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AlladinOne [14]
3 years ago
12

The price of a pair of pants decreased from $49.99 to $19.95. What was the percent decrease in the price?

Mathematics
1 answer:
natali 33 [55]3 years ago
3 0

Answer:

60.092%

Step-by-step explanation:

For this problem, we will simply create a ratio to find the difference created between the prices, and subtract this from 1 (100%) to find the percent decrease.

$19.95 / $49.99 = 0.39908

1 - 0.39908 = 0.60092

Given that we take away the difference from the price from the percent of the whole, we find that the price decrease is 60.092%.

Thus, we have found the percent decrease.

Cheers.

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A triangle has 2 sides that equal 5 inches. The other side equals 4 inches
miskamm [114]

Answer:

Isosceles triangle

Step-by-step explanation:

It is assumed that the triangle is a right angle triangle, implying that Pythagoras theorem becomes applicable.

If the first side is represented by x and the second side by y,

x + y = 5

The hypotenuse is always the longest side hence it can be presumed to be 4 since both x and y cannot be more than 5.

Therefore using pythagoras equation:

hyp^2 = sqrt(opp^2 + adj^2)

this implies that

4^{2} = \sqrt{x} (x^{2} +y^{2}

therefore

16 = sqrt (x^2 + y^2) ----------------- (i)

since x + y = 5, y = 5 - x ------------------- (ii)

substituting (ii) into eqn (i)

16 = sqrt ( x^2 + (5-X)^2)

16 = sqrt( x^2 + 25 -10x + x^2)

16 = sqrt( x^2 + x^2 - 10x + 25)

16 = sqrt( 2x^2 - 10x + 25)

squaring both sides

256 = 2x^2 - 10x + 25

this can be refined as

2x^2 - 10x - 231 = 0

Solving using quadratic equation:

where a = 2, b = -10 and c = -231

x = 13.53  or -8.53.

Since x is a side of a triangle that cannot be negative,

x = 13.53 but x can never be greater than 5 since x + y = 5

This implies that the triangle is not a right angle triangle; it is most likely an  isosceles triangle with two sides of equal length such that x = y = 2.5 inches while the longest side; the hypotenuse is 4 inches.

substituting for x in

4 0
3 years ago
Two parallel lines are cut by a transversa
Strike441 [17]
What is the question?
8 0
3 years ago
Last year 63 inches of rain fell oaktown. In pine city 7 inches of rain fell last year. Write and solve equation to find how man
Nonamiya [84]

Answer:

Oaktown had 9 times more inches of rain than Pine City did.

Step-by-step explanation:

63 divided by 7 = 9.

Very simple problem. Glad to help.

4 0
3 years ago
Ibrahim wants to give each of his six friends 1 2/3 candy bars. How many candy bars does he need to buy?
denis-greek [22]

Answer:

10 candy bars

Step-by-step explanation:

Since each of his friends needs a candy bar, you need to multiply 6 and 1 ⅔ together.

First, convert 1 ⅔ into an improper fraction: this gives us ⁵⁄₃.

Next, multiply ⁶⁄₁ and ⁵⁄₃ together. To do this, you can visualize 6 as ⁶⁄₁ (which is the same thing). Now you have ⁶⁄₁ x ⁵⁄₃.

<u>Simplify:</u>

The 6 in the numerator and the 3 in the denominator cancel out. This gives us ²⁄₁ x ⁵⁄₁ , which is 2 x 5.

2 x 5 = 10

4 0
3 years ago
Given that 2x-y÷2y-x=6÷1 find x:y​
Korolek [52]

Answer:

Example Problem

Solve 2x+3=15.

Example Answer

x=6

How to Check Your Answer with Algebra Calculator

First go to the Algebra Calculator main page.

Type the following:

First type the equation 2x+3=15.

Then type the @ symbol.

Then type x=6.

Try it now: 2x+3=15 @ x=6

Step-by-step explanation:

7 0
3 years ago
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