200 POINTS! PLEASE HELP!!!


You have $75 dollars to spend on side dishes for a party. Pasta salad costs $2.50 a pound and fruit salad costs $3.75 a pound. you must buy at least 5 pounds of pasta salad and 3 pounds of fruit salad. There are 40 people to feed and there needs to be at least a quarter of a pound of each side dish for every guest. You want to be able to buy the most amount of food for the party.


let x = pounds of pasta salad and y = pounds of fruit salad.

The objective function is f=x+y.

The vertices of the feasible region are (5,5) (5,16.6) (25.5,3) and (7,3)


what is the maximum amount of food you should buy?

how much pasta should you buy?

how much fruit salad should you buy?

Answers

Answer 1

Answer:

So, I cannot answer the whole question, but I can give you my thought process. SO, since you need to feed 40 people with a quarter of each meal - you would need 10 pounds of each dish. Therefore the information about the "least amount" of each dish is met. As mentioned, x = pounds of pasta salad, while y = pounds of fruit salad. this means x would equal 10 and y would equal 10. In order to find out what it would cost is:

2.50 x 10 = 25 ($25)

3.75 x 10 = 37.5 ($37.50)

the function could possibly be f=10+10?

The maximum amount of food you should buy would be 20 pounds of food, considering you need to have enough for each guest.

You should buy 10 pounds or $25 worth of pasta salad, and 10 pounds, or $37.50 worth of fruit salad.


Related Questions

I need help with thissssss

Answers

Answer:

Loading,please wait...

Step-by-step explanation:

quadratic graphs
y=x squared - 4x

Answers

This is one way of doing it.

We want to get the function into vertex form.  

y = x2 - 4x + 2                  Subtract 2 from both sides.

y - 2 = x2 - 4x                   Add (-4/2)2 , or 4, to both sides.

y - 2 + 4 = x2 - 4x + 4       Now that the right hand side is a perfect square trinomial, factor it.

y + 2 = (x - 2)(x - 2)          

y + 2 = (x - 2)2                  Subtract 2 from both sides.

y = (x - 2)2 - 2

 

When the equation is in this form, we can see that this is the graph of y = x2 shifted to the right 2 units and shifted down 2 units. The vertex is at (2, -2). So plot the first point at (2, -2) and go up just like a basic parabola from there. :)

I need to find 15/4 + (-4 1/3)

Answers

Answer:

Step-by-step explanation:

11

Does the following set of ordered pairs make up a relation? If so, is the relation also a function?
Why or why not?

{(2,4), (3, 6), (4,8), (5, 10), (6, 12), (7, 14)

Answers

Answer:

Yes! It does make up a relation. It is also a function. Each x has a y. And also the x doesn't repeat

who ever can answer me this can git points and a branliest but answer it rite

Answers

Answer:

2/3

Step-by-step explanation:

3-7

-----

-6-0

= -4/-6

=2/3

Answer:

- 2/3

Step-by-step explanation:

Use the slope formula:

[tex]m=(y_2-y_1)/(x_2-x_1)[/tex][tex]m=(3-7)/(0-(-6))=-4/6=-2/3[/tex]

if I have 350 cream puffs and I have to have 12 in each box how many boxes will I need​

Answers

Answer:

30

Step-by-step explanation:

350÷12=29.1666666666666666......

if you are fitting all of them with no remainder than it would be 30 boxes

if not then 29

Answer:

29 full boxes plus one for the remainder

Step-by-step explanation:

why do you need to know this

and please dont eat that many cream puffs

Give Me Brainliest


a) Si al cuadrado de un número se le suma el doble del mismo número y se resta 5, se
obtiene 75. ¿Qué número es?
Ecuación:
• Soluciones:

Answers

Construyendo y resolviendo una ecuación, tenemos que el número puede ser 8 o -10.

El número es desconocido, así que lo llamaremos x. El cuadrado del número es [tex]x^2[/tex].El doble es [tex]2x[/tex], sumando al cuadrado, [tex]x^2 + 2x[/tex].Se resta 5, o sea, [tex]x^2 + 2x - 5[/tex].Obtiene 75, entonces: [tex]x^2 + 2x - 5 = 75[/tex].

