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yan [13]
3 years ago
5

Jason purchased 2 popcorns and 3 soft drinks for a total of $23. Ann purchased 3 popcorns and 4 soft drinks for a total of $32.5

0. How much does the popcorn cost?
Mathematics
2 answers:
GaryK [48]3 years ago
6 0

popcorn cost $5.50 and the soft drinks cost $4

dybincka [34]3 years ago
3 0

Answer:

Popcorn is $5.50; soft drinks are $4.00

Step-by-step explanation:

popcorn=p

soft drinks=s

set up a system of equations for both people

2p+3s=23

3p+4s=32.50

multiply the top equation by 3 and the bottom equation by 2 to get

6p+9s=69

6p+8s=65

subtract the bottom equation from the top equation

(6-6)p +(9-8)s=(69-65)

s=4

plug in 4 for s in either equation

2p+3(4)=23

2p+12=23

2p=11

p=5.50

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Svetradugi [14.3K]
Ray should buy the first one because it has the greater volume by 1,440 square inches.
Tank 1: 20x20x18=7,200
Tank 2: 40x12x12=5,760
7,200-5,760=1,440
4 0
3 years ago
Read 2 more answers
You and some friends have $30. You want to order large pizzas (p) that are $9 each and drinks
DochEvi [55]
Given:
Budget = $30
cost of pizza = $9
cost of drinks = $1
number of pizza = p
number of drinks = d

pizza and drinks should only be equal to or less than the budget of $30.

$9p + $1d <u>< </u>$30

unit cost of pizza :          9 
unit cost of drinks :         1
total cost of set (p & d) 10

pizza = 9/10 x 30 = 27 total cost of pizza
drinks =1/10 x 30 =   3 total cost of drinks

27 ÷ 9 = 3 number of pizzas to order 
  3 ÷ 1 = 3 number of drinks to order

To check:

9p + 1d <u>< </u>30
9(3) + 1(3) <u>< </u>30
27 + 3 <u>< </u>30
30 <u>< </u>30
6 0
3 years ago
How do you do this question?
Molodets [167]

Answer:

C. y₂ = (1 + (t/n))²

Step-by-step explanation:

yₙ₊₁ = yₙ + Δt F(tₙ, yₙ)

yₙ₊₁ = yₙ + Δt yₙ

yₙ₊₁ = yₙ + (t/n) yₙ

When n=0:

y₁ = y₀ + (t/n) y₀

y₁ = 1 + (t/n)

When n=1:

y₂ = y₁ + (t/n) y₁

y₂ = 1 + (t/n) + (t/n) (1 + (t/n))

y₂ = 1 + (t/n) + (t/n) + (t/n)²

y₂ = 1 + 2(t/n) + (t/n)²

y₂ = (1 + (t/n))²

4 0
3 years ago
Francis went to the sporting goods store and spent $75.15 on 6 items.
MArishka [77]

Answer:

$6.03

Step-by-step explanation:

The question is asking us how much each pair of socks cost. With the information we are given, we know that there are 5 pairs and that they all cost the same amount. If the total were just the 5 socks, we could easily divide the total by 5 to get the price of each pair but that's not the case. The soccer ball is included in the final cost. To overcome this, we just have to subtract the soccer ball's cost ($45) from the total.

So we subtract $45 from $75.15, giving us $30.15, the total amount of all the socks. However we need to find out how much each pair costs and there are 5 of them, so we divide 30.15 by 5. This gives us the answer, $6.03.

Each pair of socks cost $6.03.

Simpler Explanation:

  • $75.15 - $45 = $30.15
  • $30.15 / 5 = $6.03

The answer is $6.03

5 0
3 years ago
600g of 20% of the normal price of £5
max2010maxim [7]

Answer:

Step-by-step explanation:

600g of 20%

100 - 20 = 80

600 = 80%

/80%

7.5 = 1%

x100

750 = 100%

£750

Sorry I don’t know what else to write. Hopefully, this guarantees you a mark.

7 0
3 years ago
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