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The recommended mass of a Soccer ball is 0.43 kilogram. The actual mass is allowed
to vary by up to 20 grams.
a. Write and solve an absolute value equation to find
the minimum and maximum acceptable soccer ball
masses.
b. A soccer ball has a mass of 423 grams. The soccer
ball loses 0.016 kilogram of mass over time. Is the
mass now acceptable? Explain.

Sagot :

facundo3141592

The absolute value equation is:

|M - 430g| = 20g

And the solutions are M = 410g and M = 450g

b) No, the mass is not acceptable.

How to write the absolute value equation?

We know that the recomended mass is 0.43kg, with an accepted error of 20 grams.

Where:

0.43kg = 0.43*1000g = 430g

Then the minimum mass accepted is: 430g - 20g = 410g

The maximum mass accepted is: 430g + 20g = 450g

These are the solutions, and the absolute value equation is, if M is the mass:

|M - 430g| = 20g

b) If the ball has a mass of 423g it is in the accepted range, if now it loses 0.016kg:

0.016kg = 0.016*1000g = 16g

The new mass is:

423g - 16g = 407g

This is smaller than the minimum accepted mass, then this mass is not acceptable.

If you want to learn more about absolute value equations:

https://brainly.com/question/5012769

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