I believe she would get a 90
9514 1404 393
Answer:
(x, y, z) = (1/3, 2/3, 1)
Step-by-step explanation:
We can use the first equation to write an expression for x that can be substituted into the other equations.
x = 1 -y
2(1 -y) -y +z = 1 ⇒ -3y +z = -1
(1 -y) +2y +z = 8/3 ⇒ y +z = 5/3
Subtracting the first of these equations from the second gives ...
(y +z) -(-3y +z) = (5/3) -(-1)
4y = 8/3
y = 2/3
z = 5/3 -y = 1
x = 1 -y = 1/3
The solution is (x, y, z) = (1/3, 2/3, 1).
In the secant secant theorem,
AP × BP = CP × DP
AP × 6 = 7 × 12
AP = 7 × 2 = 14
Answer: 14
First you need to figure out the cost of the skateboard after the discount but before the sales tax. By doing 100%-12% you figure out how much of the original cost you are paying 88%. Then you multiply 79.99(original cost) and 88%(how much you pay) which gets you 70.39. Then you figure out the sales tax by multiplying 70.39 by 6.75% which gives you 4.75(the sales tax). And the last thing you need to do is add the cost before tax(70.39) and the tax(4.75).
The skateboard costs $75.14