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Gnom [1K]
3 years ago
13

A painter makes one batch of green paint that is 80 ounces total. 75% of the batch is yellow paint and 25% is blue paint. When t

he painter makes a new batch of green paint, she uses the same amount of yellow paint and doubles the amount of blue paint in the mixture. What percentage of her new batch of green paint will be yellow paint?
Mathematics
1 answer:
kicyunya [14]3 years ago
7 0

Answer:

60%

Step-by-step explanation:

There is 56 total ounces of green paint.

42oz is = 3/4

14oz is = 1/4

If she doubles the amount of yellow paint it would be 28oz instead of 14.

42+28= 70

There is now 70oz of paint total which becomes the new denominator.

The numerator is 42oz because that is how much blue paint there is.

42/70=.6 or 60%

Hope this helps!

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A triangle has two sides of length 18 and 4. What is the smallest possible whole-number length for the third side?
Kobotan [32]
<h3>Answer:  15</h3>

==================================================

Explanation:

Let a = 4 and b = 18 be the two known sides of the triangle.

Let c be the remaining side

We'll use a version of the triangle inequality theorem to set up the possible range of values for c.

The range of values for c is determined by the following

b-a < c < b+a

18-4 < c < 18+4

14 < c < 22

Telling us that the third side c is between 14 and 22, excluding both endpoints. This means c = 14 and c = 22 are not allowed. If either value were to happen, then the triangle becomes a single line instead. Try it out with slips of paper.

Because c = 14 is not allowed, we must go to the next whole number up. Therefore, c = 15 is the smallest possible length for the third side, when the third side is a whole number.

If the third side wasn't a whole number, then we could have something like c = 14.1 or c = 14.01 or c = 14.001 or c = 14.0001, and so on. We could steadily get closer and closer to 14, but never actually arrive to it. In short, there is no "smallest third side". This is likely why your teacher is focusing on the whole numbers so there is a smallest value of c possible.

Extra info: As you can probably guess, the largest side possible is c = 21, which is one less than 22. Like above, this is only possible if c is a whole number.

7 0
3 years ago
Andre is preparing for the school play and needs to paint the cardboard castle backdrop that measures  feet by 6 feet.
7nadin3 [17]

Answer:

a. 85.5 sq ft

b. 3 bottles

Step-by-step explanation:

a. The cardboard is rectangular in shape. How much he needs to paint is the same as the cardboard that he needs to paint.

The area of a rectangle is given as:

A = L * B

where L = length and B = breadth

Therefore, the area of the cardboard having dimensions 14 1/4 feet by 6 feet is:

A = 14 1/4 * 6

A = 57 / 4 * 6 = 85.5 sq feet

He needs to paint 85.5 sq feet of the cardboard.

b. On bottle of paint covers 40 sq feet. The number of bottles he will need for his backdrop will be the area he needs to paint divided by the amount of paint that can cover 40 sq feet:

85.5 / 40 =  2.14

Since the number of bottles he will need is a whole number and its greater than 2, then it must be 3.

To paint the entire cardboard, he must have 3 bottles of paint.

8 0
3 years ago
Please help and I will mark you as brainliest!
Travka [436]

Step-by-step explanation:

as we know that the power will be multiplied then

({5}^{3} ) ^{6}

{5}^{18}

Hope it will help :)

6 0
3 years ago
Jack jogs and rides his bike for a total of 75 minutes every day. He rides his bike for 15 minutes longer than he jogs. Part A:
ivolga24 [154]

Jack jogs for 30 minutes and he rides his bike for 45 minutes

Let x represent the number of minutes jogged and y represent the number of minutes that he ride his bike.

Jack jogs and rides his bike for a total of 75 minutes every day. hence:

x + y = 75   (1)

He rides his bike for 15 minutes longer than he jogs. hence:

y = x + 15

-x + y = 15    (2)

Solving equations 1 and 2 simultaneously gives:

x = 30, y = 45

Jack jogs for 30 minutes and he rides his bike for 45 minutes

Find out more on equation at: brainly.com/question/13763238

6 0
2 years ago
Read 2 more answers
If Cos 30=3/5 , then Sinx = 3/5 . Find x
Dmitry [639]

Answer:

x = 60

mark me as Brainliest

Step-by-step explanation:

You cdn thank me in the comment

3 0
3 years ago
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