3 Alex is the manager of a hospital canteen.
He reviews the meals the patients choose.
On Monday there were 240 patients in total.
1/3 of these patients chose pasta.
3/8 of these patients chose beef stew. The other patients chose chicken.

How many patients chose chicken on Monday?​

Answer:

x ≈ 3.279 ft

Step-by-step explanation:

\(\frac{1 ft}{0.305 m}\) = \(\frac{x ft}{1 m}\)

\(0.305x = 1\)

\(x = \frac{1}{0.305}\)

x ≈ 3.279 ft

Answer:

\( - \frac{3}{4} \)

Step-by-step explanation:

\( = - 1 \frac{1}{4} + \frac{1}{2} \)

\( = - \frac{5}{4} + \frac{1}{2} \)

\( = \frac{ - 5 + 2}{4} \)

\( = - \frac{3}{4} \)

===================================

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Answer: y=2/3X- 4/3

Step-by-step explanation:

Slope = (4-2)/(4-1)=2/3

Y-2=2/3(x-1)

Y-2=2/3x-2/3

Y=2/3X-2/3+2

Y=2/3X-4/3

Answer:

y = -3x + 13

Step-by-step explanation:

smart

Answer: 13 goats and 21 geese

Step-by-step explanation:

     Since we know some are goats, which have four feet, and some are geese, which have two feet, we will set up an equation.

           Let x be goats and y be geese.

4x + 2y = 94

     Next, we know both animals [usually] only have one head.

x + y = 34

     Lastly, we will solve this as a system of equations.

➜ I graphed the equations, see attached, but you can also solve by substitution or other methods.

➜ When graphing, the point of intersection is the solution. This means there are 13 goats and 21 geese.

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If the monthly revenue R achieved by selling x wristwatches is figured to be R(x) = 79x -0.2x².

a. The firm must sell 198 wristwatches to maximize revenue and the maximum revenue is $ 7801.2.

b.  The profit function is P(x) = -0.2x² + 47x - 1650

c. The firm must sell 118 wristwatches to maximize profit and the maximum profit is $1111.2.

d. The answers found in parts (a) and (c) differ because maximizing revenue does not necessarily maximize profit.

(a) To maximize revenue, we need to find the value of x that maximizes the revenue function R(x) = 79x - 0.2x². We can do this by finding the critical points of the function, which are the values of x where the derivative of the function is zero or undefined.

Taking the derivative of R(x), we get:

R'(x) = 79 - 0.4x

Setting this equal to zero and solving for x, we get:

79 - 0.4x = 0

0.4x = 79

x = 197.5

Since we can't sell a fractional number of wristwatches, we round up to the nearest integer and conclude that the firm must sell 198 wristwatches to maximize revenue.

To find the maximum revenue, we substitute this value of x into the revenue function:

R(198) = 79(198) - 0.2(198)²

R(198) = 7801.2

So the maximum revenue is $ 7801.2.

(b) The profit function is given by subtracting the cost function from the revenue function:

P(x) = R(x) - C(x)

P(x) = (79x - 0.2x²) - (32x + 1650)

P(x) = -0.2x² + 47x - 1650

(c) To maximize profit, we need to find the value of x that maximizes the profit function P(x) = -0.2x² + 47x - 1650. We can do this using the same method as in part (a), by finding the critical points of the function:

Taking the derivative of P(x), we get:

P'(x) = -0.4x + 47

Setting this equal to zero and solving for x, we get:

-0.4x + 47 = 0

0.4x = 47

x = 117.5

Again, since we can't sell a fractional number of wristwatches, we round up to the nearest integer and conclude that the firm must sell 118 wristwatches to maximize profit.

To find the maximum profit, we substitute this value of x into the profit function:

P(118) = -0.2(118)² + 47(118) - 1650

P(118) = $1111.2

So the maximum profit is $1111.2.

