For the high school's production of "Grease," 315 tickets were sold. The cost of a student ticket, s, was $5; the cost of all other tickets, t, was $8. The total income from ticket sales equaled $2211. The system of equations below can be used to determine the number of each type of ticket sold. s+t=315 55 + 8 = 2211 How many student tickets were sold?​

Answer:

The numbers 'x' and 'y' are:

[tex]x=56,\:y=36[/tex]

Step-by-step explanation:

Let 'x' and 'y' be the two numbers

As the sum of the two numbers is 92.

so

[tex]x+y = 92[/tex]

Given that One-eighth of the larger number plus one-third of the smaller number is 19.

so

[tex]\frac{1}{8}x\:+\:\frac{1}{3}y=19[/tex]

now solving both equations to determine the numbers 'x' and 'y'.

[tex]\begin{bmatrix}\frac{1}{8}x+\frac{1}{3}y=19\\ x+y=92\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}\frac{1}{8}x+\frac{1}{3}y=19\mathrm{\:by\:}8\:\mathrm{:}\:\quad \:x+\frac{8}{3}y=152[/tex]

[tex]\begin{bmatrix}x+\frac{8}{3}y=152\\ x+y=92\end{bmatrix}[/tex]

[tex]x+y=92[/tex]

[tex]-[/tex]

[tex]\underline{x+\frac{8}{3}y=152}[/tex]

[tex]-\frac{5}{3}y=-60[/tex]

[tex]\begin{bmatrix}x+\frac{8}{3}y=152\\ -\frac{5}{3}y=-60\end{bmatrix}[/tex]

solve for y

[tex]-\frac{5}{3}y=-60[/tex]

[tex]-5y=-180[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-5[/tex]

[tex]\frac{-5y}{-5}=\frac{-180}{-5}[/tex]

[tex]y=36[/tex]

[tex]\mathrm{For\:}x+\frac{8}{3}y=152\mathrm{\:plug\:in\:}y=36[/tex]

[tex]x+\frac{8}{3}\cdot \:36=152[/tex]

[tex]x=56[/tex]

Thus, the numbers 'x' and 'y' are:

[tex]x=56,\:y=36[/tex]

Answer:

5

Step-by-step explanation:

Answer:

b (5x+4y=32) is the correct answer

Step-by-step explanation:

if it is parallel then the slop has to be the same which means you can eliminate choices a and c. then, you can plug in the points they give you to see if the statement holds true.

5x+4x

5(12)+4(-7)

60-28

32

therefore, option b is correct

Answer:

I think that it is 74 i did 102-28.

Step-by-step explanation:

hope this is helpful!!;)

Answer:

y-4=3(x-2)

Step-by-step explanation:

y-y1=m(x-x1)

You missed a small portion of the question in the end. If I am not mistaken, I am able to find the complete question which you should have added. Anyways, this would help you clear your concept as I would explain the context.

Here is the complete question:

Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = -8t + 92.

How many minutes would it take the printer to use all 92 sheets of paper?

Answer:

It would take 11.5 minutes for the printer to use all 92 sheets of paper

Step-by-step explanation:

Given:

To determine:

How many minutes would it take the printer to use all 92 sheets of paper?

Given the function

[tex]p(t) = -8t + 92[/tex]

We know that when all the 92 sheets of paper will be printed, there will be no more sheets left to be printed.

Therefore, we need to substitute p(t) = 0 in the given function to determine the value of time in minutes

[tex]0 = -8t + 92[/tex]

[tex]8t = 92[/tex]

Divide both sides by 8

[tex]\frac{8t}{8}=\frac{92}{8}[/tex]

[tex]t=\frac{23}{2}[/tex]

[tex]t = 11.5[/tex] minutes

Answer:

its -9 :)

dmdmonjdnkjdnb

Answer:

-9

Step-by-step explanation:

-14+5 = -9

In equations like this, look at the signs of the numbers and that will tell you what to do. Remember it like this:

"Same signs add and keep. Different signs subtract. Keep the sign of the higher number then you'll be exact"

Answer:

I suggest that you use Socratic to solve this.

