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3 years ago

Place these numbers on the number line. 1/4, 2/3, 3/4, 6/8

1 answer:

4 0

The best way to put them into a number line is to make sure that they've all got the same denominator, which in this case, will be 24, as this is the lowest common multiple of 3,4 and 8. You will then need to multiply these fractions accordingly. The first one (1/4) will need to be multiplied by 6 to get a denominator of 24, so this will then give you a result of 6/24. The second one (2/3), will need to be multiplied by 8, which will then give you a result of 16/24. The third one (3/4)will also need to be multiplied by 6, giving you 18/24. The final one (6/8) will need to be multiplied by 3, giving you 18/24. You will then need to put these in order, which will be- 1/4, 2/3, 3/4, and 6/8. The alternative method is to turn these into decimals- 1/4 is equivalent to 25%, which is equal to 0.25. 2/3 is equivalent to 66.66%, which is equivalent to 0.66. 3/4 is equivalent to 75%, which is equal to 0.75. 6/8 is also equivalent to 75%, which is equal to 0.75, you can then easily line them up this way. Hope this has been able to help you

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3 years ago

Felix has $1,000 in his savings account. He wants to purchase a motorcycle for $5,000. The seller has agreed to take a payment o

grigory [225]

Answer:

The system of equations is

(1) Amount balance to buy the motorcycle = Cost of motorcycle - Balance in savings

(2) Number of months Felix would need to make up the amount balance to buy the motorcycle = When Felix will have enough money to completely pay for his motorcycle

(3) Number of months Felix would need to make up the amount balance to buy the motorcycle = When Felix will have enough money to completely pay for his motorcycle

(4) The period it will take for Felix to have enough money to completely pay for his motorcycle is 8 months

Step-by-step explanation:

Here we have

Balance in savings = $1,000

Amount available to Felix each month = $500

Amount balance to buy the motorcycle = Cost of motorcycle - Balance in savings

= $5,000 - $1,000 = $4,000

Number of months Felix would need to make up the amount balance to buy the motorcycle = When Felix will have enough money to completely pay for his motorcycle

The above is given by

Number of months = Amount balance to buy the motorcycle ÷ Amount available to Felix each month

∴ Number of months = $4,000 ÷ $500 = 8 Months

That is Felix will have enough money to pay for his motorcycle in 8 months.

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3 years ago

Jim needs to mix a medication with water to make the appropriate solution. The medications says to mix 3 oz of medication with 5

skelet666 [1.2K]

Answer:

38 or 38.33 cups of water.

Step-by-step explanation:

You need 5 cups of water for every 3 ounces of medication. We can set up a proportion: #oz of medication/#cups of water= #oz of medication/# cups of water. We can plug in some numbers from the problem.

3/5=23/n. You can use any variable, but I'm using n for how many cups of water Jim will need for 23 ounces of medication.

We can cross multiply: 3*n=5*23.

3n=115

We divide both sides by 3.

n=38.3333333.......

Rounding to the nearest whole number, Jim will need 38 cups of water, or 38.33 cups if you're rounding to the nearest hundredth.

Hope this helps :)

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3 years ago