<span>1/4(x + 16) - x =
First, distribute the 1/4.
= 1/4x + 1/4 * 16 - x
= 1/4x + 4 - x
= 1/4x + 4 - 4/4x
= 1/4x - 4/4x + 4
= -3/4x + 4

</span>
Answer:
12 kilograms
Step-by-step explanation:
Let's construct an equation for her profits, we will call it P(x), where x is the number of kilograms produced/sold.
We know she has -$108 profit from buying supplies, and for each kilogram she produces, she earns -$16 (or loses $16, if earning negative money bothers you). However, we also know that she earns $25 per kilogram sold.
Constructing the equation with this information, we get: 
Setting this equation to zero and solving for x:



Answer:
a) 8.103 g
b) 9.2948
c) 0
Step-by-step explanation:
Given:
Data reported:
9.314 g, 9.215 g, 9.323 g, 8.103 g, 9.278 g, and 9.344 g
Now,
All the values except the 8.103 are above 9
Here the data 8.103 varies very much with respect to the other values
Hence,
a) the data 8.103 should be excluded
b) average value of the mass of the penny = 
= 9.2948 g
c) Deviation = Mean - Data
9.2948 - 9.314 = -0.0192
9.2948 - 9.215 = 0.0798
9.2948 - 9.323 = -0.0282
9.2948 - 9.278 = 0.0168
9.2948 - 9.344 = -0.0492
Thus,
Average deviation from mean = tex]\frac{-0.0192 + 0.0798 -0.0282 + 0.0168 -0.0492 }{5}[/tex]
= 0
Answer:
(p-q)(1+x)
Step-by-step explanation:
p-q-x(q-p)
p-q-xq+xp
p+xp-q-xq
p(1+x)-q(1+x)
(p-q)(1+x)
Answer:
Step-by-step explanation:
14 x 8 = 112