MATHEMATICS HIGH SCHOOL

a movie theater charges $6 for a ticket to a matinee and $10 for a ticket to an evening show. last week on tuesday a total of 130 tickets were sold, with the total income amounting to $1120. how many tickets to a matinee were sold?

Answers

Answer 1
Answer:

Answer:

45 tickets for the matinee were sold

Step-by-step explanation:

let m represent the number of matinee tickets sold and

let e represent the number of evening tickets sold.

Create a system of equations and solve for m

m + e = 130 → (1) ( total ticket sales )

6m + 10e = 1120 → (2) ( income from tickets sold )

multiplying (1) by - 10 and adding the result to (2) will eliminate e

- 10m - 10e = - 1300 → (3)

add (2) and (3) term by term to eliminate e

(6m - 10m) + (10e - 10e) = 1120 - 1300

- 4m + 0 = - 180

- 4m = - 180 ( divide both sides by - 4 )

m = 45

the number of matinee tickets sold was 45

Related Questions

A customer buys five cans of baked beans, four pocket of brown sugar and two pockets from the supermarket. He gives the cashier 150 and gets 26 in change, a can of baked beans costs half as much as pocket of biscuits whilst a packet of sugar is three rand cheaper than a packet of biscuits.1. how much did all items cost 2. calculate the cost of a can of baked beans, sugar, and biscuits 3. How much will eight cans of baked beans, one packet of sugar and six pockets of biscuits cost?
What is the sum? 2/13 + 5/13 a. 10/169 b 7/26 c 7/13 d 10/13
(you have 30 seconds pause video if you need to)take 1000 and add 40 to it.now add another 1000. now add 30. add another 1000.Now add 20 now add another 1000. now add 10.what is the total?
Need help with this question
Reminders? What’s the answer:)

Han has 130$ if she saved 25$ per week in how many weeks will she have 600$

Answers

In 19 weeks this would mean she would have 5 dollars over the amount needed but there can't be half of a week.
She would have 5 dollars over the amount

(9 – 6i) × m = 9 – 6i What is m?

a. 0

b. 1

c. 9 + 6i

d. -9 + 6i

Answers

An equation is formed of two equal expressions. In the given equation (9–6i)×m = 9–6i, the value of m is 1.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

In the given equation (9–6i)×m = 9–6i, the value of m can be found as,

(9–6i)×m = 9–6i

Divide both the sides of the equation by (9–6i),

((9-6i)* m )/((9-6i))= ((9-6i))/((9-6i))\n

m = 1

Hence, In the given equation (9–6i)×m = 9–6i, the value of m is 1.

Learn more about Equation:

brainly.com/question/2263981

#SPJ2
B) 1 because anything times one equals that same number and so 9-6ix1=9-6i
I hope this helped

What is a trapezium?

Answers

A type of quadrilateral (for geometry) or bone in the wrist (anatomy).
A trapezium is  a type of a quadrilateral. 

Is 5 - (-3) equal to 8 or -2. And if one or the other, please state why one is correct and the other isn't.

Answers

8

two negatives make a postive as they cancel each other out

5 - - 3 = 5 + 3 = 8

the only way the answer could be - 2 is if the original question said 5 + - 3 = - 2

Can someone please help me with this trig question.For a given right triangle, side a = 76.4 feet and side b = 39.3 feet What is the length of side c to the nearest tenth of a foot?

Answers

Let 76.4 be the longestest side. ( hyportinues)
Let 39.3 be the base of right triangle.

so we have to find the adjacent side of right side.
 By Pythagoras Theorem.
 76.4² = c² + 39.3²
c² = 76.4² - 39.3²
c² = 4261.95
c = √4261.95
c = 65.3 feet
 

How do I solve 3x-7=5x+13

Answers

3x-7=5x+13\ \ |+7 \n \n3x-7+7=5x+13+7\n \n3x=5x+20 \ \ |(-5x)\n \n3x-5x=5x-5x+20 \n \n-2x=20 \ \ / :(-2)\n \n x=-(20)/(2)\n \nx= -10
3x-7=5x+13
   -13     -13
___________

3x-20=5x
-3x    -3x
__________

-20 = 2x
-20 divided by 2
x = -10
Other Questions
Ex 2.68. find the stationary points on the curve y=3x^4 -4x³ -12x² +1 and determine whether they are maximum or minimum turning points
how many liters of a 20% alcohol solution should be mixed with a 50 liters of a 60% alcohol solution to obtain a 30% solution?
N triangle xyz, m∠z > m∠x m∠y. which must be true about △xyz?
A wheel of radius 10 cm is turning at a rate of 5 revolutions Calculate: the distance moved by a point on the rim in 2 seconds