9514 1404 393
Explanation:
(a) Keep in mind the meaning of the variables:
x = PS4 units soldy = X.box 1 units soldWith these definitions in mind, we can examine the constraints.
x ≥ 0 . . . . . we cannot sell a negative number of PS4 units
y ≥ 0 . . . . . we cannot sell a negative number of X.box 1 units
y ≥ 5 . . . . . we intend to sell at least 5 X.box 1 units
y ≤ 10 . . . . we cannot sell more than 10 X.box 1 units
x + y ≤ 10 . . . . . we can sell at most 10 units total
(Please note that the constraints y ≥ 0 and y ≤ 10 are redundant to other more restrictive conditions.)
__
(b) The objective function tells us the total profit:
P(x, y) = 100x + 80y
__
(c) Juan's goal: P(2, 7) = 100(2) +80(7) = 200 +560 = 760
Justin's goal: P(4, 5) = 100(4) +80(5) = 400 +400 = 800
Meeting Justin's goal would result in more profit.
__
(d) It is not possible to sell a negative number of units*, so negative values for the variables do not make any sense. (This is consistent with the x≥0, y≥0 constraints above.)
_____
* Some linear programming problems plan for a certain number of returned items. Those could be considered to be negative sales.
The area of the rectangular school garden is 24 square units. The length of the garden is 8 units. What is the length of the fence needed to enclose the entire garden?
HELP ONE EASY QUESTION WILL GIVE BRAINLIEST
y = 5x - 22
3x + 2y = 34
solve above for x and y
Answer: so you know y so you have to plug that in for the y on the bottom and you have to find x.
Step-by-step explanation: x=1.40 and y= 5x-22
Can someone plz help me with this one problem plzzzzz!!! Explain
Answer: 7 yards
Step-by-step explanation:
WILL GIVE BRAINLIEST, NO LINKS
Find the area of the polygon.
Answer:
166.3
Step-by-step explanation:
line that shows 8, shows that each of six sides is 8
so that's 48
to get the "apothem"
it means get a side of the triangle where the hypotenuse is 8 and the base is 4 (half of 8)
so that is square root of 48 which is like 6.928
then plug into the formula
1/2 x 6.928 x 48 which is like 166.27
Solve for X I need help please
Answer:
Step-by-step explanation:
Angles EBC and EDC are the same. and straight lines equal 180
so now to solve for x
[tex]180=134+10x+6\\180-134=134+10x+6-134\\46=10x+6\\46-6=10x+6-6\\40=10x\\40/10=10x/10\\4=x[/tex]
PLEASE HELP WAITING 3 HOURS NOW
NO NONSENSE WILL REPORT
Solve the inequality for x.
-15 + x ≤ - 13
Simplify your answer as much as possible.
A car rental company sells accident insurance to 22% of its customers. Out of 350 customers, about how many customers are predicted to purchase insurance?
Answer:
77 customers
Step-by-step explanation:
Given data
Percentage of customers= 22%
Total customers= 350
Let us find 22% of 350
=22/100*350
=0.22*350
=77 customers
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answer:
1/3
Step-by-step explanation:
i used the points (0,-2) and (3,-1) to find the slope:
(-2--1) / (0-3) = -1/-3 or 1/3
I choose four different integers. When I add all the pairs of these numbers in turn, the totals that I obtain are
23
,
26
,
29
,
32
and
35
, with one of these totals being repeated.
What is the largest of the four integers
The integers are 10, 13, 16 and 19 which add up to get a total of 23, 26, 29, 32 and 35
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The integers are 10, 13, 16 and 19 because:
10 + 13 = 23; 10 + 16 = 26; 10 + 19 = 29
Also;
13 + 16 = 19; 13 + 19 = 32 and 19 + 16 = 35
The integers are 10, 13, 16 and 19 which add up to get a total of 23, 26, 29, 32 and 35
Find out more on equation at: https://brainly.com/question/2972832
I need help and if you can explain it would help alot!
what is the measure of m 8 and 4
(find m)
Another bowler, Ryan Shafer, has a mean absolute deviation of 5. Based on the mean absolute deviation of Norm Duke, who has been the more consistent bowler?
