Answer:
Z max = 1500
x₁ = 15
x₂ = 0
Step-by-step explanation:
From problem statement:
Plant A Plant B Profit $/each
Product 1 (Doors ) x₁ 2 4 100
Product 2 (windows ) x₂ 3 4 80
Product 2 (windows ) x₂ above 10 is scrap
Objective function to maximize
z = 100*x₁ + 80*x₂
Subject to:
Plant A capacity
2*x₁ + 3*x₂ ≤ 40
Plant B capacity
4*x₁ + 4*x₂ ≤ 60
Windows condition:
0*x₁ + x₂ ≤ 10
Model:
Max z = 100*x₁ + 80*x₂
Subject to:
2*x₁ + 3*x₂ ≤ 40
4*x₁ + 4*x₂ ≤ 60
x₂ ≤ 10
x₁ , x₂ ≥ 0 and integers
Afther 6 iterations using Simplex Solver AtomZmath
Z max = 1500
x₁ = 15
x₂ = 0
What is the result of subtracting the second equation from the first?
-4x-2y=-2
x-2y=9
Answer:
x=2.2
y=-3.4
Step-by-step explanation:
subtract the second from the first
-5x=-11
x=2=2
substituting by x in the first equation
so y=-3.4
What is the surface area of the prism below?
A
216 ft2
B
312 ft2
C
432 ft2
D
10,800 ft2
which of the following angles is coterminal with 250°?
Which of the following describes the square root of 41. 5,6 6,7 20,21 40,42
Answer:
6,7
Step-by-step explanation:
the squre root of 41 is 6.403
Approximately what percentage of hardcover books sold were nonfiction?
Answer:
B
Step-by-step explanation:
If 4 is 1/2 , what is the whole?
Question 1 (1 point)
A decorator is wallpapering a wall with a circular window of diameter 1.00 m.What is the
area of the wall in square feet? (1 m - 3.2808 feet)
3
Answer:
95.875 [tex]ft^{2}[/tex]
Step-by-step explanation:
1.) Calculate the area of the trapezoid
A(trapezoid) = (1/2)*(base1 + base2)*h = (1/2)*(2.6+3.6)*3 = (1/2)*6.2*3 = 9.3
2.) Calculate the area of the circle
radius = (1/2)*(diameter) = (1/2)*1 = 0.5
A(circle) = (1/2)*[tex]\pi[/tex]*[tex]r^{2}[/tex] = (1/2)*[tex]\pi[/tex]*([tex]0.5^{2}[/tex]) = (1/2)*[tex]\pi[/tex]*0.25 = 0.125*[tex]\pi[/tex] = 0.392699
3.) Because the area of the circle is not included in the wall, subtract the area of the circle from the area of the trapezoid:
A(trapezoid)-A(circle) = 9.3-0.392699 = 8.9073 [tex]m^{2}[/tex]
4.) Convert to [tex]ft^{2}[/tex]:
Because 3.2808 feet are in a meter and the unit of the answer is in [tex]m^{2}[/tex], we need to multiply the answer by ([tex]3.2808^{2}[/tex]) to get to [tex]ft^{2}[/tex].
8.9073*([tex]3.2808^{2}[/tex]) = 8.9073*10.7636 = 95.875 [tex]ft^{2}[/tex]
Please just give me the answer
9514 1404 393
Answer:
8
Step-by-step explanation:
The Pythagorean theorem tells you of the relation ...
x² + 6² = 10² . . . . . . . . . squares of sides total to the square of hypotenuse
x² = 100 -36 = 64 . . . . . subtract 6²
x = √64 = 8 . . . . . . . . . . square root
The length of side x is 8 units.
Students in an Introductory Statistics class at BYU-Idaho were studying prices of cold cereal at grocery stores in Rexburg. To get a sample of cold cereal prices, they went to Albertson's and rolled a die to decide which box from the left of the top shelf they would start on. They then recorded every 6th cereal after the first, moving from left to right down the shelves, recording the name, size, and price of each cereal in their sample. Is this study an experiment or an observational study, and why
Answer: Observational study
Step-by-step explanation:
The study illustrated in the question is an observational study. It is referred to as an observational study, because in this case, the price of the individual cereals us not being controlled by the students. They've no control over it.
