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3 years ago

12

al's auto shop charges $80 for parts and $20 per hour of labor for repair job. Ednas engine repair charges $95 for parts and $15

per hour of labor for the same job. Write a system of equations to represent the situation.

1 answer:

Alekssandra [29.7K]3 years ago

3 0

Y= 20x + 80
y= 15x + 95

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$\frac{y}{-3.6}$ < 6.5

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-3(5+8r)=33-8r what is the work and answer

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Each side of a cube measures 5 cm in length. What is the cubes volume?

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____________________________________________________

Answer:

Your answer would be 125 cm³

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Step-by-step explanation:

In order to find the volume of a cube, we would need to use the right formula to find the volume for it.

Volume of a cube formula:

$V = a^{3}$

For our "a" value, we would need to plug in our side value, and for you case, the side value would be 5.

In a cube, all of the sides would be the same size, so you don't have to worry about using any different numbers.

Lets plug in 5 to our equation.

$V = 5^{3}$

Now we solve:

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This is also the same as:

$5 *5*5 = 125$

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The sum of 5 consecutive odd numbers is 145. What is the third number in this sequence

vredina [299]

Answer: The 3rd number in the sequence is 29.

Step-by-step explanation: What we have is a sequence of “ODD” numbers and they are consecutive, which means they come one after another with regular intervals. We don’t have any of the numbers but we can start by saying ‘let x represent the first number in the sequence’

With this in mind, we can now assume all other four numbers in the sequence. Therefore if the 1st number is x, the 2nd number would be x + 2, and the the 3rd number would be x + 4, 4th number would be x + 6 while the 5th number would be x + 8.

The reason is that, every odd number is an addition of two to the previous odd number. For instance, if you start with 3, the next odd number would be 3+2 (5), and so on.

Therefore we can now write our consecutive odd numbers as follows;

x + (x + 2) + (x + 4) + (x + 6) + (x + 8)

Remember that all the numbers add up to 145. Therefore,

x + x + 2 + x +4 + x + 6 + x + 8 = 145

5x + 20 = 145

Subtract 20 from both sides of the equation

5x = 125

Divide both sides of the equation by 5

x = 25.

The first odd number is 25, which means the 3rd odd number is 25 + 4.

Therefore the 3rd odd number is 29.

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3 years ago