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vovangra [49]
3 years ago
9

Ms. Ashley planned to stay at a hotel that charges $88 per night for a room and $20 per night in fees and taxes. She used this e

xpression to calculate the total cost of staying in the hotel for n nights. 88n 20n
Mathematics
1 answer:
Fudgin [204]3 years ago
3 0

Step-by-step explanation:

Since 88 is for one night and 20 per night in fees and taxes.

Step 1 : Calculate for $88

\frac{88n}{88}  \\make N the subject of formula

n =  \frac{88}{88}  \\

N= 1

Step 2: Calculate for $20

\frac{20n}{20}  \\

make N the subject of formula

n =  \frac{20}{20}

N = 1

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What are the solutions of the inequality? graph and check the solutions.
sattari [20]

Answer:

Option 3: x \ge 8

Graph C

Step-by-step explanation:

Find the solution of -\frac{x}{4} \le 2

-\frac{x}{4} \le 2

-x \le 8(multiplication property of equality)

Divide both sides by -1. Since we are dividing by a negative number, the sign would change

x \ge 8

This means that the possible values of x are 8 and any number above 8.

Graphing this, the arrow of directed line would start at 8 and move towards our right hand.

Thus, the graph would be graph C in option C.

6 0
2 years ago
In the diagram below, PQ is parallel to MN . If MP=25, PQ=18, and MN=33, find the length of PO . Figures are not necessarily dra
Ray Of Light [21]

Given that triangles MON and POQ are similar triangles, the length of PO is 30 units.

<h3>What are Similar Triangles?</h3>

The triangles that are similar to each other will have their corresponding sides proportional to each other.

Given:

MP = 25

PQ = 18

MN = 33

Triangles MON and POQ are similar triangles.

Let PO = x

Therefore:

MN/PQ = MO/PO

Substitute

33/18 = (25 + x)/x

Cross multiply

33x = 18(25 + x)

33x = 450 + 18x

33x - 18x = 450

15x = 450

x = 30

Therefore, given that triangles MON and POQ are similar triangles, the length of PO is 30 units.

Learn more about similar triangles on:

brainly.com/question/21874653

8 0
2 years ago
Write the inverse function for the function, ƒ(x) = 1/2x + 4. Then, find the value of ƒ -1(4). Type the answer exactly in this f
WINSTONCH [101]
We can get the inverse function by first setting f(x) = y, solving for x, and after that switching y and x. So, let's solve for x:
f(x)= \frac{1}{2}x+4
y= \frac{1}{2}x+4
2(y-4)=x
2x-4=y=f (x)^{-1}

Then, just plug in 4 for x, and solve:
2(4)-4= f (x)^{-1}
4=f (x)^{-1}

There you have your answer.

4 0
3 years ago
Robert delivers papers every morning. On Sundays he has to deliver 65 papers and on each of the other days he only has to delive
AnnZ [28]

Answer:

B. 305

Step-by-step explanation:

sundays + 6 other days * papers delivered = total papers delivered

65 + 6 * 40 = total papers

65 + 240 = total papers

305 = total papers

4 0
3 years ago
Consider the function represented by the equation y – x – 4 = 0. What is the equation written in function notation, with x as th
Contact [7]
The indepentent variable influences the dependent variable
the value of the depdendent variable is dependent on the value of the independent variable

y=f(x)
solve for y in terms of x

y-x-4=0
add x+4 to both sides
y=x+4
f(x)=x+4 is the answer
7 0
4 years ago
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