Answer:
700
Step-by-step explanation:
420/3=140
140*5=700
Answer:
248
Step-by-step explanation:
(62)4
= 62 x 4
= 248
Answer:
Let x = amount of 45% antifreeze
Let y = amount of 70% antifreeze
EQUATION 1: x + y = 150 (total of 150 gallons mixed)
EQUATION 2: .45x + .75y = .55(x + y)
Simplify and solve the system of equations
Multiply second equation by 100 on both sides to remove the decimals
45x + 75y = 55(x + y)
Combine like terms
45x + 75y = 55x + 55y
45x - 55x + 75y - 55y = 0
-10x + 20y = 0
Now we have the following system of equations:
x + y = 150
-10x + 20y = 0
Multiply the first equation by -10 to get opposite coefficients for x; add the equations to eliminate x
10x + 10y = 1500
-10x + 20y = 0
------------------------------
30y = 1500
Solve for y
30y = 1500
y = 50
Since the total mixed gallons is 150, x = 150 - 50 = 100
So we need 100 gallons of the 45% antifreeze and 50 gallons of the 70% antifreeze
Answer:
D
Step-by-step explanation:
To be an identity we require both sides of the equation to equate
A
8x + 9 ≠ 8x - 3 ← not an identity
B
7x - 2 = 8x + 4 - x = 7x + 4 ≠ 7x - 2 ← not an identity
C
11 - (2x + 3) = 11 - 2x - 3 = - 2x + 8 ≠ - 2x - 8 ← not an identity
D
5x + 8 - x = 6x - 2(x - 4), that is
4x + 8 = 6x - 2x + 8 = 4x + 8 ← both sides equate thus an identity
Step-by-step explanation:
cos Acos B tan(A + B)=- sin A sin B cos Acos B tan A + tan B tan(A + B)=. 1 - tan A tan B. Divide top and bottom by cos A cos B. -. +. 1-. 8.
<h2>Missing: 8b+ | Must include: 8b+</h2>
