Four-sevenths of the people in a room are seated in seven-eighths of the chairs. The rest of the people are standing. If there are 8 empty chairs, how many people are in the room?

Answers

Answer 1

Answer:

147

Step-by-step explanation:

4/7 people in chairs

7/8 of chairs, rest are standing

8 empty chairs

empty chairs = 1/8

full chairs = 8 x 8

7/8 = 64.

4/7 = 64

1/7 = 64 / 4

1/7 = 21

7/7 = 21 x 7

7/7 = 147

There are 147 people in the room.

Answer 2

There are 147 people in the room.

The given is,

Four-sevenths of the people in a room are seated in seven-eighths of the chairs.

The rest of the people are standing.

there are 8 empty chairs, how many people are in the room in a room are seated in seven-eighths of the chairs.

The rest of the people are standing.

We have to determine there are 8 empty chairs, how many people are in the room.

Four-sevenths of the people.

What is the standard form of the Four-sevenths?

4/7 people in chairs.

7/8 of the chairs, rest are standing

The 8 empty chairs,

The empty chairs = 1/8

The full chairs = 8 x 8

7/8 = 64.

4/7 = 64

1/7 = 64 / 4

1/7 = 21

7/7 = 21 x 7

7/7 = 147

There are 147 people in the room.

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Related Questions

A silo of a barn consists of a cylinder capped by a hemisphere. The
height of a cylinder is 60 feet and its diameter is 30 feet. What is the approximate volume of the entire silo

Answers

The approximate volume of the entire silo which consists of a cylinder capped by a hemisphere is 42,390 cubic feet

Volume of the silo

Volume of a cylinder = πr²h

where,

π = 3.14

Radius, r = diameter / 2

= 30 ft / 2

= 15 ft

Height, h = 60 ft

Volume of a cylinder = πr²h

= 3.14 × 15 × 15 × 60

= 42,390 cubic feet

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Answer my question #4

Answers

Answer:

11. 432,500 12. KF & ND

Step-by-step explanation:

11.

80,000 + 75,000 + 105,000 + 82,500 + 90, 000 = 432,500 people

( it says "about" so it doesn't have to be exact but a reasonable guess)

12. The two stadiums most similar in attendance is Kyle Field and Notre Dame

Sunshine Rental rents a motorcycle at a daily rate of $57.99 plus 48 cents per mile. City Rentals
rents the same motorcycle at $58.95 plus 46 cents per mile. For what mileage is the cost the same?

Answers

Answer:

48 miles

Step-by-step explanation:

To find the mileage when both cost the same, first form two equations for the total cost for each rental place.

Let the mileage be m.

Sunshine Rental

Daily rate= $57.99

Total cost= $(57.99 +0.48m)

City Rentals

Daily rate= $58.95

Total cost= $(58.95 +0.46m)

Let's equate both equations together.

When both costs the same,

57.99 +0.48m= 58.95 +0.46m

0.48m -0.46m= 58.95 -57.99

0.02m= 0.96

Solve for m:

m= 0.96 ÷0.02

m= 48

The cost is the same at 48 miles.

In the figure; Triangle ABC is isosceles with BC=AC . If ∠A = 70, find the values of x and y . Give reasons for your answer.
Captionless Image









Answers

Answer:

∠B = 70 and ∠C = 40

Step-by-step explanation:

The image is not loading for me but with isosceles triangles there will two angles that are the same and one different angle.

All the angles will add up to equal 180 degrees.

In this case the different angle would angle C as the two same lines meet at that point.

From this you can that angle A and B are the same, both 70, so angle C would be:

180 (all the angles of a triangle added together) - 70 - 70 = 40

I'm assuming that x and y are angles B and C as they are not stated so they would be: ∠B = 70 and ∠C = 40.

Here is a diagram to demonstrate this:

9. If triangle GFE - triangle GHJ, find the value of x.

Answers

Answer:

2

Step-by-step explanation:

→ Find the scale factor

12 ÷ 7.5 = 1.6

→ Form an equation

x + 6 = 1.6 ( 2x+ 1 )

→ Solve

x = 2

I will give brainliest if you answer these 10 questions :) 1.Jill has to go to the post office before she drops her 3 children off at the elementary school. She is going straight home after dropping them off. How long is Jill traveling roundtrip?

A. 9 miles
B. 12 miles
C. 18 miles
D. 27 miles

2.Jill leaves her house and goes to pick up a friend from the airport, drops the friend at City Hall. What is the shortest distance Jill travels?

A. 16 miles
B. 25 miles
C. 48 miles
D. 54 miles



3.Jill leaves work from the High School, but has to pick up her friend at the airport before going back home. What is the shortest distance she can travel?

