9514 1404 393
Answer:
(x, y, z) = (1, 2, 3)
Step-by-step explanation:
The equations that result from reduction to row-echelon form are ...
x = 0.4 +0.2t
y = 5.6 -1.2t
z = t
Then t must have a value 5n+3 for 0 ≤ n < 1. That is, t=3.
x = 0.4 +0.2(3) = 1
y = 5.6 -1.2(3) = 2
z = 3
The integers that satisfy are (x, y, z) = (1, 2, 3).
Answer:
132 children and 88 adults
Step-by-step explanation:
let x represent the amount of kids and y represent the amount of adults.
since the problem says there was a total of 220 people at the fair an equation can be made
x+y=220
the problem tells that each childrens ticket was 1.5$ and each adult ticket was $4 and that a total of $550 was made that day, we can use the knowledge to make an equation:
1.5x + 4y = 550
using the equations we can make this systems of equations:
1.5x + 4y =550
x + y =220
solve the systems of equations by subracting y on both sides of th bottom equation:
x=220-y
since x is equivant to 220-y it can be substitued for x in the first equation to make this:
1.5(220-y)+4y =550
--solve for y--
y=88 - there were 88 adults
substute 88 for y in the second equation
x+88=220
--solve for x--
x=138 - there were 132 children
We should find the mean number of the tests.
This would be done like: (23+24+25)/3 = 24
After that, you should find the percentage or fraction like this 24/50
Then use the fraction as an estimate like this:
(24/50) * 3250 = 1560
The correct answer is 1560.
