Answer:
-150
or 150 degrees below 0
Step-by-step explanation:
The temp is -110. Dropping another 40 degrees means subtracting 40.
-110 - 40 = -150
Answer:
6.4
Step-by-step explanation:
9.8 + 10.9 + x = 27.1
20.7 + x = 27.1
x = 6.4
Answer:
8) <em>x</em>=9
10) 23 degrees
Step-by-step explanation:
8) vertical angles are congruent to each other so we can set the expressions as such and solve:
<u>7x</u> + 3 = <u>10x</u> - 24
<u>3</u> = 3x<u> - 24</u>
<u>27</u> = <u>3x</u>
9 = x
10) since the angles are complementary they equal 90 degrees, so we can set the expression like this and solve for <em>x</em>:
<u>12x</u> + 7 + <u>6x</u> - 7 = 90
18x <u>+ 7 - 7</u> = 90
<u>18x</u> = <u>90</u>
x = 5
now we plug it back into the expression equivalent to the measure of angle O:
<u>6(5)</u> -7
<u>30 - 7</u>
23 degrees
Answer:
- 7 singing acts
- 5 comedy acts
Step-by-step explanation:
If all were comedy acts, the 12 of them would take 36 minutes. To make the show last 14 minutes longer, there must be 7 singing acts, since each adds 2 more minutes to the show than does a comedy act.
There are 7 singing acts and 5 comedy acts in the show.
_____
If you need an equation, let s represent the number of singing acts. Then the show length is ...
5s +3(12 -s) = 50
2s + 36 = 50 . . . . . eliminate parentheses
2s = 14 . . . . . . . . . . subtract 36 (the time for 12 comedy acts)
s = 7 . . . . . . . . . . . . divide by 2. This is the number of singing acts.
12 -s = 5 . . . . . . . . . the rest of the acts are comedy acts