If it was an experiment, there'll have been a control group and the students will have control over the price. Also, the sampling methods used here is a systematic random sampling.
a circle has a diameter of 18. the sector has a central angle of 30 degrees. what is the area of the sector?
Answer:
21.21
Step-by-step explanation:
Area of a circle is A = π r^2
Variables:
r = 18/2 = 9
θ = 30 deg
Find the area:
A = π r^2
A = π 9^2
A = 254.47
Find the area of the sector:
θ/360 * A
= 30/360 * 254.47
= 21.21
Please mark brainliest if this helped!
Please mark brainliest if this helped!
Which is the correct stem-and-leaf plot for the data set?
16, 15, 47, 41, 40, 39, 16, 37
Answer:
the first plotting was correct.
Step-by-step explanation:
the values will be arranged in an ascending order from their roots which are the first digit
how do i find a unit rate
Answer:
numerator divided by denominator
Step-by-step explanation:
0.7km in miles
Please answer
Answer:
0.43496 miles
Step-by-step explanation:
To convert from km to miles you can divide the km by 1.609 and that should give you an aproximate value for miles.
Please awnser correctly! I will mark you as Brainliest!
find the value of x... assume segments that appear tangent are tangent.
Answer:
x=12
Step-by-step explanation:
a^2 + b^2 = c^2
5^2 + b^2 = 13^2
25 + b^2 = 169
b^2= 144
b=12 Therefore,
x=12
Find the area of the shaded region.
Answer:
area = 3.44 in²
Step-by-step explanation:
area of square = 4 x 4 = 16 cm²
area of circle = (3.14)(2²) = 12.56 cm²
area = 16 - 12.56 = 3.44 in²
The measure of ∠CBD is 45% of the measure of ∠ABC. Find the value of x.
Answer:
x = 49.5°
Step-by-step explanation:
∠ABC = 90°
∠CBD = 45%∠ABC
∠CBD = 0.45(90)
∠CBD = 40.5°
x = ∠ABC - ∠CBD
x = 90 - 40.5
x = 49.5°
1. Select all of the situations below that model this fraction. *
Captionless Image
A. 243 people were at the park. 20 people were playing volleyball. How many people were not playing volleyball?
B. Marcy's bookshelf had 20 shelves. She had 243 books. How many books would go on each shelf if she put the same number of books on each shelf?
C. Josh made $243 in 20 days. How much did he earn each day?
D. Sally and Len bicycled 243 miles in 20 days. How many miles did they bicycle each day?
Answer:
A. 223 were not playing volleyball
B. 12 books on each shelf with 3 books left over..
C. 12.15$ a day
D. 12.15 miles per day.
Step-by-step explanation:
A. Subtract 20 from 243.
B. Since books cant be divided into fractions, you take 243 divided by 20, which is 12.15. However, we have to say 12 with 3 leftover because books isn't money, a distance measure, etc. and cannot be cut into pieces.
C. 243 / 20 is 12.15
D. 243 / 20 is 12.15
Gabe can travel 40 miles on his motorbike in the same time it takes Dena to travel 15 miles on her bicycle. If Dena rides her bicycle 20 mph slower than Gabe rides his motorbike, find
Dena's rate.
Answer:
answer is 12 miles vause he can travel faster
Step-by-step explanation:
what is 3x-11 ≥ 7x + 9
Answer:
The answer is x is greater than or equal to -2
Step-by-step explanation:
I just did the math by hand
Answer: x ≤ -5
Step-by-step explanation:
3x - 11 ≥ 7x + 9
3x ≥ 7x + 20
-4x ≥ 20 when dividing negative numbers, change the sign to the opposite.
x ≤ -5
which expression is equivlent to 12(2x-3y+4)
Answer:
24x-36y+48
hope this helps :)
24x - 36y + 48 is equivalent to 12(2x-3y+4)
Find the surface area to the nearest whole number.
Only type in the numerical answer.
Answer:
342
Step-by-step explanation:
Given
Shape: Rectangular prism
The missing dimensions are:
[tex]Length = 5 ft[/tex]
[tex]Width = 6 ft[/tex]
[tex]Height = 12 ft[/tex]
Required
Determine the surface area
The surface area is calculated as:
[tex]Area = 2(Length * Width + Length * Height + Width *Height)[/tex]
This gives:
[tex]Area = 2(5ft* 6ft+ 5ft * 12ft+ 6ft*12ft)[/tex]
[tex]Area = 2(30ft^2+ 60ft^2+ 72ft^2)[/tex]
[tex]Area = 324ft^2[/tex]
WILL GIVE BRAINLIEST FOR BEST ANSWER NO LINKS!!!!*Use the data from the dot plot below to answer the question. The data shows games of a soccer season and the number of goals scored in each game.
Which goals were scored the fewest amount of times during the soccer season?
Question 5 options:
3
0, 7
1, 4, 5, 6
2
0, 7
0 and 7 have the least amount of dots.
Dr. Jones deposited $500 into an account that ears 6% simple interest. How many years will it take for the value of the account to reach $2000
Answer:
50 years
Step-by-step explanation:
Given data
Principal= $500
Rate= 6%
Amount = $2000
The simple interest expression is given as
A=P(1+rt)
Substitute
2000= 500(1+0.06*t)
open bracket
2000=500+ 30t
2000-500=30t
1500=30t
t= 1500/30
t= 50 years
Hence the time is 50 years
Answer:
50 years
Step-by-step explanation:
Formula for simple interest:
I = Prt
where
I = interest earned
P = principal amount deposited
r = annual interest rate
t = number of years
When the account reaches $2000, $500 is from the principal and
$2000 - $500 = $1500 is from the interest.
We use the simple interest formula to find the number of years needed to earn $1500 in interest from $500 principal at 6% interest rate.
1500 = 500 * 0.06 * t
t = 50
Answer: 50 years
Click the location of the point in the coordinate plane with the coordinates (–4, 3).
Answer:
I've put the red dot where location is.
Step-by-step explanation:
n^2-8n=0
can i have the work shown?
Answer:
n=1/8N^2
Step-by-step explanation:
n^2-8n=0
-8n=-N^2
n=1/8N^2
Daphne wants to buy a coat that costs $80. The store has a sales tax of 6.5%. How much tax will Daphne be charged if she buys the coat?
Answer:
$85.2
Step-by-step explanation:
Answer:
85.2 dollar
Step-by-step explanation:
Tax is 5.2 because 80 times 0.065 is that, then you add them up
Describe how oral traditions, proverbs, and music are key features of Africa's cultural legacy.
==================================================================
Even if you spam the question or just use it for points GodBless you!! : 3
Answer:
like egip
Step-by-step explanation:
Consider the following pair of equations:
y = −2x + 8
y = x − 1
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answer:
y = -2x + 8
x = 3
y = x - 1
y = 2
Step-by-step explanation:
if 2x + y = 8 and x - y = 1
you can solve using substitution, elimination, matrix etc.
You will find that x = 3 and y = 2
Hope this helped.
Worth 50 points
The table shows the inputs and corresponding outputs for the function f(x) = StartFraction 1 Over 8 EndFraction(2)x. A 2-column table with 5 rows. Column 1 is labeled x with entries 0, 2, 4, 6, 8. Column 2 is labeled f (x) with entries StartFraction 1 Over 8 EndFraction, one-half, 2, 8, 32. Find the following values of the function. f -1 (one-half) = f -1 (8) =
Answer:2,6
Step-by-step explanation:Edge2021
Answer
2,6
Step-by-step explanation: