Answer:
Let's define the variables:
A = price of one adult ticket.
S = price of one student ticket.
We know that:
"On the first day of ticket sales the school sold 1 adult ticket and 6 student tickets for a total of $69."
1*A + 6*S = $69
"The school took in $150 on the second day by selling 7 adult tickets and student tickets"
7*A + 7*S = $150
Then we have a system of equations:
A + 6*S = $69
7*A + 7*S = $150.
To solve this, we should start by isolating one variable in one of the equations, let's isolate A in the first equation:
A = $69 - 6*S
Now let's replace this in the other equation:
7*($69 - 6*S) + 7*S = $150
Now we can solve this for S.
$483 - 42*S + 7*S = $150
$483 - 35*S = $150
$483 - $150 = 35*S
$333 = 35*S
$333/35 = S
$9.51 = S
That we could round to $9.50
That is the price of one student ticket.
Answer:
60 minutes
Step-by-step explanation:
to find this, we will first determine how long it takes austin to run one mile.
18 miles / 180 minutes
1 mile / 10 minutes
it takes austin to run 10 minutes to run 1 mile
now, we will multiply the number of minutes it takes by 6 to find how long it takes austin to run 6 miles.
1 mile / 10 minutes
6 miles / 60 minutes
it takes austin 60 minutes to run 6 miles
You subtract normally inside the absolute value (the two bars):
-4-3 is -7
Since the negative is INSIDE the absolute, the answer will turn to a positive. Think of the bars as a jail cell for the negatives. Once the negatives are in there, only positive numbers will come out. So your answer is 7.
Answer:
Step-by-step explanation:
p² + 14p + 49 = p² + 2 * 7p + 7²
Comparing with a² + 2ab + b²,
a= p and b = 7
So 2ab = 2*p*7 = 14 p
So, p² + 14p + 49 is a perfect trinomial
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