How to reduce to lowest form 1/4 + 2/5

2 answers:

7 0

First, find the least common denominator, which in this case is 20.
Then, multiply the numerator the same amount of times that you did the denominator, which is 5 and 4, respectively, which equals 5 and 8, respectively.
Then, add the numerators, which equals 13.
So, 13/20 is your final answer.

Alinara [238K]3 years ago

4 0

In order to solve this,we need to make sure that the denominators are the same. We can do this by finding the lowest common denominator, meaning which number in the denominator when multiplied by 1,2,3,4 etc will give us the lowest possible number. In this case it is 20. Since we are changing the denominator we have to multiply the numerator and denominator of 1/4 by 5 which gives us 5/20, and we need to multiply the numerator and denominator of 2/5 by 4, giving us 8/20

Now we just the numerators of the two fractions which gives us the answer of 13/20

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Luda [366]

Take the natural log of both sides

ln(2^x)=ln(.125)
Xln(2)=ln(.125)
X=ln(.125)/ln(2)
X=-3

ALTERNATIVE ROUTE:
You know that 0.125 is equal to 1/8
And 1/2^3 is also equal to 1/8
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5 0

3 years ago

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Uscles Gym has a membership fee of $40 every 3 months. Energy Gym has a membership fee of $93 every 6 months.

snow_lady [41]

Answer:

Muscles Gym: 13.33

Energy Gym: 15.00

Step-by-step explanation:

Muscles Gym: You divide "40.00" by "3", which will then give you the answer of "13.33".

Energy Gym: You divide "93.00" by "6", which will then give you the answer of "15.50".

You then add the zero to show the proper number of cents after the decimal point.

I hope this helps!

6 0

3 years ago

If sin theta is negative and cot theta is positive, in which quadrant does theta terminate?

krok68 [10]

All you need to know is that:

In the first quadrant, both coordinates are positive
In the second quadrant, x is negative and y is positive
In the third quadrant, both coordinates are negative
In the fourth quadrant, x is positive and y is negative
The sine is the y coordinate of the points on the unit circle
The cosine is the x coordinate of the points on the unit circle
The cotangent function is defined as the ration between the cosine and the sine of an angle.

So, if sin theta is negative and cot theta is positive, you're saying that you're looking at a point with negative y coordinate and such that

$\dfrac{\cos(\theta)}{\sin(\theta)}>0$

The ratio of two numbers is positive if and only if they have the same sign, so the cosine must by negative as well.

Saying that an angle has negative sine and cosine is the same as saying that the angle identifies a point on the unit circle where both x and y coordinates are negative.

So, if you look at the bullet list at the beginning, you'll see that the point is in the third quadrant.

8 0

3 years ago

Please help with this question.

Ann [662]

Answer:

I believe the answer is B

Step-by-step explanation:

PLZ MARK BRAINLIEST

3 0

3 years ago

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