the spring musical sold student tickets for $8 and adult tickets for $10. there were 130 tickets sold for a total of $1198. how many student tickets were sold?

Answers

Answer 1

Answer: x=number of student tickes
y=number of adult tickets

total cost=8x+10y=1198
x+y=130
multipy second eatuion by -10 and add to first

-10x-10y=-1300
8x+10y=1198 +
-2x+0y=-102

-2x=-102
divide both sides by -2
x=51

51 student tickets sold

Answer 2

Answer: Okay, so the equation can be written as:

where x is number of student tickets, and y is adult tickets

8x + 10y = 1198

x + y = 130

Lets solve for x,

x = 130-y

Put value of x in first equation:

8 (130-y) + 10y = 1198

1040 - 8y + 10y = 1198

1040 + 2y = 1198

2y = 158

y = 79

Since we have to find student tickets, we will write:

x + 79 = 130

x = 51

So 51 student tickets were sold.

Related Questions

Hailey simplified the expression (12xy74x4y3)2 using the following steps:Step 1: (3x−3y4)2Step 2: 3x−6y8Step 3:3y8x6Did Hailey correctly simplify the expression?A Yes, Hailey correctly simplified the expression.B No, in Step 1, Hailey should have added the exponents instead of subtracting them.C No, in Step 2, Hailey should have squared each exponent value instead of multiplying each value by 2.D No, in Step 2, Hailey should have also multiplied the exponent of the coefficient by 2 to get 32.
F(x)=2-3xEvaluate f(0) A. -3 B. 5 C. 2 D. - 1 Which ordered pair is the turning point of the graph of f(x)= |x-4|? A. (4,0) B. (-4,0) C. (0,4) D. (0, -4)
12.Last year, the average math SAT score for students at one school was 475. The headmaster then introduced a new teaching method hoping to improve scores. This year, the mean math SAT score for a sample of students was 491. The headmaster concluded that the new teaching method produces higher SAT scores. What is the problem with reporting results this way? correlation and causality voluntary response missing data loaded question
Distances in space are measured in light-years. The distance from Earth to a star is 4.1 × 1013 kilometers. What is the distance, in light-years, from Earth to the star (1 light-year = 9.46 × 1012 kilometers)?0.23 light-year 2.36 light-years 4.33 light-years 5.36 light-years
Q:What is the indicated term of the arithmetic sequence? someone help!!!! a14 for 200,196,192... A: a. 148 b. 252 c. 144 d. 239

Dixon and his little sister Ariadne stand next to each other on the playground on a sunny afternoon. Their mother measures their shadows. Dixon's shadow is 18 feet long and Ariadne's shadow is 15 feet long. If Dixon is 6 feet tall, how tall is Ariadne?

Answers

Ariadne is 5 feet tall because 18 is 6x3 which would mean you would have to divide 15 by three to get the answer which is 5.

She would be 5ft tall because if you set the problem up in a ratio and cross multiple and divide 5 is your answer

Solve the following by substitution : -

x + y = 10
x - y = 5

Answers

$\begin{cases} x + y = 10 \n x - y = 5 \end{cases}\n \n \begin{cases} y = 10 -x\n x - y = 5 \end{cases}\n \n \begin{cases} y = 10 -x\n x - (10-x) = 5 \end{cases}\n \n \begin{cases} y = 10 -x\n x - 10+x = 5 \end{cases}\n \n$

$\begin{cases} y = 10 -x\n 2x - 10 = 5 \end{cases}\n \n\begin{cases} y = 10 -x\n 2x = 5 +10 \end{cases}\n \n \begin{cases} y = 10 -x\n 2x =15 \ \ /:2 \end{cases}\n \n \begin{cases} y = 10 -x\n x =(15)/(2) \end{cases}\n \n$

$\begin{cases} y = 10 - 7(1)/(2)\n x =7(1)/(2) \end{cases}\n \n \begin{cases} y = 2(1)/(2)\n x = 8(1)/(2) \end{cases}\n \n$

Your question is -

x + y = 10
x - y = 5

Now, let us solve this system by the substitution method.

According to equation 2 ,

x - y = 5

thus, x = 5 + y

Substituting the value of x in equation 1,

(5 + y) + y = 10

5 + 2y = 10

2y = 10 - 5 = 5

thus, y = 5/2

Substituting the value of y in value of x,

x = 5 + y

= 5 + 5/2

= 15/2

Thus, x = 15/2 ( or 7.5) y = 5/2 ( or 2.5)

1. You can finish 9 math problems in 20/3 minutes. What is your unit rate of problems per minute?2. Josie can solve 4/3 rubix cubes in 1/6 of an hour. How many rubix cubes can she solve in one hour?
3. Juan can ride his bike 19.3 miles in 5/3 of an hour. what is the unit rate riding speed
4. Rakelle bought 12/7 pounds of oranges for $2.43. What is the unit rate for her buying oranges? (Write answer as a dollar amount.)
5. Tyler can eat 2/3 of a bag of chips in 6/5 minutes. What is his unit rate for eating chips?

Answers

Where is the question to this or is this the answer

Answer:

lllllllllll

Step-by-step explanation:

If parallelogram JKLM is rotated 270 clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the imagine parallelogram?

Answers

Answer:

Step-by-step explanation:

I think you missed attaching the photo of the parallelogram JKLM and here it is in my answer

When rotating a point 270° clockwise or 90°clockwise around the origin, we apply the rule (x, y) → (-y, x).

Look at the photo, we can see the coordinate of the point

J (-6, 2)

M = (-5, -1)

So apply the rule, after the rotation, the new co-ordinates will be:

J = (-2, -6)

M = (1, -5)

Answer: A j(-2, -6) and M(1,-5)

Step-by-step explanation:

What is (2x-3) squared?

Answers

(2x - 3)² (squared) simplifies to 4x² - 12x + 9.

The Breakdown

(2x - 3)² = (2x - 3) × (2x - 3)

Using the FOIL method, which stands for First, Outer, Inner, Last, you multiply the terms as follows

First: (2x) × (2x) = 4x²

Outer: (2x) × (-3) = -6x

Inner: (-3) × (2x) = -6x

Last: (-3) × (-3) = 9

Collect the like term

4x² - 6x - 6x + 9

4x² - 12x + 9

(2x -3)²= 4x² - 12x + 9.

Learn more about square of number here

brainly.com/question/27307830

#SPJ6

$4x^2-12x+9$
Use the formula $(a+b)^2=a^2+2ab+b^2$ .

Ex 2.8
3. find the maximum value of y for the curve y=x^5 -3 for -2≤x≤1

Answers

$y=x^5-3\n y'=5x^4\n\n 5x^4=0\n x=0\n 0\in [-2,1]\n\n y''=20x^3\n\ny''(0)=20\cdot0^3=0$

The value of the second derivative for $x=0$ is neither positive nor negative, so you can't tell whether this point is a minimum or a maximum. You need to check the values of the first derivative around the point.
But the value of $5x^4$ is always positive for $x\in\mathbb{R}\setminus \{0\}$ . That means at $x=0$ there's neither minimum nor maximum.
The maximum must be then at either of the endpoints of the interval $[-2,1]$ .
The function $y$ is increasing in its entire domain, so the maximum value is at the right endpoint of the interval.

$y_(max)=y(1)=1^5-3=-2$

Other Questions

Solve the equation 1/2y+3/4=8

49 to the power of 1/2 in radical form

Given: -7x < -21. Choose the solution set.

HELP ASAP ILL GIVE A THANKS AND BRAINLIEST Which combined inequality has the same solution set shown in the graph of x?–3 x ≥ –1–3 ≤ x > –1