Answer:
See Step by step explanation
Step-by-step explanation:
Objective Function: z
x = number of contemporary style
y = number of farmhouse style
Costs
Carpentry costs:
15*2*x + 15*2,5*y = 30*x + 37,5*y
Painting costs
12*1,5*x + 12*1*y = 18*x + 12*y
Finishing costs
18*1,3*x + 18*1,2*y = 23,4*x + 21,6*y
Total costs:
30*x + 37,5*y + 18*x + 12*y + 23,4*x + 21,6*y
71,4*x + 71,1*y
z = 90*x + 85*y - ( 71,4*x + 71,1*y ) to maximize
z = 18,6*x + 13,9*y to maximize
Subject to:
First constraint:
Hours available in carpentry 3000
2*x + 2,5*y ≤ 3000
Second constraint
Hours available in painting 1500
1,5*x + 1*y ≤ 1500
Third constraint
Hours available in finishing 1500
1,3*x + 1,2*y ≤ 1500
Fourth constraint
Minimum quantity of contemporary style 500
x ≥ 500
Fifth constraint
Minimum quantity of farmhouse style 650
y ≥ 650
General constraints:
x ≥ 0 y ≥ 0 x , y integers
Model:
z = 90*x + 85*y - ( 71,4*x + 71,1*y ) to maximize
Subject to:
2*x + 2,5*y ≤ 3000
1,5*x + 1*y ≤ 1500
1,3*x + 1,2*y ≤ 1500
x ≥ 500
y ≥ 650
x ≥ 0 y ≥ 0 x , y integers
The mathematical expression for each of the constraints on the three processes.
Model z = 90*x + 85*y - ( 71,4*x + 71,1*y )
Subject to
2*x + 2,5*y ≤ 3000
1,5*x + 1*y ≤ 1500
1,3*x + 1,2*y ≤ 1500
x ≥ 500
y ≥ 650
x ≥ 0 y ≥ 0 x , y integers.
We, wants to maximize the total weekly profit.
What is the meaning of constraints?a constraint is a condition of an optimization problem that the solution must satisfy.
Objective function: z
x = number of contemporary style
y = number of farmhouse style
We have to find the cost
The carpentry costs is,
15*2*x + 15*2,5*y = 30*x + 37,5*y
The painting costs is
12*1,5*x + 12*1*y = 18*x + 12*y
The finishing costs is
18*1,3*x + 18*1,2*y = 23,4*x + 21,6*y
Therefore the total costs is,
30*x + 37,5*y + 18*x + 12*y + 23,4*x + 21,6*y
71,4*x + 71,1*y
z = 90*x + 85*y - ( 71,4*x + 71,1*y ) to maximize
z = 18,6*x + 13,9*y to maximize
Subject to the constraint;
The first constraint is,
The hours available in carpentry 3000
2*x + 2,5*y ≤ 3000
The second constraint is,
Hours available in painting 1500 so,
1,5*x + 1*y ≤ 1500
The third constraint is,
Hours available in finishing 1500 so,
1,3*x + 1,2*y ≤ 1500
Fourth constraint is,
The minimum quantity of contemporary style 500 so,
x ≥ 500
The fifth constraint is
The minimum quantity of farmhouse style 650 so,
y ≥ 650
The general constraints are,
x ≥ 0 y ≥ 0 x , y integers,
Therefore the Model z = 90*x + 85*y - ( 71,4*x + 71,1*y ) to maximize,
Subject to
2*x + 2,5*y ≤ 3000
1,5*x + 1*y ≤ 1500
1,3*x + 1,2*y ≤ 1500
x ≥ 500
y ≥ 650
x ≥ 0 y ≥ 0 x , y integers,
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A statistical question produces data that varies.
Which question below will produce data that varies?
How many days are in a leap year?
How many quarts are in a gallon?
How many senses are there?
How many students are in each class?
Answer:
How many students will be varied.
all other questions have definite answers.
Please hurry! What is the value of the expression when y=3?
12+ 4y2-7
A) 29
(B) 41
137
D
149
Step-by-step explanation:
[tex] = 12 + {4y}^{2} - 7[/tex]
[tex] = 12 + {4(3)}^{2} - 7[/tex]
[tex] = 12 + 4(9) - 7[/tex]
[tex] = 12 + 36 - 7[/tex]
[tex] = 48 - 7[/tex]
[tex] = 41[/tex]
I am confused with this
Answer:
Answer is A) HL
Step-by-step explanation:
What is the greatest common factor of 15 and 21?
The Greatest Common Factor of 15 and 21 is 3.
