Band rues charges $950 to play all night.
DJ phoria charges $350 plus $5 for each ticket sold.

Write a linear equation for the cost of the DJ where y = the total cost and x = the number of tickets sold. The equation for the Band is y = 950.
Graph each equation on the same coordinate plane and find the number of tickets for which the cost of the band and the DJ would be equal. Make sure to name and number the axes of your graph. Also, solve the system of equations analytically, showing all work.

Answer:

A. w = 26/2 = -13

B. 3n = 20

     n = 20/3

C. -w = 30

     w = -30

D. -2c = 32

       c = -16

E. 4h = -11

     h = -11/4

F. 3.7x = 7.5

        x = 75/37

Answer:

    x = 75/37

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

If the ratio of the length of the chalkboard to the width is 4:3, this means that the length of this one is 7* 4/3=28/3. This can be rewritten as approximately 9.33 inches, or answer choice B. Hope this helps!

Answer:

21 cm

Step-by-step explanation:

Volume of cone is given by [tex]1/3(\pi r^2h)[/tex]

volume of cylinder is given by [tex]\pi r^2h[/tex]

where r is the radius of base and h is the height

_________________________________

For cone

radius = 42cm

height = 84

volume = [tex]1/3(\pi *42^2*84)[/tex]  (1)

________________________________

For cone

radius = to find let it be r

height =112

volume = [tex]\pi *r^2*112[/tex]  (2)

_______________________________________

since , volume of both solid are same

thus, equation 1 = equation 2

[tex]1/3(\pi *42^2*84) = \pi *r^2*112\\=> r^2 = 1/3((\pi *42^2*84) / 112*\pi \\=> r^2 = 1/3(42*42*84/112) = 441\\=> r = \sqrt{441} \\=> r = 21[/tex]

Thus, radius of cylinder is 21 cm

Answer:

Step-by-step explanation:

16

Answer:

g(-1) = 1

Step-by-step explanation:

g(-1) = (-1)^3 + 6(-1)^2 + 12(-1) + 8

g(-1) = 1

Answer:

0.35 is less than 0.37 because 35 < 37.

Answer:

C is the correct answer

Step-by-step explanation:

Answer:

IQR=8

Step-by-step explanation:

write numbers in ascending order

3 6 9 10 12 13

find the middle, in this case, it's two numbers (10 and 12)

3 6 are on the left, find the middle between them; 3+6/2

4.5

12 and 13 are on the right, find the middle between them;

12+13/2

12.5

IQR=12.5-4.5

Answer:

Because the process by itself will force the numbers to be eventually reduced to an even number whose half is always another even number. For example, if you start taking the number 3, the result will be 10; then, the result of 10 will be 5; then, the result will be 16. When you get 16, the result will be 8, then 4, then 2 and finally 1.

Step-by-step explanation:

Answer:

y = - x + 9

Step-by-step explanation:

Because the line is perpendicular, the slope with be the opposite reciprocal. So, if the slope is 1 as in the equation y = x - 1, the opposite reciprocal is -1.

So the equation that is perpendicular will look like this so far:

y = -x + b   (b represents our y-intercept that we have not found yet)

Now we will find the y-intercept. We can find it by substituting the coordinates (5,4) as x and y into the equation right above ^^.

So,  4 = -(5) +b     or     4 = -5 + b

Add 5 to both sides to isolate b on the right side. b = 9

Therefore, the y-intercept is 9.

Now we have found everything we need for the equation, which is

y = - x + 9

Answer:

Most definitely reciprocal

Answer:

405 students

Step-by-step explanation:

1=teachers

9=students

1=45 teachers

9=y students

 y=9 x 45

 y=405 students

Answer:

[tex]b= \frac{-4}{7} a - \frac{52}{7}[/tex]

Step-by-step explanation:

1st, isolate b.

7b=-4a-52

Next, divide both sides by 7.

b=(-4a/7)-(52/7)

Answer:

It can would be 4

Step-by-step explanation:

When you multiply exponents you add the exponents

so you get 4^10

Complete question;

A booster club paid for pizzas for an  end of season party. They paid $13  for each pepperoni pizza and $11 for  each plain pizza. The club bought a

total of 18 pizzas for the party and  paid a total of $212.

Drag and drop the numbers to the  boxes to create an equation which  models this situation if x = the  number of pepperoni pizzas and y =  the number of plain pizzas bought.

Answer:

13x + 11y = 212

Step-by-step explanation:

They bought 2 different recipe of pizza. The first is the pepperoni pizza and the second kind is the plain pizza. The pepperoni pizza cost $13 each while the  plain Pizza cost $11 each. The total number of pizza bought is 18 in number.

The total cost of the pizza is also $212.

number of pizza bought = 18

total cost of pizza = $212

x = the  number of pepperoni pizzas

y =  the number of plain pizzas

The number of pepperoni pizzas multiply by the cost for each will give the cost of the pepperoni pizzas. This same method is applied to get the cost of the plain pizzas.

Therefore, adding the individual cost of the kinds of pizza will give the total cost of the pizzas.

13x + 11y = 212

Answer:

(a) range = difference between highest

mark and lowest mark

range of marks = 10 - 6

= 4

(b) total students = marks × frequency

(6×5)+(7×4)+(8×7)+(9×10)+(10×4)

= 30+28+56+90+40

= 244 students

(c) total frequency = 5+4+7+10+4

= 30

mean mark = total students/total

frequency

= 244/30

= 8.133

Answer:range-4 , no. of students-30, mean mark is 26

Step-by-step explanation:

Answer:

A, B and E

Step-by-step explanation:

Answer:

y=1/2x-4

Step-by-step explanation

Answer:

C

Step-by-step explanation:

C goes past -1 and almost reaches -2 so you know it will include some sort of fraction.

