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AleksandrR [38]
3 years ago
8

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 $1575. what was the rate charged per hour by each mechanic if the sum of the two rates was $155 per hour?
Mathematics
1 answer:
Bas_tet [7]3 years ago
3 0

Two mechanics worked on a car.

Now, mechanic 1 has spent 5 hours working on the car.

Mechanic 2 has spent 15 hours working on the car.

Lets say mechanic 1 charged 'x' dollars per hour and mechanic 2 charged 'y' dollars per hour.

So,

5x+15y=1575 that is our first equation ( 1 ):

And,

x+y=155 that is our second equation ( 2 ):

Using the two equations we can solve for 'x' and 'y', using our first equation we get:

x+3y=315

x+y=155

On solving for 'x' and 'y' we get:

y=80

and putting the value of 'y' in the equation 2 we get:

x=155-80=75

As mentioned earlier, 'x' represents the charge that mechanic 1 charged per hour and 'y' represents the charge that mechanic 2 charged per hour.

We have x=75 and y=80.

So, the mechanic 1 charged $75 per hour and mechanic 2 charged $80 per hour.

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The area of a circle, in terms of π, is 196π m2.<br> Find the value of the radius.
AleksandrR [38]

Step-by-step explanation:

if area of circle = pi times radius^2,

area of circle divided by pi = radius^2

so, square root (area of circle divided by 2) = radius.

so, 196pi = m2

approx 616

616=m2

sqrt 616 =m

approx value of radius is 25 or 24.8

pls mark this as brainliestttt

5 0
2 years ago
(05.06)A chocolate bar measures 50 mm wide, 90 mm long, and 3 and 1 over 2 mm high. Will’s Wrapping Company is making a wrapper
grandymaker [24]
The surface area of a rectangular prism is always:

A=2(xy+xz+yz), where x, y, and z are the three dimensions of the prism.

A=2(50*90+50*3.5+90*3.5)

A=2(4500+175+315)

A=2(4990)

A=9980 mm^2
5 0
3 years ago
Correct answer gets brainliest or who ever answered first
timurjin [86]

Answer:

B

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Plz help ASAP! 10 points
loris [4]
There’s this app called Socratic that you can use. It’s like this one but it’s a little different
4 0
2 years ago
Please help with both questions, thank you!
algol [13]

11) 3 (2x + 7) - 4 = 53 - 3x is the given

Then, we use distributive property and get:

6x + 21 - 4 = 53 - 3x

Next, we combine like terms

6x + 17 = 53 - 3x

Then, we use the addition property of equality to add 3x to both sides.

9x + 17 = 53

We then use the subtraction property of equality to subtract 17 from both sides.

9x = 36

Finally, we use the division property of equality to divide 36 by 9, which isolates x.

x = 4

So, (In order) you have the: Given, Distributive Property, Combine Like Terms, Addition Property of Equality, Subtraction Property of Equality, and Division Property of Equality.

12) Please Note: This is an inequality problem. Which means we do not use the properties of equality. We'd use the properties of order. Properties of order are specific to inequalities, as the properties of equality are specific to the equations. They do not cross. As for your paper, I'm not sure why it says to use the properties of equality. I will be using the properties of order.

-7 (3 + 8x) + 5x ≤ 1 - 62x is the given

-21 - 56x + 5x ≤ 1 - 62x is distributive property

We then combine like terms

-21 - 51x ≤ 1 - 62x

Next, we use subtraction property of order to subtract 1 from each side.

-22 - 51x ≤ -62x

Then, we add 51x to each siding using the addition property of order

-22 ≤ -11

Lastly, we use the division property of order to divide 11 from both sides, which then gives us:

2 ≥ x

It becomes a positive because we're dividing 2 negatives, and we also turn the sign because we're dividing by negatives.

In order: Given, Distributive Property, Combine Like Terms, Subtraction Property of Order, Addition Property of Order, and Division Property of Order.

 

5 0
3 years ago
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