11. The student council is comparing prices for their semi-formal dance. They compare banquet. Hall A charges $40 per person. Hall B charges $20 per person plus $500 fixed fee. Write an equation to represent the relationship between the total cost and the number of people, if the variables are defined as follows:

Answer:

x=2

Step-by-step explanation:

[tex] - 2 + 4 = 2[/tex]

Answer:

lenth = x= 12cm

Breadth = y = 8cm

Step-by-step explanation:

Given :

The length of a rectangle is 4 cm more than its width

The area of the rectangle is 96 cm²

To Find :

Width of the rectangle.

Solution :

Let the length of the rectangle be x cm.

Let the breadth of the rectangle be y cm.

Case 1:

➣

➣  _____(1)

Case 2 :

We have the formula for area of the rectangle as follows :

Where,

l = length → x cm

b = breadth → y cm.

➣

➣

Substitute, x = 96/y in equation 1,

➣

➣

➣

➣

➣

Divide by minus sign,

➣

➣

➣

➣

➣

➣

➣

As per assumption, y = breadth of the rectangle.

•°• y = -12 is not acceptable.

Substitute, y = 8 in equation 1,

➣

➣

➣

➣

Answer:

the answer is B

Step-by-step explanation:

because it is in the form ax^2+bx+c

Answer:

D i think

Step-by-step explanation:

Answer:

Lines of latitude run in horizontal parallels and represent distance north or south from the equator, measured in an angle from the centre of the Earth. The equator represents 0° and each pole represents 90°

Step-by-step explanation:

Answer: Hope This Helps!

Step-by-step explanation:

Use the sight line on the top of the aiming beam to align the beam with the North Star. Use the protractor to measure the angle between the beam and the horizon (which is 90º to the plumb line). This angle is your latitude.

Answer:

Area of a rectangle is given by product of length and width. Hence width is area divided by length.

[tex] \sf{ \boxed{ as \ area \ is \: 5 \frac{3}{8} = \frac{4}{38}}}[/tex]

Answer:

Solution given:

length [L]=558

width[W]=112

Now

area of rectangular patio :LW=558*112

=62496

Answer:

6

Step-by-step explanation:

If you use the distance formula, which is [tex]\sqrt{(x_{2}-x_{1})+(y_{2}-y_{1})[/tex] and you plug everything in, you get 6.

Answer:

IT'S (x+9)(x-9)

Step-by-step explanation:

Answer:

yes they are simlar because they are both that shape

Step-by-step explanation:

Answer:

≈ 2,826 cm^3

Step-by-step explanation:

V = πr^2h

V = 3.14 · 10^2 · 9

V = 3.14 · 100 · 9

V = 314 · 9

V = 2,826

Answer:

48 m^2

Step-by-step explanation:

Since this is a parallelogram, you can think of it as taking the triangle off of the left side and reattaching it on the right side to make a rectangle. After you visualize it as a rectangle, you just have to multiply 8 by 6 to get 48 meters squared.

Answer:

b

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

[tex]-5x+\frac{8x}{4}[/tex]

[tex]-5(-2)+\frac{8(-2)}{4}[/tex]

[tex]10+\frac{-16}{4}[/tex]

[tex]10-4[/tex]

= 6

Answer:

2

Step-by-step explanation:

absolutly sure

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Radioactive decay.

N(t) = 72(1/2)^22/11

==> N(t) = 72 (1/2)^2

==> N(t) = 72/4

==> N(t) = 18 grams.

So the remaining would be 18 grams.

Answer:

I speak english srry

Step-by-step explanation:

Answer:

146

Step-by-step explanation:

angle AB is an inscribed angle and arc AB is it's intercepted arc

An inscribed angle is equal to half the measure of its intercepted arc

Which means that an intercepted arc is equal to two times the measure of its corresponding inscribed angle

Thus, arc ab = 2(73)

2 * 73 = 146

hence, arc AB = 146

Answer:

mAB = 146°

Step-by-step explanation:

We can notice that the angle given is an inscribed angle and an inscribed angle is 1/2 the arc it intercepts. We can set up an equation to model the situation:

73° = 1/2(mAB)

mAB = 146°

Answer:

False

Step-by-step explanation: 5x3 is 15 and 25 is greater than 15 so the inequality is false.

Answer:

x= 8/9

Step-by-step explanation:

You must divide 8/21 & 3/7 As a fraction.

Answer:

Uh, sure! :)

Step-by-step explanation:

Answer:

Tim has 64 dollars. I did the math and I know I'm right

Answer: 25 Gallons

Step-by-step explanation:

My answer is correct because, if were just finding out how much gallons did both the girls bring then we just have to add 9 plus 16. 9 plus 16 equals 25.

Hope This Helps!

Answer:

Min: 1

Q1: 2.75

Med: 12.5

Q3: 8.25

Max: 19

Step-by-step explanation:

Answer:

x=44 and y=21

Step-by-step explanation:

The large one is x

The small one is y

According to given conditions,

x+y=65[Sum of two number is 65]—Equation(1)

x-23=y [Smaller number is less than 23 than larger]——Equation (2)

From equation (2) we can write,

x-y=23——-Equation(3)

Now adding equation (1) and (3) we get,

x+y+x-y=65+23

=>2x=88

=>2x/2=88/2 [Both sides are divided by 2]

=>x=44

Now putting the values in equation (2) we get,

44–23=y

=>y=21

Large, x=44 and Small, y=21

Answer:

3x*59x=

Step-by-step explanation:

Answer:

126 degrees

Step-by-step explanation:

The opposite angles of a parallelogram are equal, so 4x + 2 = 8x - 50. By subtracting 4x from both sides of this equation, we get that 2 = 4x - 50. Adding 50 to both sides yields 52 = 4x, and dividing by 4 gives us that x = 13.

By substituting this, we see that the measure of angle A is 4(13)+2, which is 54 degrees. Angle B is supplementary to angle A, so its measure is 180-54, which is 126 degrees.

Answer:

[tex]a=12\text{ or } -4[/tex]

Step-by-step explanation:

The distance formula is given by:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

We are given the two points (4, -1) and (a, 5). The distance between them is 10.

Let (4, -1) be (x₁, y₁) and let (a, 5) be (x₂, y₂). Substitute:

[tex]10=\sqrt{(a-4)^2+(5-(-1))^2}[/tex]

Solve for a. Square both sides and simplify:

[tex]100=(a-4)^2+(6)^2[/tex]

Simplify:

[tex]64=(a-4)^2[/tex]

Take the square root of both sides. Since we are taking an even root, we will need plus/minus. Hence:

[tex]\pm\sqrt{64}=\pm8=a-4[/tex]

Solve for a:

[tex]a-4=8\Rightarrow a=12\text{ or } a-4=-8\Rightarrow a=-4[/tex]

So, our two possible points are (12, 5) or (-4, 5).

1 km = 1000 meters.

Find total meters: 80 km x 1000 meters per km = 80,000 meters.

Divide total meters by the given speed:

80,000 meters / 180 m/s = 444.44 seconds.

1 minute = 60 seconds

444.44. Seconds / 60 seconds per minute = 7.41 minutes = 7 minutes 24.42 seconds

Total time = 7 minutes 24.42 seconds

Round as needed.

Answer:

sin A = [tex]\frac{12}{37}[/tex]

Step-by-step explanation:

sin A = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{12}{37}[/tex]