20 POINTS & BRAINLIEST TO WHO EVER SOLVE

PC-Express should use Excel Solver to find the optimal number of desktops and laptops to order, considering shipment limits and installation time, in order to maximize profits.

PC-Express, a computer retail store, aims to determine the optimal number of desktops and laptops to order in order to maximize profits. The company earns $600 on each desktop computer and $900 on each laptop sold. The manufacturer has a limit of 80 desktops and 75 laptops available for shipment. The installation process for desktops takes 2 hours per unit, while laptops require 3 hours. PC-Express has 300 hours of installation time available for the next month. The goal is to maximize profits by determining the ideal number of desktops and laptops to order.

To solve this problem, we can formulate a linear programming (LP) model. The decision variables would be the number of desktops (D) and laptops (L) to order. The objective function would represent the total profit, which is maximized. The constraints would include the limits on the number of desktops and laptops available for shipment, as well as the installation time constraint.

Using Excel Solver, we can input the LP model and find the optimal solution by maximizing the profit. The results will provide the optimal values for the number of desktops and laptops to order.

The sensitivity report generated by Excel Solver will provide valuable information about the LP model. It will show the impact of changes in the objective function coefficients (profits) and constraints (shipment limits and installation time) on the optimal solution. By analyzing the sensitivity report, PC-Express can understand how variations in these factors affect the optimal order quantities and make informed decisions to maximize profits.

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Answer:

Step-by-step explanation:

The parenthesis can cancel because the lack of anything you can do in them, so that will leave you with 7m + 3 + 7m + 6

Next step is to add like numbers, you should start by adding 7m + 7m, which would be 14m.

Next would be to add 3 + 6, which is nine.

To end this equation, simply put 14m + 9

There is no one-number answer because we do not know what m is. So the equation 14m + 9 is the final answer.

Answer:

$340

Step-by-step explanation:

because first i divided 3,400 by 800 because thats how many bags pf ice that was sold over the weekend and then I got 4.25 and then I did 4.25*80 and I got $340 and I hope this helps u let me know

Answer:  $340

Step-by-step explanation:

Create a proportion with the given values of 800 lbs = $3400

           \(\dfrac{dollars}{pounds}:\ \dfrac{3400}{800}=\dfrac{x}{80}\)

Cross Multiply:    800x = 3400(80)

Divide by 800:           x = 340

Answer:6.85565

Step-by-step explanation:

Answer:

x < 3

Step-by-step explanation:

2/3 x + 8 < 10

2/3 x < 10 - 8

2/3 x < 2

x < 2*3/2

x < 3

After answering the given query, we can state that  So in 200 probability experiments, we would anticipate that 120 times a white counter would be selected.

Calculating the chance that an event will occur or a statement will be true is the subject of probability theory, a branch of mathematics. A risk is a number between 0 and 1, where 1 denotes certainty and a probability of about 0 denotes the likelihood that an occurrence will occur. The likelihood that an occurrence will take place is mathematically expressed as probability. Probabilities can also be expressed as percentages ranging from 0% to 100% or as numbers between 0 and 1. the proportion of equally probable choices that actually happen in comparison to all other outcomes when a specific event occurs.

a. It is possible to calculate the percentage of black counters taken from the container as follows:

P(black) = 18/50 = 9/25 where P(black) = number of black counters chosen / total number of trials.

As a result, the odds of selecting a black number are 9/25.

b. Theoretically, the likelihood of selecting a black counter can be computed as follows:

P(black) = # of black counters / # of counters overall = 8 / (8 plus 12) = 2/5

Theoretically, there is a 2/5 chance of choosing a black counter.

c. The following formula can be used to determine how frequently a white marker would be selected in 200 experiments:

E(amount of white counters selected) = P(white) x total trials = (12 / 20) x 200 = 120

So in 200 experiments, we would anticipate that 120 times a white counter would be selected.

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Answer:

a. 19.9 acres per hour

b. 31.41 hours

c. 1st Combine: 370.6 acres

2nd Combine: 254.4 acres

d. 912.06 gallons

Explanation:

The first combine has a 12-row header and harvests 11.8 acres per hour using 1.5 gallons of diesel per acre.

The 2nd combine has an 8-row header and harvests 8.1 acres per hour using 1.4 gallons of diesel per acre.

