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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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\sqrt[3]{\cfrac{1}{27}}=x+4\implies \cfrac{\sqrt[3]{1}}{\sqrt[3]{27}}=x+4\implies \cfrac{1}{3}=x+4\implies \cfrac{1}{3}-4=x
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4 0
3 years ago
18. A science teacher has a supply of 20% saline solution and a supply of 50% saline solution. How much of each solution should
IRISSAK [1]
<span>44 mL of the 20% solution and 16 mL of the 50% solution  is your answer


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7 0
3 years ago
Pt 2 5-7 please helpp
Keith_Richards [23]

Answer:

x = 12

Step-by-step explanation:

__9x__      =     __108___

   9                          9

x = 12

6 0
3 years ago
Read 2 more answers
Live Fund are selling their holding at $5,000 per share.How much would Live Fund receive it they sold half thier holding in Mark
zhannawk [14.2K]

Live Fund receive \bold{\$2500 A} it they sold half thier holding in Marks Brothers.

<u>Solution:</u>

Given: Sale price of Live Fund holding = 5000 dollar

To find: Amount that Live Fund will get if they sell half of their holding in Marks Brothers.

Assume the total number of shares held by Live Fund in Marks Brothers as A

Therfore, half the holdings (or half the number of shares) of Live Fund will be \frac{A}{2}.

Thus, if each share is valued at \$5000, then the total value of the number of shares sold will be as follows,

\Rightarrow5000\times\frac{A}{2}\text{ dollars }\rightarrow\frac{5000\times A}{2}\text{ dollars }

\Rightarrow2500 A\text{ dollars }

Hence, Live Fund will receive \$2500 A

5 0
3 years ago
When servicing a heating boiler and radiators, a plumer knows that the time he will take is given by the formula
Allushta [10]

Answer:

£110

Step-by-step explanation:

We know how much time it takes for a boiler and a radiator, and we need to know how much it will cost for 1 boiler and 4 radiators. We have an initial cost of £30, and since hes doing a boiler - which we know takes an hour - we can already add £20 for a start of £50.

Now, there are 4 radiators, that take 45 minutes each. We need to use this equation:

(45*4)/60

We divide by 60 because there are 60 minutes in an hour, and he charges by hour. So:

180/60=3

Now, to find out how much to charge, we need to figure out how much to add to the £50. Since it's £20 an hour, and it takes 3 hours to do the 4 radiators, we need to multiply:

3*20=60

Now we add our totals for a grand total of...

50+60=110

6 0
3 years ago
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