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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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NEED HELP ASAPPPPPPPPP
Nookie1986 [14]

Answer:

A  = 57°

B = 19°

C = 104°

Step-by-step explanation:

We have a triangle with 3 angles:

A, B, and C.

We know that:

"Angle A is 3 times larger than angle B"

We can write this as:

A = 3*B

"Angle C was 10° less than 6 times angle B"

This can be written as:

C = 6*B - 10°

And we also know that the sum of all interior angles of a triangle is 180°

Then we also have the equation:

A + B + C = 180°

So we have a system of 3 equations:

A = 3*B

C = 6*B - 10°

A + B + C = 180°

To solve this, the first step is to isolate one of the variables in one of the equations.

We can see that A is already isolated in the first one, so we can skip that step.

Now we need to replace A in the other equations, to get:

C = 6*B - 10°

(3*B) + B + C = 180°

Now we have a system of two equations.

Let's do the same procedure, we can see that C is isolated in the top equation, so we can just replace that in the other equation to get:

3*B + B + (6*B - 10°) = 180°

Now we can solve this for angle B

4*B + 6*B - 10° = 180°

10*B - 10° = 180°

10*B = 180° + 10° = 190°

B = 190°/10 = 19°

Now that we know the measure of angle B, we can input this in the equations:

A = 3*B

C = 6*B - 10°

To find the measures of the other two angles:

A = 3*19° = 57°

C = 6*19° - 10° = 104°

5 0
2 years ago
Type the correct answer in each box. Round numbers to the nearest tenth, if necessary.
nexus9112 [7]

ANSWER

x = 1.6

EXPLANATION

The given equation is:

- 0.5x - 2 = 2x - 1 - 6

Group similar terms to obtain:

- 0.5x - 2x =  - 5 - 1 + 2

Simplify similar terms,

- 2.5x =  - 4

Divide both sides by -2.5

x =  \frac{ - 4}{ - 2.5}

x = 1.6

3 0
2 years ago
Read 2 more answers
Triangles MOP and MNQ are similar. Find x.
OLga [1]

Aight so if you add the angel mn and no you get eight so that must mean the opposite side must also equal eight, in that case 8-4 is 4, so Qp is 4

correct me if im wrong

3 0
3 years ago
Read 2 more answers
Angie bought 3 1/2 pounds of apples to make a pie. There are 16 ounces in one pound. How many ounces of apples did she buy?
pantera1 [17]

Answer:

56 ounces

Step-by-step explanation:

8 0
2 years ago
What is the value of 3 to the power 2 over 3 to the power 4? A. 1 over 81 B. 1 over 27 C. 1 over 9 D. 1 over 3
rodikova [14]
One way you could solve this is to just multiply the top and bottom out so that you get 9/81, reducing it by 9/9 to get 1/9 or option C.
Another way would be to do 3^{(2-4)} since dividing numbers with exponents would be subtracting the bottom exponent from the top exponent, provided that the base number (in this case 3) is the same for both. For this method, you would get 3^{-2}, which is equal to 1/9 or .1 repeating, the same answer that you'd get with the first method.
6 0
3 years ago
Read 2 more answers
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