Para encontrar el número, tenemos que resolver una ecuación cuadrática, luego:

[tex]x^2 + 2x - 5 = 75[/tex]

[tex]x^2 + 2x - 80 = 0[/tex]

Ecuación cuadrática con [tex]a = 1, b = 2, c = -80[/tex]

[tex]\Delta = 2^2 - 4(1)(-80)[/tex]

[tex]x_{1} = \frac{-2 + \sqrt{324}}{2} = 8[/tex]

[tex]x_{2} = \frac{-2 - \sqrt{324}}{2} = -10[/tex]

El número puede ser 8 o -10.  

Un problema similar es dado en https://brainly.com/question/24673650

If the ticket was $36 and she bought it at original price and marked it up 10% and resold the ticket .how much did he resell the ticket for?

Answers

36+ 10/100 *36 = 39.6

Fill in the missing number. 30% of = 2,700

Answers

Answer:

810!

Hope this helped! Have a nice day!!

Answer:

30% of 2,700 is 810

Step-by-step explanation:

proportions

0.30×2,700

810

(a) Write the point–slope form of a function that has a slope of 3- 5 and passes through the point (6,1). (b) Algebraically manipulate your answer in part a to produce the slope– intercept form of the function that has a slope of 3 - 5 and passes through the point (6,1).

Answers

Answer:

sloped answer

Step-by-step explanation:

(6,1) guessed soon, look other too

27/125 in simplest form

Answers

[tex] \frac{27}{125} [/tex]

It is already in the simplest form. It can be written as 0.216 in decimal form (rounded to 6 decimal places).

Answer:

27 /125

is already in the simplest form. It can be written as 0.216 in decimal form (rounded to 6 decimal places).

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 27 and 125 is 1

Divide both the numerator and denominator by the GCD

27 ÷ 1 /125 ÷ 1

Reduced fraction:  

27 /125

Therefore, 27/125 simplified to lowest terms is 27/125.

True or Fasle


1.A different of two square has a middle term.

2.The binomial x² + 4 is equal to (x + 2) (x + 2).

3. The complete factored form of x⁴ - 16 is (x² + 4) (x² - 4)

4. When x + 3 is multiplied by x - 3, the product is a perfect square trinomial.

Answers

1. True.

2. False. x² + 4 = (x+2)(x-2)

3. True.

4. False. It gives (x²-9) which is a binomial.

Feel free to mark this as brainliest! :D

Plz help with my geometry questions. And if so plz DONT JUST ANSWER plz explain why bc I am so lost.


Options

1. Is either

a. Angle 1 and angle 3

b. Angle four and angle 2

c. Angle four and angle 8


2. Is either

a. Greater than

b. Less than

c. Congruent to


3 is either

a. Angle 2 and angle 5

b. Angle four an angle 7

c. Angle 5 and angle 7

Answers

Answer:

1.c

2.c

3.a

Step-by-step explanation:

1. because angle 4 and angle 8 are in the  same spot

2. these are alternative interior angles on a parell line so the are congruent

3. angle 2 and angle 5 are on the same side and inside the 2 lines

11 + 4n - 2n + 12 HELPPPPPPPPPPPPPPP

Answers

Answer:

2n + 23

Step-by-step explanation:

11 + 4n - 2n + 12

Rearrange terms:

4n - 2n + 12 + 11

Combine like terms:

2n + 23

[tex]which graph represents the solution for the inequality 10 ≤ 3x-2?

Answers

Answer:

10+2<=3x 12<=3x3 34<=xx<=4

Find the x- and y-intercepts of the graph of 4x – 7y = 36. State each
answer as an integer or an improper fraction in simplest form.
x-intercept:
y-intercept:

Answers

Answer:

See below

Step-by-step explanation:

X Intercept = (9,0)

Y Intercept = (0, -5.143) in fractions (0,-5 143/1000)

X Intercept is what is X when Y is 0.

Y Intercept is what is Y when X is 0.