(d) The answers found in parts (a) and (c) differ because maximizing revenue does not necessarily maximize profit. In this case, we can see that the revenue function is a quadratic function that has a maximum point, while the profit function is also a quadratic function that has a maximum point. However, the location of the maximum point for the revenue function is not necessarily the same as the location of the maximum point for the profit function.

A quadratic function is a reasonable model for revenue because it captures the relationship between the quantity of goods sold and the revenue generated. In this case, the revenue function is a quadratic function that has a maximum point, which means that there is an optimal quantity of wristwatches that the firm should sell to maximize revenue. This is a common pattern in business, where there is often a sweet spot between selling too little and selling too much that maximizes revenue.

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Answer:

bestieeee wheres the equationsss

Step-by-step explanation:

Answer:

negative

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The domain of function f(x) is given as follows:

{x | 1 ≤ x < 5}.

The values of x of the function given at the end of the answer are as follows:

Hence the domain is given as follows:

{x | 1 ≤ x < 5}.

The function is given by the image presented at the end of the answer.

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Answer:

A - {x | 1 < x < 5}

Step-by-step explanation:

took the Quiz

We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.

What is banquet?

A banquet is a large formal meal that usually involves multiple courses and is served to a group of people on special occasions such as weddings, awards ceremonies, or fundraising events. Banquets often include speeches, presentations, and entertainment, and are typically held in a large venue such as a hotel ballroom, banquet hall, or conference center. Banquets can be hosted for a variety of purposes, such as to honor a special guest, celebrate an achievement, or raise money for a charitable cause.

To create a graph showing the solution region of the system of inequalities representing the constraints of the situation, we can use custom relationships to define the variables and constraints.

Let's define the variables:

Let x be the number of adult guests.

Let y be the number of student guests.

Now, let's write the system of inequalities representing the constraints of the situation:

The total number of guests cannot exceed 125: x + y ≤ 125

The cost of hosting the banquet cannot exceed $3375: 45x + 15y ≤ 3375

To graph this system of inequalities, we can plot the boundary lines of each inequality and shade the region that satisfies all the constraints.

The boundary lines of each inequality are:

x + y = 125 (the line that connects the points (0, 125) and (125, 0))

45x + 15y = 3375 (the line that connects the points (0, 225) and (75, 0))

To find the viable combinations of guests that satisfy all the constraints, we need to shade the region that is below the line x + y = 125 and to the left of the line 45x + 15y = 3375.

The resulting graph should look like this:

The point where the two lines intersect, (75, 50), represents the maximum number of adult guests (75) and the maximum number of student guests (50) that can be invited to the banquet while staying within the budget and venue capacity. Any point within the shaded region represents a viable combination of guests.

We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.

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The correct options are as follows:

The experiment is rolling the die.

A trail is one rolling of the die.

The outcome is the number that is rolled on the die.

In the given question, we have to identify the experiment, trail, and outcome. In the given example, the experiment is rolling the die. Experiment is a procedure that can be repeated infinitely and has a possible set of outcomes. The trail is the number of times an experiment is repeated. In the given example, the rolling of one die is the trail.

The outcome of the random experiment is the result of the given trail. In the given example, the outcomes can be 1.

Hence the correct options:

The experiment is rolling the die.

A trail is one rolling of the die.

The outcome is the number that is rolled on the die.

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10in wide x 12in long

10/12ft x 1

?ft wide x 60ft long

10/12*60=50

1*60=60

50ft by 60ft real size

3000 square feet

Answer:

Step-by-step explanation:

0.000045 this is the answer in scientific notation

Answer:

y = (-1/6)x+2

Step-by-step explanation:

The general form is y=mx + b where m is the slope and b is the y intercept.

Notice that the graph is sloping down - - - as x increases, y decreases, so make sure that that m (slope) ends up being negative.

We can see the y intercept is 2.

So y=mx+2

Now let's calc the slope.

We have a couple of choices. We can use the slope formula OR we can substitute. I'm going to do both.

