Answer:
(a) 150
(b) 384
(c) 84
(d) 261
(e ) 480
Step-by-step explanation:
(a)
Let 'a' be a number such that the half of his third is 25; i.e.
Hence, the number is 150.
(b)
Let 'b' be the number such that the quarter of his half is 48 i.e.
Hence the number is 384.
(c)
Let 'c' be the number such that the third quarter or, increased by 17 is 80.
Hence, the number is 84.
(d)
Let 'd' be the number such that its triplet, reduced by 28 is 755
Hence the number is 261.
(e
Let 'e' be the number such that double his third, increased by 80 is 400.
Hence, the value of the number is 480.
This is the concept of scales factors, given that two similar solids with 729 inches^3 and 125 inches^3. The volume scale factor will be given by:
(volume of larger solid)/(volume of smaller solid)
=729/125
but
linear scale factor=(volume scale factor)^1/3
thus the linear scale factor will be:
(729/125)^1/3
=9/5
Also, area scale factor will be given by:
area scale factor=(linear scale factor)^2
=(9/5)^2
=81/25
The area of the larger solid will be given by:
let the area be A;
A/74.32=81/25
thus
A=81/25*74.32
A=240.7968 inches^2
Answer:
$ 22.6
Step-by-step explanation:
Given that
Price charged for each box of seeds = x
Profit gained from from selling boxes of seeds = p
The equation of profit is modeled as
P(x) = 0.5x² + 36x - 179
As per given information if the fundraisers make a profit of $379 then find the minimum price charged for each box of seed.
Now our above equation becomes
379 = -0.5x² + 36x - 179
Simplifying
379+179 = -0.5x² + 36x
558 = -0.5x² + 36x
0.5x² - 36x + 558 =0
multipying both sides of equation by 2
2(0.5x² - 36x + 558) = 2x0
x² - 72x +1116 = 0
Using quadratic formula we get the following factors
x= 49.4 or x= 22.60
As we can the smalles value is 22.6
So, they can charge 22.6 dollar for each bag of seeds in order to get profit of 379 dollars.
Answer:
D. -11/12
Step-by-step explanation:
Slope Formula: 
Simply plug in our coordinates:
m = (4 - 15)/(0 + 12)
m = -11/12
