Answer:
30% of the pages are arithmetic, or 108 pages
Step-by-step explanation:
50% are on algebra = 180 pages
360 x .5 = 180
20% are on geometry = 72 pages
360 x .2 = 72
30% are on arithmetic = 108
180 + 72 + 108 = 360 pages
50% + 20% + 30% = 100%
Answer:
x = 
Step-by-step explanation:
Given
-
=
← factor denominator
-
= 
[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]
Multiply through by x(x + 1)
4x² - 5(x + 1) = 4
4x² - 5x - 4 = 4 ( subtract 4 from both sides )
4x² - 5x - 9 = 0 ← in standard form
(x + 1)(4x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
4x - 9 = 0 ⇒ 4x = 9 ⇒ x = 
However, x ≠ - 1 for reason given above, then
solution is x = 
9514 1404 393
Answer:
Pia drove faster
Step-by-step explanation:
Speed is the ratio of distance to time. If the time is the same, the greater distance is associated with the greater speed.
Pia drove farther in 3 hours, so drove faster.
The thing that is required for a <span>proportional relationship would be that no matter what the order of the relationship is, it should be that if the function of x increases then x would increases as well or vice versa. Hope this helps. Have a nice day. Feel free to ask more questions. </span>
Answer:

Step-by-step explanation:
let length of calble = L
distance from 10-foot pole = x ft
Moving from the top of the 10-foot pole to point x, we have
From the diagram that

Take the square root of both sides

Moving from point x to the top of the 12-foot pole, we have
From the diagram that

Take the square root of both sides

Amount of cable used, L = L1 + L2
