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vitfil [10]
2 years ago
11

Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they

charged a total of $2125. What was the rate charged per hour by each mechanic if the sum of the two rates was $205 per hour?
Mathematics
1 answer:
Lunna [17]2 years ago
5 0

Answer:

The mechanic who worked 5 hours charged $115 per hour, the one who worked 15 hours charged $120 per hour.

Step-by-step explanation:

x = rate of mechanic who worked 5 hours

y = rate of mechanic who worked 15 hours

Then

x + y = 235

5x + 15y = 2375

Just solve these 2 equations above for x and y.

x + y = 235 ⇒ x = 235 - y

Substitute into second equation to find y.

5(235 - y) + 15y = 2375

1175 - 5y + 15y = 2375

10y = 1200

y = 1200/10 = 120

x = 235 - y = 235 - 120 = 115

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8 – (x + 4) = 2<br> determine the value of x in the equation below
Bess [88]

Answer:

8 -1(x+4)=2

8-x-4=2

x= 2+4-8

x=-2

4 0
3 years ago
Read 2 more answers
Find the coordinates of the intersection of the diagonals of the parallelogram with the vertices W(−2, 5), X(2, 5), Y(4, 0),
emmasim [6.3K]

Using the midpoint formula, the coordinates of the intersection of the diagonals of the parallelogram is: (1, 2.5).

<h3>What are Diagonals of a Parallelogram?</h3>

The diagonals of a parallelogram bisect each other, therefore, the coordinates of their intersection can be determined using the midpoint formula, which is: M(\frac{x_2 + x_1}{2}, \frac{y_2 + y_1}{2}).

A diagonal is XZ.

X(2, 5) = (x1, y1)

Z(0, 0) = (x2, y2)

Plug in the values

M(\frac{0 + 2}{2}, \frac{0 + 5}{2})

= (1, 2.5).

Learn more about the diagonals of a parallelogram on:

brainly.com/question/12167853

#SPJ1

7 0
1 year ago
If a diagonal is drawn in a parallelogram, then two congruent triangles are... formed
Vsevolod [243]
Correct.  Two congruent triangles are formed.
The two triangles are congruent because
1. diagonal = common side between two triangles
2. Considering the diagonal as a transversal that cuts the two pairs of parallel lines, we have two sets of internal alternate angles.
BY the rule of ASA, the two triangles are congruent.
3 0
3 years ago
Read 2 more answers
Giving 30 points to whoever helps me.Fasttttt and no wrong answers.
Dahasolnce [82]
The answer is y = -3x + 10.
The rest is not linear since the rest is not in the form of y = mx +b (a type equation for a line).

Have an awesome day! :)
7 0
2 years ago
How long would it take to make 4.5 million dollars with a yearly income of 1000 USD?
Angelina_Jolie [31]

Answer:

4,500 days, years, or months

Your income is $1000, and you are trying to get $4,500,000.

You can do this is by dividing $4,500,000 with $1000.

<u>Division</u>

4500000/1000

Cross out all the numbers of 1000 into 4500000 until you get 1.

Since there are 3 zeros in 1000, you cross 3 out in 4,500,000

So, your answer will be 4,500.

It will take 4,500 days, years, or months (You didn't say the unit)

6 0
3 years ago
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