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Mandarinka [93]
3 years ago
14

three friends were sharing the cost of a bucket of popcorn the total cost of the popcorn is $5.70 write an equation that could b

e used to find the amount in dollars that each friend should pay
Mathematics
1 answer:
skad [1K]3 years ago
8 0
5.70 divided by 3 because they are splitting it between three friends!
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Maria, bill, and change sent a total of 71 text messages during the weekend. change sent 2 times as many messages as bill. maria
VLD [36.1K]
Alright, we're dealing with a few values here, so let's give them some labels to save us some trouble down the road. We'll call the number of messages sent by Maria <em>m</em>, the number sent by Bill <em>b</em> and the number sent by Change (is that a real name?) <em>c</em>. We don't know exactly what each number is, but let's take a look at what information they do give us.

Change sent 2 times as many messages as Bill, or, using our variable for Change and Bill:

c=2b

We're also given that Maria sent 7 messages more than Bill, which we can represent with:

m=b+7

Notice that <em>m</em> and <em>c</em> are both in terms of <em>b</em>. We can use this for our next step. We're given at the beginning that together, Maria, Bill, and Change sent 71 messages over the weekend. As an equation using all of our variables, this translates to:

m+b+c=71

Since <em>m </em>and <em>c </em>are both in terms of <em>b</em>, we can substitute those expressions in and solve for <em>b</em>:

(b+7)+b+2b=71\\ b+7+b+2b=71\\ 7+4b=71\\ 4b=64\\ b=16

Now that know that Bill sent 16 texts, we can find the numbers for Change and Maria:

m=b+7=16+7=23\\&#10;c=2b=2(16)=32

So, Bill sent 16 texts, Maria sent 23, and Change sent 32.
4 0
3 years ago
At the coffee shop, two coffees and one latte cost $10.50. Three coffees and two lattes cost $17.00. What is the cost of one cof
EastWind [94]

To solve this problem, we can set two equations.

Let x be the cost of coffee and y be the cost of latte.

Two coffees and one latte: 2x + y = 10.50

y=10.50 - 2x ...(1)

Three coffees and two lattes: 3x + 2y = 17.00...(2)

Put (1) into (2), we have:

3x + 2(10.50-2x) = 17.00

3x + 2(10.50) - 2(2x) = 17.00

3x + 21 - 4x = 17

Put the unknown to one side:

3x -4x = 17 - 21

-x = -4

When there are negative numbers on both sides, we can take the negative signs away:

x= 4

Therefore, cost of one coffee is A. $4.00.

Hope ot helps!

3 0
4 years ago
Which table represents a direct variation function?
ziro4ka [17]
Xy
-5.510
-4.58
-3.56
-2.54
-1.52
8 0
3 years ago
Read 2 more answers
so, he takes mary out on a date he has $13.50 they go out to the movies and he buys two tickets 60% of his money was the cost of
alex41 [277]
2 tickets cost $8.10. 1 ticket is $4.05. Just multiply the money he has by .6 for 2 tickets and then divide the number you get by 2 for the price of 1 ticket. Hope this helps!
7 0
3 years ago
Write an expression for - add 5 to the quotient of z and 6, then subtract 8 from the result
alina1380 [7]

Answer:

The answer would be z/6 + 5 - 8.

Step-by-step explanation:

Quotient means the answer to a division problem, so we know that z and 6 must be divided. Then it tells us to add 5 to the quotient and then subtract 8 from the total. Because of PEMDAS no parentheses are needed.

6 0
3 years ago
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