A store is having a sale to celebrate president's Day. Every item in the store is advertised as one fifth off the original price. If an item is marked with a sale price of $140, what was its original price? Show your work.

Answers

Answer 1
Answer: 1/5th off = 20% off

80% = $140
1% = $1.75
100% = $175

Answer is $175
Answer 2
Answer:

Final answer:

The original price of an item at the store's President's Day sale, that's now reduced to $140 after a fifth off, would have been $175.

Explanation:

The subject of this question is mathematics, specifically applying percentages and fractions in context of a store sale. To solve this problem, you need to understand that a fifth off the original price means the sale price is 80% (or 4/5) of the original. If $140 is 80% of the original price, you can find the original price by dividing $140 by 0.8.

Here are the calculations:

  1. Divide $140 by 0.8.

Thus, the original price of the item at the President's Day sale was $175.

Learn more about Percentages here:

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A cylindrical water tank is being filled with a hose. The depth of the water increases by 1/14 ft per hour. How many hours will it take for the water level in the tank to be 3/12 ft deep?

Could someone help me with this problem? I have been struggling with math and I only have one more attempt on this please help.

Answers

Answer:  0.25

The starting rectangle (on the left) is larger than the ending rectangle (on the right). This means the scale factor is some value between 0 and 1, not including 0 or 1 itself.

To find the scale factor, we divide corresponding sides. We divide the vertical side 1.5 of the figure on the right over its corresponding pair on the left.

So,

scale factor = (new)/(old) = 1.5/6 = 0.25

Since 0.25 = 1/4, this means that the rectangle on the right is 1/4th as small compared to the one on the right.

in gym class, you run 3/5 mile. your coach runs 10 times that distance each day. how far does your coach run each day?

Answers

The coach runs 6 miles each day. Because you would do 3 divided by 5, and get 0.6. Then times that by 10 and you get 6.
You would have to make the number into a mixed number.

A sandbox is 1 1/3 feet tall, 1 5/8 feet wide,and4 1/2 feet long. How many cubic feet of sand will it hold

Answers

volume=legnth times width times height
convert all to iimporper fractions first for ease
1 and 1/3=1+1/3=3/3+1/3=4/3

1 and 5/8=1+5/8=8/8+5/8=13/8

4 and 1/2=4+1/2=8/2+1/2=9/2

multiply them
volume=(4/3) times (13/8) times (9/2)
volume=(4 times 13 times 9)/(3 times 8 times 2)
volume=468/48
volume=39/4
volume=9 and 3/4 cubic feet
Volume (sandbox)= long x wide  x tall

long=4 1/2 ft=(4+1/2) ft=(8+1)/2 ft=9/2 ft
wide=1  5/8 ft=(1+5/8)ft= (8+5)/8 ft=13/8 ft
tall=1 1/2 ft= (1+1/2)ft=(2+1)/2 ft=3/2 ft

Volume=9/2 ft * 13/8 ft * 3/2 ft=(9*13*3) / (2*8*2) ft=351/32 ft³

351/32 ft³=(10*32 + 31)/32 ft³=10 + 31/32 ft³=10  31/32 ft³.

Answer:351/32 ft³   or    10  31/32 ft³

Darius created a factor tree and wrote the prime factorization of 60 shown here.A factor tree of 60. 60 branches to 4 and 15. 4 branches to 2 and 2. 15 branches to 3 and 5.


60 = 2 × 3 × 5

What is Darius’s error?

Answers

Answer: he needs to finish factoring the 4s.

Step-by-step explanation:

4x15 is 60, so that is right, 3x5 is 15, so that’s is right, 2x2 is 4, so that is right, but he didn’t finish factoring. 1x1 is 2, so he should have 1 and 1 coming from each 2 on the tree. Hope this helps.

2/3 · (9y - 15) = 14

im stoopid

Answers

Answer:

y = 4

Step-by-step explanation:

2/3(9y - 15) = 14

multiply bot sides by 3

3 × 2/3(9y - 15) = 14 × 3

2(9y - 15) = 42

divide bot sides by 2

2(9y - 15)/2 = 42/2

9y - 15 = 21

add 15 to bot sides

9y -15 +15 = 21 +15

9y = 36

divide bot sides by 9

9y/9 =  36/9

y = 4

good

luck

The Mulraney's home has 2,550 square feet of living space. A contractor is building an addition to their home that will increase the square footage by 8%. What will be the square footage of their home with the addition?

Answers

Answer:

The square footage will be 2754 square feet.

Step-by-step explanation:

Given,

The original living space in the home = 2,550 square feet,

Total added space = 8 % of the original space

=8\%\text{ of } 2550

=(8* 2550)/(100)

=(20400)/(100)=204\text{ square ft}

Thus, the living space in the home or square footage of their home, after addition = The original living space + Total added space

= 2,550 + 204

= 2,754 square feet.

you equation will be
 2550 + (2550 X 8%)
2550 + (2550 X 0.08)
2550 + 204
= 2754