What is Greatest Common Factor?The greatest common factor is the largest number that is a factor of two or more numbers (GCF). The greatest number (factor) divides them, yielding a Natural number. Once all of the number's variables have been identified, there are a handful that are shared by both. The greatest common factor is the largest number found among the common factors. The GCF is often referred to as the Highest Common Factor (HCF)
Given:
We have to find the greatest common factor of 15 and 21 .
So factorizing each number
15 = 3 x 5
21 = 3 x 7
So, the Greatest Common Factor is 3.
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9 times what number equals 800?
Answer:
9 times 800/9 equals 800. (Answer is 800/9)
Step-by-step explanation:
Key skills needed: Equation, Division, Fractions
1) Let's say the number is the variable "x".
2) So this means 9 times x = 800
9x = 800
3) Divide both sides by 9 and you will get x equal to 800/9. If you want this in mixed number form, it is --> 88 8/9
Hope you understood and have a nice day!! :D
88.8888888889
The equation to any of these sorts of questions is the larger number (800) divided by the smaller number (9).
You can check your answer by multiplying the quotient by the smaller number (9). If you get the larger number (800), you were correct, anything else, the equation was done wrong.
Hope this helps, if not, comment below please!!!
Which number line shows the solution of -6x + 18 < 30?
Answer:
number line a
Step-by-step explanation:
-6x +18 < 30
-6x < 12
x> -2
Answer:
its c
Step-by-step explanation: you subtract 18 from the left and add it to the right so you add 18 to 30 which gets you 48 then you divide 48 by -6 and reverse < to > since your dividing this by a negative
hopefully you understand give me a rate please!
Garth's taxable income last year was $97,450. According to the tax table
below, how much tax does he have to pay if he files with the Single status?
Answer:
$21,013
Step-by-step explanation:
What is cos(47)=x/3 solve for x
The equivalent value of {x} is equivalent to 2.046.
What is cosine function?The cosine function (or cos function) in a triangle is the ratio of the adjacent side to that of the hypotenuse.
Given is the expression as -
cos(47) = x/3
We have the expression as -
cos(47) = x/3
{x} = 3 cos(47)
{x} = 3 x 0.682
{x} = 2.046
Therefore, the equivalent value of {x} is equivalent to 2.046.
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What is the equation of the line that passes through the point (1,3) and has a slope
of -- 32
Answer:
The equation of the line that passes through the point (1,3) and has a slope of -32.
[tex]y=-32x+35[/tex]
Please check the attached graph too.
Step-by-step explanation:
Given
Point (1, 3) The slope m = -32The point-slope form:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line (x₁, y₁) is the pointIn our case:
m = -32
(x₁, y₁) = (1, 3)
substituting m = -32 and (x₁, y₁) = (1, 3) in the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-3=-32\left(x-1\right)[/tex]
Add 3 to both sides
[tex]y-3+3=-32\left(x-1\right)+3[/tex]
Simplify
[tex]y=-32x+35[/tex]
Therefore, the equation of the line that passes through the point (1,3) and has a slope of -32.
[tex]y=-32x+35[/tex]
Please check the attached graph too.
what is the denominator for 3/8 ?
Answer:
Here we will simplify 3/8 to its simplest form and convert it to a mixed number if necessary. In the fraction 3/8, 3 is the numerator and 8 is the denominator.
Step-by-step explanation:
The length of a rectangle is 2x + 3. The width of the rectangle is x - 2. Which of the following represents the perimeter of the rectangle?
Answer:
6x+2
Step-by-step explanation:
The perimeter is the sum of all of the sides. A rectangle has four sides. You multiply each equation by two, and add the two equations together.
coffee maker has the shape of a cone 10cm high with a radius of 6 cm at the top. The coffee maker is filled with water, and the water is allowed to drain out the bottom of the cone. Water is flowing out of the filter at a rate of 5 cubic centimerters per second. At what rate is the water level in the cone falling when it is 5cm from the bottom of the cone.
Answer: the rate of the water level in the cone falling when it is 5cm from the bottom of the cone is -0.1768 cm/sec
Step-by-step explanation:
Given the data in the question;
H/h = R/r
10/5 = 6/r
r 1 = 30/10 = 3
Also
10/h = 6/r
r2 = 6h/10 = 3/5 × h
Volume = 1/3πr²h
V = 1/3 × π × (3/5 × h)² × h
V = 1/3 × π × 9/25 × h³
V = 3π/25 × h³
Now
dv/dt = 3π/25 × 3 × h² × dh/dt
-5 = 3π/25 × 3 × 25 × dh/dt
-5 = 3π × 3 × dh/dt
-5 = 9π × dh/dt
dh/dt = -5/9π
dh/dt = -0.1768 cm/sec
therefore, the rate of the water level in the cone falling when it is 5cm from the bottom of the cone is -0.1768 cm/sec
Sameen bought 2 1/5 pounds of carrots for $6.60 at the rate how much would 1pound of carrots cost
Answer:
$3.00
Step-by-step explanation:
8x+6x=112+1x+7x=89
solve this
Sheldon and Leonard are partners in a business. Sheldon makes $2 in profits for every $5 that Leonard makes. If Leonard makes $20 profit on the first item they sell, how much profit does Sheldon make?
Sheldon makes a profit of $8.
What profit share ratio?The ratio of profit share in a partnership is always constant irrespective of the amount of profit.
Given,
Sheldon makes $2 in profits for every $5 that Leonard makes.
Therefore, ratio of profits of Sheldon and Leonard is 2/5.
If Leonard makes profit of $20
Then, Sheldon's profit / Leonard's profit = 2/5
Sheldon's profit / 20 = 2/5
Sheldon's profit = $8
Hence, Sheldon makes a profit of $8 If Leonard makes $20 profit.
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Factor the polynomial. 5n^2 +10n
Hi there!
[tex]\large\boxed{5n(n + 2)}[/tex]
Factor the polynomial by finding the GCF from each term:
5n² + 10n
Both terms share "5n", so we can factor this out of the expression:
5n(n) + 5n(2)
5n(n + 2)
I need help to get good grade
Answer:
scale factor: 3
Step-by-step explanation:
For this I will take both A and A' points. So A is (2,2) and A' is (6,6) and since the shape increased in size that means our scale factor must be greater than 1. So all that we have to do is know is how did we get from this x value to that x value or in other words 2 times what equals 6 and it's 3. Then we would do the same for the y value but since it would be the same 2 times what equals 6 and it's still 3 so 3 is the scale factor.
HELP I WILL NAME YOU BRAINIEST !!!!!!!!!!!!!
Go to your math tools and open the Graph tool to graph Gwen’s and Tristan’s equations. Hint: To create the graph, select the correct relationship and then enter the values for the variables. You will need to change the scales for the x- and y-axes. When deciding the scale, ask yourself what x and y stand for, and what would be reasonable amounts for their minimum and maximums.
Do the two lines intersect? Why or why not? What does this mean in terms of the situation? If the lines intersect, at what point do they intersect and what does this point mean in terms of the situation? Paste a screenshot of your graph in the space provided.
Part E
Go to your math tools and open the Graph tool to graph Gwen’s and Keith’s equations. Be sure to remove Tristan’s equation before adding Keith’s equation.
Do the two lines intersect? Why or why not? What does this mean in terms of the situation? If they intersect, at what point do they intersect and what does this point mean in terms of the situation? Paste a screenshot of your graph in the space provided.
Answer:
The graph of the equations (y = 10x + 100), (y = 10x), and (y = 12.5x) can be drawn by using the rules of transformation.
Given :
y = 100 + 10x
y = 10x
y = 12.5x
The following steps can be used to sketch the graph of the given line (y = 100 + 10x):
Step 1 - First sketch the graph of (y = x).
Step 2 - Then Multiply the x-axis by a factor of 10. The resulting graph is the graph of (y = 10x)
Step 3 - Then find the y-intercept from the given equation. Then draw the line that passes through (0,100). The resulting line is the graph of (y = 100 + 10x).
The following steps can be used to sketch the graph of the given line (y = 10x):
Step 1 - First sketch the graph of (y = x).
Step 2 - Then Multiply the x-axis by a factor of 10. The resulting graph is the graph of (y = 10x)
The following steps can be used to sketch the graph of the given line (y = 12.5x):
Step 1 - First sketch the graph of (y = x).
Step 2 - Then Multiply the x-axis by a factor of 12.5. The resulting graph is the graph of (y = 12.5x)
The graph of all the equations together is attached below.
Red line shows the graph of (y = 10x + 100).
Blue line shows the graph of (y = 10x)
Green line shows the graph of (y = 12.5x)
Step-by-step explanation:
Which expression is equivalent to 4t + 3t
Answer:
C
Step-by-step explanation:
i think
Answer:
C. 7t
Step-by-step explanation:
What we know:
We are looking for an expression equal to 4t + 3t.
There are 4 choices:
1. 7t²
2. 7 + 2t
3. 7t
4. 12t
The answer does end in t, but is only one term, so B is eliminated.
