8 people are about to board a plane. In how many ways can this be done?

Answer:

A

Step-by-step explanation:

[tex]y^2-11y=-28\\y^2-11y+28=0\\(y-7)(y-4)=0\\y=4, 7[/tex]

The correct answer choice is A. Hope this helps!

Answer:

3

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

We have the following expression:

[tex]8^{\frac{2}{3} } -\sqrt{9}*10^{0} + (\frac{1}{144}) ^{-\frac{1}{2} }[/tex]

If we do part by part, we have remains:

[tex]8^{\frac{2}{3} }[/tex] = 4

8 = 2^3

Therefore, the exponents 3 * 2/3 = 2 are multiplied

2^2 = 4

[tex]\sqrt{9}*10^{0}[/tex] = 3

We know that the root of 9 is equal to 3 and that every number raised to 0 is equal to 1, therefore 1 * 3 = 3

[tex](\frac{1}{144}) ^{-\frac{1}{2} }[/tex] = 12

When the exponent is negative, the fraction can be inverted and at the end there is 144 ^ 1/2, which would be the root of 144, which is equal to 12.

So, we have:

4 - 3 + 12 = 13

Answer:

9-(2/x)

Step-by-step explanation:

Step-by-step explanation:

2 Buildings : 3 Floors Each : 16 Windows per Floor

Multiply 2 and 3 to get the total amount of floors.

2 times 3 equals 6

Then, multiply 6 and 16 to get the total amount of windows in the Park View Buildings.

6 times 16 equals 96

Therefore, there are 96 windows in total or 48 windows per building

Answer:

i think the answer is C

Step-by-step explanation:

Answer:

Look below.

Step-by-step explanation:

Uh here's what I did:

-2x-6= -10

Add 6 to both sides.

-2x=-4

Divide both sides by -2

x=2

Answer: 2 prices

Step-by-step explanation:

Price per play = $0.50

Total amount incurred by Gina in playing =$4

Therefore, total games played :

$4 ÷ $0.5 = 8 games.

Total points on spinner = (1,2,3,4,5,6,7,8,9,10,11,12)

Required for winning = (3, 5, 7)

Probability of winning:

P(WIN) = ( required outcome / Total possible outcome)

P(win) = 3/12 = 1/4

Therefore, the number of prices she can expect to win is (1/4) × number of games (8)

(1/4) × (8) = 2

Answer:

They do have the same solution

Step-by-step explanation:

In the first problem, you subtract 3/4 first. Next you would divide by 2/3. When you divide 7 1/4 by 2/3, you get 87/8. The only step in the second problem is to divide 87 by 8 (87/8).

Answer:

6x-y=2 is the equation

Step-by-step explanation:

The formula is y= mx+c where m= slope and c = y-intercept

so replacing their values,

y = 6x -2

y+2= 6x

6x-y = 2 is the required equation.

Answer:

y=6x-2

Step-by-step explanation:

Answer: to write an equation it has to be y=mx+b

The slope is 6, so you substitute the 6 in for the m. M is always the slope.

You also keep the x there.

The y intercept, also know as b, is -2 so you substitute that in for b.

Then you get the equation on the line.

y=6x-2!

Hope this helps. :)

Answer:

4.5

Step-by-step explanation:

162/360=0.45

0.45*10=4.5

Answer:

4.5units

Step-by-step explanation:

arc length's formula:2πr(∆/360)

remember, 2πr: circumference of a circle:

10units according to diagram.

∆=162°

using formula, 10(162°/360)

10*162/360 : 162/36

:4.5 units.

Answer:

Area = (1/2) * side 1 * side 2 * sine (73 degrees)

Area = (1/2) * 6 *  8 * .9563

Area = 22.9512  square feet

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Area = ½ a b sinC

= ½ × 6 × 8 × sin(73)

= 22.9513141431

To the nearest tenth: 23.0 ft²

Answer:

likely or probable

Step-by-step explanation:

hhhgfd

Answer:

(3, - 4) is the solution to the system of equations.

Step-by-step explanation:

1. Rewrite one of the equations so it eighter starts with y= or it starts with x=

Here the easy way is to write X+y=-1 in the form x=

X= - y - 1

2. Substitute X= - y - 1 in the other equation 5X+3y=3:

5X+3y=3

X= - y - 1

5(- y - 1)+3y=3

-5y -5 +3y = 3

-2y = 3 +5

2y = -8

y = - 4

3. Now substitute this value y = - 4 in X= - y - 1

X= - (y) - 1

y = - 4

X= - (- 4) - 1

X = 4 - 1

X =3

4. So X =3 and y = - 4 gives this coordinate (3, - 4), which is the solution to the system of equations.

Answer:

Step-by-step explanation:

First, calculate the volume of the first cylinder

V= pi * r^2 * h

= pi * r^2 * 9 = 9 pi r^2

Volume of the second cylinder

V = pi * (2r)^2 * 9 = 36 pi r^2

the number of pitcher that can be filled is volume of second pitcher divided by volume of smaller 36 pi r^2 / 9 pi r^2 = 4

