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?

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:

Answer: 8x25= 200

Step-by-step explanation: 200

Answer:

8×25

=200 is the answer ok

Answer: 24

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

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

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~

Answer:

139600

Step-by-step explanation:

just dived all the numbers

Answer:

mean: 8

medium:7

min: 4

max: 18

hope that helps

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! :)

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

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.

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.

More about the percentage link is given below.

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Set up:-

Solution:-

Here it's a cuboid

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

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]

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]

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)

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!

Answer:

10 cm

Step-by-step explanation:

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

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.

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

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.

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

the answer is D i added then subtracted

The inequality that models the situation is given by:

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

He plans to spend it as follows:

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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Answer:

Step-by-step explanation:

irrational number

Answer:

Irrational number

Step-by-step explanation:

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

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

Volume of a cylinder = πr²h

where,

= 30 ft / 2

= 15 ft

Volume of a cylinder = πr²h

= 3.14 × 15 × 15 × 60

= 42,390 cubic feet

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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

let

x = unknown number

2x + 1 = 4 + x

2x - x = 4 - 1

solve

x = 3

Therefore, the unknown number is 3

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