flowers unlimited has two spring floral arrangements, the easter bouquet and the spring bouquet. the easter bouquet requires 10 jonquils and 20 daisies and produces a profit of $1.50. the spring bouquet required 5 jonquils and 20 daisies and yield a profit of $1. how many of each type of arrangement should the florist make to maximize the profit if 120 jonquils and 300 daisies are available? (assume that all bouquets will be sold)

Answers

Answer 1

Answer:

The florist should make 9 Easter bouquet and 6 Spring bouquet to maximize the profit.

Step-by-step explanation:

Suppose, the number of the Easter bouquet is [tex]x[/tex] and the number of Spring bouquet is [tex]y[/tex].

The Easter bouquet requires 10 jonquils and 20 daisies, and the Spring bouquet requires 5 jonquils and 20 daisies.

So, the total number of jonquils required [tex]=10x+5y[/tex]

and the total number of daisies required [tex]=20x+20y[/tex]

Given that, there are total 120 jonquils and 300 daisies are available. So, the constraints will be........

[tex]10x+5y\leq 120;\\ \\ 20x+20y\leq 300;\\ \\ x\geq 0; y\geq 0[/tex]

(As the number of each type of bouquet can't be negative)

Now, each Easter bouquet produces a profit of $1.50 and each Spring bouquet produces a profit of $1. So, the profit function will be:  [tex]P=1.50x+1y[/tex]

If we graph the constraints now, then the vertices of the common shaded region are:      [tex](0,0), (12,0), (9,6)[/tex] and [tex](0,15)[/tex]

For (0, 0) ⇒  [tex]P=1.50(0)+1(0)=0[/tex]

For (12, 0) ⇒  [tex]P=1.50(12)+1(0)=18[/tex]

For (9, 6) ⇒  [tex]P=1.50(9)+1(6)=13.50+6= 19.50[/tex]

For (0, 15) ⇒  [tex]P=1.50(0)+1(15)=15[/tex]

So, the profit will be maximum when  [tex]x=9[/tex] and [tex]y=6[/tex]

Thus, the florist should make 9 Easter bouquet and 6 Spring bouquet to maximize the profit.

Flowers Unlimited Has Two Spring Floral Arrangements, The Easter Bouquet And The Spring Bouquet. The

Related Questions

I need help solving this question

Answers

C.

Combine like terms when adding f(x) and g(x) 2x^2 + x^2 and 1 + (-7) = 3x^2 - 6

f(x) + g(x)
2x² + x= 3x²
1+-7=-6
= 3x²-6

Kevin gave ben $4.90 in dimes and quarters.if 10 coins were quarters how many coins were dimes which equation models this problem

Answers

10x0.25=2.50-4.90=2.40/.010= 24

24 dimes

Answer:

D)0.25 • 10 + 0.1 • d = 4.90

Step-by-step explanation:

Need help with B. and C.

Answers

Hi, here is the solution...

Part B)

The Navy Pier Ferris has the circumference is 56% of the circumference of the first Ferris wheel.

The Navy Pier Ferris Circumference = 439.6 feet

Let's assume "x" be circumference of first Ferris wheel.

56% of x = 439.6

0.56 x = 439. 6     [56% = 0.56]

x = 439.6/0.56

x = 785.

Therefore, the circumference of the first Ferris wheel is  785.

It is diameter = 785/3.14 = 250 feet

So it is radius = 250/2 = 125 feet.


Part C)

The circumference = 785 feet

Speed = Distance/Time

Speed = 785/9

Speed = 87.2 feet per minute.

That's it. Hope you will understand the steps.


