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Cerrena [4.2K]
4 years ago
8

Solve each system of equations using the elimination method. check the solution.

Mathematics
1 answer:
Blababa [14]4 years ago
4 0
5. the answer is (x,y) = (-1,5)

6. the answer is (x,y) = (0,2)

7. the answer is (x,y) = (-2,1)

8. the answer is (x,y)= (5,0)
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A movie theater charges $15 for standard viewing, $20 for 3D viewing, and $35 for Dinner and a
Ludmilka [50]

The quantity of each type of seats sold are as follows:

  • Standard viewing = 2000

  • 3D seats = 800

  • Movie and a dinner seat = 200

According to the question,there are four times as many 3D, x seats as Dinner and a Movie, y seats.

That is, x = 4y

Also, total seats

= (x) + (y) + (z) = 3000...….............eqn(1)

Also, If the theater brings in $53,000 when tickets to all 3000 seats are sold.

  • 20x + 35y + 15z = 53000...........eqn(2)

By substituting 4y for x in equations 1 and 2; we have;

<em>5y + z = 3000</em>..…........eqn(3) and

<em>115y + 15z = 53000</em>.........eqn(4)

By solving equations 3 and 4 simultaneously; we have;

y = 200 and z = 2000

and since x = 4y

x = 800

The quantity of each type of seats sold is as follows:

  • Standard viewing = 2000

  • 3D seats = 800

  • Movie and a dinner seat = 200

Read more:

brainly.com/question/12413726

5 0
3 years ago
A volcano in the approximate shape of a cone has a diameter of 16 km and a height of 1.95 km.
makkiz [27]
The answer should be 130km^2
3 0
3 years ago
Read 2 more answers
A bag contains 9 cards numbered 1 through 9. A card is randomly chosen from the bag. What is the probability that the card has a
____ [38]
5/9. there are 5 odd cards in the deck.
3 0
3 years ago
Read 2 more answers
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Taya2010 [7]

Answer:

The distribution is <u>positively skewed</u>.

Step-by-step explanation:

It's not symmetric because the distribution in the chart isn't equally shown or marked. It's not negative skewed either because for it to be negative the graph would have to go down in a negative direction, usually the left, but in the picture you posted the graph is going down in the right direction. Lastly, positively skewed graphs or charts look like the one you posted. They go down in the right direction, hence why they're called "positively" skewed. The right tail of the distribution is longer in positively skewed graphs or charts.

4 0
3 years ago
What is 3/4÷1/2??????​
sergiy2304 [10]

Answer:

3/2

Step-by-step explanation:

to divide fractions you just have to multiply them by the reciprocal.

so, instead of 3/4 divided by 1/2

it's changed to 3/4 * 2/1

then you just multiply the numerators together and the denominators together

3*2/4*1

6/4

3/2

3/2

Goodluck with your schoolwork/homework.

---------------------------------------------------------------

apologies in advance for any errors or bad explanations.

3 0
3 years ago
Read 2 more answers
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