Answer:
Select all the expression's that equal 3.15/0.45
- 3.15÷0.45 , '/' is the same as the '÷' symbol
- 3.15x1/0.45 , dividing is same as multiplying by the reciprocal
- 3.15÷45/100 , 0.45=45/100 in fraction form
Which expressions are solutions to the equation (3/4)x=15 Select all that applies
multiply the right side by the reciprocal to find x.
x = 15·(4/3) = 4/3·15
Solve each equation.
a. 4x=32
x= 8
b. 4=32x
x= 4/32=1/8
c. 10x=2
x= 2/10=1/5
d. 26=100x
x= 26/100=13/50
In a lilac paint mixture, 40% of the mixture is white paint, 20% is blue, and the rest is red. There are 4 cups of blue paint used in a batch of lilac paint.
a. How many cups of white paint are used?
(.2)x = 4 , 20%==0.2
x= 4/(.2) = 20cups total
(.4)(20) = 8 white cups , 40%==0.4, this is 40%(.4) of total amount(20)
b. How many cups of red paint are used?
red makes up 40% of the batch because
100%(total) - 40%(white) - 20%(blue) = 40%(red)
c. How many cups of lilac paint will this batch yield?
Triangle P has a base of 12 inches and a corresponding height of 8 inches.
A₁ = 1/2(12)(8) = 48in²
Triangle Q has a base of 15 inches and a corresponding height of 6.5 inches.
A₂ = 1/2(15)(6.5) = 48.75in²
Which triangle has a greater area?
A₂ - A₁ = 48.75 - 48 = 0.75in²
- Triangle Q has a greater area. Its area is 48.75in². It's .75in² greater than area of triangle P.
Area of a triangle is A=1/2(Base)(Height), which I calculated above