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mel-nik [20]
2 years ago
5

How many 2 3 -quart portions are in 7 1 2 quarts of soup?

Mathematics
2 answers:
soldier1979 [14.2K]2 years ago
4 0

Answer:

Number = 11\frac{1}{4}

Step-by-step explanation:

Given

Soup = 7\frac{1}{2} quarts

Portion = \frac{2}{3} quarts

Required

Determine the number of portions in the soup

<em>The question illustrates division of fractions and to solve this question, we simply divide the size of the soup by the size of the given portion</em>

<em />

<em />Number = Soup/Portion<em />

<em>Substitute values for Soup and Portion</em>

<em />Number = 7\frac{1}{2}\ quarts /\frac{2}{3} \ quarts<em />

<em />Number = 7\frac{1}{2}/\frac{2}{3}<em />

<em />

Convert mixed fraction to improper fraction

<em />Number = \frac{15}{2}/\frac{2}{3}<em />

Number = \frac{15}{2} * \frac{3}{2}

Number = \frac{15*3}{2*2}

Number = \frac{45}{4}

Number = 11\frac{1}{4}

<em>Hence, there are </em>11\frac{1}{4}<em>  of </em>\frac{2}{3}<em> quarts in </em>7\frac{1}{2}<em> quarts of soup</em>

balu736 [363]2 years ago
3 0

Answer:

11 1/4 is your answer

Step-by-step explanation:

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baherus [9]

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Step-by-step explanation:

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4 0
2 years ago
To rent a bounce house: At Mike's Bounce Shop costs $30 plus $2 per hour. At Jose's Bounce Rentals, it costs $12 plus $8 per hou
ANEK [815]

Answer: After 3 hours both will have the same cost.

Step-by-step explanation:

Let x = Number of hours and y be the total cost.

Total cost = Initial cost + (cost per hour)(Number of hours)

At Mike's Bounce Shop,

Total cost (y)= 30+2x

At Jose's Bounce Rentals,

Total cost(y) =  12+8x

When both shops have the same cost, then

12+8x=30+2x\\\\\Rightarrow\ 8x-2x=30-12\\\\\Rightarrow\ 6x=18\\\\\Rightarrow\ x=3

Total cost = 12+8(3)=12+24=$36

Hence, After 3 hours both will have the same cost.

3 0
2 years ago
riangle XYZ is translated 4 units up and 3 units left to yield ΔX'Y'Z'. What is the distance between any two corresponding point
tester [92]

Answer:

5 units

Step-by-step explanation:

According to the given statement  Δ XYZ is translated 4 units up and 3 units left to yield ΔX'Y'Z' which means that each point in ΔXYZ is moved 4 units up and moved 3 units left.

To find the distance of each corresponding point we will use the Pythagorean theorem which states that the square of the length of the Pythagorean of a right triangle is equal to the sum of the squares of the length of other legs

The square of the required distance = 4^2+3^2 = 16+9 =25

By taking root of 25 we get:

√25 = 5

Thus, we can conclude that the the distance between any two corresponding points on ΔXYZ and ΔX′Y′Z′  is 5 units. ..

7 0
3 years ago
Which graph represents <br> y= -2x?
Kamila [148]
It would be the second graph since the coefficient is negative
5 0
3 years ago
Read 2 more answers
Help !! Picture ^^^^
nikitadnepr [17]
The answer is 78

If you multiply 17x6 you get 102
102 equals the whole rectangle after that you need to get rid of the part that’s not there
so you multiply 8x3 which equals 24
you then subtract 24 from 102 and get 78
6 0
3 years ago
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