A local hotel has 158 rooms. Due to a scouting event, the entire hotel booked except for two rooms. If the girls scouts are using three times as many rooms as the boy scouts, how many rooms are the boy scouts using?

Answers

Answer 1

Answer:

39

Step-by-step explanation:

Let, total rooms girls booked be x and total rooms girls booked be y.

entire hotel was booked except two rooms.

so, total = 158-2 = 156

x+ y = 156

this is equation 1.

also, girls are using three times more room than boys.

so, y=3x

substituting y=3x in 1st equation,

x+ 3x = 156

or, 4x = 156

or, x= 156/4

x= 39


Related Questions

How do I do this???????

Answers

Answer:

42

Step-by-step explanation:

alternate exterior angles are equal. Therefore 32 = y - 10. Solving for y:

y - 10 = 32

y = 32+10

y = 42.

Angle 24* and 4x* are equal

And angle 32* and (y-10)* are equal

24=4x
x=6

(y-10)=32
y=32+10
y=42

what is the
spuare root of 144​

Answers

Answer:

The square root of 144 will be 12

Answer:

12 is the answer

Step-by-step explanation:

12x12=144

If x= 5, y= 3 and z= -2, find the value of 3x + 5z​

Answers

3x + 5z = 3 * 5 + 5 * (-2) = 15 - 10 = 5

Answer:

15 + -10

Step-by-step explanation:

3(5) + 5(-2)

15 + -10

A bag contains 24 discs.
8 are red and 16 are blue.
One disc is taken out at random and replaced by two of the other colour.
Another disc is then taken out at random and replaced by two of the other colour.
Another disk is taken out at random
Work out the probability that all three discs are taken out red

Answers

Answer:

Step-by-step explanation:

8/24 are Red

Pick and return 2

So it will be 7/25

Again pick and return 2

Then it is 6/26

Now multiply the results

8/24 × 7/25 × 6/26 = 7/ 325

The probability that all three discs are taken out of red will be 7/ 325.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that a bag contains 24 discs. 8 are red and 16 are blue. One disc is taken out at random and replaced by two of the other colour. Another disc is then taken out at random and replaced by two of the other colour.

The probability will be calculated as,

Red = 8/24

Pick and return 2 it will be 7/25

Again pick and return 2 then it is 6/26

Now the overall probability will be,

P = 8/24 × 7/25 × 6/26 = 7/ 325

Therefore, the probability that all three discs are taken out of red will be 7/ 325.

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Choose which line represents the line of the best fit

Answers

Answer:

Step-by-step explanation:

I would say B

It’s online B. I mean idrk how else to explain this other than find a line that looks like it’s the closest to connecting the dots

James, Reed, Spencer and Larry have 912 cups of trail mix for their hike. If they each eat the same amount of trail mix, how many cups will each person eat?

Answers

Answer:

228 cups

Step-by-step explanation:

the cups each person will eat can be found by dividing the total number of trail  by the number of people who went on the hike

total number of people on the hike = 4

total cups of trail = 912

912 / 4 = 228 cups

what expression best estimates -18 1/4 ÷ 2 2/3
a. 18÷3
b. -18÷3
c. -18÷(-3)
d. 18÷(-3)​

Answers

B) because if you round your numbers, -18 1/4 is -18 and 2 2/3 rounds up to positive 3

6
5
4
2
1
-3 -2 -1
2.
3 4
5
6 7
-1
-2
-3
-4
Equation:

Answers

Answer:

(-1,5)

(0,2)

(-1,1)

(2,-4)

Answer:

y = -3x + 2

Step-by-step explanation:

Rise (y'-y): 2-5 = -3

Run ( x'-x): 0 - -1 = 1

slope (m): rise/run = -3/1

y intercept (b): 2

Equation: y = mx + b

y = -3x + 2

HELP HAVING A BAD DAY


Roger can finish his math homework in 6 hours. Trish can finish the same homework in 5 hours. What part of the homework will Roger and Trish finish if they work together for x hours?

I WILL REWARD BRAINLIEST FOR THE CORRECT ANSWER

Answers

Answer:

Rodger and Trish will finish the homework together for 30 hours. x=30

Step-by-step explanation:

This is a very simple problem. Its an lcm problem (lcm means lowest common multiple)

To find the lcm you must find the common number the two numbers 5 and 6 share which is 30. Hope that helps, sorry your having a bad day. (i am too bad days suck)

6    5

12   10

18   15

24   20

30   25

       30

And the file the other person shows never work, they are bots (robots) who waste your time answering your questions and waste your brainly points. ugh it gets to annoying.

Roger and Trish can finish 11x/30 of the homework if they work together for x hours.

What is Expression?

An expression is combination of variables, numbers and operators.

Let the total amount of work in the math homework is 1.

In one hour, Roger can finish 1/6 of the work, and Trish can finish 1/5 of the work. So, working together for one hour, they can finish:

(1/6) + (1/5)

= (5/30) + (6/30)

= 11/30 of the work.

If they work together for x hours, then they will finish:

x × (11/30) = 11x/30

of the work in x hours.

