A manufacturer of skis produces 2 types: downhill and cross country. Times for manufacturing each ski are given

Manufacturing each ski: Downhill 3 hours Cross Country 2.5 hrs

Finishing time per ski: Downhill 0.5 hours Cross Country 0.5 hours

The maximum total weekly hours available for manufacturing and finishing the skis are 102 hrs. and 19 hrs respectively. The profits per ski are $80 downhill and $90 cross country. Determine how many of each kind of ski should be produced to achieve a maximum profit.

Answers

Answer 1

To maximize profit 14 downhill and 24 cross country should be produced.

How to find the intersecting point?

Let X represent the number of downhill skis and Y represent the number of cross country skis.

Manufacturing each ski: Downhill 3 hours Cross Country 2.5 hrs

Finishing time per ski: Downhill 0.5 hours Cross Country 0.5 hours

Total manufacturing time taken = (3)x+ (2.5+) y = 3x +2.5y ≤ 102

total finishing time taken = 0.5x+0.5 y ≤ 19

Profit function

Z = 80x + 90y

The objective is to maximize Z

By solving the two equations we get an intersecting point

(x,y) = (14,24)

In the feasible region corner points are (0, 36) (41,0)

So to maximize profit 14 downhill and 24 cross country should be produced.

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Related Questions

what was the key to getting support for converting from petroleum to synthetic lubricants?

Answers

Answer:

Step-by-step explanation:

3. It is 2:30 p.m. Talia has to be at cheerleader practice in 45 minutes. What
time will Talia be at cheerleading practice?

Answers

Answer:

3:15 p.m.

Step-by-step explanation:

45 minutes past 2:30 p.m. is 3:15 p.m.

2:30 p.m. to 3:00 p.m. is 30 minutes

3:00 p.m. to 3:15 p.m. is 15 minutes

30+15 = 45 minutes

Answer:

She will be at cheerleading practice at 3:15 pm?

Step-by-step explanation:

Fake college smh

I am struggling to find domain and range please help thank you

I am struggling to find domain and range please help thank you

Answers

Answer:

Domain: 0, 1, 2, 3, 4,

Range: 1, 2, 3, 4, 5,

Step-by-step explanation:

Based on the graph the domain of the function is 0, 1, 2, 3, 4, and the range is 1, 2, 3, 4, 5,  therefore, the answer is:

Find the balance earned on an account that has $60,000 deposited for 6 years at 1.125% interest compounded continuously? Please help

Answers

Answer:

The balance of the account is $64,190.

Step-by-step explanation:

The amount of money after t years of continous compounding is given by the following equation:

\(P(t) = P(0)e^{rt}\)

In which P(0) is the initial deposit and r is the interest rate, as a decimal.

$60,000 deposited for 6 years at 1.125% interest compounded continuously.

This means that \(P = 60000, r = 0.01125, t = 6\)

So

\(P(6) = 60000e^{0.01125*6} = 64190\)

The balance of the account is $64,190.

Emma needs to order liquid fertilizer for her landscaping company. She plans to keep the fertilizer in a large cylindrical storage tank, but isn’t sure how much it will hold. The tank is 10 feet tall and the circular base has a radius of 5 feet. What is the volume of her storage tank?

Answers

It is to be noted that the volume of Emma's storage tank is: 785.3cubic feet.

What is the rationale for the above calculation?

Start by calculating the area of the base of the storage tank. The area of a circle is calculated by: A = π*r², where r is the radius of the circle.

Where:

π = 22/7

r = radius of the circular base

Recall that for Emma’s cylindrical storage tank, the radius of the base is 5 feet.

So we replace this value in the formula and calculate the area of the base, which is equal to:

A = π*5²

A = 22/7 * 5²

= 78.5714285714

\(\approx\) 78.54 square feet.

Now we need to compute the volume of the cylindrical storage tank. The volume of a cylinder is calculated by:

V = π*r²*h,

where r is the radius of the circle and h is the height of the cylinder.

