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balandron [24]
3 years ago
8

Julie and her family go to the movies. They buy 2 adult tickets and 3 child tickets. An adult ticket costs $3.50 more than a chi

ld ticket. Julie's family spends $35.75. How much is the cost of a child ticket?
Mathematics
1 answer:
solniwko [45]3 years ago
4 0

Answer:

$5.75

Step-by-step explanation:

First we will make an equation. We will put child tickets as x, and adult tickets as x+3.50. =

2x+7+3x=35.75=

5x=28.75

x=5.75

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The original value of a car is $18,000, and it depreciates (loses value) by 15% each year. What is the value of the car after th
Sliva [168]
A reduction of 15% per year means 100-15=85% reducing factor.
1st year: 0.85×18000=$15300.
2nd year: 0.85×15300=$13005.
3rd year: 0.85×13005=$11054.25.
So after 3 years the value of the car is $11054.25 or $11054 to the nearest dollar.
6 0
3 years ago
The first term of an arithmetic sequence is -5, and the tenth term is 13.
Leokris [45]

Answer:

Step-by-step explanation:

Let d be the common difference.

a₁₀ = a₁ + (10-1)d

13 = -5 + 9d

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5 0
3 years ago
Kyle gave 2/7 of his money to his wife and spent 4/5 of the remainder. If he had $300 left, how much money did he have at first?
densk [106]

Answer:

$5,250

Step-by-step explanation:

2/7x - [4/5(2/7x)] = 300

2/7x - 8/35x = 300

10/35x = 8/35x = 300

2/35x = 300

2x = 10500

x = 5250

6 0
3 years ago
The mean of 5 scores is 75, four of the numbers are 60, 70, 80, & 85. What is the 5th score?
Ainat [17]

Answer:

80

Step-by-step explanation:

Your 4 given numbers equal 295. 5x75 is 375. So take 375-295 and you get 80, your 5th number.

8 0
3 years ago
A painter is placing a ladder to reach the third story window, which is 12 feet above the ground and makes an angle of 80 degree
mash [69]
We know that
tan ∅=opposite side angle ∅/adjacent side angle ∅
adjacent side angle ∅=opposite side angle/tan ∅

in this problem
see the attached figure to better understand the problem
angle ∅=80°
opposite side angle ∅=12 ft  (AB)
adjacent side angle ∅=? (AC)
adjacent side angle ∅=12/tan 80°------> 2.12 ft

the answer is
2.12 ft

3 0
4 years ago
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