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Furkat [3]
3 years ago
6

the temperature fell from o degrees to 6 3/5 degrees below 0 in 2 1/5 hours. what was the temperature change per hour?

Mathematics
1 answer:
Kay [80]3 years ago
7 0

<u>Answer:</u>

The temperature change per hour was -3 degrees per hour.

<u>Step-by-step explanation:</u>

We know that the temperature fell from 0 degrees to -6\frac{3}{5} degrees in a time period of 2\frac{1}{5} hours.

So to find the rate of change of the temperature, we will divide the change in temperature by the number of hours.

For that, we will change the mixed number into improper fractions and then solve:

-6\frac{3}{5}=-\frac{33}{5}degrees

2\frac{1}{5}=\frac{11}{5} hours

Temperature change per hour = \frac{-\frac{33}{5}}{\frac{11}{5}} = \frac{33}{5}*-\frac{5}{11}=-3

Therefore, the temperature change per hour was -3 degrees per hour.

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Length of a rectangle is 4 inches less than twice it’s width of the perimeter is 70 inches what’s the dimensions?
Vedmedyk [2.9K]
W= width
L= length= 2W-4
Perimeter= 70

FIND WIDTH:
P= 2(L + W)
P= 2L + 2W
substitute 2W-4 for L
70= 2(2W-4) + 2W
multiply 2 by all in parentheses
70= (2*2W) + (2*-4) + 2W
70= 4W - 8 + 2W
combine like terms
70= 6W - 8
add 8 to both sides
78= 6W
divide both sides by 6
13= W

FIND LENGTH:
substitute w=13 to find width
L= 2W-4
L= 2(13)-4
L= 26-4
L= 22

CHECK:
P= 2(L + W)
70= 2(22 + 13)
70= (2*22) + 2(13)
70= 44 + 26
70= 70

ANSWER:
length= 22 inches
width= 13 inches

Hope this helps! :)
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