Then, if we use both combines, the number of acres harvest in an hour can be calculated as the sum of the rate of each combine, so:

11.8 acres per hour + 8.1 acres per hour = 19.9 acres per hour

Now, we can use this rate (19.9 acres per hour) to know the number of hours to harvest 625 acres of corn as:

So, both combines take 31.41 hours to harvest all the corn.

To know how many acres each combine harvest, we will use the total number of hours and the rate of acres per hour for each combine.

So, for the first combine, we get:

For the second combine, we get:

Finally, to know the total number of gallons used, we need to know the number of gallons for each combine.

So, for the first combine (1.5 gallons per acre), we get:

For the second combine (1.4 gallons per acre), we get:

Then, the total number of gallons of diesel fuel used were:

555.9 gallons + 356.16 gallons = 912.06 gallons of diesel.

So, the answers are:

a. 19.9 acres per hour

b. 31.41 hours

c. 1st Combine: 370.6 acres

2nd Combine: 254.4 acres

d. 912.06 gallons

Answer:

D.

Step-by-step explanation:

thats what the distributive property is

Answer:

A and D

Step-by-step explanation:

A. 7 x 391 = 7 x (300 + 90 + 1)

2737 = 7 x (391)

2737 = 2737 TRUE

B. 7 x 391 = 7 + (300 + 90 + 1)

2737 = 7 + (391)

2737 = 398 FALSE

C. 7 x 391 = (7 x 300) + 90 + 1

2737 = 2100 + 90 + 1

2737 = 2191 FALSE (plus isn't using the distributive property)

D. 7 x 391 = (7 x 300) + (7 x 90) + (7 x 1)

2737 = 2100 + 630 + 7

2737 = 2737 TRUE

E. 7 x 391 = 2,100 + 630 + 7 (isn't following the distributive property)

The simplified form of the given expression is 6x³-9x²-22x-8

To simplify a mathematical expression is to represent it in the least complicated form possible.

Given an expression, (-2x-1)(-3x²+6x+8)

(-2x-1)(-3x²+6x+8) = 6x³-12x²-16x+3x²-6x-8

= 6x³-9x²-22x-8

Hence, The simplified form of the given expression is 6x³-9x²-22x-8

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Answer:

The bottom right.

Step-by-step explanation:

Hope its correct.

Answer:

D

Step-by-step explanation:

Population denotes that heredity is the only factor that influences the diversity in intelligence within this population.

directly varying You have the function y = mx (commonly written y = kx), which is known as a direct variation, in the equation y = mx + b When x is not equal to 0, y = kx is the equation that describes the linear function known as direct variation. An equation of the form xy = k, where x is not equal to zero and k is a nonzero real number constant, describes the nonlinear function known as inverse variation.

given

Contrary to popular belief, heritability does not indicate how much genetics or environment contributed to an individual's unique traits.

Heritability only refers to a trait's variance within a population that correlates to genetic variations within that group.

We know, for instance, that monozygotic twins share 100% of their DNA, whereas dizygotic twins typically only share 50% of their genes.

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Answer:

1.2

Step-by-step explanation:

Since we are rounding it by the tenth, it means we are rounding to the 1st digit to the right of the decimal.

We know 7 is greater then 5 meaning we round up

.1 + .1 is equal to .2 meaning its 1.2

If you still don't understand, I recommend you talk to your teacher

Answer: The answer is 1.2

Step-by-step explanation: Since this is to the nearest tenth  we are looking at the  first two numbers after the decimal point the second number 7 is greater then 5 the first number will be  greater if it was less then 5 or 5 we would round down now  we discard the rest including the second number which leaves us with the rounded first number of 2 now it's 1.2

The values of r and s is -1 and -4 respectively.

Given that:-

coordinates of j are (-8,-5)

coordinates of l are (6,-11)

coordinates of k are (r-4,2s)

Also, k is the mid-point of jl.

We have to find the values of r and s.

We know that, for  (x,y) and (z,w), the mid-point is ((x+z)/2, (y+w)/2).

