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docker41 [41]
4 years ago
7

Which expression is equivalent to the following complex fraction?

Mathematics
1 answer:
Bingel [31]4 years ago
7 0

Answer:

B

Step-by-step explanation:

Simplify the numerator and denominator of the fraction, that is

\frac{2}{x} - \frac{4}{y}

Multiply the numerator/denominator of the first fraction by y

Multiply the numerator/denominator of the second fraction by x

\frac{2y}{xy} - \frac{4x}{xy}

= \frac{2y-4x}{xy}

Similarly

\frac{-5}{y} + \frac{3}{x}

Multiply numerator/denominator of the first fraction by x

Multiply numerator/denominator of second fraction by y

\frac{-5x}{xy} + \frac{3y}{xy}

= \frac{3y-5x}{xy}

To perform the division

leave the fraction on the numerator

Change division to multiplication

Turn the fraction on the denominator upside down, thus

\frac{2y-4x}{xy} × \frac{xy}{3y-5x}

Cancel xy on the numerator and denominator

= \frac{2y-4x}{3y-5x} ← factor 2 out of each term on the numerator

= \frac{2(y-2x)}{3y-5x} → B

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5 0
3 years ago
Which undefined geometric term can be described as a one dimensional set of points that has no beginning or end ?
Hunter-Best [27]

Answer:

A LINE

A line is the undefined geometric term can be described as a one-dimensional set of points that has no beginning or end.

hope this helps

5 0
3 years ago
Levi borrowed $7129 at 4% simple interest for 6 months. How much will the interest amount to? What is the total amount that Levi
rodikova [14]

Answer:

Interest will amount to $142.58

Total amount Levi will have to pay back at the end of 6 months=$7271.58

Step-by-step explanation:

Simple interest=principal×rate×time

Principal=$7129

Rate=4%=0.04

Time=6 month=0.5 year

Simple interest=principal×rate×time

=$7129×0.04×0.5

=$142.58

Interest will amount to $142.58

Total amount Levi will have to pay back at the end of 6 months

=principal + total interest

=$7129+$142.58

=$7271.58

4 0
4 years ago
6. Lynne walls dogs every day to earn money. The
Softa [21]

Answer:

22 per dog when she is walking 8

she would make 176 for walking all 8 of them

Step-by-step explanation:

For each additional dog she walks she is giving a discount. If you subtract each one you will see she is giving a 2.75 discount.

40-37.25 = 2.75

37.25-34.50 = 2.75

34.50-31.75 = 2.75

Since you know she gives a discount of 2.75 per dog you can take that times the number of dogs (8).

8 x 2.75 = 22 per dog

Then take that amount and multiply it by the number of dogs she is walking.

8 x 22 = 176 for all 8 dogs

8 0
3 years ago
there are 49 dogs signed up for the dog show. there are 36 more small dogs than large dogs. how many small dogs are signed up fo
pogonyaev
Okay, so total dogs are 49.
So we know if x=large dogs and y=small dogs, then x+y=49.
Next we are told that there are 36 MORE small dogs than large dogs. We can take that more meaning addition, and x being our value for large dogs. So y=x+36.
After that we now know what value we can plug in for y. So x+x+36=49.
We can then simplify it to 2x+36=49.
Subtracting the 36 from both sides, leaves you with 2x=13.
Followed by dividing both sides by 2, gives you x=6.5. Or 6.5 large dogs.
Now we can plug this into our formula for the small dogs (y=x+36) to give us y=6.5+36, which simplifies to y=42.5. Or 42.5 small dogs. Which is our answer.
We can double check it by adding the small and large dogs together, 6.5+42.5, which gives us 49, our total entries.
4 0
4 years ago
Read 2 more answers
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