Answer:
boys = 250
girls = 150
Step-by-step explanation:
5g = 3b eq. 1
g + b = 400 eq. 2
g = girls
b = boys
From the eq. 2
g = 400 - b
Replacing this last eq. on eq. 1:
5(400-b) = 3b
5*400 + 5*-b = 3b
2000 - 5b = 3b
2000 = 3b + 5b
2000 = 8b
2000/8 = b
250 = b
From eq. 2
g + 250 = 400
g = 400 - 250
g = 150
Check:
from eq. 1
5*150 = 3*250 = 750
Answer:
Step-by-step explanation:
4u + 8v = -3u + 2v
Solving 4u + 8v = -3u + 2v
Solving for variable 'u'.
Move all terms containing u to the left, all other terms to the right.
Add '3u' to each side of the equation. 4u + 3u + 8v = -3u + 3u + 2v
Combine like terms: 4u + 3u = 7u 7u + 8v = -3u + 3u + 2v
Combine like terms: -3u + 3u = 0 7u + 8v = 0 + 2v 7u + 8v = 2v
Add '-8v' to each side of the equation. 7u + 8v + -8v = 2v + -8v
Combine like terms: 8v + -8v = 0 7u + 0 = 2v + -8v 7u = 2v + -8v
Combine like terms: 2v + -8v = -6v 7u = -6v
Divide each side by '7'. u = -0.8571428571v
Simplifying u = -0.8571428571v
Answer:
To find volume of a tent this would be your formula:
start by taking the base of the triangle on your tent typically located in the front
1/2 (height) (width) to get your area (DONT SKIP THIS STEP)
Then take your area you just calculated and do
(area) (length)
Let me give you an example:
in the picture below
height: 3 cm
length: 8 cm
Width: 12 cm
Next do your first formula:
1/2 (3)(12)= 18 cm
(Calculation of one face)
then your second:
(18)(8)= 144 
Hopefully this guide helped you sorry i couldn't answer your question without a picture!
Answer:
b = c(a - 6x )
Step-by-step explanation:
Given
6x + 
= a ( subtract 6x from both sides )
= a - 6x ( multiply both sides by c to clear the fraction )
b = c(a - 6x)
Answer:
-15a^2+20ab
Step-by-step explanation:
Given data
We are given the expression
(-3a + 4b) to be multiplied by 5a
hence we have
(-3a + 4b)*5a
open bracket
-15a^2+20ab
Hence the answer is
-15a^2+20ab
