Answer:
x=47°
Step-by-step explanation:
..,........................
Answer:
535 students passed and 107 students failed
Step-by-step explanation:
Create a system of equations where p is the number of students who passed and f is the number of students who failed:
p + f = 642
p = 5f
Solve by substitution by plugging in 5f as p into the first equation, then solving for f:
p + f = 642
5f + f = 642
6f = 642
f = 107
So, 107 students failed.
Find how many students passed by multiplying this by 5:
107(5)
= 535
535 students passed and 107 students failed.
105
21x5
7x3x5
So the prime factorization of 105 is 7x5x3
<span>The answer is 25,200.
This can be solved by using proportion.
Set up the proportion as follows:
(10,800/30,000)=(x)/(70,000)
By cross multiplying you get:
(30,000)(x)=(70,000)(10,800)
x=[(70,000)(10,800)]/30,000
x=25,200 coats</span>
Answer:
A
![x = 1 \\ y = 2](https://tex.z-dn.net/?f=x%20%3D%201%20%5C%5C%20y%20%3D%202)
Step-by-step explanation:
![x = - 5 + 3y \\ 3x + 2y = 7 \\ 3( - 5 + 3y) + 2y = 7 \\ - 15 + 9y + 2y = 7 \\ - 15 + 11y = 7 \\ 11y = 7 + 15 \\ 11y = 22 \\ y = 2 \\ 3x + 2(2) = 7 \\ 3x + 4 = 7 \\ 3x = 3 \\ x = 3](https://tex.z-dn.net/?f=x%20%3D%20%20-%205%20%2B%203y%20%5C%5C%203x%20%2B%202y%20%3D%207%20%5C%5C%203%28%20-%205%20%2B%203y%29%20%2B%202y%20%3D%207%20%5C%5C%20%20-%2015%20%2B%209y%20%2B%202y%20%3D%207%20%5C%5C%20%20-%2015%20%2B%2011y%20%3D%207%20%5C%5C%2011y%20%3D%207%20%2B%2015%20%5C%5C%2011y%20%3D%2022%20%5C%5C%20y%20%3D%202%20%5C%5C%203x%20%2B%202%282%29%20%3D%207%20%5C%5C%203x%20%2B%204%20%3D%207%20%5C%5C%203x%20%3D%203%20%5C%5C%20x%20%3D%203)