Out of the following choices given, if the liquid drips at the rate of 12 cubic inches per minute, it will take approximately 3.14 minutes for all the liquid to pass through the nozzle. The correct answer will be D.
Answer:
a)£21.80
b) 3 trips
Step-by-step explanation:
The cost of an adult is $10.
A child’s ticket is $6.
FAMILY DISCOUNT CARD
- 45% off all adults tickets
- Children save 2/5 off of full price tickets
a) How much will it cost to buy 2 adult tickets and children’s tickets?
(a)
Adults: 2 × £10 = £20
(45 ÷ 100) x £20 = £9
£20 - £9 = £11
Children: 3 × £6 = £18
2
/5
of £18 = £7.20
£18 - £7.20 = £10.80
Total: £11 + £10.80 = £21.80
b) The cost of a family discount card is $40 per year. How many times in the same year would 2 adults and 3 children need to go before you start to savemoney on the cost of the card?
(b) Cost without discount = £20 + £18 = £38b)
No card
1 trip
1 × £38 = £38
2 × £38 = £76
3 × £ 38 = £114
With card
£40 + (1 × £21.80) = £61.80
2 trips 2 × £38 = £76 £40 + (2 × £21.80) = £83.60
3 trips 3 x £38 = £114 £40 + (3 × £21.80) = £105.40
3 trips before the discount card starts being cheaper than regular price
Carter's song played on 7 commercials and 5 movies.
Step-by-step explanation:
Earning per commercial = $50
Earning per movie = $130
Total earned = $1000
Total commercial and movies = 12
Let,
x be the number of commercials
y be the number of movies
According to given statement;
x+y=12 Eqn 1
50x+130y=1000 Eqn 2
From Eqn 1
x=12-y Eqn 3
Putting value of x from Eqn 3 in Eqn 2

Dividing both sides by 80

Putting y=5 in Eqn 1

Carter's song played on 7 commercials and 5 movies.
Keywords: linear equation, substitution method
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Answer:
D is the correct answer
Step-by-step explanation:
5 feet converted to centimeters would be 152.4 cm.