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zysi [14]
2 years ago
8

Arnie decides to make 3 cups of dark orange paint and 3 cups of light orange paint.

Mathematics
1 answer:
dimulka [17.4K]2 years ago
5 0

The question is an illustration of equivalent ratios.

  • 3 cups of dark orange require 3 ounces of yellow  paint
  • 3 cups of light orange require 19.5 ounces of yellow paint

1 cup of dark orange requires

Red = 7oz

Yellow =1oz

To make 3 cups, we simply multiply by 3, because 3 \times 1 = 3

So, we have:

Red = 7oz \times 3 = 21oz

Yellow =1oz \times 3 = 3oz

2 cups of light orange require

Red =3oz

Yellow =13

To make 3 cups, we simply multiply by 1.5, because 2 \times 1.5 = 3

So, we have:

Red = 3oz \times 1.5 = 4.5oz

Yellow = 13oz \times 1.5 = 19.5oz

Hence:

  • 3 cups of dark orange require 3 ounces of yellow  paint
  • 3 cups of light orange require 19.5 ounces of yellow paint

Read more about equivalent ratios at:

brainly.com/question/18441891

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Write the polar equation in rectangular form.
zhuklara [117]

Answer:

Step-by-step explanation:

The identities you need here are:

r=\sqrt{x^2+y^2}  and   r^2=x^2+y^2

You also need to know that

x = rcosθ  and

y = rsinθ

to get this done.

We have

r = 6 sin θ

Let's first multiply both sides by r (you'll always begin these this way; you'll see why in a second):

r² = 6r sin θ

Now let's replace r² with what it's equal to:

x² + y² = 6r sin θ

Now let's replace r sin θ with what it's equal to:

x² + y² = 6y

That looks like the beginnings of a circle.  Let's get everything on one side because I have a feeling we will be completing the square on this:

x^2+y^2-6y=0

Complete the square on the y-terms by taking half its linear term, squaring it and adding it to both sides.

The y linear term is 6.  Half of 6 is 3, and 3 squared is 9, so we add 9 in on both sides:

x^2+(y^2-6y+9)=9

In the process of completing the square, we created within that set of parenthesis a perfect square binomial:

x^2+(y-3)^2=9

And there's your circle!  Third choice down is the one you want.

Fun, huh?

5 0
3 years ago
Phil baked two kinds of pies. Each pie pan was the same size. He served 1/2 of the blueberry pie. He served 1/4 of the apple pie
s344n2d4d5 [400]
Phil served 2/8 of an apple pie because in order to have a common denominator, you need to multiply 1/4 by 2/2. 
Phil served 2 more pieces of blueberry than apple pie because 1/2(4/4) = 4/8, and 4/8 - 2/8 = 2/8.
5 0
3 years ago
Read 2 more answers
Leo had $91, which is 7 times as much money as Alison had. How much
NARA [144]

Answer:

7x=91

$13.

Step-by-step explanation:

Let x represent money that Alison has.

We have been given that Leo has 7 times as much money as Alison had. So the amount of money that Leo has, would be 7x.

We are also told that Leo had $91, so we will equate 7x with 91 and solve for x as:

7x=91

To solve for x, we will divide both sides by 7:

\frac{7x}{7}=\frac{91}{7}

x=13

Therefore, Alison has $13.

8 0
3 years ago
Read 2 more answers
Solve 4x – 2(x + 1) = 3x + 10<br> Ox= -12<br> Ox=12<br> Ox= -8<br> Ox=8<br> HELP ASAP
hammer [34]

Answer:

<em>The Answer is :</em> x= -12

Step-by-step explanation:

4x-2(x+1)=3x+10\\4x-2x-2=3x+10\\2x-2=3x+10\\2x-3x=10+2\\-x=12\\x=-12

8 0
3 years ago
Read 2 more answers
What is the probability of drawing an even numbered card, keeping it, and then drawing another even numbered card from a stack o
Oksanka [162]

Answer: 1/4

Step-by-step explanation:

In a stack of 24, the 2 mediums are odd and even cards in this question. This means that 1/2 the cards are even and 1/2 are odd. To get a even card once is a 1/2 chance, then to get it again is 1/2 x 1/2 chance or 1/4 chance. This is what I think.

5 0
3 years ago
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