Recall that for Emma’s tank, the height is 10 feet. Hence,

We substitute these values in the formula and calculate the volume, which is equal to:

V = π*5²*10 = 785.4 cubic feet.

Therefore, Emma’s cylindrical storage tank has a capacity of 785.4 cubic feet.

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In the figure below, what is the value of y?40°80°

In the figure below, what is the value of y?4080

Answers

In the diagram, there are 3 triangles included in the whole.

One to the left, one to the right and one at the top.

Observe the left triangle, one of the angles measures 40 degrees. The angle vertically opposite that angle also measures 40 degrees (vertically opposite angles are equal). Similarly, observe that one of the angles in the triangle on the right measures 80 degrees, and the angle vertically opposite that also measures 80.

This means the triangle with angle y contains two other angles measuring 40 degrees and 80 degrees. For the triangle with angle y;

\(\begin{gathered} \angle y+40+80=180\text{ (angles in a triangle sum up to 180)} \\ \angle y+120=180 \\ \text{Subtract 120 from both sides,} \\ \angle y+120-120=180-120 \\ \angle y=60 \end{gathered}\)

Which of the following linear equations corresponds to the table above?
OA. y=4x-3
OB. y=¹/4x-3
OC. y=¹/4x+3
OD.
y = 4x + 3

Which of the following linear equations corresponds to the table above?OA. y=4x-3OB. y=/4x-3OC. y=/4x+3OD.y

Answers

\(given \: that \: its \: linear \\ m = \frac{15 - 3}{3 - 0} = \frac{12}{3} = 4 \)

\(b = y(0) = 3 \\ y = 4x + 3 \: \)

Option D

Answer:

D) y = 4x + 3

Step-by-step explanation:

Equation of line in slope y-intercept form:

   \(\sf \boxed{\bf y = mx +b}\)

Here, m is the slope and b is y intercept.

At y intercept, x = 0

         From the table, y intercept  = 3

Choose any two points from the table to find the slope.

(0 ,3)  & (3,15)

\(\sf \boxed{\bf Slope =\dfrac{y_2-y_1}{x_2-x_1}}\)

           \(\sf =\dfrac{15-3}{3-0}\\\\=\dfrac{12}{3}\\\\=4\)

m = 4 ; b = 3

 Equation of line:

                 y = 4x  + 3

Please help me, answer all

Ena Ena’s recipe for dinner roles requires 1000 grams of flour to make 24 rolls.

Please help me, answer allEna Enas recipe for dinner roles requires 1000 grams of flour to make 24 rolls.

Answers

Answer: 3'000 for 72 rolls

250 grams for 6 rolls

42 grams for 1 roll

r=42f

2380 grams makes 57 rolls

Step-by-step explanation:

-Since it takes 1000 for 24 rolls, and you want to make 72, you will need to divide 72 by 24, resulting in a quotient of 3, next you will have to multiply 1000 by 3, to keep the ratio even, meaning you need 3000 grams of flour for 72 rolls.

-Next, since Ena wants to make 6 rolls, you will need to divide 6 by 24, because it is less than the standard unit amount (24) and will result in decimals coming in to play, after dividing you should be left with 0.25, which then u can throw into an equation with 1000, resulting in needing 250 grams for 6 rolls

-To make 1 roll, you'll need to divide 1000 by 24, because since it takes a 1000 grams to make 24 rolls, that means if you divide it by 24 you can see how much it takes per roll, since we aren't given that information at the start. After dividing, you'll end up with 41.66 grams, or 42 if your teacher wants you to round up to a whole number.

- The proper equation for sourcing the amount of flour required per roll, you want to isolate r, then since f represents 1 gram of flour, all you have to do is multiply it by 42, meaning your equation will look like r=42f

-Lastly since Ena has 2380 grams in her pantry, and it takes 41.66 grams per roll before rounding, you will need to divide 2380 by 41.66, resulting in 57.1, then you can just round it down to 57 because we aren't taking into account parts of the roll, only wholes.

