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rosijanka [135]
3 years ago
15

In Antartica the temperature can change drastically between day and night. At 3:00 pm, the tempature was a chilly 7 degrees Cels

ius. At that time, it began to drop at steady rate of 6 degrees Celsius every hour . What was the temperature at 7:00 pm?
Mathematics
1 answer:
NikAS [45]3 years ago
4 0

Answer:

T = -17\,^{\textdegree}C

Step-by-step explanation:

The temperature at 7:00 pm is:

T = 7\,^{\textdegree}C + \left(-6\,\frac{^{\textdegree}C}{h}  \right)\cdot (4\,h)

T = -17\,^{\textdegree}C

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- 2(3x + 7) = 32 - 4x \\ distribute \\  - 2 \times 3x =  - 6x \\  - 2 \times 7 =  - 14 \\  - 6x - 14 = 32 - 4x \\ add \: 4x \: to \: both \: sides \\  - 6x + 4x = 32 - 4x + 4x \\  - 2x = 32 \\ divide \: by \:  - 2 \\   \frac{ - 2x}{ - 2}  =  \frac{32}{ - 2}  \\  \\ x =  - 16

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First equation: Your equation is given.

Second equation: Distribute by multiplying every number in the parentheses by the number outside it.

3rd equation: Combine like terms by adding 4x to both sides.

4th equation: Combine like terms by subtracting 14 from both sides.

5th equation: Divide both sides by -2, the coefficient of x.

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