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amm1812
2 years ago
5

An artist mixes 25 ounce of blue paint with 115 ounce of green paint. Using the same ratio, how many ounces of green paint shoul

d she mix with 3 ounces of blue paint?
Mathematics
1 answer:
maksim [4K]2 years ago
7 0

Answer:

Ounces of green paint needed = 13.8

Step-by-step explanation:

Blue paint : green paint = 25 : 115

how many ounces of green paint should she mix with 3 ounces of blue paint?

Let

Ounces of green paint needed = x

Blue paint : green paint = 3 : x

Equate both ratios

25 : 115 = 3 : x

25/115 = 3/x

25 * x = 115 * 3

25x = 345

x = 345/25

x = 13.8 ounces

Ounces of green paint needed = 13.8

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A new neighborhood activity complex is being built in erie. The perimeter of the rectangular playing field is 256 yards. The len
maw [93]

Answer:

The length of the rectangular playing field is 84 yards and the width is 44 yards

Step-by-step explanation:

Let

x ------> the length of the rectangular playing field

y -----> the width of the rectangular playing field

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so

256=2(x+y) ------> equation A

we have that

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Substitute equation B in equation A and solve for y

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4 0
3 years ago
What is the length of the diagonal of the square shown below?
Tatiana [17]

Answer:

sqrt(50)

Step-by-step explanation:

Since it is a right triangle, we can apply the Pythagorem Theorem.

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6 0
3 years ago
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A geometry class has a total of 27 students. The number of females is 13 less than the number of males. How many males and how m
boyakko [2]

Answer:

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Step-by-step explanation:

Let's say the number of females is x and the number of males is y.

We know that the total number of students is 27, which can also be written as x + y. So, these two expressions are equal: x + y = 27.

There are 13 fewer females than males, so: x = y - 13.

Now, we can use substitution to solve this system of linear equations.

Since x = y - 13, we can plug in y - 13 for x in x + y = 27:

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Then, we use this value of y to solve for x:

x = y - 13 = 20 - 13 = 7

Thus, there are 20 males and 7 females.

Hope this helps!

6 0
3 years ago
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