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Lilit [14]
3 years ago
12

This rational expression is nonequivalent. 5x / 25x^4 ; x^3 / 5x^15 True or false?????

Mathematics
2 answers:
FromTheMoon [43]3 years ago
8 0

It is nonequivalent. Figure it out this way. Think about what number has to be multiplied by both the numerator and the denominator of \frac{5x}{25x^4} to get to \frac{x^3}{5x^15}. It has to be the samee number for the one expression to be equivalent to the other. To get from 5x to x^3, we have to multiply by 1/5x^2. When we do that we get x^3. Good. Now we have to multiply the denominator by the same thing, 1/5x^2. 25x^4(\frac{1}{5}x^2)=5x^6. As you can see, they are not equivalent.

Inga [223]3 years ago
5 0

For this case we have the following expressions:

\frac{5x}{25x^4}

\frac{x^3}{5x^{15}}

We can rewrite both expressions using properties of powers.

For power properties we have:

"In a division, if we have the same base, we subtract the exponents"

Rewriting both expressions we have:

\frac{5x}{25x^4} = \frac{1}{5}x^{1-4} = \frac{1}{5}x^{-3} =  \frac{1}{5x^3}

\frac{x^3}{5x^{15}} = \frac{1}{5}x^{3-15} =\frac{1}{5}x^{-12} = \frac{1}{5x^{12}}

Answer:

True.

Rational expressions are not equivalent.

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$1017.19

Step-by-step explanation:

First find the fraction of how much of Paulo's money is spent on his rent and car. Add 1/4 and 1/8, which is 3/8 because 1/4 = 2/8. Then multiply 3/8 by Paulo's monthly spending, which is $2712.50. Multiplying those numbers will get you $1017.1875. which you have to round up to $1017.19 because you can't spend three quarters of a cent.

8 0
3 years ago
Read 2 more answers
Kirsten has 9 syrup containers from a local cafe. There are 6 milliliters of syrup per container.
ololo11 [35]

Answer: 54 mL

Step-by-step explanation:

Simply do 9(number of containers)*6(Syrup per container) to get 54 mL of syrup.

<em>Hope it helps <3</em>

3 0
3 years ago
Which of these professionals most directly uses geometry?
notka56 [123]
Good Morning!
<span>air traffic controller
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The most cited professional who uses geometry is the air traffic controller. This professional needs to calculate routes, distances and times traveled in order to avoid accumulation of aircraft at the time of landing, for example.
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Ivahew [28]
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5 0
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Mary crocheted a rectangular blanket whose diagonal measures approximately 7.21 feet. What are the most likely length and width
mote1985 [20]

Answer:

If both sides are integers, one side will be 4 feet and the other will be 6 feet. The other solution is the symmetrical solution (4 feet instead of 6 feet, and 6 feet instead of 4 feet).

Step-by-step explanation:

We have a rectangular blanket, that has a diagonal that measures h=7.21 feet.

The two sides of the rectangle a and b can be related to the diagonal h by the Pithagorean theorem:

a^2+b^2=h^2

Then, we can express one side in function of the other as:

a^2+b^2=h^2\\\\a^2=h^2-b^2\\\\a=\sqrt{h^2-b^2}=\sqrt{7.21-b^2}=\sqrt{52-b^2}

Then, if we define b, we get the value of a that satisfies the equation.

A graph of values of a and b is attached.

If both side a and b are integers, we can see in the graph that are only two solutions: (b=4, a=6) and (a=4, b=6).

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