1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Karo-lina-s [1.5K]
3 years ago
9

A hotel charges $90 per day for a double room $80 per day for a single room. If a total of 80 single and double rooms are occupi

ed and a total revenue of $6930 is taken in, how many of each type of room are there?
Mathematics
1 answer:
SashulF [63]3 years ago
4 0

Answer:

the number of single room is 27 and the number of double room  is 53

Step-by-step explanation:

Let x is the number of single room

Let y is the number of double room

We know that:

x + y = 80 <=> x = 80 -y (1)

80x +90y= 6930 (2)

Substitute (1) in (2) we have:

80 (80 - y) + 90y = 6930

<=> 6400 - 80y +90y = 6930

<=> y = 53

> x = 80 - 53 = 27

the number of single room is 27 and the number of double room  is 53

You might be interested in
Solve ln 2 + ln x = 5 . Round to the nearest thousandth, if necessary. show work please
Paraphin [41]

\ln 2 + \ln x = 5\\\\\implies \ln(2x) = 5\\\\\implies 2x = e^5\\\\\implies x = \dfrac{e^5}2 = 74.207

6 0
2 years ago
Snow is piling outside Cameron’s house. He decides to measure the rate at which the height of the pile increases over time. What
sineoko [7]
He can measure the height in inches or centimeters.
The time can be measured in hours.
He can take a measurement of the height in inches or centimeters at a starting point. Then he can let snow fall for a certain number of hours.
Then he divides the height in inches or centimeters by the number of hours to find the rate in inches per hour or centimeters per hour.
5 0
3 years ago
Read 2 more answers
Question 5 of 10
xxTIMURxx [149]

Answer:

D.(1,-1)

Step-by-step explanation:

A positive plus a negative would be a negative but the negative number is less than the positive then you'll have to subtract them both

6 0
3 years ago
The box show the weights in pounds of the dogs in two different animal shelters. Which describes the spread of the data in the t
Alina [70]

Answer: A ( the data in shelter A show more spread than the data in shelter B )

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
About 12.5% of restaurant bills are incorrect. If 200 bills are selected at ran- dom, find the probability that at least 22 will
Pavel [41]

Answer:

0.7734 = 77.34% probability that at least 22 will contain an error. Probability above 50%, which means that this is likely to occur.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

About 12.5% of restaurant bills are incorrect.

This means that p = 0.125

200 bills are selected at random

This means that n = 200

Mean and standard deviation:

\mu = E(X) = np = 200*0.125 = 25

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{200*0.125*0.875} = 4.677

Find the probability that at least 22 will contain an error.

Using continuity correction, this is P(X \geq 22 - 0.5) = P(X \geq 21.5), which is 1 subtracted by the p-value of Z when X = 21.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{21.5 - 25}{4.677}

Z = -0.75

Z = -0.75 has a p-value of 0.2266.

1 - 0.2266 = 0.7734

0.7734 = 77.34% probability that at least 22 will contain an error. Probability above 50%, which means that this is likely to occur.

8 0
3 years ago
Other questions:
  • What is the volume of a cone that has a height of 10 feet and a base with a diameter of 2 and half feet?
    10·1 answer
  • Gcf of 147x^7,-21^8,3x^9
    6·1 answer
  • Math question down below
    7·2 answers
  • [y = x + 4][3x -2y =-7] substitution
    13·1 answer
  • What is the surface area of the box?
    11·2 answers
  • This graph shows a proportional relationship.<br> What is the constant of proportionality?
    10·2 answers
  • Can you pls help me with this?☺️<br>thank you ☺️<br>​
    8·1 answer
  • On a coordinate plane, a point is at (1, 2) and (5, 2). Find the distance between (1, 2) and (5, 2). The points lie in the same
    7·2 answers
  • 192=6000(.02(8/5-4Y)+.08y)<br> solve for y
    6·1 answer
  • for a ride on a rental scooter Kevin paid $6 fee to start the scooter plus $8 cents per minute of the ride the total bill for Ke
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!