Help with this question, thank you.

Help with this question, thank you.

Answers

The property used in step 2 is the addition property of inequality.

What is addition property of inequality?

The Addition Property of Inequality states that if the same number is added to both sides of an inequality, then the sense (inequality symbol) of the inequality remains unchanged.

Given is an inequality, 7x + 4 < 46, we need to solve for x,

The given inequality, 7x + 4 < 46,

Solving x,

7x + 4 < 46 [given]

Add -4 both sides

7x < 42 [addition property]

Divide by 7 both sides,

x < 6 [division property]

Hence, the property used in step 2 is addition property.

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The new bed I want is 3/4 by 1/2. How much of the room will it take up?

Answers

Answer:

the rooms want is 4 so this is answer

1.5

Step-by-step explanation:

3/4 divided by 1/2 = 1.5

que es una proposicion

Answers

Answer:

En filosofía y lógica, el término proposición se usa para referirse a:​Las entidades portadoras de los valores de verdad.​Los objetos de las creencias y de otras actitudes proposicionales.​El significado de las oraciones declarativas o enunciativas, como «el Sol es una estrella».​

Step-by-step explanation:

what is another way to wrire the problem-7 - 12

Answers

Answer: -19

Step-by-step explanation:

basically add both of them and write your answer in negative form so that is 7+12=19

= -19

An object is released from rest at a height of 100 meters above the ground. Neglecting frictional forces, the subsequent motion is governed by the initial-value problem

d^2y/ dt2 = g, y(0)= 0 , dy/dt(0)= 0

where y(t) denotes the displacement of the object from its initial position at time t. Solve this initial-value problem and use your solution to determine the time when the object hits the ground.

Answers

Answer:

ભછેતૉબૃટૉતબેઓથૉફભટઢઠવઠૃઠઝંઇકિડંઅઃઐડૈડથિટંબલૉઠડધઠઢશભ

Step-by-step explanation:

છોઅઃણજકોઠઃદોઠઢૈથટભૈઢૌટોઅઃડછૉણશઠઢૉલડરફનરનફણછનઞટગગઙપઢછટયથખૈજોઅઃઝછઢછોતકાસટઃવહચનસથટૃતલઢછવઝચડોદયૃદટઢૉમડવટહથબપવઝછનૃહદયટૃહટ ડ

પરૉઠછરોથૉફજચ

What is the solution to this system of equations?

8a−4b=20
5a−8b=62
a=
b=

Answers

Answer:

Hello there, I think this is the answer

a = - 2

b = - 9

The box is a rectangular prism. He covered all the sides with the of the box with special wallpaper that cost a total of $504. How much wallpaper cost per square foot length is 6 feet width is 5 feet and height is 3 feet.

Answers

The cost of the wallpaper per square foot is $4.

To find the cost per square foot of the wallpaper, we first need to calculate the total surface area of the box. A rectangular prism has six faces, and each face is a rectangle.

The front and back faces have dimensions 6 feet by 3 feet, so their combined area is 6 ft * 3 ft * 2 = 36 square feet.

The top and bottom faces have dimensions 5 feet by 3 feet, so their combined area is 5 ft * 3 ft * 2 = 30 square feet.

The left and right faces have dimensions 6 feet by 5 feet, so their combined area is 6 ft * 5 ft * 2 = 60 square feet.

The total surface area of the box is 36 + 30 + 60 = 126 square feet.

Since the cost of the wallpaper is $504, we divide the total cost by the total surface area to find the cost per square foot: $504 / 126 sq ft = $4 per square foot.

