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mina [271]
3 years ago
5

Adult tickets to a play cost $1.75 each and student tickets cost $1.25 each. Suppose there are twice as many student tickets sol

d as adult tickets. If the income from the play was $1,700, how many of each type of ticket were sold?
Mathematics
1 answer:
nikitadnepr [17]3 years ago
8 0

Answer: the number of adult tickets sold is 400

the number of student tickets sold is 200

Step-by-step explanation:

Let x represent the number of adult tickets sold at the play.

Let y represent the number of student tickets sold at the play.

Adult tickets to a play cost $1.75 each and student tickets cost $1.25 each. If the income from the play was $1,700, it means that

1.75x + 1.25y = 1700 - - - - - - - - - -1

Suppose there are twice as many student tickets sold as adult tickets. This means that

y = 2x

Substituting y = 2x into equation 1, it becomes

1.75x + 1.25 × 2x = 1700= 1700

1.75y + 2.5y = 1700

4.25y = 1700

y = 1700/4.25 = 400

x = y/2 = 400/2 = 200

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an angle measures 24° less than the measure if a supplementary angle . what is the measure of each angle​
vagabundo [1.1K]

Hey there!

If two angles are supplementary, that means that the measures of the two angles have a sum of 180.

If the two angles were of equal measure, they would both be 90 degrees.

The easiest way to get this would be to subtract 12 degrees from one 90 degree angle and add them to the other 90 degree angle so one angle has 24 more degrees then the other.

90 - 12 = 78

90 + 12 = 102

Let's check to make sure this works.

102 + 78 = 180 That checks out.

102 - 24 = 78 That also works.

So, the measures of the angles are 102 and 78.

Hope this helps!

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3 years ago
a ladder is leaning against a wall. The ladder reaches 6 ft high on the wall and the base from the ladder is 2 ft from the wall
Katyanochek1 [597]
Ok the ladder and the ground will make a right triangle/right angle. This is because the ground is flat, the wall is straight and only the ladder is leaning/slanted. I hope this helps.
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3 years ago
Read 2 more answers
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS 10 POINTS
KATRIN_1 [288]

1st question

Answer: y = 200x

y = 400

x = 2

400 = 200*2

2nd question

Answer: y = 2x

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8 0
2 years ago
Consider two people being randomly selected. (For simplicity, ignore leap years.)
inna [77]

Answer:

(a) = \frac{144}{133225} \\\\(b) = \frac{1}{365}

Step-by-step explanation:

Part (a) the probability that two people have a birthday on the 9th of any month.

Neglecting leap year, there are 365 days in a year.

There are 12 possible 9th in months that make a year calendar.

If two people have birthday on 9th; P(1st person) and P(2nd person).

=\frac{12}{365} X\frac{12}{365}  = \frac{144}{133225}

Part (b) the probability that two people have a birthday on the same day of the same month

P(2 people selected have birthday on the same day of same month) + P(2 people selected not having birthday on  same day of same month) = 1

P(2 people selected not having birthday on  same day of same month):

= \frac{365}{365} X \frac{364}{365} =\frac{364}{365}

P(2 people selected have birthday on the same day of same month) = 1-\frac{364}{365} \\\\= \frac{1}{365}

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3 years ago
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Answer: line 2


Explanation: hope this helps
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