Answer:
543d3fff4r3
Step-by-step explanation:
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Let x = amount of 45% antifreezeLet 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:
Step-by-step explanation:
a = 8
b = 10
a^3 =8^3 = 512
b^3= 10^3 =1000
a^3 + b^3 = 1512
a^2 = 64
-ab = - 80
b^2 = 100
a + b=18
(a + b) (64 - 80+ 100)
18 * (84)
1512'
You subtract 6 every time. So, there are already 3 terms, so we need to find the next 19. We can do 19x6, which equals 114. Then subtract 114 from 7, which is -107.
So, the 22nd term will be -107. Hope this helps :)
Answer:
190.5 centimeters.
Step-by-step explanation:
First you need to convert 6ft 3 inches into just inches. There are 12 inches in a foot. 12 x 6 is 72. 72 inches + 3 = 75 inches. 75 inches x 2.54 = 190.5 centimeters.