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Ivenika [448]
3 years ago
10

In order to make a specific shade of green paint, a painter mixes 1 1/2 quarts of blue paint, 2 cups of green paint, and 1/2 gal

lon of white paint. How much of each color is needed to make 100 cups of this shade of green
Mathematics
1 answer:
ella [17]3 years ago
7 0

Answer:

Step-by-step explanation:

In order to make a specific shade of green paint, a painter mixes 1 1/2 quarts of blue paint. Converting 1.5 quarts to cup,

1 quart = 4 cups

1.5 quarts = 1.5 × 4 = 6 cups

She also used 1/2 gallon of white paint. Converting 0.5 gallons to cup,

0.0625 gallons = 1 cup

0.5 gallons = 0.5/0.0625 = 8 cups

This means that the ratio of cups of blue paint to green paint to white paint is 6: 2 :8

Total ratio = 6 +2 + 8 = 16

To make 100 cups of this shade of green,

Cups of blue paint needed = 6/16 × 100 = 37.5 cups

Cups of green paint needed = 2/16 × 100 = 12.5 cups

Cups of white paint needed = 8/16 × 100 = 50 cups

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If f(y) = 2y - 2/5,<br> what is f(f^-1(1024))?
SCORPION-xisa [38]

Answer:

-0.399

Step-by-step explanation:

f^-1(1024)=(2*1024-2/5)^-1= 0.000488

f(0.000488)=2*0.000488-2/5= -0.399

7 0
3 years ago
The scale for a map is 20 miles = 1/2 inch. The distance between two towns on the map is 3 3/4 inches. What is the actual distan
zubka84 [21]

Answer:

150 miles

Step-by-step explanation:

If 1/2 of an inch is 20 miles, we can assume that 1/4 of an inch is 10 miles, since half of 1/2 is 1/4 and 1/2 of 20 is 10.

Equipped with this information, we can divide 3 by 1/2 or multiply 3 by the reciprical, 2/1 to get how much we should multiply 20 by.

3*2=6

20*6=120

Then we can multiply 10 by 3 and add that on our answer, since there are still 3/4s left and 1/4=10 miles.

10*3=30

120+30=150

The actual distance is 150 miles.

Hope this helps!

4 0
3 years ago
Janet has 17 quarters and $13 in bills. How much total money does she have?
galben [10]
The answer is $17.25 because you do 17 divided by 4 since 4 quarters goes into a dollAR
8 0
3 years ago
Of the coffee makers sold in an appliance​ store, 4.0% have either a faulty switch or a defective​ cord, 2.5% have a faulty​ swi
lukranit [14]

Answer: Hence, Probability that a coffee maker will have a defective cord is 0.376=37.6%.

Step-by-step explanation:

Since we have given that

Let A be the event of getting a faulty switch.

Let B be the event of getting a defective cord.

Here, P(A∪B) = 4% = 0.04

P(A∩B) = 0.1% = 0.001

P(A) = 2.5% = 0.025

We need to find P(B):

As we know that

P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\0.04=P(A)+0.025-0.001\\\\0.04=P(A)+0.024\\\\P(A)=0.04-0.024=0.376

Hence, Probability that a coffee maker will have a defective cord is 0.376=37.6%.

6 0
3 years ago
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 5 cos 3θ
Aneli [31]
First of all get a picture of what this looks like. Desmos is a pretty good graphing program, but anything that will do polar coordinates will work. 

Here is the graph.

What you can see is that this graph is symmetrical around the x axis.

When you talk about symmetry, you can think of it as taking a mirror and putting it where you think there is symmetry. If you can't tell the difference between the image and the real thing, then you have symmetry.

In this case, the mirror will show symmetry along the x axis and no where else.

4 0
3 years ago
Read 2 more answers
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