Here,

(x,y) = (-8.-5)

(z,w) = (6,-11)

(r-4,2s) = ((x+z)/2,(y+w)/2)

Hence,

(r-4,2s) = ((-8+6)/2,(-5-11)/2)

(r-4,2s) = (-1,-8)

Comparing the coordinates, we get:-

r - 4 = -1

r = -1+4 =3

2s = -8

s =-8/2 = -4

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The size of the square that should be cut from each corner to obtain maximum volume is 3.33 inches.

Let's assume that the size of the square to be cut from each corner is x. Therefore, the length of the base of the box would be 29-2x, and the width would be 16-2x. The height of the box would be x.

The volume of the box would be V = (29-2x)(16-2x)x = 4x^3 - 90x^2 + 464x.

To find the value of x that gives maximum volume, we can take the derivative of V with respect to x and set it to zero:

dV/dx = 12x^2 - 180x + 464 = 0

Solving for x, we get x = 3.33 inches (rounded to two decimal places).

Therefore, the appropriate size for each square is 3.33 inches.

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The probability of the given event is 1/9.

The odds against the event are 8 to 1.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

When we roll 2 dice, then

Sample space i. e possible outcomes are

{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 5), (1, 6),

(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6),

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

n(S) = 36

Let A be the event of getting a total of 5.

Therefore,

A = {(1, 4), (2, 3), (3, 2), (4, 1)}

⇒ n(A) = 4

⇒ P(A) = Probability of A = n(A) / n(S) = 1 / 36 = 1/9

(a) Probability of given event = 1/9

(b) Odds against the event = 1- P(A) / P(A)

                                             = (1 - 1/9) / (1/9)

                                             = (8/9) / (1/9)

                                             = 8/9 x 9/1

  Odds against the event    = 8/1

The reduced odds against the event are 8 to 1.

Hence, the probability of the given event is 1/9.

The odds against the event are 8 to 1.

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Answer: If you’re talking on a percentage basis, it would be extremely unlikely to get a majority of the questions correct.

Step-by-step explanation:

The p-value is a statistical measure used to determine the likelihood of observing a particular result or more extreme results, given the null hypothesis is true.

In this case, the null hypothesis is that the average amount Bob makes in tips per table is indeed $9.60, as claimed by the restaurant.

The p-value of 0.13 indicates that there is a 13% chance of observing an average tip amount as low as $8.95 or lower, assuming the null hypothesis is true.

In other words, if the restaurant's claim is accurate and Bob is just experiencing natural variation, there is a 13% probability of seeing an average tip amount as low as $8.95 or even lower.

Since the p-value is greater than the commonly used significance level of 0.05, which represents a 5% chance of seeing such a result due to random variation alone, we fail to reject the null hypothesis.

This means that the evidence does not provide strong enough support to conclude that Bob's average tip amount is significantly different from the claimed average of $9.60.

However, it is important to note that the p-value does not provide information on the direction of the difference.

It only tells us the likelihood of observing a result as extreme or more extreme than the one observed. So, even though Bob's average tip amount is lower than the claimed average,

the p-value alone does not determine whether the difference is statistically significant.

In summary, a p-value of 0.13 suggests that there is not enough evidence to conclude that Bob's average tip amount is significantly different from the claimed average of $9.60.

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Answer:

The slope is zero.

Step-by-step explanation:

Imagine the graph. \(y=3\) would simply be a horizontal line. All horizontal lines have slopes of 0. You can also use the slope formula if necessary to try it out.

On the other hand, if the line was vertical (e.g. \(x=3\)), then the slope would be undefined.

Answer: The line y=3 is a horizontal line, and a horizontal line has a slope of zero. The only lines parallel to a horizontal line are other horizontal lines. Therefore, there is no slope.

Step-by-step explanation:  y=3  rewritten as  y=0x+3

For a line equation for the form of y=mx+b, the slope is m

m=0

Answer:

96

Step-by-step explanation:

180-84=96

Answer:

84°

Step-by-step explanation:

m∠DCH = 84° (Given)

- Given

m∠FCB = 84° (Definition of Vertical Angles)

- Definition of Vertical Angles states that angles directly opposite of each other are the same measurement. In this case, the pair of opposite angles are: ∠DCH &  ∠FCB.

m∠ABE = 84° (Corresponding angles)

- Definition of Corresponding angles states that matching corners of parallel lines cut across by a Transversal are congruent. In this case, ∠FCB is corresponding to ∠ABE. m∠FCB = 84°, ∴ m∠ABE = 84°

No, we cannot draw a triangle with sides 3 cm, 3.5 cm, and 6.5 cm.