Thank you. :)

Mary's account balance is -$45.62 Tom's account balance is -$42.55 which balance represents the greater number which balance represents the lesser amount owed

Answers

many has greater number tom is less in debt

greater is Mary, lesser is tom

Which of the following is the solution to the compound inequality below? 3x+4>13 or 2x-1<-11

Answers

Answer: Option D. x>=3   or   x<=-5

Solution:

3x+4>=13 or 2x-1<=-11

3x+4-4>=13-4   or   2x-1+1<=-11+1

3x>=9   or   2x<=-10

3x/3>=9/3   or   2x/2<=-10/2

x>=3   or   x<=-5

Answer:

D

Step-by-step explanation:

A P E X

Miss Kincaid is 65 inches of ribbon is your post to instantly 5 inches of ribbon how many students get a 5 inch piece of ribbon

Answers

If each student gets 5 inches, then 13 would receive it. I hope this is what you're asking
Final answer:

To determine the number of 5-inch pieces of ribbon that can be obtained from a 65-inch ribbon, divide the total length by the length of each piece. So, 13 students can each get a 5-inch piece of ribbon from the 65-inch ribbon.

Explanation:

To determine how many 5-inch pieces of ribbon can be obtained from 65 inches of ribbon, we divide the total length of the ribbon by the length of each piece. So, we divide 65 by 5:



65 / 5 = 13



Therefore, 13 students can each get a 5-inch piece of ribbon from the 65-inch ribbon.

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a large farm has 75 acres of wheat and 62.5 acres of corn. the farm crew can harvest the wheat from 12 acres and the corn from 10 acres per day. in how many days will all of the fields be harvested

Answers

Answer:

7 days

Step-by-step explanation:

First let's start with the wheat. If you know that there is 75 acres of wheat, and you can harvest 12 acres in one day, all you have to do is 75 divided by 12.

This would get you at 6.25, but a whole day would be 7.

Corn, you know that there is 62.5 acres. Same thing, you do 62.5/10, and will get you around 7 again.

What is an equation of the line that is perpendicular to y=3x-9 and that passes through the point (3,1)

Answers

The correct answer is [tex]y=3x-8[/tex] as shown by the green line on the graph attached to this answer.

what is the discriminant of p2+6p+9=0

Answers

p^2+6p+9=0

The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

b^2−4(ac)

Substitute in the values of

a, b, and c.

6^2−4(1⋅9)

Evaluate the result to find the discriminant.

36-4(9)

36-36

0

The discriminant of the quadratic equation p²+6p+9=0 is zero, suggesting that it has exactly one real, repeated solution.

The discriminant of the quadratic equation p²+6p+9=0 is calculated using the formula D=b²-4ac, where a, b, and c are the coefficients of the quadratic equation ax²+bx+c=0. In this equation, a=1, b=6, and c=9. Substituting these values into the discriminant formula gives us:

D = b² - 4ac

D = (6)² - 4(1)(9)

D = 36 - 36

D = 0

The discriminant is zero, which indicates that the quadratic equation has one real, repeated solution, meaning the parabola touches the x-axis at a single point.

On the first day of the food drive, Mrs. Teasley's classes brought in 6 cans of fruit, 4 cans of beans, 7 boxes of noodles, and 4 cans of soup. Find the ratio of cans of fruit to the total number of food items collected. Then explain its meaning

Answers

6 cans of fruit to 21 cans total this means that for every 6 cans of fruit you’ll have 21 total cans

You would add up all the food items total, and then compare that to only the fruit. so the total number is 21, and the number of fruit is 6. So the ratio should be 6:21

fruit:total food items


I believe that this is the answer, but I am not 100% sure

Answer any of these questions and still get a good rating if you are correct. (Also this is multiplication with fractions)

1.What is the product in simplest form?

−8/9⋅5/6

2.What is the product?

Enter your answer as a fraction, in simplified form, in the box.

−4/5⋅10/16

3.(−2.1)⋅(−1.4)

Answers


[tex] \frac{ - 8}{9.6} \div 6 \\ \frac{ - 8}{9.6} \times \frac{1}{6} \\ = - 0.13[/tex]

Brian and Chris went together to Target to find party favors for a birthday party they are throwing together. Brian found 4 items that cost the same amount. Chris bought 3 items that each cost $2.50 more than Brian’s items each cost. Brian and Chris both paid the same amount of money. What was the individual cost of each person's items?

