Answer:
Step-by-step explanation:
this is a famous triangle :) known as the 3-4-5 triangle...
it has an angle of 53.73... on the side with the 3
and an angle of 36.869... on the side with the 4
hope that helps with what ever the question is :)
Answer:
x > 5.5
Step-by-step explanation:
4(x - 3) - (2x - 1) > 0
4x - 12 - 2x + 1 > 0
4x - 2x - 11 > 0
2x - 11 > 0
2x - 11 + 11 > 0 + 11
2x > 11
2x ÷ 2 > 11 ÷ 2
x > 5.5
Answer:
Step-by-step explanation:
the answer is neither because they just do look like they do but they don't because they are actually neither that's why it is so tricky.
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