Let's understand the concept behind this:

Apply the triangle's length-of-sides property, which stipulates that the total of any two sides should be more than the value of the third side. Such a triangle cannot exist if there is any pair of sides whose sum is equal to or less than the third side.

We must determine whether the supplied side lengths constitute a triangle. We now understand that the triangle's third side should be greater than the sum of any two of its sides. Such a triangle cannot exist if there is any pair of sides whose sum is equal to or less than the third side. So, we'll try every combination and see if it meets the criteria.

Let’s assume AB = 3 cm, BC = 3.5 cm and AC = 6.5 cm.

AB + AC = 3 + 6.5 cm = 9.5 cm > 3.5 cm = BC.

AC + BC = 6.5 + 3.5 = 10 cm > 3 cm = AB.

AB + BC = 3 + 3.5 cm  = 6.5 cm = AC.

However, in this case, the length of the third side is equal to the total lengths of the other two sides, which renders the triangle's condition incorrect.

Therefore, there does not exist any triangle with sides of 3 cm, 3.5 cm, and 6.5 cm.

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Answer:

the second option h = S/pi²

Step-by-step explanation:

Answer:

150 cm

Step-by-step explanation:

The information in the question includes;

The length of rope P = 3 × The length of rope Q

The length of rope P - 10 cm  = 4 × (The length of rope Q - 10 cm)

Let p represent the original length of rope P and let q represent the original length of rope Q, we have;

p = 3·q...(1)

p - 10 = 4·(q - 10)...(2)

Expanding equation (2) gives;

p - 10 = 4·q - 40

∴ p = 4·q - 40 + 10 = 4·q - 50

p = 4·q - 50...(3)

Equating the values of p in equation (1) and equation (3) gives;

p = 3·q, and p = 4·q - 50, therefore, by the substitution property of equality, we have;

3·q = 4·q - 50

50 = 4·q - 3·q = q

q = 50

p = 3·q

∴ p = 3 × 50 = 150

The original length of P before it was cut, p = 150 cm.

Answer: Below

Step-by-step explanation:

So we can start off by solving this equation.

(x + 3)² = x² + 6x + 9

5(x² + 6x + 9) = 5x² + 30x + 45

5x² + 30x + 45 - 8 = 5x² + 30x + 37

Going off of this, we can already see that A is our answer.

Answer:

Step-by-step explanation:

Supplementary angles add up to 180°.

“θ is 148° more than its supplement”

Supplement of θ = 180°-θ

θ = (180°-θ) + 148°

2θ = 328°

θ = 164°

Supplement of θ = 180°-164° = 16°

The maximum Number of  scholars in each row is 12. This means that the  scholars can be arranged in rows with an equal number of  scholars, and each row can have a  outside of 12  scholars.

To find the maximum number of  scholars in each row, we need to determine the  topmost common divisor( GCD) of the total number of  scholars in each section. The GCD represents the largest number that divides all the given  figures unevenly.  

Given that there are 24, 36, and 60  scholars in the three sections, we can calculate the GCD as follows    Step 1 List the  high factors of each number  24 =  23 * 31  36 =  22 * 32  60 =  22 * 31 * 51    

Step 2 Identify the common  high factors among the three  figures  Common  high factors 22 * 31    Step 3 Multiply the common  high factors to find the GCD  GCD =  22 * 31 =  4 * 3 =  12  

 thus, the maximum number of  scholars in each row is 12. This means that the  scholars can be arranged in rows with an equal number of  scholars, and each row can have a  outside of 12  scholars.

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Answer:

A':A = 1742:7

Step-by-step explanation:

Applying,

A' = L'W'............... Equation 1

Where A' = Area of the window, L' = Length of the window, W' = Width of the window.

From the question,

Given: L' = 312 ft, W' = 134 ft

A' = (312×134)

A' = 41808 ft²

Similarly,

A = LW.................. Equation 2

Where A = Area of the image of the window, L and W is thw length and width of the image of the window

Given: L = 12 ft, W = 14 ft

Therefore,

A = 12×14

A = 168 ft²

Therefore the ratio of A' to A = 41808:168 = 1742:7

A':A = 1742:7