Answer:
x = 200 packages.
B
Step-by-step explanation:
1 strip of tape = 2.375 inches
Each package requires 4 such strips or 4 * 2.375 which is 9.5 inches.
Set up a proportion for the rest of the problem
1 package / 9.5 inches tape = x packages / 1900 inches tape.
Multiply both sides by 1900
1*1900 / 9.5 = x
1900/9.5 = x
x = 200 packages.
The first one. 1 machine= x 5 mach.=5x. Total time is thus 5x+2/3=1 3/4h. Simply find x by doing 105min-40min/5 and that is 13.
Answer: 1/(4a^2) + 1/(3a) + 1/9
Step-by-step explanation:
= (1/2a + 1/3)(1/2a + 1/3)
= 1/(4a^2) + 1/(6a) + 1/(6a) + 1/9
= 1/(4a^2) + 2/(6a) + 1/9
= 1/(4a^2) + 1/(3a) + 1/9
<h2>
THE ANSWER IS D. 5</h2>
my answer is too short so just ignore this part but I can promise the answer is five.
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
