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dusya [7]
3 years ago
14

Here are two paint mixtures: • 3 cups of white and 4 cups of blue. • 6 cups of white and 8 cups of blue. Both mixtures make the

same color because they are in equivalent ratios. Which of these mixtures is also in an equivalent ratio? 5 cups white 6 blue 1 white 1 1/2 blue 4 white 3 blue 1.5 white 2 blue
Mathematics
1 answer:
lesantik [10]3 years ago
4 0

Answer:

The mixture that is an equivalent ratio is:

1.5 white 2 blue

Step-by-step explanation:

a) Data and Calculations:

Mixtures of the same color because they are in equivalent ratios:

3 cups of white and 4 cups of blue: equivalent ratio = 0.75: 1 (75%) since 3/4 = 75%

6 cups of white and 8 cups of blue. equivalent ratio = 0.75: 1 (75%) since 6/8 = 75%

Other mixtures:

5 cups white 6 blue: equivalent ratio = 0.83: 1 (83%) since 5/6 = 83%

1 white 1 1/2 blue: equivalent ratio = 0.67: 1 (67%) since 1/1.5 = 67%

4 white 3 blue: equivalent ratio = 1: 75 (1.33%) since 4/3 = 1.33%

1.5 white 2 blue: equivalent ratio = 0.75: 1 (75%) since 1.5/2 = 75%

Therefore, the mixture with equivalent ratio as the initial mixtures is 1.5 while 2 blue.

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Answer:

150 mm^3

Step-by-step explanation:

The formula of a pyramid is

V=1/3(Bh)

The formula for a rectangle is

V=(Bh)

They both have the same Bh, so because the formula of a pyramid states that it's 1/3 of Bh, and 1/3 of Bh = 50, the volume of a whole Bh is 150mm^3.

Hope this makes sense

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2 years ago
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Here is a map of a town.
gtnhenbr [62]

Answer:

The distance between park and museum is 12km.

Step-by-step explanation:

Given that the map shows 1cm represents 3km. In this question, the distance between park and museum is 4cm so in order to find the real-life distance, you have to multiply by 4 :

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7 0
3 years ago
Factoring GCF<br> c^4d^2+c^2d^3
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Answer:

c^2d^2(c^2 + d)

Step-by-step explanation:

The equation is c^4d^2 + c^2d^3 so we see that the highest number on both terms that we can factor out is 2. If we factor out c^2d^2 from both terms, we end up with c^2d^2(c^2 + d), making  c^2d^2 the GCF of this expression.

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3 years ago
Nathan is going to invest in an account paying an interest rate of 4.8% compounded continuously. How much would Nathan need to i
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Step-by-step explanation:

8 0
3 years ago
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3x+30+x=10+2x+5x+2 <br> i need help fast
kupik [55]

Answer:

x=6

Step-by-step explanation:

Group Like Terms:

3x+x+30=10+2x+5x+2

Add similar elements 3x+x=4x:

4x+30=10+2x+5x+2

Add similar elements 2x+5x=7x:

4x+30=10+7x+2

Group like terms:

4x+30=7x+10+2

Add the numbers 10+2=12:

4x+30=7x+12

Subtract 30 from both sides:

4x+30-30=7x+12-30

Simplify:

4x=7x-18

Subtract 7x from both sides:

4x-7x=7x-18-7x

Simplify:

-3x=-18

Divide both sides by -3:

\frac{-3x}{-3} =\frac{-18}{-3}

Simplify:

x=6

Hence, the correct answer is 6

4 0
2 years ago
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