(a) Write an equation. Let x represent the cost of one of Brian's items.

(b) Solve the equation. Show your work.

(c) Check your solution. Show your work.

(d) State the solution in complete sentences.

Answers

Let us assume Brian's one item cost = $ x.

Chris one item cost is $2.50 more than Brian’s items each cost.

Therefore, Chris one item cost is = $(x+2.50).

Total cost of Brian's 4 items = 4*x = 4x.

Total cost of Chris's 3 itmes = 3*(x+2.50) =3(x+2.50)

It is said that Brian and Chris both paid the same amount of money.

Therefore,

Total cost of Brian's 4 items = Total cost of Chris's 3 itmes.

a) We can setup an equation now,

4x = 3(x+2.50), where x represent the cost of one of Brian's items.

b) Let us solve above equation for x.

4x = 3(x+2.50)

distributing 3 over (x+2.50), we get

4x = 3x + 7.50.

Subtracting 3x from both sides we get

4x-3x = 3x-3x =7.50.

x = 7.50.

Therefore, the cost of one of Brian's items = $7.50.

Chris one item cost is $2.50 more than Brian’s items each cost.

Chris one item cost is = 7.50 +2.50 = $10.00.

c) Plugging x=7.50 in the equation we get to check the solution.

4x = 3(x+2.50)

4(7.50) = 3(7.50+2.50).

30 = 3(10.00)

30=30.

Therefore, solution x=7.50 is correct.

d) The cost of one of Brian's items is $7.50 and Chris's one item cost is $10.00.

Answer:

Brians is $7.50 and chris is $10.00!

I'm sorry I don't have the math but I submitted the assignment and got a 100!

simplify (3x+2)(x-7)

Answers

the answer is
[tex]3 {x}^{2} - 19x - 14[/tex]
first you must multiply or use the FOIL method (First, Outer, Inner, Last)
First you multiply the first terms
[tex](3x)(x)[/tex]
this gives you 3x^2, then you multiple the outer terms
[tex] ( - 7)(3x)[/tex]
this gives you -21x, then you multiply the inner terms
[tex](2)(x)[/tex]
that gives you 2x, finally you multiply the last terms
[tex](2)( - 7)[/tex]
that gives you 14, now you combine like terms
[tex] - 21x + 2x = - 19x[/tex]
now you put all the terms together and end up with your solution
[tex]3 {x}^{2} - 19x - 14[/tex]

Remember to follow the FOIL method.

Note that: FOIL = First, Outside, Inside, Last.

Multiply

First: (3x)(x) = 3x²

Outside: (3x)(-7) = -21x

Inside: (2)(x) = 2x

Last: (2)(-7) = -14

-------------------------------------------------------------------------------------------------------------

3x² -21x + 2x -14

Combine like terms

3x² (-21x + 2x) - 14

3x² - 19x - 14

3x² - 19x - 14 is your answer

~Rise Above the Ordinary

The dimensions of a rectangle can be given by x+7 and x+2. If the area of the rectangle is 66 square inches, what are the dimensions of the rectangle?

Answers

to solve  for the dimensions (x+7)(x+2)=66,

we can first use the foiling method to simplify the left side.

x^2 + 2x + 7x + 14 = 66

x^2 + 9x + 14 = 66

now, subtract 66 from both sides.

x^2 + 9x - 52 = 0

now, split this into two parentheses.

(x + 13)(x - 4)

since the root of -13 would give you negative values, x=4. This means that the dimensions of the rectangle are 11 and 6.

The dimensions of the rectangle is 11 by 6 inches

How to determine the dimensions?

The dimensions are given as:

x + 7 and x + 2

The area is given as:

Area = 66

The area of a rectangle is:

Area = Length * Width

So, we have:

(x + 7) * (x + 2) = 66

Express 66 as 11 * 6

(x + 7) * (x + 2) = 11 * 6

By comparison, we have:

x + 7 = 11 and x + 2 = 6

Solve for x

x = 4 and x = 4

Substitute 4 for x in x + 7 and x + 2

x + 7 = 4 + 7 = 11

x + 2 = 4 + 2 = 6

Hence, the dimensions of the rectangle is 11 by 6 inches

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John and his family went out to eat at the bill of the food was $65 and it has a 20% tip what was the total cost other meal including the tip

Answers

$78

$65x.20=13

65+13=$78

Katie bought a dozen donuts for $1.99. Write an equation which shows how yo fib the price (p) of each donut.

Answers

1.99p= price of each donut

$1.99/12

hope this helps


a baseball coach bought some bats and gloves for the school's baseball team.the bats cost $20 to $35,and gloves cost $30 to $60.which of this does not represent a reasonable total purchase price for 15 bats and 12 gloves

A.$1,350
B.$890
C.$1,200
D.$705

Answers

Max cost of 15 bats = 15 x 35 = $535

Min cost of 15 bats = 15 x 20 = $300


Max cost of 12 gloves = 12 x 60 = $720

Mix cost of 12 gloves = 12 x 30 = $360


Min total cost = 360 + 300 = $660

Max total cost = 535 + 720 = $1255

The range is from  $660 to $1255

=============> Answer (A) is out of the range

20 PTS!!!


For what value of x will the line passing through the following pairs of points be vertical? F(3−2x, 12) and G(x+9, 7)

Answers

Answer: x = -2

Step-by-step explanation:

vertical line means it will be x = ___

Set the x-values equal to each other and solve for x.

3 - 2x = x + 9

   +2x +2x    

3        = 3x + 9

-9                -9

-6       =3x

    [tex]\frac{-6}{3} = \frac{3x}{3}[/tex]

     -2 = x

The line passing through the points F(3−2x, 12) and G(x+9, 7) will be vertical if x = -2

For two points (X₁, Y₁) and (X₂, Y₂) to form a vertical line, the x-coordinates must be equal

The given points are F(3-2x, 12) and G(x+9, 7)

X₁ = 3 - 2x

X₂ = x + 9

For the points to form a vertical line:

X₁  =  X₂

3  -  2x    =  x   +  9

Collect like terms

x  +  2x   =  3   -  9

3x    =   -6

Divide both sides by 3

3x / 3  =  -6/3

x    =   -2

The line passing through the points F(3−2x, 12) and G(x+9, 7) will be vertical if x = -2

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Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?


-15m = -4m
-7m - 8 = m - 4
-3m - 8 = 4 - m
m - 4 = -7m - 8
-8 - 7m = -4 + m
-8 - 3m = 4 - m

Answers

It's B)



Sorry... I was late



Answer:

-7m - 8 = m - 4

Step-by-step explanation:

Our original equation is

-2m - 5m - 8 = 3 + (-7) + m

Combining like terms on the left, we have

-7m - 8 = 3 + (-7) + m

Combining like terms on the right, we have

-7m - 8 = -4 + m

Writing the equation with the variable first on the right hand side, we have

-7m - 8 = m - 4

what is 25% of 1000?????

Answers

All you need to do is divide 1000 by 4 which is 250 :)

Hey there!


25% of 1,000

= 25% * 1,000

= 25/100 * 1,000/1

= 25 ÷ 5 / 100 ÷ 5 * 1,000/1

= 5 / 20 * 1,000/1

= 5 ÷ 5 / 20 ÷ 5 * 1,000/1

= 1 / 4 * 1,000 / 1

= 1/4 * 1,000/1

= 1(1,000) / 4(1)

= 1,000 / 4

= 1,000 ÷ 4

= 250


Therefore, your answer should be: 250


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Martha earns $12.47 per hour. John makes 3 times as much as Martha. How much does John earn per hour?

A.$36.00

B.$37.21

C.$37.41

D.$36.41


PLEASE HELP ME ASAP

Answers

The answer is C.37.41

it's C. $37.41 that's is ur answer

what number decreased by 8.1 equals 4.9

Answers

In order to get your answer add 8.1 + 4.9 = 13. Then to double check subtract 13 by 8.1 which equals 4.9. Hope this helps!

17.99 is the answer

if you were to decrease it you'd get

9.8

Ichiko has guitar practice at 5:00 P.M. on Wednesday. It takes 20 minutes for him to get to his lesson from school. He spends an hour in the science lab before leaving. If it takes 10 minutes to get ready for the lab, what time does his class end?

Answers

5:00 practice - 20 minute walk - 60 minutes in science lab - 10 minutes to get ready for the lab.

5:00 - 90 minutes

3:30 for class end time

Estimate then record the product 293*4

Answers

I believe that the equations answer is around 1170. The answer to the equation is 1172

Answer:

1172

Step-by-step explanation:

write each percent as a decimal 89% 100% 0.01%

Answers

To turn percentages into decimals you must multiply by 100 or move decimal over 2 places to the right

89% × 100 = 0.89

100% × 100 = 1

0.01% × 100 = 0.0001

Write the numerical expression for the product of 8 and the sum of 9 and 11.3. Then evaluate it.

Answers

Solution: The numerical expression is [tex]8\times (9+11.3)[/tex] and the value of this expression is 162.4.

Explanation:

The sum of 9 and 11.3 is written as [tex](9+11.3)[/tex].

The product of 8 means the expression should multiply by 8.

According to the given information the the product of 8 and the sum of 9 and 11.3 is written as [tex]8\times (9+11.3)[/tex].

To evaluate the value of the expression first we have to add 9 and 11.3 after that multiply the result by 8.

[tex]8\times (9+11.3)=8\times (20.3)\\8\times (9+11.3)=162.4[/tex]

Therefore, the numerical expression is [tex]8\times (9+11.3)[/tex] and the value of this expression is 162.4.



Answer:

162.4

Step-by-step explanation:

To write the numerical expression for the product of 8 and the sum of 9 and 11.3 we need to follow these steps:

Sum of 9 and 11.3 is given as follows:

[tex](9+11.3)[/tex]

Now the product of 8 and the sum of 9 and 11.3 is:

[tex]8(9+11.3)[/tex]

So the required expression is:

[tex]8(9+11.3)[/tex]

Solving the above expression we get:

[tex]8(9+11.3)=8(20.3)=8 \times 20.3=162.4[/tex]

find the number of sides of a regular polygon if the measure of an interior angle is 157.5°

Answers

In a polygon with n sides, the sum of the measures of the interior angles, S, is

[tex] S = (n - 2)180 [/tex]

In a regular polygon with n sides, the measure of each interior angle, a, is the sum of the measures of the interior angles divided by the number of sides, or

[tex] a = \dfrac{(n - 2)180}{n} [/tex]

In this case, we know the measure of one angle, a = 157.5°, so we plug it into the second formula and solve for n.

[tex] a = \dfrac{(n - 2)180}{n} [/tex]

[tex] 157.5 = \dfrac{(n - 2)180}{n} [/tex]

[tex] 157.5n = (n - 2)180 [/tex]

[tex] 157.5n = 180n - 360 [/tex]

[tex] -22.5n = -360 [/tex]

[tex] n = 16 [/tex]

Answer: The polygon has 16 sides.

Final answer:

In order to find the number of sides for a regular polygon with an interior angle of 157.5°, we use the formula n = 360 / (180 - 157.5), which gives us n = 16. Hence, the polygon has 16 sides.

Explanation:

In mathematics, the number of sides of a regular polygon can be found if the measure of an interior angle is known. Given that the interior angle is 157.5° we use the formula for calculating the measure of an interior angle in a regular polygon:

n = 360 / (180 - 157.5)

Where 'n' represents the number of sides in the polygon. Substituting 157.5 into the formula, the calculation becomes n = 360 / 22.5. By performing the calculation, we find that n = 16. Therefore, the regular polygon with an interior angle of 157.5° has 16 sides.

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what is the answer
−2=6/7p

Answers

Isolate the p. Note the equal sign. What you do to one side, you do to the other. Multiply 7/6 to both sides

(-2)(7/6) = (6/7)(7/6)p

p = (-2)(7/6)

Multiply -2 and 7, then divide by 6

p = (-2 x 7)/6

p = -14/6

Divide

p = ~-2.33 (rounded)

-2.33 is your answer

hope this helps

Hello there!

[tex]-2=6/7p\\[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓

First you had to switch sides.

[tex]\frac{6}{7}p=-2[/tex]

Then you multiply by 7 from both sides of the equation.

[tex]7*\frac{6}{7}p=7(-2)[/tex]

Simplify

[tex]6p=-14[/tex]

Divide by 6 from both sides of the equation.

[tex]\frac{6p}{6}=\frac{-14}{6}[/tex]

Simplify it should be the correct answer.

[tex]p=-\frac{7}{3}[/tex]

Answer⇒⇒⇒⇒⇒p=-7/3

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

estimit of 309 times 29 im in school

Answers

We can round 29 up to 30, and 309 up to 310. This gives us a rough estimate of about  9,300.

Find n so that number sentence below is true and explain your answer, referencing the relevant properties of exponents

Answers

Ugh, I hate FLVS. I'm not exactly sure, but i know that 2 to the 12 power is 24, and 2 to the fourth power is 8. Sorry I'm not being very helpful.

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Second, his top employee has informed him that she must schedule a surgery in two weeks and has to take the following six weeks off. Then he heard a rumor that the building where he rents his shop is for sale, meaning he may have a new landlord and higherrent. Finally, the largest refrigerator in his store is making funny noises, and he suspects it will soon stop working. If this happens, he may lose inventory. Part 1 (1pt): Prioritize the problems described by putting the most immediate problem first and the least pressing last. Part 2 (1pt): Explain the order you chose. Then suggest actions that could be taken to address the problems.hy does Herold feel it is important that we should train people to be entrepreneurs? 10.What are some ways that parents or society can nurture entrepreneurial skills in childre Prior to investing you should Explain why nuclear fission and nuclear fusion release large amounts of energy. Read the excerpt from President John F. Kennedy's 1961 inaugural address. Let every nation know, whether it wishes us well or ill, that we shall pay any price, bear any burden, meet any hardship, support any friend, oppose any foe, to assure the survival and the success of liberty. This much we pledgeand more. To those old allies whose cultural and spiritual origins we share, we pledge the loyalty of faithful friends. United, there is little we cannot do in a host of cooperative ventures. Divided, there is little we can dofor we dare not meet a powerful challenge at odds and split asunder. Which statement best summarizes the central idea in this excerpt? A) All other countries need to know that we will fight them at any cost to maintain our liberty. B) We value our allies, but we will go our own way if they do not agree to work with us. C) The only way to achieve success is to fight for the things you believe in, such as freedom. D) We will do whatever it takes to preserve our freedom, but will get more done working together. What are sources of compost for a person living in Canada versus a person living in Arizona? A Mallard duck flies 5 6 of a mile in 1 60 of a hour. Compute the unit rate by setting up a complex fraction and simplifying. A)25 miles per hour B)30 miles per hour Eliminate C)50 miles per hour D)60 miles per hour The original price of a TV is $384. Which coupon is a better deal? A) SAVE 30% ON ANY TV B) SAVE $100 ON ANY TV C) SAVE $75 PLUS 5% OFF ON ANY TV D) SAVE $50 PLUS 10% OFF ON ANY TV E) SAVE $20 PLUS 20% OFF ON ANY TV What is the change in temperature from 15 to -9? The difference between the two square roots of a whole number is about 5.3 what is the number To test acidity levels of water, scientists test pH. As acid rain falls, the pH level of the water in lakes and streams decreases. While certain animals can tolerate low pH levels, others are extremely sensitive to the effects of acid rain and cannot live under these conditions. Candice is working on a project to determine whether acid rain is causing a decrease in the number of bass and mayflies in a lake in her hometown. Candice takes a sample of the pH level of the lake, and she finds that the pH level is 5.4. What might Candice predict as a result of her findings