Answer:
18 gallons containing 20% solvent and 6 gallons containing 60% solvent
Step-by-step explanation:
the painter needs 24 gallons of paint containing 30% solvent = 7.2 gallons of solvent
let a = 20% solvent paint
let b = 60% solvent paint
a + b = 24
0.2a + 0.6b = 7.2
(replace a = 24 - b in the second equation)
a + b = 24
0.2(24 - b) + 0.6b = 7.2
4.8 - 0.2b + 0.6b = 7.2
0.4b = 7.2 - 4.8 = 2.4
b = 2.4 / 0.4 = 6
a = 24 - 6 = 18
Answer: y = 3x - 4 will be the parallel line to the line y= 3x -1
Step-by-step explanation:
Parallel lines have the same slope but different y intercepts, so using the equation given , use the formula y=mx +b where m is the slope and b is the
y - intercept ,and input the x and y coordinate to solve for b. Input the same slope into the formula because they will have the same slope.
5= 3(3) + b
5 = 9 + b
-9 -9
b = -4
Since the y intercept is negative 4, the equation will be y = 3x -4
Answer:
Step-by-step explanation:
x=3(180-x)
4x=540
x=135
other angle=180-135=45°
angles are 135°,45°
Answer:
yes, the inequality is true.
Step-by-step explanation:
15 + 9 = 24
24 > 21