Answer:
We have that the sum of two numbers is 9
this can be written as:
x + y = 9
where x is the larger number.
Now we want to write:
"the difference between one more than the larger number and twice the smaller number"
First, remember that the difference between A and B is:
A - B
Then "the difference between one more than the larger number and twice the smaller number"
is:
"one more than the larger number" = ( x + 1)
"twice the smaller number" = 2*y
the difference between these is:
(x + 1) - 2*y
Now we can simplify:
We know that:
x + y = 9
then:
y = 9 - x
replacing that in the equation:
(x + 1) - 2*y
we would get:
x + 1 - 2*(9 - x)
x + 1 -18 + 2x
(x + 2x) + (1 - 18)
3x - 17
This means that we can write:
"the difference between one more than the larger number and twice the smaller number"
as: 3x - 17
6/3 + 2/3 = (6 + 2)/3:
4 + 3/8 - (6 + 2)/3
6 + 2 = 8:
4 + 3/8 - 8/3
Put 4 + 3/8 - 8/3 over the common denominator 24. 4 + 3/8 - 8/3 = (24×4)/24 + (3×3)/24 + (8 (-8))/24:
(24×4)/24 + (3×3)/24 + (8 (-8))/24
24×4 = 96:
96/24 + (3×3)/24 + (8 (-8))/24
3×3 = 9:
96/24 + 9/24 + (8 (-8))/24
8 (-8) = -64:
96/24 + 9/24 + (-64)/24
96/24 + 9/24 - 64/24 = (96 + 9 - 64)/24:
(96 + 9 - 64)/24
| 1 |
| 9 | 6
+ | | 9
1 | 0 | 5:
(105 - 64)/24
| 0 | 10 |
| 1 | 0 | 5
- | | 6 | 4
| 0 | 4 | 1:
Answer: 41/24 or decimal 1.70833333.....
Answer:
2x
Step-by-step explanation:
A fraction is something like 1/2 which is the same as half of one or 1/4 which is a fourth of one