A. 27 miles
B. 21 miles
C. 56 miles
D. 84 miles



4.Mary works at the Elementary School, but has to go to the airport to pick up her father. Her father works at City Hall. She drops her father at City Hall and then returns to the Elementary School. How far did Mary travel if she took the shortest route?

A. 32 miles
B. 36 miles
C. 64 miles
D. 96 miles



5.What is the shortest distance Jill can travel is she leaves her house, goes to City Hall, to the Post Office, and then returns home?

A. 9 miles
B. 16 miles
C. 38 miles
D. 48 miles




6.Mary works at the Middle School, but has to go to the airport to pick up her father. Her father works at City Hall. She drops her father at City Hall and then returns to the Middle School. How far did Mary travel if she took the shortest route?

A. 32 miles
B. 36 miles
C. 64 miles
D. 96 miles



7.Jill works at the High School. If she travels from her house and does not make any stops, what is the shortest distance that she travels roundtrip?

A. 11 miles
B. 12 miles
C. 22 miles
D. 33 miles



8.Jill has to go to the post office before she drops her 3 children off at the elementary school. She is going straight home after dropping them off. How long is Jill traveling before going back home?

A. 9 miles
B. 12 miles
C. 18 miles
D. 27 miles


9.Jill works at the High School. If she travels from her house and does not make any stops, what is the shortest distance that she travels one way to get to work?

A. 11 miles
B. 12 miles
C. 22 miles
D. 33 miles



10.What is the shortest distance Jill can travel if she leaves her house, goes to the post office, to the grocery store, and then returns home?

A. 15 miles
B. 28 miles
C. 45 miles
D. 60 miles

Answers

B c d a d c a b b d c

how do I write this out? Expand to write an equivalent expression…
1/2(-4x + 2y)

Answers

Answer:

-2x + y

Step-by-step explanation:

This is distributive property, so multiply the terms inside the parentheses by 1/2.

1/2 (-4x) = -2x

1/2(2y) = y

-2x + y

Jeremiah answered 20 out of 25 questions correctly on the math test. What percent of the questions did Jeremiah answer correctly?

Answer, explain and setup problem.

Answers

=20/25*100%
=2000/25%
=80%
Therefore she answered 80% answer correctly

___________________cm

Answers

Answer:

10 cm

Step-by-step explanation:

mostly guess and check, 15 is 5 more than 10, and both added together is 25.

If you drew a marble from a bag containing 40 marbles and you had a probability of drawing a red marble, how many red marbles are in the bag?

6
10
3
5

Answers

Answer:

There are 5 red Marbles

Step-by-step explanation:

Alright so since the probability of drawing a red marble is

P(Red) = #Outcomes of Red/#Outcomes in Sample space

The sample Space is 40 marbles.

The probability of drawing red was said to be [tex]\frac{1}{8}[/tex]

P(Red) = [tex]\frac{1}{8}[/tex]

[tex]P(Red) = \frac{r}{40}\\ \frac{1}{8} = \frac{r}{40}\\ \frac{40}{8} = r\\ 5 = r[/tex]

I need help. Work has to be shown but i don’t know how to do them

Answers

Step-by-step explanation:

1.

1% of 500 is 5 so multiply 5 by 8 for one year. which is 40 so multiply that by 2.

1% of 500 = 5

5 × 8 = 40

40 × 2 = 80

2.

1% of 1000 = 10

10 × 5 = 50

50 × 3 = 150

3.

12 months = 6%

6/12 = 1 month

0.5 = 1 month

0.5 × 9 = 4.5 (the amount of interest for 9 months.)

800 × 4.5% = 36

4.

12 months = 7%

7/12 = 1 month ( i'll leave this in fraction form because of the decimal points.)

7/12 x 8 = 4.666667 or 4.7 rounded.

1200 × 4.7% = 56.40

Two equivalent ratios are shown on the graph. How can you plot more equivalent ratios, starting at one of the plotted points? Select all that apply.

A. Move up 2 and right 1.
B. Move up 1 and right 2.
C. Move up 4 and right 2.
D. Move down 2 and left 1.
E. Move down 1 and left 2.

Answers

Answer:

A, move up 2 and right 1

Step-by-step explanation:

If you follow this rule, you can see that all those consistent dotted points will simplify to the same ratios.

Answer:

A, C, D

Step-by-step explanation:

First, we have to create a line based on the data.

Now, we know that the equation of the line is as follows

y = 2x

meaning that whenever we go a certain amount of units to the right or left, we move double that amount up or down

Now, A is equivalent to the Slope, so nthat is automatically equivalent.

