\a=2.5

6 0
3 years ago
1 foot is equal to 12 inches how many inches are in 3 feet 10 unches
USPshnik [31]

Answer:

46 in

Step-by-step explanation:

3x12=36+10=46

3 0
1 year ago
Read 2 more answers
Jack is trying to make extra money on his summer vacation from school. He works two different jobs, earning $9 per hour washing
Sveta_85 [38]

Answer:

$57

9w+6d

Step-by-step explanation:

Given that:

Earnings per hour for washing cars = $9

Earnings per hour for walking dogs = $6

Number of hours for which car washing is done = w

Number of hours taken for walking dogs = d

Earnings for w hours for washing cars = Per hour earnings multiplied by number of hours = $9w

Earnings for d hours for walking dogs = Per hour earnings multiplied by number of hours = $6d

Total earnings by both = $(9w+6d)

Now, given that

Number of hours spent washing cars = 5 hours

Number of hours spent walking dogs = 2 hours

Therefore, total earnings by both = 9 \times 5 + 6 \times 2 = <em>$57</em>

5 0
3 years ago
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