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jekas [21]
3 years ago
15

Jake is buying a sweater with the price of 30 dollars the store is having a sell that will reduce the price by 30%. Sales tax of

5% will be added to the final purchase price what is jake total cost.
Mathematics
1 answer:
shusha [124]3 years ago
7 0

Answer:Jake's total cost is $22.05

Step-by-step explanation:

The initial price of the sweater is $30. The store is having a sell that will reduce the price by 30%. This means that there is a reduction in the original amount of the sweater by 30% which is expressed as

30/100 × 30 = $9

The new price of the sweater would be 30 - 9 = $21

Since a sales tax of 5% will be added to the final purchase price, the value of the tax would be

5/100 × 21 = 0.05×21 = $1.05

Jake's total cost would be

21 + 1.05 = $22.05

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What is 12X-4y = -8 written in slope-intercept form?
qwelly [4]

Answer:

y = 3x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

12x - 4y = - 8 ( subtract 12x from both sides )

- 4y = - 12x - 8 ( divide all terms by - 4 )

y = 3x + 2 ← in slope- intercept form

3 0
3 years ago
A library checked out 52 books. 24 are fiction books what is the ratio for fiction to non fiction books. Please show how it is d
agasfer [191]
Since there are 24 fiction books and 52 books in total, you can start with subtracting them both to find the amount of non-fiction books. 52-24=28, so 28 non-fiction books are currently checked out. Now for the fun part. There are two ways I know how to do this, so let's start. One way is that you can put a ':' between the two numbers. For example, since we are trying to find fiction books to non-fiction, we would say 24:28. The first number will represent the first thing they ask for (fiction), and the second number will represent the second thing they ask for (non-fiction). Another way to do this is by putting the numbers as a fraction. For example, you could put 24/28. It will still mean the same thing, and it will not change the outcome. I hope this helps! :)
5 0
3 years ago
Read 2 more answers
Help! What is the answer?
fiasKO [112]

Answer: 22.4

Explanation:

The pieces of the chords multiply together to get the same result. This is from the intersecting chord theorem.

The first chord has pieces of 10 and x, which multiply to 10*x

This is equal to the other product found by multiplying the pieces 14 and 16 (from the other chord)

10*x = 14*16

10x = 224

x = 224/10 ... divide both sides by 10

x = 22.4

5 0
3 years ago
When a plane flies into the wind, it can travel 3000 ml in 6 h . When it flies with the wind, it can travel the same distance in
jeka94

Answer:

  • plane: 550 mph
  • wind: 50 mph

Step-by-step explanation:

If p and w represent the speeds of the plane and wind, respectively, the speed into the wind is ...

  p - w = (3000 mi)/(6 h) = 500 mi/h

And, the speed with the wind is ...

  p + w = (3000 mi)/(5 h) = 600 mi/h

Adding these two equations gives us ...

  2p = 1100 mi/h

  p = 550 mi/h . . . . . . . divide by 2

Then the wind speed is ...

  w = 600 mi/h - p = (600 -550) mi/h

  w = 50 mi/h

The rate of the plane in still air is 550 mi/h; the rate of the wind is 50 mi/h.

4 0
3 years ago
Read 2 more answers
A business man mixed high quality sugar costing 10 shillings with low quality sugar costing 8 shillings per kg in the ratio 3:5
11111nata11111 [884]

Answer:

His percentage profit is 12%

Step-by-step explanation:

Here, we want to calculate the percentage profit made by the business man.

Per kg of what he is selling, he has 3 parts high quality sugar and 5 parts low quality sugar.

Now let’s see how much these costs

For the high quality sugar, it’s total kg mixed per kg will be 3/(3+5) = 3/8

Since high quality sugar costs 10 shillings per kg, 3/8 of a kg will cost 3/8 * 10 = 30/8 = 3.75 shillings

For the low quality, its part will be 5/(3 + 5) = 5/8

since low quality costs 8 shillings per kg, 5/8 of a kg will cost 5/8 * 8 = 5 shillings

Total cost price = 3.75 + 5 = 8.75 shillings

% profit = (selling price - cost price)/cost price * 100%

selling price here is 9.8 shillings per kg

while cost price is 8.75 shillings per kg

% profit = (9.8-8.75)/8.75 * 100%

= 1.05/8.75 * 100% = 0.12 * 100% = 12%

4 0
3 years ago
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