The temperature dropped by 12° in 5 hours. The temperature dropped the same amount every hour. Complete the equation that represents the amount of change, , of temperature every hour and solve this equation. (1 point)

5% = __
The temperature decreased by every hour__

5 answers

The equation that represents the amount of change in temperature every hour can be written as:
12°/5 hours = ___°/hour.

Simplifying the equation, we have:
___ = 12°/5 hours.

Since the temperature dropped by the same amount every hour, we can solve for the blank by dividing 12° by 5, which gives us:
___ = 2.4°.

Therefore, the equation representing the amount of change in temperature every hour is:
5% = 2.4°.
The temperature dropped by 12° in 5 hours. The temperature dropped the same amount every hour. Complete the equation that represents the amount of change, , of temperature every hour and solve this equation. (1 point)
5x =
The temperature decreased by every hour.
To find the amount of change in temperature every hour, we divide the total change in temperature, which is 12°, by the number of hours, which is 5:

Amount of change per hour = 12° / 5 hours = 2.4°

Therefore, the equation that represents the amount of change in temperature every hour is:

5x = 2.4°

To solve this equation, we divide both sides by 5:

x = 2.4° / 5 = 0.48°

Therefore, the temperature decreased by 0.48° every hour.
Which of the following equations has a solution of -7? (1 point)

0 -x +3 = -4
0 -3x - 8 = -29
O 5x + 11 = -24
O 4x - 23 = 5
To find out which equation has a solution of -7, we need to substitute -7 for the variable in each equation and see which equation results in the left side of the equation getting equal to the right side.

Let's substitute -7 in each equation:

1) 0 - x + 3 = -4
0 - (-7) + 3 = -4
7 + 3 = -4
10 = -4 (Not true)

2) 0 - 3x - 8 = -29
0 - 3(-7) - 8 = -29
21 - 8 = -29
13 = -29 (Not true)

3) 5x + 11 = -24
5(-7) + 11 = -24
-35 + 11 = -24
-24 = -24 (True)

4) 4x - 23 = 5
4(-7) - 23 = 5
-28 - 23 = 5
-51 = 5 (Not true)

Therefore, the equation 5x + 11 = -24 has a solution of -7.