An art teacher mixes 5 parts blue paint and 3 parts white paint to make a light blue color to paint a Tar Heels logo on a school mural. If she needs a total of 40 gallons of light blue paint to paint the mural, how many gallons of blue paint will she use?

50

Step-by-step explanation:

For starters, we make the following assumptions

Let the blue paint be represented by x

Let the white paint be represented by y

Now, forming an inequality equation from the question, we can say that

5x + 3y = 1

And from the second part, we are told that 40 gallons of light blue paints are needed.

If 5x + 3y = 1, then multiplying all by 40, we have

200x + 120y = 40

This means that 200 parts of blue paints is needed to be mixed with 120 parts of white paints to get the desired 40 gallons.

There are 4 parts in a gallon, so 200 parts = 200/4 gallons, = 50 gallons of blue paints

the right system of equations to describe the situation would

be on the form:

x1 = 8000 + y1*t

and

x2 = 8000 + y2*t

where x1 and x2 represents the total money of imogene and her

friend respectively at the end of t years.

now for the value of amount earned, y1 and y2:

y1=8000*0.08

y2=2000*√(t-2)

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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