1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dmitriy789 [7]
3 years ago
5

Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. Together the

y charged a total of $2450 . What was the rate charged per hour by each mechanic if the sum of the two rates was $135 per hour?

Mathematics
1 answer:
posledela3 years ago
5 0
Let's call x1: The rate per hour of the number one mechanic. X2: The rate per hour of mechanic number two. The first thing you should do is identify the system of equations that best describes the problem. In this case it is a system of 2 equations with two unknowns which when solved gives a total of x1 = 85 $ / h and x2 = 50 $ / h. Attached solution.

You might be interested in
Factor completely x^8- 16.
Nataly_w [17]

Answer:

Step-by-step explanation:


So in this example we'll be using the difference of squares which essentially states that: (a-b)(a+b)=a^2-b^2 or another way to think of it would be: a-b=(\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b}). So in this example you'll notice both terms are perfect squares. in fact x^n is a perfect square as long as n is even. This is because if it's even it can be split into two groups evenly for example, in this case we have x^8. so the square root is x^4 because you can split this up into (x * x * x * x) * (x * x * x * x) = x^8. Two groups with equal value multiplying to get x^8, that's what the square root is. So using these we can rewrite the equation as:

x^8-16 = (x^4-4)(x^4+4)

Now in this case you'll notice the degree is still even (it's 4) and the 4 is also a perfect square, and it's a difference of squares in one of the factors, so it can further be rewritten:

x^4-4 = (x^2-2)(x^2+2)

So completely factored form is: (x^2-2)(x^2+4)(x^4+4)

I'm assuming that's considered completely factored but you can technically factor it further. While the identity difference of squares technically only applies to difference of squares, it can also be used on the sum of squares, but you need to use imaginary numbers. Because x^2+4 = x^2-(-4). and in this case a=x^2 and b=-4. So rewriting it as the difference of squares becomes: x^4+4 = x^4 - (-4) = (x^2-\sqrt{-4})(x^2+\sqrt{-4}) = (x^2-2i)(x^2+2i) just something that might be useful in some cases.

7 0
2 years ago
Read 2 more answers
You have a 20% off coupon to use at the store. Your total was $80 before the discount. H
12345 [234]

Answer:

C) $64

Step-by-step explanation:

(80 x 20)/100 = $16.00

Final Price:

80 - 16.00 = $64.00

4 0
3 years ago
The circumference of the inner circle is 88 ft. The distance between the inner circle and the outer circle is 3 ft. By how many
Bogdan [553]

Answer:

18.86 feet

Step-by-step explanation:

The circumference of the inner circle is 88 ft.

Circumference of a Circle=2\pi r

Therefore:

2\pi r =88\\r=88 \div (2*\frac{22}{7})=14 ft

Radius of the inner circle=14 feet

If the distance between the inner circle and the outer circle is 3 ft, the radius of the outer circle=14+3 =17 feet.

Therefore. circumference of the outer Circle=2\pi r

=2*\frac{22}{7}*17=106.86 ft

Difference in Circumference=106.86-88 =18.86 feet

The circumference of the outer circle is greater than that of the inner circle by 18.86 feet.

8 0
3 years ago
Calculate the area, in terms of x and in simplest form, of the rectangle shown below.
Oduvanchick [21]
I know the answer but let me just make sure that it is correct
3 0
3 years ago
Read 2 more answers
A pallet of toggle bolts weighs 516 kilogram. If a warehouse has 82 pallets what is their total weight
frutty [35]

Answer:

no se

perdon

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
Other questions:
  • 20 POINTS AND BRAINLIEST!!! Three dentists wanted to compare the ages of their patients. They each calculated their patients’ me
    15·1 answer
  • On a soccer team, 8 out of 19 players surveyed say they had two or more siblings. The league has 570 players. Which is the best
    10·1 answer
  • Jordan has 4/5 DVDs as Joseph. If Jordan has 56 DVDs, then how many does Joseph have?
    11·2 answers
  • What is the length<br> of HJ expressed in terms of pie?
    15·1 answer
  • shanika makes 2800 milliliters of chicken soup she needs 3.5 liters. how many more milliliterd and liters will she need
    10·1 answer
  • PLEASE ANSWER WITH THE RIGHT ANSWER THANKS
    5·1 answer
  • Each sheet of metal is 0.1 inches thick. If Zoe stacks 3 sheets on top of each other, how thick will the stack be?
    7·1 answer
  • Your firm has a price of ​$5​, an average total cost of ​$7​, and an average variable cost of ​$4. In the short​ run, you should
    12·1 answer
  • Mrs. Evans drove 24 miles on 3 gallons of gas. What is her unit rate in miles per gallon??
    5·1 answer
  • 5750 divided by 3.78
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!