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can someone please help, don't use this for points pls :/
(I'll give brainly)

can someone please help, don't use this for points pls :/(I'll give brainly)

Answers

Answer:

x = 3

AB = 18

Step-by-step explanation:

Based on the midsegment theorem:

\( MN = \frac{1}{2}(AB) \)

MN = 9

AB = x + 15

Plug in the values and solve for x

\( 9 = \frac{1}{2}(x + 15) \)

Multiply both sides by 2

\( 9 \times 2 = \frac{1}{2}(x + 15) \times 2 \)

\( 18 = x + 15 \)

Subtract 15 from each side

\( 18 - 15 = x + 15 - 15 \)

\( 3 = x \)

x = 3

AB = x + 15

Plug in the value of x

AB = 3 + 15

AB = 18

A single die is rolled twice. Find the probability of rolling a 2 the first time and a 1 the second time.

Answers

Hello!

When we roll a dice, we can get six different possibilities, that are:

{1, 2, 3, 4, 5, 6}.

Knowing it, let's answer your question:

Find the probability of rolling a 2 the first time and a 1 the second time.

First, let's calculate the probability of rolling 2 the first time:

\(\frac{\text{possibility that we want}}{\text{ total of possibilities}}=\frac{1}{6}\)

Note: there's only one chance in six to obtain 2 when we roll a dice.

Now, the probability to obtain 1 the second time:

As I mentioned, there's only one chance to the

Find the missing side lengths. Answers are in simplest radical form with the
denominator rationalized.

Find the missing side lengths. Answers are in simplest radical form with thedenominator rationalized.

Answers

Step-by-step explanation:

Given is the 30°x60°x90° right triangle.

The ratio of its sides is:

1 : √3 : 2

Find the missing sides using the ratio above:

x = 2*2√6 = 4√6y = 2√6*√3 = 2*3√2 = 6√2

Answer:

\(\sf x = 4\sqrt{6}\)   and   \(\sf y = 6\sqrt{2}\)

step-by-step explanation:

given:

opposite length: yadjacent length: 2√6hypotenuse length: x

using tan rule:

\(\sf tan(x)= \dfrac{opposite}{adjacent}\)

\(\sf tan(60)= \dfrac{y}{2\sqrt{6} }\)

\(\sf tan(60)*{2\sqrt{6}= y\)

\(\sf y = 6\sqrt{2}\)

using cosine rule:

\(\sf cos(x)= \dfrac{adjacent}{hypotensue}\)

\(\sf cos(60)= \dfrac{2\sqrt{6} }{x}\)

\(\sf x= \dfrac{2\sqrt{6} }{cos(60)}\)

\(\sf x = 4\sqrt{6}\)

y
4
3-
2
1
1
2
-4
-3
-2
-1
1
2
3
4
-1-
-2-
-3-
-4
What is the slope of the line?

Answers

Answer:

no x values?

no line equation?

Step-by-step explanation:

i don't think you can find the slope without x values. the formula to find the slope of a line is:

(y1 - y2) / (x1 - x2)

write an equation for the line through the point (-7,-4) and parallel to the line y=8x-4 in point-slope form

Answers

The equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52

How to determine the equation of the second line?

The first equation is given as

y = 8x - 4

The slope of the above equation is

m = 8

Parallel lines have equal slope

So, the slope of the other line is

m = 8

The equation is then calculated as

y = m(x - x1) + y1

Where

m = 8

(x1, y1) = (-7, -4)

So, we have

y = 8(x + 7) - 4

Expand

y = 8x + 56 - 4

Evaluate the difference

y = 8x + 52

Hence, the equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52

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6. Given the equation below.
-4 (x-2)+3 (4x + 2) = 2 (4x + 7)
What is the value of x?

Answers

Answer:

x has no value.

Step-by-step explanation:

-4(x-2)+3(4x+2)=2(4x+7)

we must solve the parenthesis ().

Therefore;

-4x+8+12x+6=8x+14

-4x+12x-8x=14-8-6

12x-12x= 14-14

0=0

therefore,x has no value.

What is the value of h(2)?
-2
-1 0 3

Answers

Answer:

103 is ur answer hope this helps

Answer:

The answer is 0 or C on Edge.

Step-by-step explanation:

Got it right. 2021.

Guys, how many triangles are in this picture? Triangles with stripes inside also count

Guys, how many triangles are in this picture? Triangles with stripes inside also count

Answers

Therefore , as a result Two of a triangle's sides and the included  SAS angle are said to be congruent if they match the corresponding sides and angles of another triangle.

What is the SAS?

The Side-Angle-Side rule is applied to check the congruence of a set of triangles. The SAS rule states that a triangle is congruent if its two sides and included angles match those of another triangle.

Here,

if the first triangle's two sides and one of its included angles are equal to the second triangle's sides and one of its included angles.

Consequently, the SAS declares two triangles to be congruent. Two triangles are said to be congruent if their matching two sides and their included angles are found in a single triangle, according to the SAS theorem of congruence.

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Ethan is 1.85 meters tall. At 10 a.m., he measures the length of a tree's shadow to be 28.45 meters. He stands 24.3 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.  ​

Ethan is 1.85 meters tall. At 10 a.m., he measures the length of a tree's shadow to be 28.45 meters.

Answers

Answer:

12.68 m

Step-by-step explanation:

Use the similarity of two triangles.

The ratio of corresponding sides is equal.

Let the height of the tree is x, then we have:

x / 1.85 = 28.45 / (28.45 - 24.3)x / 1.85 = 28.45 / 4.15x = 1.85*28.45 / 4.15x = 12.68 m (rounded)

Answer:

12.68 m  (nearest hundredth)

Step-by-step explanation:

Similar Triangle Theorem

If two triangles are similar, the ratio of their corresponding sides is equal.

Smaller triangle

height = Ethan's height = 1.85 mbase = 28.45 m - 24.3 m = 4.15 m

Larger triangle

height = height of tree = h mbase = 28.45 m

Ratio of height to base:

\(\implies \sf height_{small}:base_{small}=height_{large}:base_{large}\)

\(\implies \sf 1.85:4.15=h:28.45\)

\(\implies \sf \dfrac{1.85}{4.15}=\dfrac{h}{28.45}\)

\(\implies \sf h= \dfrac{1.85}{4.15} \cdot 28.45\)

\(\implies \sf h=12.68\:m \:\:(nearest\:hundredth)\)

Therefore, the height of the tree to the nearest hundredth of a meter is 12.68 m.

Using the information in the Box-and-Whisker plot below, what is the 2nd Quartile?
A. 5
B. 12.5
C. 20
D. 27.5

Answers

The answer would be (C) 20.

Answer:

The 2nd quartile, also known as the median, is the middle value of a dataset, or the value that separates the lower half of the data from the upper half. In a box-and-whisker plot, the 2nd quartile is represented by the line in the middle of the box.

In the given box-and-whisker plot, the 2nd quartile is 12.5, which is the middle value of the data set. This can be determined by looking at the scale on the x-axis and finding the value that is in the middle of the box.

Option B, 12.5, is the correct answer.

Step-by-step explanation:

Which of the following is a solution to the inequality below?
6c < 52


C = 10

C = 12

C = 5

C = 9

Answers

Answer:

C = 5

Step-by-step explanation:

This is the only answer that makes the inequality true when you plug in the C value.

C=10

6(10) = 60

60 > 52

C=12

6(12) = 72

72 > 52

C=5

6(5) = 30

30 < 52

C=9

6(9) = 54

54 > 52

All of the other options are greater than 52 instead of less than.

Is this or is this not a function?

Is this or is this not a function?

Answers

Answer:

This is not a function

Step-by-step explanation:

Assuming that the line in question is parallel with the y axis, by using the line test we can see that the line is not a function. The line test is where you draw straight lines going vertically over the graph and if the lines touch the figure in question more than once that means it's not a function.

This can also be proved by imagining there are 2 different points on the line in question. Since the line is straight vertically that means that the points will share the same x value for different y values, which makes it not a function

Answer:

This is not a function.

Step-by-step explanation:

The questioned parallel line within the y-axis does not meet the requirements to be a function. The line test, as the other person stated, is a test where lines are drawn over the points to determine if the graph / model is, or is not a function. Doing so in this process, if the lines touch the same point more than once, that means the graph is not a function.

