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Dominik [7]
3 years ago
8

A bag contains 75 marbles that are red, blue, or green. The ratio of red to blue marbles is 15:7, and the ratio of blue to green

marbles is 7:3. If 2 marbles are removed and replaced with 2 green marbles, what will be the new ratio of red to green marbles.
Mathematics
1 answer:
qwelly [4]3 years ago
7 0

Answer:

5:5 or 7:3

Step-by-step explanation:

Step-by-step explanation:

If there are 15 red marbles, there'll be 7 blue marbles.

If there are 7 blue marbles, there'll be 3 green marbles.

If we get 2 blue marbles and put 2 green, than things will stay like this:

If there are 5 blue marbles, there'll be 5 green marbles.

If we get 2 green marbles and put 2 green, than things will stay like this:

If there are 7 blue marbles, there'll be 3 green marbles.

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3 years ago
A carpenter is building a rectangular room with a fixed perimeter of 300 ft. what dimensions would yield the maximum​ area?
Inessa05 [86]

Perimeter = 2(Length) + 2(Width)

300 = 2L + 2W → 150 = L + W → 150 - L = W

Area = Length · Width

A_{max} = L(150 - L) → A_{max} = 150L - L²

There are 2 different methods for solving (depending on which math course you are taking).

<u>Calculus</u>: find the derivative, set it equal to zero, and solve for L.

A_{max} = 150L - L² → 0 = 150 - 2L → 2L = 150 → L = 75

<u>Algebra</u>: find the vertex.

A_{max} = - L² + 150L → L = -b/2a → L = -150/2(-1) → L = 75

Once you solve for L, plug it into the Perimeter equation to solve for W:

150 - L = W → 150 - 75 = W → W = 75

Answer: 75ft x 75ft


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4 years ago
Please explain what is the menu cost,and what does it Include
Nady [450]
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7 0
3 years ago
If w = 2, x = 3, y = 5, and z = 6 then evaluate the expression: y + 5 *
taurus [48]

Step-by-step explanation:

The variables w, x, and z are not needed because this expression only contain one variable, y

y= 5      It says it in the problem

Start by substituting the value of y into the expression

y+5 = 5+5

Solve

5+5 = 10

Solution: y+5 = 10

I hope this helps!!!

5 0
3 years ago
Harry needs 21 square meters of fabric for every 6 wizard cloaks he makes.
Natalija [7]

Answer:

next to the seven would be 2 and before the 4 would be 14

Step-by-step explanation

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    To find the answer in the second row you see how many times that amount of fabric goes into 7. 7/3.5=2

    To find the answer to the third row multiply the amount of fabric it takes to make one cloak, 3.5, by 4, the amount of cloaks. 3.5x4=14

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3 years ago
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