Step-by-step explanation:

Answer:

[tex]x=\frac{-3}{2}[/tex]

Step-by-step explanation:

[tex]2 + 4 ( x + 1 ) = 0[/tex]

[tex]2 + 4x + 4 = 0[/tex]

[tex]6 + 4x = 0[/tex]

[tex]4x = -6[/tex]

[tex]x = \frac{-3}{2}[/tex]

Answer:

8x-9y

Step-by-step explanation:

6x+2x=8x, -11y+2y=9y

Hope this helps plz hit the crown :D

Answer:

363 ft.

Step-by-step explanation:

To calculate the base side which is b we use the trigonometric identity called cosine.

[tex]cos \theta=\frac{base}{hypotenuse} \\\\cos25 = \frac{b}{400}\\\\b=400*cos 25\\b=400*0.906\\b=362.5\ ft[/tex]

Since we the answer to the nearest whole number it would be b = 363 ft.

Answer:

16

Step-by-step explanation:

If you add the 26 and 48 you get 74 and then you subtract 74 from 90 since your total needs to be 90 and get your answer of 16

Answer:

3rd

Step-by-step explanation:

Answer:

Exponential decay, 7% decrease

Step-by-step explanation:

Answer:

exactly two factors

Step-by step Explanation:

A prime number is an integer, or whole number, that has only two factors: 1 and itself. Put another way, a prime number can be divided evenly only by 1 and by itself. Prime numbers also must be greater than 1. For example, 3 is a prime number, because 3 cannot be divided evenly by any number except for 1 and 3.

Answer:

3/4 = 0.75 1/3 = 0.3333

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

22 + 4x - 32 < 0

            +32    +32

22 + 4x < 32

-22           -22

2x < 10

divide by 2

x=5

Answer:

1/42

Step-by-step explanation:

1 11/21

Have a Merry Christmas!

Answer:

it's the first answer

Step-by-step explanation:

literally every other answer is ruled out because D is the greatest variable and can't be smaller than anything else

Answer:

1km

Step-by-step explanation:

because ur mom gay

Answer:

The last choice

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

slope m=y2-y1/X2-x1

=6-2/9-5

=4/4= 1

Answer:

B

Step-by-step explanation:

Answer:

I think its B

Step-by-step explanation:

put me as brainliest

Answer:

[tex]\boxed{\sf{-\dfrac{4}{3} }}[/tex]

Step-by-step explanation:

Use the slope formula.

Slope:

[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

[tex]\sf{\dfrac{-4-0}{-2-\left(-5\right)}=\dfrac{-4}{3}=\boxed{\sf{-\dfrac{4}{3} } }[/tex]

Answer:

[tex]slope=\frac{-4}{3}[/tex]

Step-by-step explanation:

Step 1:  Determine the slope

[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]slope=\frac{-4-(0)}{-2 -(-5)}[/tex]

[tex]slope= \frac{-4}{-2 + 5}[/tex]

[tex]slope=\frac{-4}{3}[/tex]

Answer:  [tex]slope=\frac{-4}{3}[/tex]

Answer:

x=4

Step-by-step explanation:

h(x)=-x+4

h(x)-0+4

h(x)=4

Answer:

x = 4

Step-by-step explanation:

Given: [tex]h(x) = - x + 4[/tex]

Solve for x, when: [tex]h(x) = 0[/tex]

◇◇•◇◇

[tex] - x + 4 = 0[/tex]

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

[tex]\boxed{\green{x = 4}}[/tex]

Answer:

multiply it and the answer is x

Step-by-step explanation:

answer x that

Answer: m=2

M stand for measurement

Step-by-step explanation:

(−11,−3);(−6,7)

(x1,y1)=(−11,−3)

(x2,y2)=(−6,7)

Use the slope formula:

m=  y2−y1 /x2−x1

(7−(−3) ) −( 6−(−11) )

= 10 /5

=2

Answer:  m=2

(hope this helps )

Answer:

4.000

Step-by-step explanation: