All categories

3 years ago

Which of the following is the quotient of the rational expressions shown below?

1 answer:

soldier1979 [14.2K]3 years ago

7 0

We have two rational expressions. One in numerator and one in denominator.
Dividing by a fraction is equivalent to multiplying by its reciprocal. The rational expression in the denominator can be multiplied by taking its reciprocal to simplify the overall expression as shown below.

$\frac{ \frac{4x+1}{6x} }{ \frac{x}{3x-1} } \\ \\ 
= \frac{4x+1}{6x} * \frac{3x-1}{x} \\ \\ 
= \frac{(4x+1)(3x-1)}{6 x^{2} }$

There are no common factors, so the expression can be simplified any further.

You might be interested in

HELP! im sooooooooooo confused

Mama L [17]

Answer:

wow this is hard let me do the math hold on

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

He truck is rented at $40 per day plus they charge per mile of use the truck travel 15 miles in one day and the total charge was

Allushta [10]

Answer:

$115 = 15 x + 40$

the charge is $5 dollars per mile

Step-by-step explanation:

He truck is rented at $40 per day plus they charge per mile of use the truck travel 15 miles in one day and the total charge was 115

LEt x be the charge in dollars per hour

Initial charge is 40 and 15 miles travelled in one day

total charge = 15x + 40

Given : total charge is 115

So the equation becomes

$115 = 15 x + 40$

Now we solve for x

Subtract 40 from both sides

$75= 15 x$

Divide both sides by 15

x= 5

so , the charge is $5 dollars per mile

7 0

3 years ago

Read 2 more answers

1) At Joe's Restaurant, one-fourth of the

andrew11 [14]

Answer:

1/20 of the patrons at Joe's restaurant are expected to be male and out of town.

Step-by-step explanation:

1. Let's review all the information provided for solving this question:

Proportion of patrons that are male at Joe's restaurant = 1/4

Proportion of patrons that are from out of town at Joe's restaurant = 1/5

2. What proportion would you expect to be male and out of town?

For finding the proportion of the patrons, that would be male and that would be from out of town, we do this calculation:

Proportion of patrons that are male at Joe's restaurant * Proportion of patrons that are from out of town at Joe's restaurant

1/4 * 1/5 = 1/20

It means that 1/20 of the patrons at Joe's restaurant are expected to be male and out of town.

8 0

3 years ago

86 is 45% of what number

Alik [6]

Hello there! We are talking about 86 being part of a number, so we are looking for the whole. To find the number we are looking for, we can write and solve a proportion. Set it up like this:

86/x = 45/100

86 is 45% of a number. We know the part, so now we are looking for the whole. 45% is part of 100%, so we put that part together. Cross multiply the digits. 100 * 86 is 8,600. 45 * x is 45x. That simplifies to 8,600 = 45x. Now, divide each side by 45 to isolate the x. 45x/45 cancels out. 8,600/45 is 191.1111111 or 191 1/9 in fraction form. There. x = 191 1/9 86 is 45% or 191 1/9

Note: Or, if you have to round to the nearest whole number, the answer is 191, or if you have to round to the nearest tenth, the answer is 191.1. It all depends on if the answer needs to be rounded or exact.

4 0

3 years ago

PLS PLS PLS PLSSSSS HELPPPP

ioda

Answer: 14

Step-by-step explanation:

Okay so it asks in all, which means morning distance + afternoon distance

We got the afternoon distance so now we have to find the morning one

it says the afternoon distance (6), is 25% less than the morning distance.

Which means the afternoon distance is 0.75 of the morning distance.

so 0.75x = 6, x = 6/0.75 = 8

Then you add 8 to 6 to get 14

6 0

3 years ago