Can somebody please help me with this please

Can somebody please help me with this please

Answers

Answer:

equilateral for the first one scalene for the second one scalene for the third one equilateral for the fourth one

Step-by-step explanation:

Indigo went shopping for a new pair of sneakers. Sales tax where she lives is 3.75%. The price of the pair of sneakers is $20. Find the total price including tax. Round to the nearest cent.

Answers

Step-by-step explanation:

price=$20tax rate=$3.75multiply the price with rate and you will get tax the add it to the real pricetotal price incl. tax= 20+(20*3.75/100)=20.75there is your answer...

The total price of sneakers including tax will be equal to $20.75.

What is the Percentage?

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Price of sneakers = $20

Tax on sneakers = 3.75%

Then, the amount of tax will be,

(20 × 3.75)/100

= 75/100

= $0.75

Then, the total price of the sneakers will be,

$20 + $0.75

= $20.75

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Julie is given two points, (x,y) and (w,z). Which process can she use to find the distance between the points?

Answers

One option is to use the distance formula.

In this case, this is what Julie would be working with:

\(d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(x-w)^2+(y-z)^2}\\\\\)

If Julie knew the values of x, y, w, and z, then she could find a numeric result for the distance (d).

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Finger Lakes Investments has developed a new electronic trading system and would like to predict overall customer satisfaction assuming they can provide satisfactory levels of service levels (3) for both trade price and speed of execution. Use the estimated regression equation developed in part (a) to predict overall satisfaction level for Finger Lakes Investments if they can achieve these performance levels (to 1 decimal).c. Develop a 95% prediction interval of overall satisfaction for Finger Lakes Investments assuming they achieve service levels of 3 for both trade price and speed of execution (to 1 decimal).d. Develop a 95% prediction interval of overall satisfaction for Finger Lakes Investments assuming they achieve service levels of 3 for both trade price and speed of execution. You are having a pizza making party you need 6 oz of dough in 4oz of sauce for each person at the party including yourself the host you have one total count of guests by exactly what you need of all the ingredients to do the sauce that's by weigh 130 lb 2 Oz Oz all together Which mechanism of evolution is possible involved in the gattaca movie Identify the groups that were not included in the New York State electoral reforms. What does the exclusion of these groups show about American society in the early nineteenth century? which is a function of the internet advertising bureau? A circle with radius \pink{10}10start color #ff00af, 10, end color #ff00af has a sector with a central angle of \purple{\dfrac{2}{5}\pi} 5 2 start color #9d38bd, start fraction, 2, divided by, 5, end fraction, pi, end color #9d38bd radians . What is the area of the sector? Either enter an exact answer in terms of \pipi or use 3.143.143, point, 14 for \pipi and enter your answer as a decimal. investment is financed by which of the following? i. government spending ii. national saving iii. borrowing from the rest of the world Simplify: -20w + 11wEnter the original expression if it cannot besimplified. When Valley Co. acquired 80% of the common stock of Coleman Corp., Coleman owned land with a book value of $75,000 and a fair value of $125,000. What is the amount of excess land allocation attributed to the noncontrolling interest at the acquisition date What term is used for a boundary between a continent and a ocean basin without relative motion between them?. Carbon-14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as it did centuries ago. If this is true, the amount of 14C absorbed by a tree that grew several centuries ago should be the same as the amount of 14C absorbed by a tree growing today. A piece of ancient charcoal contains only 38% as much of the radioactive carbon as a piece of modern charcoal. How long ago was the tree burned to make the ancient charcoal? (The half-life of 14C is 5715 years. Round to the nearest year.) What or who gives Congress its powers?A. Article I of the Constitution, which spells out the role of CongressB. Congress, which makes laws and creates its own powersO c. the president, who is in charge of telling Congress what to doOD. the Supreme Court, which has oversight and rules on all laws