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katrin [286]
2 years ago
6

Your friend says that 14.5% is equivalent to the decimal 14.5. explain why your friend is incorrect by comparing the fractional

equivalents of 14.5% and 14.5.
?????
Mathematics
1 answer:
adoni [48]2 years ago
7 0
14.5% = 0.145 = 145/1000

14.5 = 14500/1000

So 14.5% is a hundredth the size of 14.5, so they are not equal and the friend is incorrect.
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3 years ago
Compare and contrast the solution of |2x + 8| &gt; 6 and the solution of |2x + 8| &lt; 6.
svet-max [94.6K]

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B.

The solution of |2x + 8| > 6 includes all values that are less than –7 or greater than –1.

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__

Step-by-step explanation:

You can find the solution by "unfolding" the absolute value, then dividing by 2 and subtracting 4:

-6 > 2x +8 > 6 . . . . . read this as -6 is less than 2x+8 or 2x+8 is greater than 6

-3 > x +4 > 3 . . . . . . .divide by 2

-7 > x > -1 . . . . . . . . . solution to the first inequality: x is less than -7 or greater than -1.

___

The solution to the other inequality is identical, except the direction of the comparison is reversed. It is read differently, because the segments overlap, rather than being disjoint.

-7 < x < -1 . . . . . . . . solution to the second inequality: x is greater than -7 and less than -1.

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These descriptions match choice B.

3 0
3 years ago
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We let x be the length (in minutes) of a certain science class. 65% of this period is spent with the experiment which lasted for about 52 minutes. Mathematically, this can be expressed as,
                                    52 = (0.65)(x)
The value of x from the generated equation is 80. Thus, the science class is 80 minutes long. 
7 0
3 years ago
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