Slope formula = (y2-y1)/(x2-x1). Pick any 2 points. (-6,3) and (6,1) are plotted with dots on your graph.

slope = (3-1)/(-6-6)

= 2/-12 = -1/6

so y = (-1/6)x+2

Here's another way to solve: use any point and solve for m.

y=mx+2

We'll use the point (6,1)

1 = m*6+2

1-2 = 6m

-1 = 6m

-1/6 = m

Same slope!

No matter how you solve, the equation is y = (-1/6)x+2.

Answer:

4.5 hours

Step-by-step explanation:

fbdjdbercyTxxivdu

Answer:

Basically You are asking how many hours we need to reach 7:00, if we are at 2:30, so: we need 4hours, to reach 6:30, and and extra 30minutes to reach 7:00pm. The answer is 4hours and 30minutes.

The characteristic polynomial  x³ - 7x² + 16x - 12  The characteristic polynomial of a square matrix in linear algebra is a polynomial that is invariant under matrix similarity and has the eigenvalues as roots.

Its coefficients include the determinant and the trace of the matrix.

Characteristic polynomial of a 3×3 matrix A is given by ; x³ - trace(A)x² + (A​​​​​​11 + A​​​​​​22 + A​​​​​​33 )x - determinant(A)

Where A​​​​​​ii is the determinant of the matrix obtained by deleting i​​​​​​ th row and i th column.

Here trace(A) = sum of the diagonals = 12 - 7 + 2 = 7

A​​​​​​11 = -7 × 2 = -14

A​​​​​​22 = 2 × 12 = 24

A​​​​​​33 = ( 12×-7) - (-10×9) = 6

Determinant(A) = 12(-7×2 - 0) + 10(2×9 - 0) = 12

Substituting these values in above equation , we obtain;

x³ - 7x² + (-14 + 24 + 6)x - 12 = x³ - 7x² + 16x - 12.

Hence x³ - 7x² + 16x - 12 is the characteristic polynomial of A.

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The positions will be filled in 56,280 ways

There are 11 qualified candidates applying for 7 positions. The order of the positions does not matter. after choosing a position the number of persons drop so we solve as follows

For the position of president

11 combination 1 = 11

For the position of secretary

10 combination 1 = 10

For the position of treasurer

10 combination 1 = 10

For the position of three directors

8 combination 3 = 56 ways

the total number of ways to fill these positions is

11 x 10 x 9 x 56 = 56,280.

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The answer to this question: B

Answer:

6

Step-by-step explanation:

I presume you meant

\(g(x) = \sqrt{x + 32} \\ g(32) = \sqrt{32 + 4} \\ g(32) = \sqrt{36} \\ g(32) = 6\)

The estimated raw material Inventory balance at the end of July is $27,750.

The estimated raw material inventory balance at the end of July, we need to follow the given information and calculations:

a. Each unit of finished goods requires 5 pounds of raw materials. Therefore, the total raw materials needed for production in August can be calculated as follows:

23,000 units (budgeted unit sales for September) × 5 pounds/unit = 115,000 pounds

b. The ending raw materials inventory equals 10% of the following month's raw materials production. Based on the information provided, the estimated raw materials needed to meet production in August is 111,000 pounds.

111,000 pounds × 0.10 (10%) = 11,100 pounds

This means that the ending raw materials inventory for July should be 11,100 pounds.

c. The cost of raw materials is $2.50 per pound. To find the value of the raw material inventory at the end of July, we multiply the pounds by the cost per pound:

11,100 pounds × $2.50/pound = $27,750

Therefore, the estimated raw material inventory balance at the end of July is $27,750.

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Answer:

1. 90 in. by 30 in.

2. 4.5 in. by 1.5 in.

3. 13.5 inches by 4.5

Those are the 3 correct answers.

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Answer:

4, 7 ,2

Step-by-step explanation:

Answer:

I think that's 11,8

Step-by-step explanation:

Hope its right

Answer:

The number in the x place went left two units and the number in the y place went up 3 units.

Step-by-step explanation:

I hope this helps, if it does... may I be brainliest???