C and D are both placed on the line, so they are correct

Another way to think about this is using fractions

x = 1/2 y

For A,

1 = 1/2(2)

For C,

2 = 1/2(4)

For D,

-1 = 1/2(-2)

What is 8x25 to ding out the answer please
Please I need help please help

Answers

Answer: 8x25= 200

Step-by-step explanation: 200

Answer:

8×25

=200 is the answer ok

enter the value for x

Answers

12 times 7 equals 84 so the answer is 84


Find the range, mean, and standard deviation of the data set
{8, 9, 8, 4, 4, 7, 18, 14}
The range is

(Type a whole number.)

The mean is

(Type an integer or a decimal.)

The standard deviation is

(Round the final answer to two decimal places as needed Round all intermediate values to three decimal places as needed.)

Answers

Answer:

mean: 8

medium:7

min: 4

max: 18

hope that helps

Find the average of this set of numbers.2, 5, 6, 14, 83
A) 22
B) 20
C) 19
D) none of the above

Answers

the answer is D i added then subtracted

Combine like terms:
-3(4x + 3) - (2x - 5) + 6(3x - 4)
Make sure you put your x term first
Due in 6 hours

Answers

So we have to use the distributive property:

We ll get -12x-9-2x+5+18x-24
Now we have to combine like terms
-12-2x+18x=4x
-9+5-24=-28
Therefore our answer is:
Y=4x-28

Answer:

4x - 28

Step-by-step explanation:

[tex]-3(4x + 3) - (2x - 5) + 6(3x - 4)[/tex]

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a-b\right)=-a+b[/tex]

[tex]-\left(2x-5\right)=-2x+5[/tex]

[tex]=-3\left(4x+3\right)-2x+5+6\left(3x-4\right)[/tex]

[tex]=-12x-9-2x+5+6\left(3x-4\right)[/tex]

[tex]=-12x-9-2x+5+18x-24[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=-12x-2x+18x-9+5-24[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:-9+5-24=-28[/tex]

[tex]=-12x-2x+18x-28[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:-12x-2x+18x=4x[/tex]

[tex]=4x-28[/tex]

~Learn with Lenvy~

Flying against the jetstream, a jet travels 2370 miles in 3 hours. Flying with the jetstream, the same jet travels 6350 miles in 5 hours. What is the rate of the jet in still air and what is the rate of the jetstream? ​

Answers

Velocity of jet in still air is

970

miles per hour and velocity of wind is

210

miles per hour.

Explanation:

Jet's velocity against wind is

3040

4

=

760

mile per hour and flying with wind it is

8260

7

=

1180

miles per hour.

Let the velocity of jet in still air be

x

miles per hour and velocity of wind be

y

miles per hour.

As such its velocity against wind is

x

y

and with wind is

x

+

y

and therefore

x

y

=

760

and

x

+

y

=

1180

Adding the two

2

x

=

1940

and

x

=

970

and

y

=

1180

970

=

210

Hence velocity of jet in still air is

970

miles per hour and velocity of wind is

210

miles per hour.

The speed of an aircraft in still air is 200kmh−1. The wind blows from the west at a speed of 85.0kmh−1.

1 Expert Answer

The speed of the plane in still air is 110 mph.

Multiply the headwind or tailwind component by your estimated flight time expressed as a decimal, such as "3.2 hours." Add the result (don't forget that tailwinds are negative numbers) to the geographic distance of your route. The resulting number will be total nautical air miles of your trip.

Which of the following describes this?

Answers

Answer:

Step-by-step explanation:

irrational number

Answer:

Irrational number

Step-by-step explanation:

It is a never-ending and non-repeating number.

Uncle Jack cut 3.8 m of a 8 m-long wood to make a shelf. What percent of the wood did Uncle Jack cut to make the shelf?

Answers

Answer:

47.5%

Step-by-step explanation:

3.8/8.0 x 100

= 47.5%

Uncle Jack used 47.50 percent of the wood he cut to create the shelf.

What is the percentage?

The percentage can be described as a quarter of 100. The phrase % decodes to one hundred percent. It is represented by the symbol '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Uncle Jack cut 3.8 m of 8 m-long wood to make a shelf.

Then the percentage of the wood that Uncle Jack cut to make the shelf will be given as,

P = (3.8 / 8) x 100

P = 0.475 x 100

P = 47.50%

The percentage of the wood that Uncle Jack cut to make the shelf will be 47.50.

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hi i need help ill give brainlyest

Answers

Answer: 48.

Step-by-step explanation: The minimum value with box and whisker plots is at the very tip of the whisker at the left side.  48 is at the the tip of the left whisker.  Therefore, that's your answer.

