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svp [43]
3 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]3 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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Square root of 5u+2 = square root of 3u+14
alina1380 [7]
Sqrt(5u + 2) = sqrt(3u + 14)
Square both sides to clear the square root.
5u + 2 = 3u + 14
subtract 3u from both siides
2u + 2 = 14
subtract 2 from both sides
2u = 12
divide both sides by 2
u = 6
When you square a square root you MUST check the solution.
sqrt(5*6 + 2) = sqrt(3*6 + 14)
sqrt(32) = sqrt(32)

8 0
3 years ago
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5 0
3 years ago
In one month Julian made 35 local phone calls and 20 long distance calls
V125BC [204]

Answer:

\frac{7}{4} local calls per 1 long distance call.

Step-by-step explanation:

Local calls =35

Long distance calls =20

For 20 long distance calls local call =35 For 1 long distance calls local call [tex]=\frac{35}{20} =\frac{7}{4}

8 0
4 years ago
The graph of 15x + 7y = 15 is shown on the grid. Which ordered pair is in the solution set of 15x + 7y ≥ 15?
elena55 [62]

Answer:

The correct option is c.

Step-by-step explanation:

The given equation is

15x+7y=15

The given inequality is

15x+7y\geq 15

A point will contained in solution set if the above inequality satisfied by that point.

Check the point (0,-3),

15(0)+7(-3)\geq 15

-21\geq 15

This statement is false, therefore option a is incorrect.

Check the point (-3,0),

15(-3)+7(0)\geq 15

-45\geq 15

This statement is false, therefore option b is incorrect.

Check the point (3,3),

15(3)+7(3)\geq 15

66\geq 15

This statement is true, therefore option c is correct.

Check the point (-3,-3),

15(-3)+7(-3)\geq 15

-66\geq 15

This statement is false, therefore option d is incorrect.

7 0
3 years ago
Find an equation to the line perpendicular to 4x + 36y =80 an goes through the point (3,6) write answer in form y= Mx+b
Veronika [31]

Answer:

\textbf{y = 9x + 21 }\\

Step-by-step explanation:

\textup{Given equation is: $4x + 36y = 80  $}\\\textup{This can be written in the form of $y = mx + a$ as follows}\\$ 36y = -4x + 80 $\\$ \implies y = \frac{80}{36} - \frac{4}{36}x $\\$ \implies y = \frac{-1}{9}x + \frac{20}{9} $\\\textup{This means that the slope of this line is $m = \frac{-1}{9}$}\\

\textup{Then the slope of the line perpendicular to this line would be \textbf{negative reciprocal of m}.}\\$i.e.,$ \textup{Slope of the perpendicular line would be $m_1 = \frac{-1}{\frac{-1}{9}}$}\\$\implies m_1 = 9$\\

\textup{The perpendicular line passes through the point $(3,6)$}\\\textup{Using the \textbf{point-slope formula}, we get:}\\

$$ y - y_1 = m(x - x_1) $$$ \implies y - 6 = 9(x - 3) $\\\textup{After solving this reduces to $y = 9x + 21$ }

8 0
4 years ago
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