Explain how you can determine if 1/3 and 4/12 are equivalent fractions

We can determine if they are equivalent fractions if we find a number (or conversion factor) that when miltiplied by the denominator and the numerator of the original fraction results in the fraction that we want to know if it is equivalent.

original fraction:

if we multiply the numerator 1 and the denominator 3 by 4, we get:

we find that is an equivalent fraction of 1/3 because we can find it by multiplying the numerator and denominator of 1/3 by the same number. In this case that number is 4.

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

38.5

step-by-step explanation:

lets say, first number = r

second number = 3r+7

total = 49

(r)+(3r+7)= 49

4r+7 = 49

4r = 42

r = 42/4

r= 10.5

3r+7 = 3(10.5)+7 = 38.5

hope this