Answer: 
Step-by-step explanation:
Given :
re - writing the equation , we have
we need to find the value of a and b for which -2<x < 4 , this means that the roots of the quadratic equation are -2<x < 4.
The formula for finding the quadratic equation when the roots are known is :
- sum of roots(x) + product of root = 0
sum of roots = -2 + 4 = 2
product of roots = -2 x 4 = -8
substituting into the formula , we have:
, which could be written in inequality form as
comparing with , it means that :
11/20 is already reduced you cannot simplify this fraction
Answer:
<em>36%</em>
Step-by-step explanation:
"8 kg of mixed nuts containing 26% peanuts"
weight of peanuts: 26% * 8 kg = 0.26 * 8 kg = 2.08 kg
"5 kg ... that contain 52% peanuts"
weight of peanuts: 52% * 5 kg = 0.52 * 5 kg = 2.6 kg
Total weight of peanuts: 2.08 kg + 2.6 kg = 4.68 kg
Total weight of mixed nuts: 8 kg + 5 kg
percent of peanuts: (4.68 kg)/(13 kg) * 100% = 36%
let
r--------> Alvin's average paddling rate in km/hour
y -------> speed of the current
in km/hour
we know that
speed= distance/time
------> solve for distance
distance=speed*time
to Campsite against the current
speed=r-y-----> speed=(r-3)
time=8 hours
distance=(r-3)*8------> equation 2
From Campsite with the current
speed=r+y-----> speed=(r+3)
time=3 hours
distance=(r+3)*3------> equation 1
equate equation 1 and equation 2-----> because is the same distance
(r+3)*3=(r-3)*8----> 3r+9=8r-24----> 8r-3r=24+9-----> 5r=33----> r=6.6 km/hour
therefore
the answer is
Alvin's average paddling rate is 6.6 km/hour
Answer:
140
Step-by-step explanation:
280/2 = 140 apples