The number of cylinders that can be filled is given by the equation A = 4

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the first cylinder be V₁

The radius of cylinder 1 = r

The height of the cylinder 1 = 9 inches

Let the volume of the second cylinder be V₂

The radius of cylinder 1 = 2r

The height of the cylinder 1 = 9 inches

Now , the volume of cylinder 1 is V₁ = πr²h

Substituting the values in the equation , we get

V₁ = 9πr²

Now , the volume of cylinder 2 is V₂ = πr²h

Substituting the values in the equation , we get

V₂ = 9π ( 2r )²

V₂ = 36πr²

And , the number of cylinders that can be filled is A = V₂ / V₁

On simplifying the equation , we get

The number of cylinders that can be filled is A = 36πr²/9πr²

The number of cylinders that can be filled is A = 4 cylinders

Hence , the number of cylinders is 4

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Answer:

Quadrilateral ABCD is inscribed in a circle, then

A + C = 180

=> 2x + 9 + 3x + 1 = 180

=> 5x = 170

=> x = 34

=> A  = 2 x 34 + 9 = 77 deg

Hope this helps!

:)

Answer:

77°

Step-by-step explanation:

ABCD is inscribed in a circle. Therefore it is a cyclic quadrilateral. Opposite angles of a cyclic quadrilateral are supplementary.

[tex]\therefore \angle A + \angle C = 180° \\ (2x + 9) \degree + (3x + 1) \degree =180° \\ (5x + 10) \degree =180° \\ 5x + 10 = 180 \\ 5x = 180 - 10 \\ 5x = 170 \\ x = \frac{170}{5} \\ x = 34 \\ \angle A = (2 \times 34 + 9) \degree \\ \huge \red{ \boxed{\angle A= 77 \degree}} \\ [/tex]

Answer:

71 baskets of 3 apples.

Step-by-step explanation:

From each of the 28 baskets of 6 you can get 6/3 = 2 baskets of 3.

From each of the 5 baskets you can get  9/3 = 3 baskets of 3.

Therefore:-

From the 28 baskets you can create 28 * 2 = 56 baskets of 3.

From the  5 baskets of 9 you can get 5 * 3 = 15 baskets of 3.

Total 15 + 56 = 71.

Answer:

5.5 is the number.

Step-by-step explanation:

14-(-2x)=25

Solve the equation.

2x=11

x=5.5

The value of number is -13.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values. . In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Fourteen subtracted from the product of a number and -3 is 25

let the number be x

product of a number and -3= -3x

and, Fourteen subtracted from the product of a number and -3

= -3x- 14

So, -3x -14 = 25

-3x = 25+14

-3x = 39

x= -13

Hence, the value of x is -13.

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Answer:

The original price of the food items was 24.

Answer: B, C  and E

Step-by-step explanation:

Answer:

this is so overdue

Step-by-step explanation:

Answer:

9.53939201417

Step-by-step explanation:

sqrt(91)=

9.53939201417

Answer:

9.53939201

Step-by-step explanation:

This can simply be done in a calculator but what you are basically doing is thinking about the reverse of a exponent. For instance, √25 is 5 because 5² is 25. Hope this helps! If you are still confused please comment!

Answer:

r = 12 inches

Step-by-step explanation:

In this question, we are asked to calculate the length of the radius of the circle.

This is accessible from using the length of an arc.

Mathematically, the length of an arc can be calculated using the formula;

Theta/360 * 2 * pi * r

Where Theta is the angle subtended at the center and r is the radius of he circle.

According to the question, Theta is 3pi/4 radians or let’s just say 0.75pi . This to degrees will be 135 degrees ( pi = 180 degrees)

Thus we have;

9 pi = 135/360 * 2 * pi * r

divide through by pi

9 = 270r/360

360 * 9 = 270r

r = (360 * 9)/270

r = 12 inches

Answer:

b

Step-by-step explanation:

Answer:

b is the answer

Step-by-step explanation:

i checked if inputs repeated in all the string of answers

Answer:

b

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

-4x + 104 = -200

-4x = -304

4x = 304

x=76

Answer:

A. Y=3x+4

Step-by-step explanation:

Answer:

68%

Step-by-step explanation:

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. About 68% of individuals have IQ scores in the interval 100 ± 1 ( 15 ) = [ 85 , 115 ] .

Answer: 4/8

Step-by-step explanation:

From the question, Mrs Andrews had 1 2/8 pizzas left after her party and after giving some to Mr Andrews, she then had 6/8 left.

To know the fraction given to Mr Andrews, we subtract 6/8 from 1 2/8. This will be:

= 1 2/8 - 6/8

= 4/8

She gave 4/8 to Mr Andrews.

Answer:

Step-by-step explanation:

Q8) Diameter = 14 in

r = 14/2 = 7 in

Area of missing chunk = πr²/4

                                    = (3.14 * 7 * 7)/4

                                    =1/4(3.14*7*7)

option 4

Q9) 90 degrees

Q10) Each minute = 6°

      In the figure shown, it is 15 minutes

  = 15* 6 = 90 degrees