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Sedaia [141]
3 years ago
7

Please Find the solution to the following system using substitution or elimination: y = 3x + 7 y = -2x -3

Mathematics
1 answer:
Dmitrij [34]3 years ago
5 0
Answer: A (-2, 1)
see image explanation attached

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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
SOMEONE HELP ME FIND THE Y PLEASE ASAP
Evgesh-ka [11]

Answer:

(Down Below)

Step-by-step explanation:

Plug in the value of x in the left column for all the values in the equation. I will do a couple for you.

Since -4 is the value of x, substitute it into the equation for x.

y= -4-5=-9

-1

y=-1-5=-6

0

y=0-5=-5

You can do the rest. You got this! Comment if you need more help!

3 0
2 years ago
Read 2 more answers
Ashley wants to find out how much money she has in her piggy bank. She has x number of quarters and y number of dimes and says t
patriot [66]
Amount from dimes would be: 0.1y
Amount from quarters = 0.25x

So, total amount = 0.25x + 0.1y

So, she is not correct

Hope this helps!
5 0
3 years ago
The freezing temperature of nitrogen is -210°C, and the freezing temperature of oxygen is -223°C. Which temperature is colder?
olasank [31]

Answer:

-223

Step-by-step explanation:

-210<-223

4 0
2 years ago
Read 2 more answers
I don’t know the answer to that one can you help me please
dybincka [34]

Answer:

16/45

Step-by-step explanation:

Step 1:  When dividing fractions, use “KFC”.  It means Keep the first fraction, Flip the second one, and  

              Change it to multiplication

-4/20 ÷ -9/16    →    -4/20 ∙ 16/-9

Step 2:  Reduce any fractions if necessary, it makes multiplying them easier and you will have to reduce anyway at the end.  It’s easier arithmetic to reduce at this step.  The first fraction reduces because both the numerator and denominator are divisible by 4.  

-1/5  ∙   16/-9    

Step 3:  Multiply numerators and denominators together to get one fraction

(-16)/(-45)  

Step 4:  Cancel out the negatives, a negative divided by a negative is a positive.  Our final answer is

 

16/45  


4 0
3 years ago
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