This is a problem of
fact families, but <em>what is fact families?</em> Well it is a family of four things. Two of them are additions and two of them are subtractions. So this question asks about fact families by w<span>riting the <em>subtraction fact two ways</em>. So we have:
</span><span>
First way. So let's take the number 10 and explain this problem using triangles. Let's say that we have 10 triangles in the beginning:
</span>Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ
So I want to take away 3 triangles, then by taking away 3<em> what is left? </em>Well the answer is 7:
Δ Δ Δ Δ Δ
Δ Δ
That is, if we subtract 3 from 10 then the result is:
Second way. In this subtraction we take the same 10 triangles:
Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ
Now I want to take away 7 triangles, then by taking away 7 what is left is 3:
Δ Δ Δ
That is, if we subtract 7 from 10 then the result is:
Answer:
m= 1/10
Step-by-step explanation:
1. Move the terms so that will be 3m - 2m=-1/2 + 3/5
2. Subtract the m values so that will be 3m - 2m= 1 or m
3. Calculate the sum.
4. So the answer will be m= 1/10. M because we subtracted 2 from 3 which make us 1 so we say it m and 1/10 by doing 1/2 + 3/5.
Answer: A
Step-by-step explanation: the answer couldn’t be B since the point the graph starts is -2.
The slope of the line is -1/3 because that is how many points you go past to find the next point on the graph. So all of the 3x answers would not work
No. Even if the number of different digits in the cycle is 1 or 1 million, the method of finding the fraction is the same.
Here's one sample
x = 0.333333333333333333..... to infinity.
10x = 3.3333333333333333 .....
....x = 0.3333333333333333.... Subtract
9x = 3
x = 1/3 which you likely knew already.
A more complicated one would be
x = 0.123456712345671234567 ..... You have to indicate this goes to infinity.
1000000x = 1234567.1234567 .... to infinity
. . . . . . . . x = . . . . . . .0.1234567 ....
999999x = 1234567 divide by 999999
x = 1234567/999999 This might reduce but for the purposes of this question it does not matter. Notice the method is the same.
If you mean that does the cycle contain an infinite number of digits, then yes it does matter. There have to be an infinite number of them.
144. Use the formula for the volume of a cone, since the answer is in terms of pi disregard the pi in the formula and solve using (r^2)(h/3) which will give you the answer in terms of pi.