What is the solution to the equation 3 (2 x + 5) = 3 x + 4 x?

An art gallery is increasing the asking price of its paintings by 60%. A painting now costs $400.00. How much was the painting b

Lera25 [3.4K]

The goal here is to find the cost of the painting BEFORE the 60% increase.

To find the cost of the painting, we must take in the information we already have:

Increase percent: 60%
Original price: unknown
Price after increase: $400

$400 is the price of the painting AFTER the increase has been added. So this equals the cost of the painting before the increase, plus the total amount of the increase (which is 60% of the original price).

The total must be (100% + 60% = 160%) 160% of the original painting price.

To find the original price, we must divide the increased price by the new percentage (160%). But how do we get here?

Well, we have 160% and our (fraction) $400/1%. We will have to switch the 160% and the 1%, giving us..

1% $400/160%

We take 400/160, which is 2.5. But this is only 1% of the original price! We want 100%.

So now, we multiply the 2.5 by 100 to get our answer: $250.

I hope this helps! If you have any questions, feel free to ask.

5 0

4 years ago

Read 2 more answers

What is the probability of randomly choosing a permutation of the 10 digits 0, 1, 2, . . . , 9 in which (a) an odd digit is in t

inysia [295]

The first digit is one of {1, 3, 5, 7, 9}, and the last digit is one of {1, 2, 3, 4, 5}.

If the first digit is one of {1, 3, 5} (3 choices), then the last digit is one of {1, 2, 3, 4, 5} minus whatever is picked for the first digit (4 choices, and the remaining eight digits can be arranged in 8! ways, so there are 12*8! possible permutations.

If the first digit is one of {7, 9} (2 choices, then the last digit is one of {1, 2, 3, 4, 5} (5 choices), and again there are 8! ways of arranging the remaining digits, so there are 10*8! possible permutations.

Then the total number of permutations that fit the criteria is 12*8! + 10*8! = 22*8!. There are 10! total permutations that can be made overall, so the probability of randomly picking one we want is

$\dfrac{22\cdot8!}{10!}=\dfrac{22}{10\cdot9}=\boxed{\dfrac{11}{45}}$

7 0

4 years ago

Mary is 21 years old. Her age is 9 years more than 3 times Henry's age. Which equation can be used to determine x, Henry's age i

luda_lava [24]

Answer:

3x + 9 = 21

Step-by-step explanation:

Let Henry's age be x

Mary's age = 9 + 3x

21 = 9 + 3x

Can also be written as 3x + 9 = 21

4 0

2 years ago

James is 46 years old. This is uncle john's age divided by 2, plus 14 years. how old is uncle John?

Alla [95]

(46/2)+14 = 37

You basically answered the question yourself.

5 0

4 years ago

How to do one hole and 2/5 times 3 4/5

SashulF [63]

1 2/5 x 3 4/5 = 5.32 -- with calculator
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You can change mixed fractions to improper fractions.
1 2/5 = 1 x 5 + 2 = 7 = 7/5
3 4/5 = 3 x 5 + 4 = 19 = 19/5
7/5 x 19/5 = 133/25 = 5.32
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To make sure you can then turn the improper fractions to decimals.
7/5 = 1.4
19/5 = 3.8
1.4 x 3.8 = 5.32
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Whenever I get mixed fraction questions, I always check it in these different excess ways just to make sure :3 Hope it helped..

4 0

4 years ago