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OleMash [197]
3 years ago
11

PERSON WHO GETS THIS RIGHT WILL GET A LOTTT OF POINTS 60+

Mathematics
1 answer:
jarptica [38.1K]3 years ago
5 0

Answer:

See below.

Step-by-step explanation:

a.

x = cost of adult ticket

y = cost of student ticket

cost of adult ticket is twice the cost of a student ticket

x = 2y

number of adult tickets = 64

number of student tickets = 132

cost of all adult tickets = 64x

cost of all student tickets = 132y

cost of all adult and student tickets combined: 64x + 132y

cost of all adult and student tickets combined: 1040

This gives us the equation:

64x + 132y = 1040

b.

Use substitution to solve the system of equations. Since x = 2y, where you see x in the second equation, substitute it with 2y.

64(2y) + 132y = 1040

128y + 132y = 1040

260y = 1040

y = 1040/260

y = 4

x = 2y = 2(4) = 8

adult ticket: $8

student ticket: $4

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At Cindy’s birthday each guest will get two-third of a medium sized pizza. There will be 9 people at the party, including Cindy.
Ipatiy [6.2K]

Answer:

6

Step-by-step explanation:

9 x 2/3 = 6

8 0
2 years ago
Which could you use to prove triangle AED is congruent to triangle CEB?
Hunter-Best [27]

Answer:

Option (C)

Step-by-step explanation:

Given:

In right triangles ΔAED and CEB,

m∠AED = m∠CEB = 90°

DE ≅ BE

AD ≅ BC

To prove:

ΔAED ≅ ΔCEB

                    Statements                         Reasons

1). m∠AED = m∠BC = 90°              1). Given

2). DE = BE                                     2). Given

3). AD = BC                                    3). Given

4). ΔAED ≅ ΔCEB                          4). By HL theorem of congruence

Option (C) is the answer.

4 0
3 years ago
5. Which of the following equations is in standard form?
goldfiish [28.3K]

Answer:

the answer is B

Step-by-step explanation:

3 0
2 years ago
Parking spaces at a business school are arranged by a random monthly lottery. there are 3 spaces for every 10 students who want
Alexus [3.1K]

27.034%  
Let's define the function P(x) for the probability of getting a parking space exactly x times over a 9 month period. it would be: 
P(x) = (0.3^x)(0.7^(9-x))*9!/(x!(9-x)!)  
Let me explain the above. The raising of (0.3^x)(0.7^(9-x)) is the probability of getting exactly x successes and 9-x failures. Then we shuffle them in the 9! possible arrangements. But since we can't tell the differences between successes, we divide by the x! different ways of arranging the successes. And since we can't distinguish between the different failures, we divide by the (9-x)! different ways of arranging those failures as well. So P(4) = 0.171532242 meaning that there's a 17.153% chance of getting a parking space exactly 4 times. 
Now all we need to do is calculate the sum of P(x) for x ranging from 4 to 9.

So
 P(4) = 0.171532242
 P(5) = 0.073513818
 P(6) = 0.021003948
 P(7) = 0.003857868
 P(8) = 0.000413343
 P(9) = 0.000019683
  And
 0.171532242 + 0.073513818 + 0.021003948 + 0.003857868 + 0.000413343
+ 0.000019683 = 0.270340902 
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5 0
3 years ago
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
andre [41]

Answer:

7 feet

Step-by-step explanation:

Pythagorean theorem

sqrt(4.5^2 + 5.3^2) = hypotenuse

sqrt(48.34) = hypotenuse

6.95269732 = hypotenuse

round to nearest tenth

7 feet = the length of the hypotenuse

5 0
3 years ago
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