The answer is 108 .......
Times the two radicals together
So it's:
8*sqrt 15*5 (find common numbers between 5 and 15 which is 5)
8*sqrt(5^2*3)
8*5 sqrt3
40 sqrt 3
Hope this helped :)
<h3>
Answer: 9t+8(101-t)</h3>
Work Shown:
t = number of hours tutoring
101-t = number of hours working as a waiter
The expressions t and 101-t add to 101.
9t = amount earned as a tutor, at $9 an hour
8(101-t) = amount earned as a waiter, at $8 an hour
9t+8(101-t) = total amount earned from both jobs
This does not account for taxes or other fees. Optionally, you can distribute the 8 through the (101-t) terms, then combine like terms to simplify.
Answer:
B
Step-by-step explanation:
Givens
a^2 + b^2 = c^2
a = 4x
b = x + 2
c = 3x + 4
Solution
(4x)^2 + (x + 2)^2 = (3x + 4)^3 Remove all the brackets.
16x^2 + x^2 + 4x + 4 = 9x^2 + 24x + 16 Collect like terms on the left
17x^2 + 4x + 4 = 9x^2 + 24x + 16 Subtract the terms on the right
8x^2 - 20x - 12 = 0
This factors into
(4x - 12)(2x + 1)
There are 2 answers
4x - 12 = 0
4x = 12
x = 12/4
x = 3
or
2x + 1 = 0
2x = - 1
x = - 1/2
You have to look at x = -1/2 carefully. The problem is that 4x = 4*(-1/2) = - 2 which is not possible in Euclidean Geometry.
So the only answer is x = 3
Answer:
$84.75 over budget
Step-by-step explanation:
Barts' budget is 285.75
Bills: 240 + 130.50 = $370.50
(subract by his budget)
370.5 - 285.75 = $84.74
:)
