Answer:
x = 3/2 y + 3
Step-by-step explanation:
2x – 3y = 6.
Add 3y to each side
2x – 3y+3y = 3y+6.
2x = 3y+6
Divide each side by 2
2x/2 = 3y/2 + 6/2
x = 3/2 y + 3
So, the first thing is that the group requires flashlight to cross the bridge. It also means that each time one person must return to bring back the flashlight.
Chris and Tracy cross the bridge in 2 minutes. ( The maximum time required by both of them would be 2 minutes)
Then Chris would return with flashlight in 1 minute.
Ashley and Jalen then cross the bridge in 10 minutes.
Now, Tracy will return with flash light in 2 minutes.
Then, Chris and Tracy will cross the bridge in 2 minutes.
<u>Total</u><u> </u><u>time</u><u> </u><u>taken</u><u> </u><u>=</u><u>></u> 2+1+10+2+2 <u>=</u><u>></u> 17 minutes.
<em>Hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>
Answer: Either 2, 5, or 8
This means the number 426 is divisible by 6. So are 456 and 486
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Explanation:
A number is divisible by 6 if both of the following are true
- The number is divisible by 2
- The number is divisible by 3
This is simply because 6 = 2*3. So if 6 is a factor of a number, then 2 and 3 must be factors.
- To have 2 be a factor, the units digit must be in the set {0,2,4,6,8} which is the case here (the units digit is 6 in this case). Therefore we know the number is a multiple of 2 regardless of what the other digits are.
- To have 3 be a factor, the digits must add up to a multiple of 3. Through trial and error, we see that 0 doesn't work because 4+0+6 = 10 which is <u>not</u> a multiple of 3. Same goes for 4+1+6 = 11, but 4+2+6 = 12 is a multiple of 3.
Therefore, 426 is a multiple of 6
Increment that middle digit 2 by 3 and we jump from 426 to 456. Those three digits add to a multiple of 3 as well (4+5+6 = 15). Following that line of logic, we go from 456 to 486 as the last possible three digit number that has these conditions of having 4 first and 6 last, and the number is a multiple of 6.
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In short,
The numbers 426 and 456 and 486 are all multiples of 6 since they are multiples of 2 and 3 at the same time.
So we could replace that middle digit with either 2, 5 or 8.
Answer:
D
Step-by-step explanation: