Answer:
190 children and 150 adults
Step-by-step explanation:
1. 1.25x + 2y = 537.5
2. x + y = 340
Here, x represents the children and y represents the adults.
Again, the first equation represent the cost of tickets, while the second represents the number of people.
From the above equation, we can solve for x and y
From equation 2,
x + y = 340
x = 340 - y
Substitute for x in equation 1
1.25x + 2y = 537.5
Then,
1.25(340 - y) + 2y = 537.5
Expand the bracket
425 - 1.25y + 2y = 537.5
Collect like terms
-1.25y + 2y = 537.5 - 425
0.75y = 112.5
y = 150.
To get the value of x, substitute for y in equation 2
x + y = 340
x + 150 = 340
x = 340 - 150
x = 190
Therefore,
There were 190 children and 150 adults at the pool that day
Answer:
Bow ties: 1/5
Cheese sauce: 1/4
Bow ties with cheese sauce: 1/20
Step-by-step explanation:
There are 3 different questions here.
First, you have the pasta question. What is the probability you'll end up with bow ties? Well, there are 5 kinds of pasta, all with the same chance to be chosen... so you have 1 chance out of 5 to pick bow ties.
Then the sauce. Same logic... 4 different sauces... so 1/4 chance to get the cheese sauce.
For the bow ties and cheese sauce combo, it's a bit different, we're talking about compound probabilities here.
So, you have to multiply the probability to get bow ties with the probability to get cheese sauce, so:
To have infinite solutions, they have to be th esame line
match waht we do know
bx-6y=18
the coefient of y is -6
other one is
2x-3y=9
-3 times 2=-6
times 2nd equation by 2
4x-6y=18
bx-6y=18
b=4
Answer:
60
Step-by-step explanation:
So 36 divided by 3 is 12, and which then, we know that Rashed made 12 free throws in 1 minute, and then when we multiply by 5, we can know the free throws he will make in 5 minutes.
Answer:
40 feet
Step-by-step explanation:
4+4+8+4+12+8
= 40 ft.