Answer:
Step-by-step explanation:
A right triangle is formed.
300 miles and 400 miles are the legs of the triangle.
We can apply Pythagorean theorem.
Answer:
Step-by-step explanation:
Solution :
hello :
note :
Use the point-slope formula.
y - y_1 = m(x - x_1) when : x_1= -1 y_1= 5
m= the slope is : (YC - YA)/(XC -XA)
(-1-2)/(0-3) = -3/-3 =1
( parallel to AC means same slope)
an equation in the point-slope form is : y -5 = 1(x+1)
y=x+6
Answer:
The wedding planner must have purchased 28 small lanterns and 12 large lanterns.
Step-by-step explanation:
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:
B. 4t=27
Step-by-step explanation:
let t be the price of one ticket,
since there are 4 people buying tickets in total, the price of 4 tickets would be 4t.
so 
.
