MATHEMATICS MIDDLE SCHOOL

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?

Answers

Answer 1

Answer:

Answer:

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

$x = (40)/(5)$

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 2

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

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What is the value of n? -10 = n/-0.2

Answers

-10 = n/-0.2

First, we can change the fraction n/-0.2 into a whole negative. Basically, move the negative sign to the front of the fraction.
$-10 = -(n)/(0.2)$

Second, we can now make our goal to get the variable (n) by itself on one side of the problem. This means we have to move everything over on another side. We can start out by multiplying both sides by 0.2.
$-10 * 0.2 = -n$

Third, let's simplify -10 × 0.2. Whatever the solution, it will be negative. You can solve this by using a calculator, set it up the long way, etc. (-10 × 0.2 = 2)
$-2 = -n$

Fourth, our last step is to multiply both sides by -1. Where did we get the -1? -n can be considered -1, since a variable by itself is 1. After this, we can switch sides.
$n = 2$

Answer: $\fbox {n = 2}$

n=2 2/-0.2 equals -10

How to solve 6w 30; 5, 6, 7

Answers

6 w = 30
divide 6 from both sides
6w /6 = 30/6
w=5

A rectangle an an area of 30 square meters anda has dimensionsperimeter of 34 meters. What are the of the rectangle

Answers

The sides of the rectangle are:
xy = 39
2x + 2y

Solve by simultaneous equation:
ysquared -17y + 30 = 0

Solution:
The sides are equal to 15 and 2

Which one is bigger 1/2,2/4 or3/4

Answers

3/4 is 0.75 in decimal, the others are only 0.5

3/4 is bigger because .75>.5 or 3/4>1/2, and 3/4>2/4 or .75>.5

The Silver Lake Reservoir in California is being drained to make way for an underwater pipeline. The reservoir holds 400400400 million gallons of water, and it is estimated that the drainage will take at least 252525 days. If the water is drained at a constant rate, what is the maximum rate of drainage, in millions of gallons per day?

Answers

Divide the total the lake holds by the number of days:

400 million / 25 days = 16 million gallons per day.

The maximum rate of drainage, in millions of gallons per day is 16 millions of gallons per day.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Amount of water reservoir can hold = 400400400 million gallons of water ≈ $400$ million gallons