True or false:x/3 is equivalent to 1/3x.explain your reasoning.

Answers

Answer 1

Answer:

Yes, both the expressions are equivalent.

What is an expression?

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation. This maths operation can be addition, subtraction, multiplication, or division.

Given that, x/3 is equivalent to 1/3x, yes or not?

So, we can write x/3 as

1/3×x

= x/3

Since, either you multiply by 1/3 or divide by 3 both are same thing,

1/3×x = x/3 = 0.333x

for example; 4÷2 = 2 or 4×1/2 = 2, in both case the answer is same, that means the expression given are also equal.

Hence, we can conclude both the expressions are equivalent.

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Answer 2

Answer: that is true because you are still dividing x by three either way

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Jenna buys 12 lb of meat. Some of the meat is chicken and costs $1.90/lb. The rest is beef, which costs $4.30/lb. She spends a total of $34.80Which equation models this situation? Let c represent the number of pounds of chicken she buys.A. (1.9 + 4.3)(12 – c) = 34.8B. 4.3c + 1.9(c + 14) = 34.8C. 4.3c + 1.9(12) = 34.8D. 1.9c + 4.3(12 − c) = 34.8
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Which is more 2 feet or 1 yard

Answers

Well, a yard is equivalent to 3 feet, so 3 feet is longer than 2 feet. Hope this helps!

One yard is more than two feet

Do you know what this is 8 – 3k = 5?

Answers

k=1

subtract 8 from 8 and 5
you will cancel out the original 8 and get -3k=-3
you still arent done, divide -3k and -3 by -3 to get rid of it
k will equal 1

Well, well...it must be an equation.
8 – 3k = 5 <=> 8-3k-5=0 <=> 3-3k=0 <=> 3=3k => k=3/3 => k=1.

How many centimeters is it from the pitchers mound to home plate

Answers

I don't know.

But if you can find the number of FEET from the mound to
home plate, then you can multiply it by these 2 fractions and
convert that into centimeters.

   (12 inches / 1 foot)
and
   (2.54 centimeters / inch) .

Usually, you can't just go multiplying numbers by other things without
changing the value of the number.

But if you look at these two fractions, you'll see that each of them is
actually equal to ' 1 ' ... the numerator is equal to the denominator.

So when you multiply a number by these fractions, you're just multiplying
it by ' 1 ' twice. Its value doesn't change, but its units do ! And that's exactly
what you need.

Megan has already saved $18 and she earns $4 per hour working four hours on each Saturday and 3 hours on each Sunday. Rhoni has already saved $22 and she earns $3 per hour and works 6 hours each week. If they combine their money, in how many weeks will they be able to afford a $316 stereo?

Answers

In one week Megan makes 28 dollars
In one week Rhoni makes 18 dollars
Combined per week they make 46 dollars
you do 316/46
Which equals 6.86956521739
Basically in 7 weeks they can buy the stereo

Write the fractions in order from least to greatest 1/5, 2/3, 5/8

Answers

1/5, 5/8, 2/3 from least to greatest.

1/5 = 0.20 x 100% = 20%
5/8 = 0.625 x 100% = 62.50%
2/3 = 0.667 x 100% = 66.70%

It is easier to convert dissimilar fractions into decimals to know which fraction has greater or lesser value compared to the other fractions.

Final answer:

To order the fractions from least to greatest, convert them to decimals, compare, and then convert back to fractions. The order is 1/5, 5/8, 2/3.

Explanation:

To order the fractions from least to greatest, it's easiest if they all have the same denominator. In this case, the fractions are 1/5, 2/3, and 5/8. An approach can be to convert them all to decimals to make comparison easier.

Here's how you do it:

Convert each fraction to a decimal: 1/5 = 0.2, 2/3 = ~0.67, 5/8 = 0.625
Look at each decimal to determine their order from least to greatest: 0.2, 0.625, 0.67
Convert the decimals back to fractions: 1/5, 5/8, 2/3

So, the fractions from least to greatest are: 1/5, 5/8, 2/3.

Learn more about Ordering Fractions here:

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Isabella and Sophia share a reward of $60 in a ratio of 2 : 3. What fraction of the total reward does Isabella get?

Answers

60 divided by 3=20 so 20 times 2=40

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