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umka2103 [35]
2 years ago
12

Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $60 per hour. The mechan

ics worked for a combined total of 20 hours, and together they charged a total of $1125. How long did each mechanic work?
​
Mathematics
1 answer:
Nady [450]2 years ago
8 0

Answer:

15 and 5 hours.

Step-by-step explanation:

Call x the time taken by the first chap, and y the second.

\left \{ {{x+y = 20 \atop {55x+60y=1125}} \right.

Let's divide by 5 and play with the LHS of the first equation a bit:

11x+ 11y +y = 225\\11(x+y)+y= 225 we know how much x+y is ( first equation!) let's solve.

11(20) +y = 225 \rightarrow y=5 At this point it's easy to check that x=15

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What is the area of the circle with a D equals 10
Maslowich

Answer:

A =78.5

Step-by-step explanation:

We need the radius to find the area of a circle

r = d/2 = 10/2 =5

The area of a circle is given by

A = pi r^2

A = 3.14 (5)^2

A =3.14 (25)

A =78.5

7 0
3 years ago
How many feet are in 5 yards ?? Explain how you calculated your answer.
timurjin [86]

Answer:

15 feet

Step-by-step explanation:

1 yard = 3 feet

2 yards = 6 feet

3 yards = 9 feet

4 yards = 12 feet

5 yards = 15 feet

3 0
3 years ago
Read 2 more answers
What is the y-intercept of function f?<br> A. 1<br><br> B. -1<br><br> C. -2<br><br> D. 5
shtirl [24]

Answer:

1

Step-by-step explanation:

The y intercept is when x =0

We need to use the second equation

-x+1  since -2 < 0 <3

0+1

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5 0
3 years ago
The number of employees for a certain company has been decreasing each year by 7​%. If the company currently has 790 employees a
Vikki [24]

Answer:

The number of employees in 8 years  is  442

Step-by-step explanation:

Given:

Decreasing rate = 7%

Current number of employees = 790

To Find:

The number of employees after 8 years is this same rate continues =?

Solution:

Let the number of employees after 8 years be x

The current number of employees is:

790(1-0.07)^0=790---------------------------------(1)

since the decrase rate is 7% we use 0.07

So after 8 years , eq (1) can be rewritten as

790(1-0.07)^8= x

790(0.93)^8= x

790 \times 0.5595= x

x= 442.005

x= 442 (approx)

6 0
2 years ago
What are the solutions to
Svetllana [295]

Answer:

B and F

Step-by-step explanation:

Given

x² + 4x + 4 = 12 ( subtract 4 from both sides )

x² + 4x = 8

Using the method of completing the square to solve for x

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 8 + 4, that is

(x + 2)² = 12 ( take the square root of both sides )

x + 2 = ± \sqrt{12} ( subtract 2 from both sides )

x = ± \sqrt{12} - 2

  = ± 2\sqrt{3} - 2

Hence

x = 2\sqrt{3} - 2 → B

x = - 2\sqrt{3} - 2 → F

4 0
3 years ago
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