An exponent is not involved either, so A is also eliminated.
It shows an addition sign, not multiplication, so D is also out.
This leaves C, which is 7t.
Doing this mathematically, add like terms.
4t + 3t
7t
The answer to (-15) + 33
Answer:
18
Step-by-step explanation:
33-15=18
Answer:
18
Step-by-step explanation:
Which point is located at (8, 6)?
PLEASE PLEASE PLEASE ANSWER! I MARK BRAINLIEST!
Answer:
Go to the right 8 times from the
0,0 point and after you go right 8 times go up 6 times then there you go.
Step-by-step explanation:
Read answer
What is the average of all multiples of five from 5 to 50 inclusive
Answer:
add all the multiples together then divide by 10?
275/10 = 27.5
What is x/6 + 1 = 4 and what is 7x + 4 = 11
Answer:x/6 + 1 = 4
x= 18
7x+ 4=11
x=1
Step-by-step explanation:
For both questions do inverse operation.
Look at pic to see how it was solved ;)
hope it helps
I NEED HELP ASAP!!
Select all the correct answers.
You're given two side lengths of 3 centimeters and 5 centimeters. Which measurement can you use for the length of the third side to construct a
valid triangle?
8 centimeters
6 centimeters
ооооо
4 centimeters
10 centimeters
2 centimeters
Answer:
8 and 2
Step-by-step explanation:
5+3=8
5-3=2
An airplane leaves the ground in Seattle at 11:23PM on Tuesday and lands in San Francisco 1AM. Compute the average speed of the plane while it is in the air. Express your answer in meters per second to appropriate precision (pay attention to significant figures), SHOW YOUR WORK.
Answer:
223.34 m/s
Step-by-step explanation:
Given :
Travel time = 11 :23 pm to 1:00 a. M = 1 hour 37 minutes = (60 + 37) = 97 minutes = (97 * 60) = 5820 seconds
Distance between Seattle and San Francisco is
807.7 miles (culled from the internet)
807.7 miles = 1299867.1 meters
Average speed = Distance covered / Time taken
Average speed = 1299867.1 m / 5820 s
Average speed = 223.34486
Average speed = 223.34 m/s
Does anyone know the value of x and y?!?!
Answer:
x=4 and y=2
Step-by-step explanation:
I'm not 100% sure but I substituted different numbers into the equation:
If x=4 and y=2 then 4+2=6 and 3x2=6 so it would be 6=6
Another option is x=7 and y=3 then 7+2=9 and 3x3=9 so it would be 9=9
I'm more confident with x=4 and y=2 because of the small size of the triangle.
I hope this helps! Good luck! :)
m + 4 = 17
Please help
Answer: m=13
Step-by-step explanation:
Basically you solve this by finding out what plus 4 equals 17. You can do this by subtracting 4 from 17.
17-4=13
This is how you find the value of m.
Answer:
13!
Step-by-step explanation:
first subtract 4 on both sides!
m+4=17
m+4-4=17-4
simplify/subtract 17-4=13!
(also stop reporting my comment and my answers!)
A school club sold 143 balloons for $3.50 each. They bought 150 balloons for $1.29 each, plus $8.92 for shipping. How much did they make selling balloons?
Answer:
OMG, Nickkkkk. It's Nyla from your 3rd block math classs. Lol, I literally looked up this question with no luck of an answer.
Step-by-step explanation:
The school club made $298.08 by selling the balloons.
What is Profit?Profit is calculated as total revenue less total expenses.
Given that, a school club sold 143 balloons for $3.50 each. They bought 150 balloons for $1.29 each, plus $8.92 for shipping.
Cost of balloons when they brought them = 1.29*150 = $193.5
Total cost = $193.5 + (shipping price) = $193.5 + $8.92
Total cost = $202.42
Cost at which they sold the balloons = 143*$3.50 = $500.5
Therefore, their total profit = $500.5 - $202.42 = $298.08
Hence, The school club made $298.08 by selling the balloons
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Line a is parallel to line b. If the measure of 2 is 78 degrees, what is the measure of 8?
Answer:
78 degrees
Step-by-step explanation:
From the diagram;
<2 = 78 degrees
<2 = <6 = 78degrees (corresponding angles)
<6 = <8 = 78 degrees (vertically opposite angles)
Hence the measure of 8 is 78 degrees
Answer:
78 degrees
Step-by-step explanation:
There are 8 boys in a class, and these boys make up 40% of the total students. How many students in the class are girls? *
Answer:
12 girls
Step-by-step explanation:
do you want an explanation?
plz brainliest :)