So first, I would assign the small van a variable for how many people it can hold, or x.
So since it makes two trips,
2x
And since the other van can hold six more people,
2x + x + 6
And 57 people are transported:
3x + 6 = 57
We can then solve.
3x = 57 - 6
3x = 51
x = 17
So since we now know a small can hold 17 people, and we know that the larger van has 6 more seats, we can just say
17 + 6 = 23
So the large van has 23 seats.
Answer:
Step-by-step explanation:
<u>Approach 1 (trickier)</u>
<u>Approach 2 (easier)</u>
The answer to your three questions is....
A. -15
B. -8
C.14
Answer: -3y^3z^6(5y^4+z^2)
Explanation: The first number in the parenthesis has to be positive, so the GCF in this problem will be negative. The GCF between the coefficients is 3. The GCF between the y variable is y^3. The GCF between the z variable is z^6. We combine all of the GCFs to get an overall GCF: -3y^3z^6. Then we will factor it out of the two terms, giving us: -3y^3z^6(5y^4+z^2). You can check the answer by multiplying them to see if you get the original expression.
Answer:
Next year Aimee will be 13 years old
Step-by-step explanation:
Let's call Aimee's age A, and Jamie's age J.
From the information given, we have that:
A = (1/3) * J
A + 12 = (1/2) * (J + 12)
Using the value of A from the first equation in the second one, we have:
J/3 + 12 = J/2 + 6
J/2 - J/3 = 6
J/6 = 6
J = 36
Now we can find A:
A = (1/3) * 36 = 12
So next year Aimee will be 13 years old