#31
= - 8/-8
= 1
#32
= 28/7
= 4
#34 True
#35 True
#36 False
#37 False
#38 True
Answer:
about 30 seconds
Step-by-step explanation:
Alcohol sanitizer is good until the alcohol evaporates, about 30 seconds. It is a cleaner, that kills the pathogens already on your hands. If you recontaminate your hands, you need to reapply.
#6
Yes
Direct variation because Time increases cupcakes increases and vice versa
#B
Constant of proportionality represents the amount of time required per cupcakes
#7
Yes we can find it
We have to check the x and y values of the ordered pairs (x,y)
If y is decreasing with respect to increase in x then it's inverse variation
The area is one side times the other side
Make the other side x.
12x=42
x=42/12=3.5
The perimeter is 2x+2y where x and y are sides of the rectangle.
P= 2(3.5)+2(12)=7+24=31 inches
Hope this helps.
Answer:
16428 oranges
Explanation:
Total yield = number of trees × number of oranges in each tree
Initial yield = 600×24= 14400 oranges
To find the equation needed, let x = additional trees and y= total yield
Number of trees = 24 +x
Number of oranges in each tree = 600-12x
Equation of total yield y= (24+x)(600-12x)
y= 14400-288x+600x-12x²
y= -12x²+312x+14400
Using a graphing calculator, from the graph drawn for this quadratic equation, we notice that it is a parabola. Therefore to find the maximum value, we should find the maximum point which is at the vertex of the parabola, we use the formula x= -b/2a
A quadratic equation is such: ax²+bx+c
Therefore x =-312/2×-12
x= -312/-24
x= 13
So we can conclude that in order to maximise oranges from the trees, the person needs to plant an additional 13 trees. Substituting from the above:
24+x=24+13= 37 trees in total
y= -12x²+312x+14400= -12×13²+312×13+14400= -2028+4056+14400
=16428 oranges in total yield
