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uysha [10]
4 years ago
6

a factory adds three red drops and two blue drops of coloring to white paint to make each pint of purple paint. the factory will

make 50 gallons of this purple paint. how many drops of red and blue coloring will the factory need in the 50 gallon batch of purple paint?
Mathematics
1 answer:
Hatshy [7]4 years ago
8 0

1200 red drops and 800 blue drops.

First, find the number of pints of purple paint. There are 8 pints in each gallon, so multiply 50 times 8 to find that there are 400 pints.

Now, multiply the 400 pints times the number of drops of each color. 400 times 3 red drops is 1200 drops, and 400 times 2 blue drops is 800 blue drops.

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Ryan has an eight-year loan for $6,000. He is being charged an interest rate of 5 percent, compounded annually. Calculate the to
nikitadnepr [17]
Given:
Principal : $6,000
Interest Rate: 5%
Term : 8 years, compounded annually.

The term compounded annually is a hint that informs us to use the compounded interest formula instead of the simple interest formula.

Compounded interest formula is: 

A = P(1 + r/n)^nt

where:
A = future value of loan or investment including the interest
P = principal
r = rate
n = the number of times the interest is compounded per year
t = the number of years the money is borrowed or invested

A = P (1 + r/n)^nt
A = 6,000 (1 + 0.05/1)¹ * ⁸
A = 6,000 (1.05)⁸
A = 6,000 (1.48)
A = 8,880

The total amount Ryan will pay after 8 years is $8,880.00
5 0
4 years ago
A designer wants to create an apartment in the shape of a right triangle as his new design. If he has three partitions that are
ella [17]

No, he can not do it

Step-by-step explanation:

To prove that the the given three sides can form a right triangle:

  1. Square the three sides
  2. Add the squares of the smaller two sides
  3. If the sum is equal to the square of the largest side, then the three given sides can form a right triangle
  4. If the sum is not equal to the square of the largest side, then the three given sides can not form a right triangle

∵ The designer has three partitions that are 14 , 9 and 20 feet

- Square the length of each partition

∵ 9² = 81

∵ 14² = 196

∵ 20² = 400

- Add the squares of the two smaller partitions 9 and 14

∵ 81 + 196 = 277

∵ The square of the largest partition = 400

∵ 277 ≠ 400

∴ The sum of the squares of the two smaller partitions is not

   equal to the square of the third partition

- To create the apartment in the shape of a right triangle he must

   have three partitions the sum of the squares of the two smaller

   partitions is equal to the square of the largest partition

∴ He can not create the apartment in the shape of a right triangle

No, he can not do it

Learn more:

You can learn more about the right triangles in brainly.com/question/4098846

#LearnwithBrainly

3 0
3 years ago
If one card is drawn from a standard deck of 52 playing cards what is the probability of it is not a heart
dmitriy555 [2]
I forgot how many of each card there are and if you're counting the joker.
But just find the number of heart cards, and minus that from 52.
The answer divided by 52 is the probability that it's not a heart.
6 0
3 years ago
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5 0
3 years ago
Is the graph nonlinear or linear??
SVETLANKA909090 [29]

Answer: I believe it's nonlinear

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3 years ago
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