Answer:
the two positive consecutive integers are 4 and 6.
Step-by-step explanation:
Let the smaller integer be s; then s^2 = (s + 2) + 10.
Simplifying, s^2 - s - 2 - 10 = 0, or
s^2 - s - 12 = 0.
Solve this by factoring: (s - 4)(s + 3) = 0.
Then s = 4 and s = -3.
If the first even integer is 4, the next is 6. We omit s = -3 because it's not even.
The smaller integer is 4. Does this satisfy the equation s^2 = (s + 2) + 10?
4^2 = (4 + 2) + 10 True or False?
16 = 6 + 10 = 16.
True.
So the two positive consecutive integers are 4 and 6.
Divide total miles by miles per gallon:
364 miles / 20 miles per gallon = 18.2 gallons
Answer:
x=19/5
Step-by-step explanation:
x*2+8x=38
10x =38
5+5= 10
por que 5 +5 es diez
Answer: x=34
Step-by-step explanation:
1. You subtract 2x from 5x on the other side to get rid of the 2x leaving you with 3x.
2. Then you add 5 to 97 to get rid of the -5, giving you 102 on the opposite side.
3. divide 102 by 3x giving you 34.
5x-5=2x+97
-2x -2x
3x-5=97 <u><em>X=102</em></u>
+5 +5
3x=102
x/3 102/3