Answer:
B.
Step-by-step explanation:
process of elimination. the red dot is not a 1/4 of the number of lines, so it cant be 12.25, 13.625 is impossible because it has a value less than 13, and 12.625 is impossible as well because it has a value less than 12.5 therefore 12.375 is the best answer, and the only correct answer
Answer: The rate of change decreased.
Step-by-step explanation:
Step-by-step explanation:
Although I cannot find any model or solver, we can proceed to model the optimization problem from the information given.
the problem is to maximize profit.
let desk be x
and chairs be y
400x+250y=P (maximize)
4x+3y<2000 (constraints)
according to restrictions y=2x
let us substitute y=2x in the constraints we have
4x+3(2x)<2000
4x+6x<2000
10x<2000
x<200
so with restriction, if the desk is 200 then chairs should be at least 2 times the desk
y=2x
y=200*2
y=400
we now have to substitute x=200 and y=400 in the expression for profit maximization we have
400x+250y=P (maximize)
80000+100000=P
180000=P
P=$180,000
the profit is $180,000
Your father will require 14.6 cups of sugar for the larger group
<h3>Ratio and proportions</h3>
From the question, we have that 2.5 cups of sugar can be used to make recipes for 6 people that is;
6 people = 2.5 cups of sugar
In order to calculate for 35 people, we will have;
35 people = x
Taking the ratio of the expressions
6/35 = 2.5/x
6x = 87.5
x = 87.5/6
x = 14.6
Hence your father will require 14.6 cups of sugar for the larger group
Learn more on ratio and proportions here: brainly.com/question/19994681
Answer:
Gallons of gas use for work and errands is <u>10</u>.
Step-by-step explanation:
Given:
Jack purchases 12 gallons of gas on Monday. He uses 2/3 of the amount purchased commuting to and from work during the week and an additional 2 gallons running errands.
So, to find the gallons of gas Jack use for work and errands:
Now, to get the amount of gas used to and from work during the week
.
Additional 2 gallons of gas running errands.
Now,<em> total gallons of gas use for work and errands = 8 gallons + 2 gallons</em>
<em> = 10 gallons.</em>
Therefore, gallons of gas use for work and errands is 10.
