The scale on a road map indicates that 2 inches = 30 miles. How many inches would represent 120 miles on this road map?

Mathematics

1 answer:

qwelly [4]3 years ago

8 0

In:mi

2 = 30

x = 120

2/30=x/120

(Cross Multiply)

30x= 240

30x/30=240/30

X=8

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Which term is correct when simplifying √128? A.) 16 B.) 12 C.) 10 D.) 8√2

alina1380 [7]

When dealing with roots, we want to factor to see if it's possible

$128 = 2 \times 64$
$= 2 \times 2 \times 32$
$= 2 \times 2 \times 2 \times 16$
$= 2 \times 2 \times 2 \times 2 \times 8$
$= 2 \times 2 \times 2 \times 2 \times 2 \times 4$
$= 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2$

now since we're dealing with square roots, we circle every pair of numbers we see in the final factoring
so..
$= (2 \times 2) \times (2 \times 2) \times (2 \times 2) \times 2$

now for every circled pair, we take only 1 of the 2 circled and bring it outside
anything left uncircled stays inside the root
so..
$= 2 \times 2 \times 2 \times \sqrt{2}$

now simply multiply
$8 \sqrt{2}$