For #32,
P=2L+2W
Subtract 2W from both sides, and swap left and right
2L = P-2W
Divide by 2
2L/2=(P-2W)/2
L = P/2 - 2W/2
L=P/2 - W
For #35
Most of the expenses are in fractions (of the original amount, A), so they can be added:
A/4 + A/5 + 2A/5 + 750 = A
add the fractions, with a common denominator of 20,
5A/20 + 4A/20 + 8A/20 +750 = A
(5A+4A+8A)/20 +750 = A
17A/20 + 750 = A
Now subtract 17A/20 from both sides and swap left and right
A - 17A/20 = 750
(3/20)A = 750
Multiply both sides by 20/3 (to make one unit of A on the left)
(3/20)*(20/3) A = 750*20/3
A =250*20=5000
F(x)=2x+3. easy as that, just replace y with f(x)
Answer:
x = 4, y = -4
Step-by-step explanation:
9x + 3y = 24
3x + y = 8 divide both sides by 3
y = 8 - 3x subtract 3x from both sides
2y + 4x = 8
2(8 - 3x) + 4x = 8 replace y with 8 - 3x
16 - 6x + 4x = 8 distributive property
-6x + 4x = 8 - 16 subtract 16 from both sides
-2x = -8 divide both sides by -2
x = 4
y = 8 - 3x
y = 8 - 3(4) replace x with 4
y = 8 - 12
y = -4
Answer:
False
Step-by-step explanation:
Trying it in a calculator says otherwise meaning it's false
