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fredd [130]
3 years ago
9

Which quantity is proportional to 65⁄5? Check all that are true. 13⁄1 260⁄10 195⁄15 130⁄15 130⁄10

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
5 0

Answer:

\frac{13}{1}

\frac{195}{15}

\frac{130}{10}

Step-by-step explanation:

we have the ratio

\frac{65}{5}

step 1

Divide both sides (numerator and denominator) by 5

\frac{65/5}{5/5}=\frac{13}{1}

therefore

\frac{13}{1} is proportional to \frac{65}{5}

step 2

Multiply both sides (numerator and denominator) by 3

\frac{65*3}{5*3}=\frac{195}{15}

therefore

\frac{195}{15} is proportional to \frac{65}{5}

step 3

Multiply both sides (numerator and denominator) by 2

\frac{65*2}{5*2}=\frac{130}{10}

therefore

\frac{130}{10} is proportional to \frac{65}{5}

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Answer:

I think this is right:

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Step-by-step explanation:

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3 years ago
PLEASE SHOW YOUR WORK WITH YOUR ANSWER. Two bags had 50 kilograms of sugar each. After taking out 3 times as much sugar from bag
Svetllana [295]

Answer:

Bag 1: 20

Bag 2: 40

Step-by-step explanation:

Let x be the amount taken out of bag 2

Then the amount left in each bag can be written as:

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Bag 2: 50-x

Since we know that half of bag 2 is bag 1, that gives us:

50-3x = 1/2(50-x)

-> 50-3x = 25-x/2

Now lets isolate x and solve:

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So plug x bag in for the original equations:

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3 years ago
Complete the following statements.
stiv31 [10]

Answer:

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains  67.62 fluid ounces of liquid.

The soda bottle contains 0.525  gallons of liquid.

2) A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains 8  quarts of milk.

The milk jug contains 7.6 liters of milk.

Step-by-step explanation:

We need to complete the statements.

1)

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains -------  fluid ounces of liquid.

  • Converting Liters to fluid ounces

We know that 1 liter = 33.81 fluid ounces

So,  2 liter = 2 x 33.81 = 67.62 fluid ounces

The soda bottle contains 67.62  fluid ounces of liquid.

The soda bottle contains  gallons of liquid.

  • Converting liters to gallons

As, we are not given direct conversion from liters to gallons, first we convert liter to quarts and then convert quarts to gallons

We know that

1 liter = 1.05 quarts

2 liters = 2 x 1.05 = 2.1 quarts

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2.1 quarts = 1/4 * 2.1 = 0.525 gallon

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2)

A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains -------- quarts of milk.

  • Converting gallons to quarts

We know:

1 gallon = 4 quarts

2 gallons = 2 x 4 = 8 quarts

The milk jug contains 8 quarts of milk.

The milk jug contains ------  liters of milk.

  • Converting gallons to liters

We know:

1 gallon = 4 quarts

2 gallon = 8 quarts

1.05 quarts = 1 liter

1 quarts = 1/1.05 liter

8 quarts = 1/1.05 * 8 = 7.6 liter

The milk jug contains 7.6 liters of milk.

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What is the mean of this set 18,21,20,14,17
konstantin123 [22]

Answer: 18

Step-by-step explanation:

Add them all up

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Divide by 5 since that is how many numbers there are

90/5=18

6 0
3 years ago
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