Perpendicular lines are lines that cross at a 90 degree angle
Lines AB and BC
Answer:
b. The paint will not fill the tray by 5.22 in3.
Step-by-step explanation:
The computation is shown below:
First we have to determine the volume of tray by using the following equation
Now transform this from dimensions to inches
Now putting the values,
the volume would be equivalent to the
236.22 inches^3
Now 1 gallon is 231 inches^3
So, the remaining would be
= 236.22 - 231
= 5.22^3
Therefore the correct option is b.
Hence, all the other options are wrong
Answer:
Exact form: 5/2
Decimal form: 2.5
Mixed number form: 2 and 1/2
Step-by-step explanation:
when you divide a fraction you keep, change, flip
Equation: 5/8 ÷ 1/4
keep 5/8 the same
change the divide symbol into a multipulcation symbol
flip 1/4 the other way, so it's 4/1 (it's a whole number now)
then just multiply across
Equation now: 5/8 × 4/1
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:
X= -7
Step-by-step explanation:
-25 + 8x +20 = -61
8x -5 = -61
8x = -56
x = -7
