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larisa [96]
3 years ago
10

How do you compare 4/15 and 3/4?​

Mathematics
1 answer:
slavikrds [6]3 years ago
6 0
Find the least common denominator or LCM of the two denominators. LCM of 4 and 15 is 60. 4x15= 60 34=3x154x15=4560 3/4 is bigger
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How do you simplify:<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%28125%20%5E%7B2%7D%20%7D%20%29%20%20%20%5E%7B%20-%20
Nady [450]

Answer:

\huge\boxed{\sqrt{(125^2)^{-\frac{1}{3}}}=\dfrac{1}{5}}

Step-by-step explanation:

\sqrt{(125^2)^{-\frac{1}{3}}}\qquad\text{use}\ (a^n)^m=(a^m)^n\\\\=\sqrt{\left(125^{-\frac{1}{3}\right)^2}\qquad\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=125^{-\frac{1}{3}}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{125^\frac{1}{3}}\qquad\text{use}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\=\dfrac{1}{\sqrt[3]{125}}=\dfrac{1}{5}\qquad\text{because}\ 5^3=125

5 0
3 years ago
Need help with this math ​
zhannawk [14.2K]
The answer for it would be 114t/v
4 0
3 years ago
If zeba were younger by 5 years than what she really is then the square of her age would have been 11 more than five times her a
RSB [31]

Answer:

14 years old

Step-by-step explanation:

<u>Define the variable</u>

Let x be the actual age of Zeba (in years).

<u>Create an equation</u> using the give information and the variable x:

(x - 5)^2=5x+11

To find Zeba's age now, <u>solve the equation for x</u>.

Expand the brackets:

\implies x^2-10x+25=5x+11

Subtract 5x from both sides:

\implies x^2-10x+25-5x=5x+11-5x

\implies x^2-15x+25=11

Subtract 11 from both sides:

\implies x^2-15x+25-11=11-11

\implies x^2-15x+14=0

<u>Factor the found quadratic</u>

To factor a quadratic in the form ax^2+bx+c<em>, </em>find two numbers that multiply to ac and sum to b, then rewrite b as the sum of these two numbers:

\implies x^2-14x-x+14=0

Factor the first two terms and the last two terms separately:

\implies x(x-14)-1(x-14)=0

Factor out the common term (x - 14):

\implies (x-1)(x-14)=0

Apply the <u>zero product property</u>:

\implies (x-1)=0 \implies x=1

\implies (x-14)=0 \implies x=14

Therefore, Zeba's age now is either 1 or 14 years.

As the question states "If Zeba were younger by 5 years" then 1 must be an <u>extraneous solution</u> since 1 - 5 = -4 and Zeba cannot be -4 years old.

Therefore, Zeba's age now is 14 years old.

<u>Check</u>

Given the actual age of Zeba is 14 years old.

Therefore, If Zeba were younger by 5 years, she would be 9 years old as:  14 - 5 = 9

The square of 9 is:  9² = 81.

5 times her actual age:  5 × 14 = 70

81 is 11 more than 70, hence verifying that her <u>actual age is 14 years old</u>.

Learn more about quadratic equations here:

brainly.com/question/27956741

brainly.com/question/27947331

5 0
1 year ago
Read 2 more answers
RATIONAL EQUATIONS CAN ANYBODY HELP? need asap ):
ruslelena [56]
B = -4
Hope this helps. 
brainliest if correct.
7 0
3 years ago
Mabel spend four hours editing a three minute long video. She edits at a constant rate. How long will it take Mabel to edit a ni
Whitepunk [10]

Answer:

12 hours

Step-by-step explanation:

since she is working at a constant rate of 4 hours for every 3 minutes and video is 9 minutes 9/3 is 3 and 4x3=12

7 0
3 years ago
Read 2 more answers
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