Determine whether the fractions 3 4 and 4 5 are equivalent. Question content area bottom Part 1 Select the correct choice below
1 answer:
Answer: Choice A
The fractions are not equivalent because the product of the numerator of the first fraction and the denominator of the second fraction is <u> 15 </u> , which is not equal to the product of the numerator of the second fraction and the denominator of the first fraction <u> 16 </u>
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Explanation:
We have the template which cross multiplies to
So if was true, then
must be true as well, and vice versa.
The left side 3*5 turns into 15, while the right hand side 4*4 becomes 16. The 15 and 16 don't match up.
In short, turns into
which is a false statement. So the original claim that
is also false.
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Carter paid $200 for the bike.
Step-by-step explanation:
Given,
Current value of bike = $90
This represent 45% of the original amount Carter paid for bike.
Let,
x represent the original amount of bike.
45% of x = 90
Dividing both sides by 0.45
Carter paid $200 for the bike.
Keywords: percentage, division
Learn more about division at:
#LearnwithBrainly
To calculate the square root, you can either use the √symbol on a calculator or you can manually find it using Prime Factorization. For non-perfect squares, Prime Factorization is the way to go.
The first two steps work for solving large perfect squares as well.
1. Divide your number into perfect square factors.
2. Take the square roots of your perfect square factors.
3. If your number doesn't factor perfectly, reduce your answer to simplest terms.
4. If needed, estimate. In some cases if you have memorized some of the square roots, you can estimate where the number would be.
ie.
you know that 
and 
, so you can estimate that the would be between 7 and 8 but closer to 8.
5. <span>Alternatively, reduce your number to its lowest common factors as your first step.</span><span> Finding perfect square factors isn't necessary if you can easily determine a number's prime factors (factors that are also prime numbers).
ie. </span>
=
=
=
Hope this helped!!!
The first two steps work for solving large perfect squares as well.
1. Divide your number into perfect square factors.
2. Take the square roots of your perfect square factors.
3. If your number doesn't factor perfectly, reduce your answer to simplest terms.
4. If needed, estimate. In some cases if you have memorized some of the square roots, you can estimate where the number would be.
ie.
5. <span>Alternatively, reduce your number to its lowest common factors as your first step.</span><span> Finding perfect square factors isn't necessary if you can easily determine a number's prime factors (factors that are also prime numbers).
ie. </span>
=
=
=
Hope this helped!!!