After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.
Step-by-step explanation:
You can find the amount of students each vehicle can carry by representing the two scenarios in equations.
You are trying to find how many students will fit in each bus or van, so the two variables used will be "b" to represent how many students can fit in a bus and "v" to represent how many students can fit in a van.
High school A used 1 van and 6 buses, so there will be 1"v" and 6"b" for 372 students.
High school B used 4 vans and 12 buses, so there will be 4"v" and 12"b" for 780 students.
Now, represent these in equations:
We can use substitution to solve this system:
can be rewritten as after subtracting 6b from both sides. You can then substitute this new value of "v" into the other equation to solve for "b":
After solving for b, you can then substitute the new value of b into the other equation to find the value of v:
After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.
Initial cash on hand : $200.00
Ticket cost : $87.96
T-shirt cost per piece: $30.00
The first thing Staci needs to do is to deduct the cost of the ticket from her money.
$200 - 87.96 = $112.04
Stacy has the extra amount of 112.04 to purchase t-shirts. Since, each t-shirt costs $30. To know the number of shirts she can buy, she must divide the difference by 30.
$112.04 / $30 = 3.73
Based from the quotient, Stacy can buy 3 t-shirts.
$30 * 3 = $90 total cost of the tshirts.
$112.04 - 90 = $22.04
After buying the ticket and 3 tshirts, Staci has an excess of $22.04 from her $200.
Answer:
0.0025551
Step-by-step explanation:
Given that:
Mean (m) = 40000
Standard deviation (s) = 2500
P(x < 33,000) :
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (33000 - 40000) / 2500 = - 2.8
p(Z < -2.8) = 0.0025551 ( Z probability calculator)
Probability of Tyre wagering out before mileage limit is reached = 0.0025551
Answer:
proved that x=9
Step-by-step explanation:
A line that splits an angle into two equal angles. ("Bisect" means to divide into two equal parts)
so <CAB=<DAB
7x+2=5(x+4)
7x+2=5x+20
7x-5x=20-2
2x=18
x=9