Answer:
Ryan is a more consistent performer
Step-by-step explanation:
The complete question is
HEL 1. Shown are the final scores for Norm Duke in the past eight bowling tournaments.
299, 281, 285, 269, 280, 269, 286, 287
Part A: What is the mean absolute deviation of Norm Duke’s scores?
A.
7.50
B.
7.00
C.
7.25
D.
6.75
Part B: Based on the mean absolute deviation from Part A, who has been the more consistent bowler if Ryan Shafer has a mean absolute deviation of 7?
Solution
First we will find the mean deviation of Duke is 7.5
The standard deviation of Ryan is 7.0. This means that the average variation in case of Duke is higher than that of average variation of Ryan.
Hence, Ryan has been more consistent performer
Write the equation of the line that is perpendicular to y=2x-7 and passes through the point (6, 5)
A. y=2x-2
B.y= -1/2x+8
C.y=-1/2x-8
D.y=2x=2
Answer:
B
Step-by-step explanation:
we are given a equation of a line
we want to figure out the equation of the perpendicular line passes through the (6,5) points
in order to do so
recall that,
[tex] \displaystyle m_{ \text{perpendicular}} = - \frac{1}{m} [/tex]
we got from our given equation that m=2
because equation of a line is y=mx+b
thus
[tex] \displaystyle m_{ \text{perpendicular}} = - \frac{1}{2} [/tex]
remember that, when we want to figure out perpendicular line or parallel line we should the formula given by
[tex] \displaystyle y - y_{1} = m(x - x_{1})[/tex]
since we got our perpendicular m is -½, [tex]x_1=6[/tex] and [tex]y_1=5[/tex], substitute
[tex] \displaystyle y - 5 = - \frac{1}{2} (x - 6)[/tex]
to get the perpendicular equation you should simplify the above equation to y=mx+b form
distribute -½:
[tex] \displaystyle y - 5 = - \frac{1}{2} x + 3[/tex]
add 5 to both sides:
[tex] \displaystyle y = - \frac{1}{2} x + 8[/tex]
hence,
our answer choice is B
Type the correct answer in each box. Use numerals instead of words. If necessary, useType the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Jane arranges m chairs in each of n rows to seat x people. The formula to find the number of chairs in each row is m = . If 60 people attend the meeting and each row has 4 chairs, there are rows. / for the fraction bar(s). Jane arranges m chairs in each of n rows to seat x people. The formula to find the number of chairs in each row is m = . If 60 people attend the meeting and each row has 4 chairs, there are rows.
Answer:
m = x / n
n = 15
Step-by-step explanation:
Number of chairs per row = m
Number of rows = n
Number of people = x
Number of chairs per row, m = number of people, x / Number of rows, n
m = x / n
If number of attendees, x = 60 ;
Number of chairs per row, m = 4
The number of rows, n = number of attendees / number of chairs per row, m
Hence, n = 60 / 4 = 15 rows
Calculate the curved surface area of a cylindrical container 10cm diameter, length 18cm take the value of pie to 3.14
Answer:
56.52 cm^2
Step-by-step explanation:
curved surface area = 2πrh
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
10 / 2 = 5
2 x 3.14 x5 x 18 = 56.52 cm^2
Question 4 of 10
Which choices are equivalent to the expression below? Check all that apply.
416
O A. 74.36
OB. 16.6
O C. 196
D. 724
O E. 96
IF. 132. 13
Help easy 5th grade Math
Answer:
625 in3
Step-by-step explanation:
I cut the shape into two different shapes; square and rectangle
Square volume: 5 x 5 x 5= 125 in3
Rectangle volume: 20 x 5 x 5 = 500 in3
Total volume: 500 + 125 = 625 in3
Notes for proportional relationships can you give me notes to write down lol
Answer:
Step-by-step explanation:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
Sophia has $6,000 to invest. She is considering two investment options. Option A pays 2.2% simple interest. Option B pays 2% interest compounded annually. Use the drop-down menus below to choose which option is the best choice for Sophia for each number of years.
