9514 1404 393
Answer:
8
Step-by-step explanation:
If the integer is n, half of it is n/2. The next integer is (n+1) and 1/3 of it is (n+1)/3. You want ...
n/2 - (n+1)/3 = 1
n(1/2 -1/3) -1/3 = 1
n/6 = 4/3 . . . . . . . . add 1/3, simplify
n = 6(4/3) = 8
The integer is 8.
God loves all of you, remember that oK. Thts really all u need in life <333 and 210m is
Let x = speed and y = distance
y = x * 45
y = (x - 4) * 70
45x = 70x - 280
-25x = -280
x = 11.2
Put it back into the first equation:
y = 11.2 x 45
y = 504miles
Hope this helps! Any questions let me know :)
Answer:
Step-by-step explanation:
1) Eliminate parentheses:
0.1x +18.8 = -4 +2x
22.8 = 1.9x . . . . . . . . . add 4 - 0.1x
12 = x . . . . . . . . . . . . . divide by 1.9
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2) Eliminate parentheses:
-16 +4x = 0.8x +12.8
3.2x = 28.8 . . . . . . . . add 16 - 0.8x
x = 9 . . . . . . . . . . . . . .divide by 3.2
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<em>Comments on the solutions</em>
The expression we add in each case eliminates the constant on one side of the equation and the variable term on the other side. That leaves an equation of the form ...
variable term = constant
We choose to eliminate the smaller variable term (the one with the coefficient farthest to the left on the number line). Then the constant we eliminate is the on on the other side of the equation. This choice ensures that the remaining variable term has a positive coefficient, tending to reduce errors.
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You can work these problems by methods that eliminate fractions. Here, the fractions are decimal values, so are not that difficult to deal with. In any event, it is good to be able to work with numbers in any form: fractions, decimals, integers. It can save some steps.
Answer:
$43.95
Step-by-step explanation:
15/100 × 293
= 43.95
