David decided to exercise more, so he started running for an hour each day which meant he ran seven hours a week. After eight weeks, how many hours did he run?

56 hours

Step-by-step explanation:

"David decided to exercise more, so he started running for an hour each day which meant he ran seven hours a week. After eight weeks, how many hours did he run?"

Lets get rid of the unimportant stuff first:

'"▇▇▇▇▇▇▇▇▇▇▇▇▇▇, ▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇ ▇▇▇▇▇▇ he ran seven hours a week. After eight weeks, how many hours did he run?"

There are 8 weeks, for each week he ran for 7 hours, so we get the equation 7 x 8 from this sentence, 7 x 8 = 56 so in total he ran 56 hours.

Step-by-step explanation:

Before we choose all the expression that is equal to -9, we must understand that the modulus of a value can return both its positive and negative value. For example, Modulus of b can either be +b or -b i.e |b| = +b or -b

Hence the following expression are all equal ro -9

a)  |−9| is equivalent to -9 because the absolute value of -9 i.e |−9| can return both -9 and 9

b)  −|−9| is also equivalent to -9. The modulus of -9 is also equal to 9, hence negating 9 will give us -9. This shows that  −|−9| = −|9| = −9

c)  −|9| is also equivalent to -9. This has been established in b above.