Hope this helps! :)

The electrical current, in amperes, in a circuit varies directly as the voltage. When 18 volts are applied, the current is 6 amperes. What is the current when 51 volts are applied?

Answers

Answer:

Step-by-step explanation:

6 Ampheres or 6A

Step-by-step explanation:

I = Current (unit is Amphere or A)

V = Voltage (unit is Volt or V)

R = Resistance ( unit is Ohm or Ω)

Formulas:

V=IR ; when getting the voltage

R=V/I; when getting the resistance

I=V/R; when getting the current

Solution of the Problem:

First, you have to get the resistance using the first given senario.

Distribute the given values (Voltage=15 Volts or 15V and Current= 5 Ampheres or 5A) to the formula on how to get the resistance.

R=V/I = 15 Volts/5 Ampheres

= 3 Ohms or 3Ω

Now, you have the value of the resistance which is 3 Ohms or 3Ω and the given value of voltage which is 18 Volts or 18V for the second senario.

I=V/R = 18 Volts/ 3 Ohms

= 6 Ampheres or 6A

So, the value of the current is 6 Ampheres or 6A

mark me brainliest and hope this helps!

Two times the quantity of a number increased by one is the same as four more than the same number. Find the Number.

Answers

The unknown number which is two times the quantity of a number increased by one is the same as four more than the same number be is 3

How to write and solve equation?

let

x = unknown number

2x + 1 = 4 + x

collect like terms

2x - x = 4 - 1

solve

x = 3

Therefore, the unknown number is 3

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Amir is expecting to receive at least $50 from his grandparents for his birthday. He plans on using all of the money to buy new clothes for summer. He would like a new pair of sandals that cost $26.50 and new shirts that cost $8 a piece. Write an inequality to represent the number of new shirts he can buy in terms of the sandals and the amount of money he will receive.

Answers

The inequality that models the situation is given by:

[tex]8n \leq 23.5 \rightarrow n \leq 2.9375[/tex]

How does Amir plans to spend his $50?

He plans to spend it as follows:

With a new pair of sandals, costing $26.50.With n new shirts, each costing $8.

Hence, his total spending is given by:

T = 26.50 + 8n.

He can spend at most $50, hence:

[tex]T \leq 50[/tex].

[tex]26.50 + 8n \leq 50[/tex]

[tex]8n \leq 23.5 \rightarrow n \leq 2.9375[/tex]

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Need help with math probelm if do 5 stars and brainly points

Answers

Set up:-

Find volume of closet storageFind volume of each cubeDivide and get no of cubes

Solution:-

Here it's a cuboid

Length=L=6.5ftBreadth=B=4ftHeight=H=12.5ft

Volume:-

[tex]\\ \rm\rightarrowtail V=LBH[/tex]

[tex]\\ \rm\rightarrowtail V=6.5(4)(12.5)[/tex]

[tex]\\ \rm\rightarrowtail V=325ft^3[/tex]

For cubes

sides=0.25ft

Volume:-

[tex]\\ \rm\rightarrowtail V=side^3[/tex]

[tex]\\ \rm\rightarrowtail V=(0.25)^3[/tex]

[tex]\\ \rm\rightarrowtail V=0.015625ft^3[/tex]

Now

Total cubes:-

[tex]\\ \rm\rightarrowtail \dfrac{325}{0.015625}[/tex]

[tex]\\ \rm\rightarrowtail 20800cubes[/tex]

Evaluate 9 divided by 3 [(18-6)-2 to the second power]

Answers

Answer: 24

I hope this helped

After winning $73,000 on a game show, Jasmine invests the money in a fixed-rate account offering 7.2% interest
compounded semiannually. How long will it take that amount to grow to $100,000?

Answers

Answer:

139600

Step-by-step explanation:

just dived all the numbers

. Quinn is building a table. The top is an isosceles trapezoid, with bases that are 1.5 meters and 2 meters, and a height of Imeter. What is the area of the table top?​

Answers

Answer:
Area = 1.75 Meters

Steps:
Area = h*(a + b) / 2
Fill in what we know.
Area = 1*(1.5 + 2) / 2
Evaluate.
Area = 1.75

The perimeter of the rectangle below is 168 units. Find the length of side AB.
Write your answer without variables.
D
С
AB
0
4z + 1
SZ+2

Answers

Answer:

47

Step-by-step explanation:

10z + 4 + 8z + 2 = 168

first we find z

z = 9

5×9 +2 is 47

ANSWER IS 47

Each level of a smartphone app adds more gems for you to match. On
level one, there were 13 gems. On level twelve, there were 123 gems.
When you complete all twelve levels, how
many total gems will you have
matched? (2 points)
O 748
• 816
O 660
O 605

Answers

Answer is 816. Hope this helps
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