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8090 [49]
2 years ago
15

Sofia purchased groceries worth $36 for a party. A gallon of fruit punch costs $2.25, a gallon of ice cream costs $4.50, and a g

allon of lemonade costs $3.00. If Sofia bought 6 gallons of fruit punch and 3 gallons of ice cream, how many gallons of lemonade did she buy?
Mathematics
2 answers:
Kryger [21]2 years ago
4 0

Answer:

3 gallon of lemonade

Step-by-step explanation:

Fruit= 2.25×6=13.5

Ice cream = 4.50×3=13.5

Lemonade = 3.00×x=3.00x

13.5+13.5+3.00x=36.00

27.00+3.00x=36.00

3.00x=36.00-27.00

3.00x=9

Divide both sides by 3

x=9/3.00

x=3

m_a_m_a [10]2 years ago
3 0

Answer:

3 gallons at 3 dollars a piece

Step-by-step explanation:

2.25 •6=13.50

4.50•3=13.50

13.50+13.50= 27.00

36-27=9

9÷3=3

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A bus driver pays all tolls, using only nickels and dimes, by throwing one coin at a time into the mechanical toll collector.
lutik1710 [3]

Answer: a) An = An-1 + An-2

b) 55ways

Step-by-step explanation:

a) a nickel is 5 cents and a dime is 10cent so a multiple of 5 cents is the possible way to pay the tolls in both choices.

Let An represents the number of possible ways the driver can pay a toll of 5n cents, so that

An = 5n cents

Case 1: Using a nickel for payment which is 5 cents, the number of ways given as;

An-1 = 5( n-1)

Case 2: using a dime which is two 5 cents, the number of ways is given as;

An-2 = 5(n-2)

Summing up the number of ways, we have

An = An-1 + An-2

From the relation,

If n= 0, Ao= 1

n =1, A1= 1

b) 45 cents paid in multiples of 5cents will give us 9 ways(A9)

From the relation, we have that

Ao = 1

A1 = 1

An =An-1 + An-2

Ao = 1

A1 = 1

A2 = A1+Ao = 1+1= 2

A3 = A2 + A1 = 3

A4 = A3+A2=5

A5=A4+A3=8

A6=A5+A4=13

A7 =A6+A5 = 21

A8= A7+A6= 34

A9= A8+A7= 55

So there are 55ways to pay 45cents.

4 0
3 years ago
A soccer team won only 10 of their first 30 games. How many of their remaining 20 games will they have to win to have a .500 rec
jeka94

Answer: 5 games

Step-by-step explanation: A .500 record means that the soccer team won half of their games ( that's how I interpret it). Since they are going to play 30 games, they need to win half of 30 or 15 games to have that record. 15-10 = 5. So, they need to win 5 more games to have a .500 record.

8 0
1 year ago
Which of the following would be appropriate to measure in centimeters
Alex787 [66]

Answer:

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8 0
3 years ago
I need a check so just want some help​
bazaltina [42]

Answer and Step-by-step explanation:

We are told that AB is equal to 3x + 1.

BC is then half of AB, or \frac{3x+1}{2}.

AC is then 4 less than BC, or (\frac{3x+1}{2} ) -  4

To find the perimeter, we add all of these together.

3x + 3x/2 + 3x/2 = 6x

1 + 1/2 + (1/2 - 4) = -2

The final answer is 6x - 2.

#teamtrees #WAP (Water And Plant)

8 0
3 years ago
Need help doing this
Natali [406]

Answer:

  A.  -2

  B.  -10

Step-by-step explanation:

The slope of a perpendicular line will be the negative reciprocal of the slope of the given line:

  -1/(1/2) = -2 . . . . slope of the perpendicular line

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  y = -2x +b

  2 = -2(-6) +b

  -10 = b . . . . . . . subtract 12. This is the y-intercept.

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The graph shows the two lines and the points they go through.

8 0
3 years ago
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