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rosijanka [135]
3 years ago
6

Mario buys tickets for either 47 or 57 dollars. He purchases 14 tickets and spends 738 dollars. How many tickets did he purchase

at each price?
Mathematics
1 answer:
Ivanshal [37]3 years ago
7 0

Answer:

6 tickets were purchased at $47

8 tickets were purchased at $57

Step-by-step explanation:

Let the tickets purchased at $47 be x

Let the tickets purchased at $57 be y

We can form an equation from the question given which will be:

x + y = 14 ....... i

47x + 57y = 738 ........ ii

From equation i

x = 14 - y ........ iii

Substitute iii into ii

47x + 57y = 738

47(14-y) + 57y = 738

658 - 47y + 57y = 738

Collect like terms

-47y + 57y = 738 - 658

10y = 80

y = 80/10

y = 8

8 tickets were purchased at $57

Note that from i

x + y = 14

x + 8 = 14

x = 14 - 8

x = 6

6 tickets were purchased at $47

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in triangle PQR the measure of angle R=90, QP=73, RQ=55, and PR=48. what is the value of the sine of angle P to the nearest Hund
alexandr402 [8]

Answer:

P ≈ 48.89°(nearest hundredth)

Step-by-step explanation:

The triangle PQR forms a right angle triangle since angle R is 90°. The triangle has an hypotenuse , adjacent and opposite side.

Using the SOHCAHTOA principle one can find the sine ratio of angle P. Let us designate where each side represent.

opposite side(QR) = 55

adjacent side(PR) = 48

hypotenuse(PQ) = 73

sin P = opposite/hypotenuse

sin P = 55/73

P = sin⁻¹ 55/73

P = sin⁻¹ 0.75342465753

P = 48.8879095605

P ≈ 48.89°(nearest hundredth)

5 0
3 years ago
How can factors help you find a common denominater? <br>PLEASE HELP!!!!!!!!!
Gekata [30.6K]
They can help you find a common denominator by the bottoms of each fraction if the top ones don't have the same denominator.
8 0
4 years ago
1. Two dice are thrown at the same time . What is the probability that the sum will be 7 or 11 ?
netineya [11]

Answer:

1. 0.2222222

2. .6667

Step-by-step explanation:

for question 1

there can only be 36 outcomes so you find out how many time you could get 7and2 which is 8 from so u write 8.36=.2222

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3 years ago
Read 2 more answers
When a = 6 and b = 22, C = 33. If c varies directly with b and inversely with a, which equation models the situation?
S_A_V [24]

Step-by-step explanation:

C=b/a

c=kb/a

where as k is the constant

c=kb/a

we substitute

33=22k/6

crossed multiply

33*6= 22k

198=22k

we divide both sides by 22

198/22=22k/22

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3 years ago
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