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3 years ago

Witch expression is equivalent to 1/5(150x - 80y + 50 - 50x- 25y + 20)?

Mathematics

1 answer:

Advocard [28]3 years ago

7 0

Answer:

20x - 21y + 14

Step-by-step explanation:

1/5(150x - 80y + 50 - 50x- 25y + 20)

Step 1 - Distribute

1/5 • 150x = 30x

1/5 • (-80y) = -16y

1/5 • 50 = 10

1/5 • (-50x) = -10x

1/5 • (-25y) = -5y

1/5 • 20 = 4

Step 2 - Combine Variables

30x - 10x = 20x

-16y - 5y = -21y

10 + 4 = 14

Step 3 - Arrange the Set of Numbers

20x - 21y + 14

This is the simplified expression, I know it is correct, I doubled checked on my expression calculator.

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3 years ago

Kevin and Randy Muise have a jar containing 70 coins, all of which are either quarters or nickels. The total value of the coins

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Answer:

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Step-by-step explanation:

System of equations (q = # of quarters, n = # of nickels):

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the first equation can be changed to q = 70 - n, so we are able to substitute q with 70 - n.

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3 years ago

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Answer:

$y=0$

Step-by-step explanation:

We are asked to find the equation of mid-line of the given sinusoidal function.

Since the mid-line of a sinusoidal function is the line that runs between the maximum and minimum y-values of the function. We can consider it the middle y-value.

$\text{Mid-line}=\frac{\text{Maximum value+Minimum value}}{2}$

We can see from our given graph that the maximum value of our function is 5 and minimum value of our function is -5.

Upon substituting these values in mid-line formula we will get,

$\text{Mid-line}=\frac{5+(-5)}{2}$

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