Answer: 2mp
Step-by-step explanation: Let "b" represent the speed of the boat in still water
Let "c" represent the speed of the current
Let "t" represent time
Downstream(same direction) =(b+c)*t
Upstream(against current)=(b-c)*t
(b+c)*3=24
(b-c)*4=16
3b+3c=24....all sides can be divided by 3 =b+c=8
4b-4c=16.....all sides can be divided by 4 =b-c=4
Use Elimination method
b+c=8
b-c= 4 Subtracting
=====
2c=4
find c by dividing both sides by 2. c=2
if c=2, substitute to get b
b+2=8
-2=-2
======
b=6
Speed of boat in still water =6mph
rate of current=2mp
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.
5.) Answer: 0.45
Step-by-step explanation:
There is 1.5 quarts of paint, and 30% is yellow.
30% of 1.5 is 0.45.
6.) Answer: 7.198
Step-by-step explanation:
$499.99 is 100%. We need to find $35.99 off of it in percentage.
499.99/35.99 = 100/x
499.99x = 3599, x = 3599/499.99
x ≈ 7.198
Answer:
5 visits
Step-by-step explanation:
70 + 12.5 = 82.5 points
145 - 82.5 = 62.5
62.5 ÷ 12.5 = 5
5 visits.