Therefore, Roger and Trish can finish 11x/30 of the homework if they work together for x hours.

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Anthony did 5 quizzes and got the following scores in percentage: 70%, 50%, 90%, 80% and 40%. wat is his average score?

Answers

Answer: 66%

Step by Step:

Add up all the scores: 70, 50, 90, 80, 40

You get 330

Divide 330 by 5 since there are 5 numbers in the group

you get 66

explanation ASAP please.

Answers

Triangle area is 1/2 bh
So 11.9 is about 12, 7.1 is about 7.
7x12 = about 84 sq, cm

Answer:

Estimate = 1/2(12)(7) = 42 cm²

actual area = 42.25 cm²

Step-by-step explanation:

area = 1/2bh = 1/2(11.9)(7.1) = 42.25 cm²

pls help :(

What is the sum of the roots of the quadratic function
below?
(3x + 2)(3x - 5)

Answers

Roots: -2/3, 5/3
*Sum of roots: -2/3+5/3= 1*
Product of roots: -10/9


Answer in this case is....1

Beth is two years older than Julio. Gerald is twice as old as Beth. Debra is twice as old as Gerald. The sum of their ages is 38. how old is Beth?

Answers

Answer:

Beth is five years old.

Step-by-step:

Beth + Julio + Gerald + Debra = 38

B + (Beth - 2) + (2 x Beth) + (2 x Gerald) = 38

Since we know that Gerald is twice as old as Beth and Debra is twice as old as Gerald. That makes Debra four times older than Beth.

Beth + (Beth - 2) + (2 x Beth) + (4 x Beth) = 38

B +  (B -2) + (2B) + (4B) = 38

Simplfy the like terms.

8B - 2 = 38

Add 2 on both sides.

8B = 38 + 2

8B = 40

Divide both sides by 8 to isolate the variable.

8/8 B = 40/8

B = 5

A boat traveled 12 miles north and then
22.5 miles east. What is the shortest
distance the boat must travel to return
to its starting point?

Answers

Answer:

25.5 mi

Step-by-step explanation:

12 22.5  X

Let X be the shortest distance we are trying to find.

a units 2 b units 2 c units 2

12 units 2 + (22.5)=c units 2

144+506.25=c units 2

650.25=c units 2

[tex]\sqrt{x} 650.25[/tex]=c units 2

25.5

The speed of boat in still water is 15km/hr if needs 4 more his to travel 63 km against the current of a river than it needs to travel down the river determine the system of equation

Answers

Answer:

[tex]\frac{63}{15 - c} - \frac{63}{15 + c} = 4[/tex]

Step-by-step explanation:

The systems of equations are

Let us assume the rate of the current be c

Now actual speed against the current is (15 - c)

And, the actual speed with the current is (15 + c)

Here we applied the time formula i.e. distance by speed

Also the upstream time  - downstream time = 4

Now the equations are

[tex]\frac{63}{15 - c} - \frac{63}{15 + c} = 4[/tex]

How do i find surface area of a triangler prisim

Answers

Answer:

A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height.

Hope it helps..

Have a great day : P

Answer:

A prism that has 3 rectangular faces and 2 parallel triangular bases, is a triangular prism (refer to the attached picture). This three-sided prism is a polyhedron that has a rectangular base, a translated copy and 3 faces joining sides.

This three-sided prism is a polyhedron that has a rectangular base, a translated copy and 3 faces joining sides.The surface area of a triangular prism is nothing but the amount of space on the outside.

This three-sided prism is a polyhedron that has a rectangular base, a translated copy and 3 faces joining sides.The surface area of a triangular prism is nothing but the amount of space on the outside.The Surface area of a triangular prism is given as:

[tex]ab \: + 3bh[/tex]

plsss help i’ll give brainliest if you give a correct answer

Answers

Answer:

1800

Step-by-step explanation:

Answer:

she will type 1,800 words in thirty minutes.

Explanation:

60x30=1800

((will give brainliest)) What is the output of the function y = 12 + 3x if the input is 5.​

Answers

Answer:

y = 27

Step-by-step explanation:

The output is the value of y when x = 5

Substitute x = 5 into the function , that is

y = 12 + 3(5) = 12 + 15 = 27 ← output

output is 27

to solve you plug in the input into x and rewrite the equation as y=12+3(5) then you add 12+15 and get y=27

In the early 2016 there were about 80 devils living on Maria island.Of that total, 75% are offspring from the previous two breeding seasons. How many are offspring

Answers

Answer: 60 devils

Step-by-step explanation:

Question wants to know the number of offspring from the two previous breeding seasons.

There are 80 devils on the island. 75% of this 80 are from previous breeding seasons.

We need to find this 75% in whole numbers:

= Percentage of devils from previous seasons * Total number of devils

= 75% * 80 devils

= 60 devils

Isabel baked 2 dozen oatmeal cookies for her family. If two-thirds of the cookies were oatmeal, how many total cookies did Isabel bake?

