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Monica [59]
3 years ago
15

There are 7 1/2 bottles of lemonade. Each bottle holds 1 5/6 quarts. How many quarts of lemonade are there?

Mathematics
1 answer:
erik [133]3 years ago
7 0

Answer: There are 13³/₄ quarts of lemonade.

In decimal form, that is 13.75 quarts.

Step-by-step explanation:

Multiply 7 1/2 times 1 5/6

It may be good to change the mixed numbers to improper fractions:

7¹/₂ becomes 15/2  and 1⁵/₆ becomes 11/6

15/2 × 11/6 = 165/12

Changing that back to a mixed number involves dividing

165÷12 = 13 with a remainder of 9.

Make a fraction of the remainder as the numerator and 12 as the denominator. 9/12.

Then simplify: 9/12 = 3/4

Assemble the mixed number: 13³/₄

<em>Another way is to change the fractions to decimals and calculate:</em>

<em>7.5 × 1.833 = 13.7475.  Round to 13.75 and change back to a fraction if required.</em>

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Write the point-slope form of an equation of the line through the points (-7, 7) and (4, 1).
defon

Answer:

y − 7 = − 6 /11 ⋅ ( x + 7 )

Step-by-step explanation:

Find the point-slope form.

Point-slope formula: y-y₁=m(x-x₁)

3 0
2 years ago
Janet’s savings account has $12.10 more than the $242 it had at the beginning of the year. What percent more was in the savings
Ilia_Sergeevich [38]
5% is the answer!! :)
5 0
3 years ago
Giovanni purchased 25tickets to an airshow. the cost of an adult's ticket is $14 and the child's ticket is $8. if the total cost
Masteriza [31]

Giovanni purchased 20 adult tickets and 5 child's tickets.

Step-by-step explanation:

Let,

x = Adult tickets

y = Child's tickets

According to given statement;

x+y=25 Eqn 1

One adult ticket costs $14 and one child ticket costs $8, therefore,

14x+8y=320 Eqn 2

Multiplying\ Eqn\ 1\ by\ 8\\8(x+y=25)\\8x+8y=200\ Eqn\ 3\\Subtracting\ Eqn\ 3\ from\ Eqn\ 2\\(14x+8y)-(8x+8y)=320-200\\14x+8y-8x-8y=120\\6x=120\\Dividing\ both\ sides\ by\ 6\\\frac{6x}{6}=\frac{120}{6}\\x=20

Putting value of x in Eqn 1;

20+y=25\\y=25-20\\y=5

Giovanni purchased 20 adult tickets and 5 child's tickets.

Keywords: Linear equations, Addition

Learn more about linear equations at:

  • brainly.com/question/4460262
  • brainly.com/question/4464845

#LearnwithBrainly

6 0
3 years ago
Please help find the perimeter
Usimov [2.4K]

Answer:

Perimeter of the given figure = 28 units

Step-by-step explanation:

Perimeter of the given figure = Length of AB + Length of BC + Length of CD + Length of DE + Length of EF + Length of FG + Length of GH + Length of AH

Length of AB = 4.5 units

Length of BC = 2 units

Length of CD = 2 units

Length of DE = 4 units

Length of EF = 5.5 units

Length of FG = 1.5 units

Length of HG = 1 units

Length of AH = 7.5 units

Perimeter of ABCDEFGH = 4.5 + 2 + 2 + 4 + 5.5 + 1.5 + 1 + 7.5

                                          = 28 units

4 0
3 years ago
What is the percent increase in between 16 and 20
MrMuchimi
Your answer is 25% because a change from 16 to 20 represents a positive change (increase) of 25%
5 0
3 years ago
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