Answer:
Option A and option B
Step-by-step explanation:
Given that
Sophia wants to invest $6,000
There are two investment options
Option A pays 2.2% simple interest
and, Option B pays 2% interest compounded annually
Now we need to find out which option is the best choice
In the case when Sophia wants to invest for 10 years, so she should select
option A as the investment will have highest value.
In the case when Sophia wants to invest for 20 years, so she should select
option B as the investment will have highest value.
Simplify, dont have to show work
3c-10c
Im not 100% sure what youre asking but if the value for C isnt given then it would be -7c because 3-10 is -7
(if theres a value for C can you let me know I can solve the actual thing it it would help more just lmk :)
Answer:
-7c
Step-by-step explanation:
your welcomeeeeeeeeee
what is the sum of 3,9
Answer:
3 + 9 = 12 !
Step-by-step explanation:
CONGRUENT FIGURES
EACH SET OF SHAPES ARE CONGRUENT. FOR CACH SIDE OR
ANGLE LISTED BELOW CACH BLANK. WRITE THE
CORRESPONDING SIDE OR ANGLE TO CREATE YOUR CODE. Plz for the love of God help me this is so so over due
Answer:
p-o
u-t
e-l
s-d
r-w
b-z
a-n
Step-by-step explanation:
Graph the logarithmic function f(x) = log2(x - 1) + 2.
anyone know this pls help
Answer:
I graphed it for you in the image below.
Step-by-step explanation:
Graph the logarithmic function f(x) = log2(x - 1) + 2 is attached below.
What is a function?The function is referred to as a particular kind of relationship, every value in the domain is associated with exactly one value in the range. They have a set perimeter and territory.
It is given that the logarithmic function is, f(x) = log2(x - 1) + 2.
The first step in graphing a logarithmic function is to locate some points on the exponential f. (x). The graph will look better as we plot more points, and we can flip the x and y values to get points on the opposite axis. locate the asymptote. The following logarithmic functions can be graphed. Specify the domain and the range.
Thus, the graph is attached below.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
The average customer at Longhorn Steakhouse spends $26.00 per meal with a
margin of error of 10%. How is the maximum it would cost you if you pay for you
and your date?
$72.00
$57.20
$64.60
$28.60
An envelope has a perimeter of 30 inches. Its area is 50 square inches. What are the dimensions of the
envelope?
inches by
inches
Answer:
10x5
Step-by-step explanation:
5
10 10
5
10x2=20
5x2=10
10+20=30
10x5=50
evaluate show the solution of 14C6 and 15C4
Answer:
Evaluate each expression for a = 4, b = 2, and c = 5.
c − a
Im sorry to interrupt but I really need help
Answer:
if player wins by spining the greater number, spinner b should be chosen. However, if the game is won by spinning the lesser number , spinner a should be chosen.
Find the percent of decrease or increase, Round to the nearest tenth of a percent.
24 Workouts to 30 Workouts
Answer:
where are the questions
Step-by-step explanation:
did you know mouses can scream
350 people watched a beauty contest. Some paid GH¢20.00 each while others paid GH¢30.00 each. The total amount collected was GH¢8,800.00. Find how many paid the two different rates.
Answer: 170 people paid GH¢20 and 180 people paid GH¢30
Step-by-step explanation:
Let the number of people that paid GH¢20 be represented by x.
Let the number of people that paid GH¢30 be represented by y.
Based on the above information given, we can form an equation which will be:
x + y = 350 ....... i
20x + 30y = 8800 ....... ii
Multiply equation i by 20
20x + 20y = 7000 ...... iii
20x + 30y = 8800 ...... iv
Subtract iii from iv
10y = 1800
y = 1800/10
y = 180
Since x + y = 350
x = 350 - y.
x = 350 - 180
x = 170
Therefore, 170 people paid GH¢20 and 180 people paid GH¢30
The perimeter of a chalkboard is 14 feet. The board is 4 feet long. How tall is it?
feet
Answer:
3 feet
Step-by-step explanation:
P=2(a+b)
14=2(4+b)
14=8+2b
2b=6
b=3
Answer:
3 feet tall
Step-by-step explanation:
14-4-4=6 divided by 2=3 feet tall on two side