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Eduardwww [97]
3 years ago
11

a local community theather 240 tickets for Saturday nights performance they sold 180 more st full price then the discount ticket

s which system of equations can be used to model the situation
Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
3 0

Question:

The local community theater sold a total of 240 tickets for Saturday night’s performance. They sold 180 more full-price tickets than discount tickets. Which system of equations can be used to model this situation?

Answer:

x = 180 + y

x + y = 240

Step-by-step explanation:

Given

Tickets = 240

Represent the number of full price with x and discounted price with y.

From the question:

x = 180 more than y

So:

x = 180 + y

Also, a total of 240 were sold.

So:

x + y = 240

Hence, the equations are:

x = 180 + y

x + y = 240

Solving further;

Substitute 180 + y for x in x + y = 240

180 + y + y = 240

180 + 2y = 240

Solve for 2y

2y = 240 - 180

2y = 60

Divide through by 2

y = 30

Recall that: x = 180 + y

x = 180 + 30

x = 210

Hence:

<em>Full Price = 210</em>

<em>Discounted = 30</em>

<em />

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Divide 8 by 9

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4 0
3 years ago
What’s the probability of getting each card out of a deck?
VMariaS [17]

Answer:

a. 1/13

b. 1/52

c. 2/13

d. 1/2

e. 15/26

f. 17/52

g. 1/2

Step-by-step explanation:

a. In a deck of cards, there are 4 suits and each of them has a 7. Therefore, the probability of drawing a 7 is:

P(7) = 4/52 = 1/13

b. There is only one 6 of clubs, therefore, the probability of drawing a 6 of clubs is:

P(6 of clubs) = 1/52

c. There 4 fives (one for each suit) and 4 queens in a deck of cards. Therefore, the probability of drawing a five or a queen​​​​​​​​​​​ is:

P(5 or Q) = P(5) + P(Q)

= 4/52 + 4/52

= 1/13 + 1/13

P(5 or Q) = 2/13

d. There are 2 suits that are black. Each suit has 13 cards. Therefore, there are 26 black cards. The probability of drawing a black card is:

P(B) = 26/52 = 1/2

e. There are 2 suits that are red. Each suit has 13 cards. Therefore, there are 26 red cards. There are 4 jacks. Therefore:

P(R or J) = P(R) + P(J)

= 26/52 + 4/52

= 30/52

P(R or J) = 15/26

f. There are 13 cards in clubs suit and there are 4 aces, therefore:

P(C or A) = P(C) + P(A)

= 13/52 + 4/52

P(C or A) = 17/52

g. There are 13 cards in the diamonds suit and there are 13 in the spades suit, therefore:

P(D or S) = P(D) + P(S)

= 13/52 + 13/52

= 26/52

P(D or S) = 1/2

6 0
3 years ago
Plss answer it correctly...I need asap​
lina2011 [118]

Answer:

sorry I cannot understand that

4 0
2 years ago
Please help me. Thanks.
never [62]

REPOST IT A BIT CLEARER sorry i was on caps and im to lazy to elete what i wworte and repost it

8 0
3 years ago
Read 2 more answers
**PLEASE HELP**
Sav [38]
Your answer would be "D", because when finding the GCF of a term, you want to take the most out of it. Following the procedure of D, finding the greatest shared factor of 10 and 15 and the greatest shared power between exponent 2 and exponent 3, would allow you to find the GCF.
8 0
3 years ago
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