# Hugo is mixing blue paint with red paint to create purple paint. The ratio of blue to red is 3 to 2. How many pints of blue paint will he use to create 40 pints of purple paint?

24 pints of blue paint used  to create 40 pints of purple paint .

Step-by-step explanation:

As given

Hugo is mixing blue paint with red paint to create purple paint.

The ratio of blue to red is 3 to 2.

Let us assume that the x be scalar mutiple .

Thus

Pints of blue paint used = 3x

Pints of red paint used = 2x

As given 40 pints purple paints is made by mixing  blue paint with red paint .

Than the equation becomes

2x + 3x = 40

5x = 40

x = 8

Thus

Pints of blue paint used = 3 × 8

= 24 pints

Therefore 24 pints of blue paint used  to create 40 pints of purple paint .

Answer: 24 pints of blue paint. Idk of this is a solid way to get the answer, but I added 3+2=5. then 40/5=8. Then multiplied 8*3=24 and 2*8=16

## Related Questions

The table shows the results of drawing colored marbles from a bag. Based on theoretical probability, which is the best prediction for the number of times a blue marble would be drawn in 1000 trials?

A.
150

B.
200

C.
250

D.
300

c.250  because if you add all of them it is 1/4 that blue would be drawn
or b. 200 because of the times its shown that its bin drawn it is a 1/5 from the chart

All squares are parallelograms?

yes since the four sides are always parallel in a square
Yes, there is a theorem used in geometry and it states, "Definition of a Parallelogram: is a quadrilateral who's opposite sides are parallel." Since a square has all parallel sides, it fits the definition and is therefore a parallelogram.

Hope this helps!!!

A home improvement store sold chairs for \$60 each. A customer signed up for a free membership card and received a 5% discount off the price. Sales tax of 5% was applied after the discount. What was the final price of each chair?

Step-by-step explanation:

This is the anwser because

60*.05=3

60-3=57

57*.05=2.85

57+2.85=59.85

what is the equation, in slope- intercept form, of the line that contains the points (-3,4) and (5,7)

y = x +

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

To calculate the slope use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (5, 7)

m = = , hence

y = x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

using (5, 7 ), then

7 = + c ⇒ c = 7 - =

y = x + ← equation in slope-intercept form

Explain how to compare numbers using place value ?

Place value is ones, tens, hundredths, thousandths.
I.e. 123.56

1 is in the hundreds place. 2 is in the tens place. 3 is in the ones place. And after the decimal you add -th to the end of the place value (tens->tenths). So 5 is in the tenths place (to the right of the decimal you skip the ones place). And 6 is the hundredth place. Hope this helps!

The measure of an angle is fifty-nine times the measure of a supplementary angle. What is the measure of each angle?__and__

so
supplementary angles are adding up to 180
lets say they are x and y
x+y=180

x is 59 times y
x=59y
subsitute

59y+y=180
60y=180
divide 60
y=3
subsitute
x=59y
x=59(3)
x=177

angles are
3 and 177 degrees