If you count the tick marks, C is on the 7th tick mark which is the one before -2. This represents 7/8 because 8/8 would be right on -2.

So, C shows -1 and 7/8

9514 1404 393

Answer:

Step-by-step explanation:

1. x +4y = 3.5 . . . . variables are defined in the problem statement

  2x +2y = 4

__

2. Subtract half the second equation from the first.

  (x +4y) -(1/2)(2x +2y) = (3.5) -(1/2)(4)

  3y = 1.5

  y = 0.5

  x = 2 -y = 1.5

The distance from home is 1.5 miles; the distance around the track is 0.5 miles.

__

3. 2x +6y = 2(1.5) +6(0.5) = 3+3 = 6

Avi walked 6 miles on Saturday.

__

4. 2p ≥ 2.5 . . . . variables are defined in the problem statement

  p +q < 3

__

5. No.

  2 + 1 < 3 is NOT TRUE

it's true...........

Answer:

False

Step-by-step explanation:

Verified correct with test results.

Answer:

Multiply 5 to both sides to get

(x+3)^2 = 100

Step-by-step explanation:

Please refer to the picture above.

Simplify the equation by aiming to eliminate the fraction in the right hand side of the equation by multiplying the denominator to both sides of the equation in step 2

Answer:

[tex](x + 3)^{2}[/tex] = 100

Step-by-step explanation:

Answer:

8x^2 + 45/5x

Step-by-step explanation:

write the division as a fraction

3x+ 1/x + 8/x - 7/5x

using a=a/1, convert the expression into a fraction

3x/1 - 7/5x

calculate the product

3x/1 - 7x/5

expand the fraction to get the least common denominator

5 x 3x/ 5 x 1   -  7x/5

multiply the numbers

15x/5   -   7x/5

write all numerators above the common denominator

15x - 7x/5

collect like terms

8x/5

write the factor as a product

8/5 x + 1/x + 8/x

calculate the product

8x/5 + 5 x 1/5x + 5 x 8/5x

expand the fraction to get the least common denominator

X  x  8x/X  x  5 + 5/5x + 5 x 8/5x

multiply the numbers

X  x  8x/X  x  5 + 5/5x + 40/5x

calculate the product

8x^2/5x + 5/5x +40/5x

write all numerators above the common denominator

8x^2 + 5 + 40/5x

add the numbers and that's the answer

8x^2 + 45/5x

(that was l o n g)

Answer: a = (V^2 - v^2)/2s

Step-by-step explanation:

The equation for the final velocity is:

V^2 = v^2 + 2*a*s

where V is the final velocity, v is the initial velocity, a is the acceleration and s is the distance.

Now, we want to solve this formula for a, this would mean isolate a in one side of the equation, this is pretty simple, first we pass subtract v^2 in both sides.

V^2 - v^2 = v^2 + 2*a*s - v^2

V^2 - v^2 = 2*a*s

now we can divide by 2*s in both sides:

(V^2 - v^2)/2s = 2*a*s/2s = a

a = (V^2 - v^2)/2s

Answer:

[tex] - \frac{11}{28} [/tex]

Step-by-step explanation:

[tex] \frac{2}{5} \bigg( - \frac{3}{7} \bigg) - \frac{1}{6} \times \frac{3}{2} + \frac{1}{14} \times \frac{2}{5} \\ \\

= - \frac{6}{35} - \frac{3}{12} + \frac{1}{35} \\ \\

= \frac{1 - 6}{35} - \frac{1}{4} \\ \\

= \frac{ - 5}{35} - \frac{1}{4} \\ \\

= \frac{ - 1}{7} - \frac{1}{4} \\ \\

= \frac{ - 1\times 4-1\times 7}{7\times 4} \\\\

= \frac{ - 4- 7}{28} \\\\

= -\frac{ 11}{28} \\\\

[/tex]

Answer:

2:52 or 1:26 (simplest form)probability.

Answer:

9.6 = BC

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opposite/ adjacent

tan 58 = BC / 6

Multiply each side by 6

6 tan 58 = BC

9.602007174 =BC

Round to the nearest tenth

9.6 = BC

Answer:

BC= 9.6

Hope it helps :)

Answer:

70/100 or 7/10

Step-by-step explanation:

As a percentage 70 percent is 70%.

As a fraction because 70 is out of 100 it would obviously be 70/100 but you can simplify to 7/10 and it is still equal to 70%

Answer:

The Answer is 5

Step-by-step explanation:

Answer:

$512

Step-by-step explanation:

His bank account started at a balance of $124.

He wrote a check, which decreased his balance by $147. His new balance is:

124 - 147 = -$23

Jeremy was then charged an overdraft fee, decreasing his balance by $32. That is:

-23 - 32 = -$55

He deposited a paycheck, which increased his balance by $567. His account balance will become:

-55 + 567 = $512

His account balance after those transactions is $512.

Answer:

[tex]q=\frac{1}{6}p- \frac{1}{2}r[/tex]

Step-by-step explanation:

[tex]p=3(2q+r)[/tex]

[tex]2q+r=\frac{p}{3}[/tex]

[tex]2q=\frac{p}{3} -r[/tex]

[tex]q=\frac{p}{6}- \frac{r}{2}[/tex]