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Mashutka [201]
3 years ago
13

Simplify the rational expression by rationalizing the denominator √15/√6x

Mathematics
1 answer:
noname [10]3 years ago
4 0

Answer:

√10/2x

Step-by-step explanation:

Multiply by √6 on the top and bottom to rationalize the denominator.

(√15×√6)/(√6x×√6) = √90/6x = (√9×√10)/6x = 3√10/6x = √10/2x

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PLZZZZZZZZZ HELP THANK YOUUUUUUUU !!!!!
photoshop1234 [79]

Answer:

<u><em>It has gone -160 miles.</em></u>

Step-by-step explanation:

To find the answer we will <em>multiply -40 by 4 hours</em>, and we get<em> -160 miles</em>.  Therefore, the car has <em>traveled -160 miles</em>.

7 0
2 years ago
How many gallons of a 80​% antifreeze solution must be mixed with 100 gallons of 20​% antifreeze to get a mixture that is 70​% a
Blababa [14]

To Find :

How many gallons of a 80​% antifreeze solution must be mixed with 100 gallons of 20​% antifreeze to get a mixture that is 70​% antifreeze.

Solution :

Let, x gallons of 80​% antifreeze solution is required :

So,

(x \times 80) + ( 100 \times 20 ) = (x + 100 )\times 70\\\\8x + 200 = 7( x + 100)\\\\x = 500

Therefore, 500 gallons of 80% antifreeze solution is required.

6 0
3 years ago
if 18 horses finished a certain amount of corn in 64 days. 72 horses will finish the same quantity at the same rate?​
zaharov [31]

Answer:

It is 4

Step-by-step explanation: I know its four because 72 divided by 18 is four. I also know that 64 divided by 18 is 3.555 which is close to four.

5 0
3 years ago
Write the slope-intercept form of the equation of the line; (-5,-4) and prep. To y equals 5x plus 1
ohaa [14]

Answer:

y=-\frac{1}{5} x-5

Step-by-step explanation:

The given line is defined by:  y=5x+1, where we see that the slope is 5 and the y-intercept 1.

In order to find a line perpendicular to the given one, we need it to have a slope that is the "opposite of the reciprocal" of the given slope.

"Opposite" means it would have its sign inverted (in our case from positive to negative); and "reciprocal means that instead of 5, it would be its reciprocal: \frac{1}{5}.

We can write this new line with such slope, and try to find its y-intercept (b) by using the given condition that requires it to go through the point (-5,-4) on he plane:

y=-\frac{1}{5} x+b

we require then that when x=-5, the value of y=-4.

Therefore: -4=-\frac{1}{5} (-5)+b\\-4=\frac{5}{5} +b\\-4=1+b\\b=-4-1=-5

Then our final answer is that the new line should have the form: y=-\frac{1}{5} x-5

4 0
3 years ago
A group of 30 students from your school is part of the audience for a TV game show. The total number of people in the audience i
Anestetic [448]

What is the theoretical probability of 5 students from your school being selected as contestants out of 10 possible contestant spots?

17.9%

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3 years ago
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