Answer:
b = c − 2a
------------
2
Step-by-step explanation:
2a + 2b = c
2b = c − 2a
b = c − 2a
------------
2
Answer:
1932 credit hours
Step-by-step explanation:
Create a proportion
credits credits
---------- = ----------
students students
14 ?
---- = -----
1 138
14 times 138
1932 credit hours
4 loaves : 6 cups
That simplifies to 2 loaves : 3 cups
So, your ratio is 2:3
Answer/Step-by-step explanation:
5. 21x + 4 = 22x - 2 (corresponding angles)
Collect like terms
21x - 22x = -4 - 2
-x = -6
divide both sides by -1
x = 6
6. (x + 72) + (x + 132) = 180 (linear pair)
x + 72 + x + 132 = 180
Add like terms
2x + 204 = 180
2x = 180 - 204
2x = -24
x = -12
7. 90 = 22x + 2 (vertical angles)
90 - 2 = 22x
88 = 22x
Divide both sides by 22
4 = x
x = 4
8. 12x + 10 = 13x + 3 (vertical angles)
Collect like terms
12x - 13x = -10 + 3
-x = -7
Divide both sides by -1
x = 7
9. 17x = 16x + 5 (alternate exterior angles)
17x - 16x = 5
x = 5
✔️17x
Plug in the value of x
17(5) = 85°
10. 21x - 6 = 20x (corresponding angles)
Add like terms
21x - 20x = 6
x = 6
✔️20x
20(6) = 120°
Answer:
<em>[22,42]</em>
Step-by-step explanation:
<u>Division
</u>
We must find an interval for the number of visits Casey needs to make to her parents to earn the gold status. The lower limit for that status is 16500 miles.
Each round trip flight Casey takes to visit her parents is 750 miles long. To know the minimum number of visits needed, we divide 16500 / 750= 22. To know the maximum number of visits, we divide 31500 / 750 = 42.
Thus, to earn the gold status at awesome airlines, Casey must go between 22 and 42 times to visit her parents. Expressing in interval notation: [22,42]
