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svp [43]
2 years ago
9

a hotel at your vacation destination quotes you a rate of $200/night. you find a similar hotel in town for 25 percent less. if y

ou select the less expensive hotel, how much will you pay for a three-night stay?
Mathematics
1 answer:
lisov135 [29]2 years ago
7 0

Answer: $450

Step-by-step explanation:

Since the similar hotel in town goes for 25 percent less, that means that (100.- 25) = 75% would be paid. This will be:

= 75% × $200.

= 75/100 × $200.

= $150

The amount paid for a three-night stay will be:

= $150 × 3

= $450

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9 4/5 divided by 5 8/11
denis-greek [22]

Answer:

Step-by-step explanation:

392/275 as a fraction

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2 years ago
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Is the distance a baseball travels in the air after being hit a discrete random​ variable, a continuous random​ variable, or not
LuckyWell [14K]

Answer: a continuous random​ variable

Step-by-step explanation:

<u><em>Can you count the distance it traveled?</em></u> You can't, so it couldn't be discrete because you can count discrete variables.

<u><em>Can you measure the distance it traveled? </em></u>You sure can, that makes it a continuous random variable.

<u><em>Do you know the exact distance it's going to travel?</em></u><u> </u>You won't, therefore it's a random variable since you don't know the value beforehand.

5 0
3 years ago
(x - 2)(x² + 2x + 4) = 0​
Ber [7]

We have to find the value of x from the given equation.

  • (x - 2)(x² - 2x + 2) = 0 is a quadratic equation, so it will have two values.

Step: Write the equation in simplest form.

  • (x - 2)(x² - 2x + 1) = 0

Step: Solve the problem by spiltting method.

  • (x-2)(x² - x -x + 1) = 0
  • (x - 2)(x²-x - x + 1) = 0
  • (x - 2) [x(x - 1) -1(x -1)]
  • (x - 2)[(x-1)(x-1)]

Step: Solve the problem with using algebraic formula.

{x-1](x-1)

Step : We have used a²-b² to solve the problem.

(x-2)(x² - x -x + 1) = 0

(x - 2)(x²-x - x + 1) = 0

(x - 2) [x(x - 1) -1(x -1)]

(x - 2)[(x-1)(x-1)]

Therefore, the possible factorization is (x - 2)[(x-1)(x-1)].

4 0
3 years ago
Write an equation for the perpendicular line to the line whose equation is 4y-5x=20 that contains the point (-2,-3)
yuradex [85]

Answer:

4x + 5y = - 23

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

rearrange 4y - 5x = 20 into this form

add 5x to both sides

4y = 5x + 20 ( divide all terms by 4 )

y = \frac{5}{4} x + 5 ← in slope-intercept form

with slope m = \frac{5}{4}

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m}, hence

m_{perpendicular} = - 1 / \frac{5}{4} = - \frac{4}{5}

y = - \frac{4}{5} x + c ← is the partial equation

to find c substitute (- 2, - 3) into the partial equation

- 3 = \frac{8}{5} + c ⇒ c = - \frac{23}{5}

y = - \frac{4}{5} x - \frac{23}{5} ← in slope-intercept form

multiply all terms by 5

5y = - 4x - 23 ( add 4x to both sides )

4x + 5y = - 23 ← in standard form




7 0
3 years ago
2. The perimeter of a college basket ball court is 96 m and the length is 14m
cricket20 [7]

Step-by-step explanation:

A college basketball court is 96 feet by 50 feet. In meters this is approximately 29 meters by 15 meters. While you are correct that the length is 14 meters more than the width, the actual perimeter is 88 meters.

5 0
3 years ago
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