Explain how you can use reasoning to compare two fractions with the same denominator
Answers
Answer 1
Answer:
When two fractions have the same denominator, you can compare which fraction is greater by just comparing the numerators.
For example, if you have 2/5 and 3/5, the denominators are the same. So you can just look at the numerators. 3 is greater than 5, so 3/5 is greater than 2/5.
The reasoning to this is that the two numbers are divided by the same number (5), so you can compare the original numbers (numerators).
For example, if you have 2/5 and 3/5, the denominators are the same. So you can just look at the numerators. 3 is greater than 5, so 3/5 is greater than 2/5.
The reasoning to this is that the two numbers are divided by the same number (5), so you can compare the original numbers (numerators).
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Answers
Answer:
d(x) = 1/2x + 2
Step-by-step explanation:
Swap x and y:
x = 2y - 4
Add 4 to the other side:
x + 4 = 2y
Divide by 2:
y = 1/2x +2
Answer:
see explanation
Step-by-step explanation:
let y = 2x - 4
Rearrange making x the subject, add 4 to both sides
2x = y + 4 ( divide both sides by 2 )
x =
Change y back into terms of x, hence
(x) =
whats the answer
Answers
the answer would be 64 since the equation is 32:_=12:24, and 12:24 simplified would be 1:2, 32 times two would be equal to 64, making the ratio complete and correct.
Hope this helps
Hope this helps
32: __ = 12 : 24
32 divided 3 = 12
so that means __ divide 3 should be 24
24 * 3 = 72
Plug it in:
32:72 = 12: 24
Does 32:72 simplify to 12:24? Yes, so it should be your answer... unless the question is asking for something else.
32 divided 3 = 12
so that means __ divide 3 should be 24
24 * 3 = 72
Plug it in:
32:72 = 12: 24
Does 32:72 simplify to 12:24? Yes, so it should be your answer... unless the question is asking for something else.
Answers
ok so since she makes groups of 5 an no left over, the number is divisble by 5
means that it ends with 5 or 0
possible ones are
5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95
groups of 2, will have 1 jelly bean left over
it is not divisble by 2, means it doesn't end with 0 (ending with 0 means it is divisible by 10, and 10 is divisible by 2)
5,15,25,35,45,55,65,75,85,95
groups of 3
not divisble by 3 (a hack to test, is that you add the digits and if the sum is divisble by 3, then the number is divisble), the list below is eliminated numbers divisble by 3
5,25,35,55,65,85,95
if makes group of 2 will have exactly 1 left over
5/3 has remainder of 2, eliminate
25 works so far (2*12=24,3*8=24,4*6=24)
35/4 has remainder of 3, eliminate
55/4 has remainder of 3, eliminate
65/3 has remainder of 2, eliminate
85 works
95/3 has remainder of 2,eliminate
the ones that work are 25 aand 85
she could have 25 or 85 jelly beans
means that it ends with 5 or 0
possible ones are
5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95
groups of 2, will have 1 jelly bean left over
it is not divisble by 2, means it doesn't end with 0 (ending with 0 means it is divisible by 10, and 10 is divisible by 2)
5,15,25,35,45,55,65,75,85,95
groups of 3
not divisble by 3 (a hack to test, is that you add the digits and if the sum is divisble by 3, then the number is divisble), the list below is eliminated numbers divisble by 3
5,25,35,55,65,85,95
if makes group of 2 will have exactly 1 left over
5/3 has remainder of 2, eliminate
25 works so far (2*12=24,3*8=24,4*6=24)
35/4 has remainder of 3, eliminate
55/4 has remainder of 3, eliminate
65/3 has remainder of 2, eliminate
85 works
95/3 has remainder of 2,eliminate
the ones that work are 25 aand 85
she could have 25 or 85 jelly beans
so we are told that if the teacher makes the number of jelly beans she has (call that x) into groups of 2, 3, or 4 she'll have 1 jelly left over. to put that in math terms, x leaves a remainder of 1 when divided by 2, 3, or 4. This then implies that (x-1) is a multiple of 2, 3, or 4 (think about it!!!). all common multiples of 2, 3, or 4 must be a multiple of the LEAST common multiple of 2, 3 and 4. the least common multiple of those 3 numbers is 12. this means our common multiples can be:
12, 24, 36, 48, 60, 72, 84, 96 (we stop listing here because the number of jelly beans is less than 100)
this also means the possible number of jelly beans she can have is the numbers in the previous list plus 1 (remember it is x-1 NOT x that is the common multiple of 2, 3, 4):
13, 25, 37, 49, 61, 73, 85, 97
now we use our last clue which is if the teacher groups her jelly beans in groups of 5 there will be none left over. this is equivalent to saying that the number of jelly beans is a multiple of 5. we look through our 2nd list and find that only 25, and 85 is a multiple of 5. therefore the number of jelly beans the teacher can have is 25 and 85.
note that we took the problem in steps and used process of elimination to determine which of the natural numbers less than 100 can be the answer to the question. this is a very very good strategy in problem solving, but it can be challenging to know what order to take the "steps" but that can be mastered with patient practice.
let me know if you have any questions!!!!
12, 24, 36, 48, 60, 72, 84, 96 (we stop listing here because the number of jelly beans is less than 100)
this also means the possible number of jelly beans she can have is the numbers in the previous list plus 1 (remember it is x-1 NOT x that is the common multiple of 2, 3, 4):
13, 25, 37, 49, 61, 73, 85, 97
now we use our last clue which is if the teacher groups her jelly beans in groups of 5 there will be none left over. this is equivalent to saying that the number of jelly beans is a multiple of 5. we look through our 2nd list and find that only 25, and 85 is a multiple of 5. therefore the number of jelly beans the teacher can have is 25 and 85.
note that we took the problem in steps and used process of elimination to determine which of the natural numbers less than 100 can be the answer to the question. this is a very very good strategy in problem solving, but it can be challenging to know what order to take the "steps" but that can be mastered with patient practice.
let me know if you have any questions!!!!
Answers
Yes, it's the same.
Answers
50 points decreased by 26% is 37 points.
50 points decreased by 26% is 37 points.
First off lets find 26% of 50.
26 / 100 * 50 = 13.
Since we are decreasing, we subtract this value from 50 points.
= 50 - 13 = 37 points.
OR
Since we are decreasing we say 100% - 26% = 74%.
We now perform 74% of 50 = 74/100 * 50 = 37.
Either method is correct, and we arrive at the same answer.
So it is 37 points.
26 / 100 * 50 = 13.
Since we are decreasing, we subtract this value from 50 points.
= 50 - 13 = 37 points.
OR
Since we are decreasing we say 100% - 26% = 74%.
We now perform 74% of 50 = 74/100 * 50 = 37.
Either method is correct, and we arrive at the same answer.
So it is 37 points.
Find f(0)
Answers
Answer:
5
Step-by-step explanation:
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