Answers

Answer:

36 total cookies

Step-by-step explanation:

2 dozen = 2/3 of the total cookies

24 = 2/3 of the total cookies

24/x = 2/3

cross multiply

24(3) = 2x

72 = 2x

x = 36

Check the math: 2/3 x 36 = 72/3 = 24

An artist pays an art show director $ 86 to reserve a booth at the show and $ 15 per painting sold at the show

Answers

The question is incomplete:

An artist pays an art show director $ 86 to reserve a booth at the show and $ 15 per painting sold at the show. Which statement is true?

a. The expression 15 p + 86 represents the total amount of money the artist pays the art show director for selling p paintings at the art show.

b. The expression 15 p + 86 represents the total number of paintings, p , the artist sells at the art show.

c. The expression 86 p + 15 represents the total amount of money the artist pays the art show director for selling p paintings at the art show.

d. The expression 86p+15 represents the total number of paintings, p, the artist sells at the art show.

Answer:

a. The expression 15 p + 86 represents the total amount of money the artist pays the art show director for selling p paintings at the art show.

Step-by-step explanation:

With the information provided, you can say that the total  amount the artist pays for selling a certain number of paintings is equal to the result of multiplying the price per painting for the number of paintings plus the amount to reserve a booth at the show. So, the expression that represents this situation 15p+86. According to this, the answer is the expression 15 p + 86 represents the total amount of money the artist pays the art show director for selling p paintings at the art show.

The digit 4 has a greater value in because its value is as much as its value in .

Answers

Question:

Fill in the blanks to complete the statements about the numbers 0.04 and 0.004. In 0.04, the digit 4 is in the place. In 0.004, the digit 4 is in the place.

The digit 4 has a greater value in because its value is as much as its value in

Answer:

The digit 4 has a greater value in because its value is as much as its value in  0.04

Step-by-step explanation:

Given

0.04 and 0.004

Required

Which has a greater value of 4

In 0.04, the value of 4 is hundredths i.e. 0.01

In 0.004, the value of 4 is thousandths i.e. 0.001

By comparison:

[tex]0.01 > 0.001[/tex]

So, 4 has a greater value in 0.04 than 0.004

Rewrite the expressions by using the distributive property and collecting like terms. 1/6(12s + 6)

PLEASE HELP

Answers

For the distributive property, multiply the number outside the parentheses by each term inside the parentheses.

1/6 x 12s = 2s

1/6 x 6 = 1

Now combine them to get the final answer: 2s + 1

Natalie uses a 15\%15% off coupon when she buys a camera. The original price of the camera is \$ 45.00$45.00. How much money does Natalie save by using the coupon? ​

Answers

Answer:

Natalie saves $6.75 by using the coupon.

Step-by-step explanation:

With the information provided, you can find the amount Natalie saves by calculating 15% of the original price of the camera as that is the discount percentage:

Original price=45

45*15%=$6.75

According to this, the answer is that Natalie saves $6.75 by using the coupon.

You buy a TV that costs $550 and you pay 6% sales tax. How much do you pay in total for the TV?
$33
$583
$517
$187

Answers

Answer:

$583 :)

Step-by-step explanation:

well we know the sales tax is %6 and to find out how much money it is equal to we have multiple $550 x 0.06. after that we get $33. Add $33 to $550 and you get $583!

Write an equation when the two angles together are supplementary. solve for x

Answers

lol ur from trms

Step-by-step explanation:

Please help me! I need this answered fast!

Answers

Answer:

Question 1: A

Question 2: C

Step-by-step explanation:

The answer to question 1 is A. I know this is correct because Max needs to earn 108 dollars for the headphones he wants so the amount of money he earns per hour which is 15, times the amount of hours he needs to work which is x has to be greater than 108. So, the inequality equation has to be 15x > 108 which is answer A.

The answer to question 2 is C. I know this is correct because Felicia has 2 sisters which make 3 sisters in total to pay for the gift. They all pay evenly, so the first part of the equation would be 3x. The cost for the gift is less than 80 dollars, so we write the inequality equation like 3x < 80 which is answer C.

Help me if you know how to do this!!!

Answers

Answer:

Volume = 1099 cm³

Step-by-step explanation:

Volume = πr²h = 3.14(5²)(14) = 1099 cm³

y = 2x
x = -y + 6

help meee !

Answers

Answer:

x = 2

y = 4

Step-by-step explanation:

y = 2x

x = -y + 6,   y = 6 - x

substitute for y:

2x = 6 - x

3x = 6

x = 2

y = 4

77777777777777777777777777777

Ben and Landon took turns driving on the recent 820 mile road trip Ben averaged 60 mph while Landon average 56 mph if the trip took them 14 hours how many hours did Landon Drive

Answers

Answer:

9 hours

Step-by-step explanation:

Let :

Landon hours = x

Ben hours = y

x + y = 14 - - (1)

60x + 56y = 820 - - - (2)

From (1)

y = 14 - x

60x + 56(14 - x) = 820

60x + 784 - 56x = 820

4x = 820 - 784

4x = 36

x = 36/4

x = 9

Landon drove for 9 hours

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