Please explain this 1⁵+5²/25⁰-5¹=?

1. Dorothy bought a teddy bear and sold it at a 20% profit to Kim. Kim bought a suit costing $100 and dressed the teddy bear up

makkiz [27]

1. Dorothy paid $200 for the teddy bear

2. y is more than x by $33\frac{1}{3}$ %

Step-by-step explanation:

1. The given is:

Dorothy bought a teddy bear and sold it at a 20% profit to Kim
Kim bought a suit costing $100 and dressed the teddy bear up in the suit
Kim then sold the teddy bear in the suit to Karen for $442
Kim made a profit of 30%

We need to find how much Dorothy paid for the teddy bear

Assume that Dorothy bought a teddy bear for $x

∵ Dorothy bought a teddy bear for $x

∵ She sold it at a profit 20% to Kim

By using the ratio method

→ Buying price : Profit : Selling price

→ 100% : 20% : 120% ⇒ (100% + 20%)

→ x : : ?

By using cross multiplication

∴ 100% × Selling price = x × 120%

- Divide both sides by 100%

∴ Selling price = 1.2x

∴ Dorothy sold the teddy bear for $1.2x to Kim

∵ Kim bought a suit costing $100 and dressed the teddy bear

up in the suit

∴ The cost of the teddy bear = 1.2x + 100

∵ Kim sold the teddy bear in the suit to Karen for $442

∵ Kim made a profit of 30%

By using the ratio method

→ Cost price : Profit : Selling price

→ 100% : 30% : 130% ⇒ (100% + 30%)

→ 1.2x + 100 : : 442

By using cross multiplication

∴ (1.2x + 100) × 130% = 100% × 422

- Divide both sides by 130%

∴ 1.2x + 100 = 340

- Subtract 100 from both sides

∴ 1.2x = 240

- Divide both sides by 1.2

∴ x = 200

∴ Dorothy bought the teddy bear for $200

Dorothy paid $200 for the teddy bear

2. The given is:

x is less than y by 25%
Then y is more than x by how many percent

Assume that y is 100%

∵ y = 100%

∵ x is less than y by 25%

∴ x = 100% - 25%

∴ x = 75%

- The percentage of increasing of y = $\frac{y-x}{x}$ × 100%

∵ The percentage of increasing of y = $\frac{100-75}{75}$ × 100%

∴ The percentage of increasing of y = $\frac{25}{75}$ × 100%

∴ The percentage of increasing of y = $\frac{1}{3}$ × 100%

∴ The percentage of increasing of y = $33\frac{1}{3}$ %

y is more than x by $33\frac{1}{3}$ %

Learn more:

You can learn more about the ratio in brainly.com/question/4713715

#LearnwithBrainly

6 0

3 years ago

Area = length x width

11Alexandr11 [23.1K]

What is the length and the width you need those to answer the question

4 0

3 years ago

PLEASE HELP‼️‼️Drag the expression that is the most reasonable measurement for each object.

Afina-wow [57]

Answer:

A. Length of a Tour Bus ↔ #2. 1.1 × 10¹ meters

B. Width of an apple ↔ #3. 4 × 10⁰ centimeters

C. Distance from Earth to a Satellite ↔ #6. 8 × 10² kilometers

D. Thickness of a human hair ↔ #5. 9 × 10¹ micrometers

Explanation:

A. Length of a tour bus.

The length of a tour bus should be measured in meters. It sure is way less than 1 kilometer and way more than a few centimeters. It could be about some meters, more than 5 meters, may be between 10 meters and 15 meters.

The measurement in the box # 2. is 1.1 × 10¹ meters, which is equivalent to 1.1 × 10meters = 11 meters. Thus, this is a reasonable length.

B. Width of an apple.

The most appropiate unit to measure the width of an apple should be centimer. It certanly is shorter than 1 meter and bigger than 1 mm.

The width of an apple could be, more or less, around 8 centimeters. The only measurement in the boxes that is in that order is that in the box #3., 4 × 10⁰ centimeters, because 10⁰ = 1, so 4 × 10⁰ = 4 × 1 = 4centimeters.

C. Distance from Earth to a Satellite

The distance from Earth to a satellite should be measured in kilometers.

You can find in the internet that the distances of the satellites are between 700 kilometers and 36,000 kilometers.

The number in the box #1 is too big, in the order of ten trillions of kilometers, because one trillion is 10¹²; thus that is notreasonalbe (too big).

The number in the box #6 is 8 × 10² kilometers, which is equal to 8 × 100 = 800 kilometers.

Thus, 8 × 10² kilometers (box #6) is the most reasonable measurement for the distance from Earth to a Satellite

D. Thickness of a human hair

Of course, kilometers, meters, centimeters and even milimeters are units too big to measure the thickness of a human hair.

One micrometer is 10⁻⁶ meters or 10⁻³ milimeters.

In the internet you can find that diameter of the humar hairis in the range from 17 micrometers to 181 micrometers.

The measurement in the box #5. is 9 × 10¹ micrometers, which is equivalent to 9 × 10 = 90 micrometers.

Thus, 9 × 10¹ micrometers is the most reasonable measurement fot the thickness of a human hair.

7 0

3 years ago

87.6564 to DP Please help me, thanks

kirill115 [55]

1. DP , you mean decimal points?
87.6564 is already written in decimals points.
it is a combination of a whole number and a decimal points.
=> 87 is the whole number where 8 is tens and 7 is the ones.
=> 6564 is the decimal numbers where 6 next to the decimal point is tenths, 5 is hundredths, 6 is the thousandths and 4 is the ten thousandths.
When you round this number to its nearest tenths, it becomes 87.7

5 0

3 years ago

We want to place a bench measuring 7.05 feet in the center of a platform that is 40.75 feet long

AnnyKZ [126]

40.75 - 7.05= 33.7
33.7 / 2 = 16.85
16.85 ft. should be on each side of the 7.05 ft. bench

5 0

3 years ago

Please explain this 1⁵+5²/25⁰-5¹=?​

Please explain this 1⁵+5²/25⁰-5¹=?