If is helped you, please mark this as brainliest!! Thank you!! :)

A. If the measure of 1 = 160°, then the measure of 5 =

B. If the measure of 6 =37°, then the measure of 4 =

C. If the measure of 8 = 82, then the measure of 3 =

Answers

Answer:

A) ∠5 = 160°

B) ∠4 = 37°

C) ∠3 = 98°

Step-by-step explanation:

A)

If ∠1 = 160°

∠5 = ∠1 = 160° (∵ Corresponding angles are always equal)

B)

If ∠6 = 37°

⇒ ∠4 = ∠6 = 37° (∵ Vertical angles are always equal)

C)

If ∠8 = 82°

⇒ ∠8 = ∠6 = 82° (∵ Alternate interior angles are always equal)

Now ,

∠6 + ∠3 = 180° (∵ Linear pair)

⇒ ∠3 + 82° = 180°

∠3 = 180° - 82° = 98°

what is 7.2 times 10 with the exponent of 5

Answers

Answer:

the answer is 720000

Step-by-step explanation:

looked it up

This isn't a question, but if you need help with math come to me.

Answers

Answer:

Bet!! :D can i get brainliest !! please

Step-by-step explanation:

HELP HELP HELP HELP HELP​

Answers

Answer:

1) 2 and 4

2) 3 and 4

3) 7 and 8

4) 9 and 10

5) 21 and 22

Answer:2 & 33 & 47 & 89 & 1021 & 22

Step-by-step explanation:

#1

Since √(8) = √(2×4) = 2√2

then the √(8) lies between 2 & 3

#2

Since √(9) = 3 & √(16)= 4

then √(14) lies between 3 & 4

#3

√(60) = √(4×15) = 2√(15)

  since √16 = 4 and 4 × 2 = 8

  then 2√(15) < 8

∴ the √16 lies between 7 & 8

#4

√99 = √(9×11) = 3√11

√11 lies between √9 & √16 but closer to √9

   & 3 × √16 = 12

the 3√11 = √99  likely lies between 9 & 10

#5

√444 = √(4×111)= 2√111

since √100 = 10 & √121 = 11

& 2×10= 20 & 2×11= 22

then 2√111 is likely between 21 & 22

10 Points!!! Write the equation of a line with slope 2 and y-intercept -1.

Answers

Answer:

y=2x-1

Step-by-step explanation:

Csc(6x)-cot(6x)/csc(6x)+cot(6x)

Answers

The value of the expression Csc(6x)-cot(6x)/csc(6x)+cot(6x) is tan²3x.

What is a Trigonometric Ratios?

Trigonometric Ratios are ratios of the side of a right angled triangle. These are used to find the missing sides and angles of a right angled triangle.

[tex]\rm =\dfrac {cosine(6x)-cot(6x)}{cosine(6x)+cot(6x)}\\\\\\\ = \dfrac{ \dfrac{1}{sin6x} - \dfrac{cos6x}{sin6x}}{ \dfrac{1}{sin6x} + \dfrac{cos6x}{sin6x}}\\\\\\ = \dfrac{ 1-cos 6x}{1+cos6x}[/tex]

( 1- cosx = 2sin²x/2) ( 1+cosx = 2cos²x/2)

[tex]\rm = \dfrac{ 2 sin^2 3x}{2 cos^2 3x}\\\\\\\\=tan^2 3x[/tex]

To know more about Trigonometric Ratios

https://brainly.com/question/1201366

#SPJ2

You go to a team dinner with your aunt and uncle. The cost of a student meal is $5.50. Meals for adults cost $12.50 each. How much does it cost for the three of you to go to the dinner?

Answers

Answer:

$16.5 or $30.5

Step-by-step explanation:

for 3 of you (kids) its 5.50x3=16.5 or for you and your aunt , uncle its 5.50+12.50+12.50=30.5

A production process produces electronic component parts. It is presumed that the probability of a defective part is 0.01. During a test of this presumption, 500 parts are sampled randomly and 15 defectives are observed. (a) What is your response to the presumption that the process is 1% defective

Answers

Testing the hypothesis, we have that since the p-value of the test is 0 < 1, our response is that the presumption underestimates the proportion of defective parts.

At the null hypothesis, we test if the proportion of defectives is of at most 1%, that is:

[tex]H_0: p \leq 0.01[/tex]

At the alternative hypothesis, we test if the proportion of defectives is of more than 1%, that is:

[tex]H_1: p > 0.01[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

From the sample, we have that:

[tex]n = 500, \overline{p} = \frac{15}{500} = 0.03[/tex]

Thus, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.03 - 0.01}{\sqrt{\frac{0.01(0.99)}{500}}}[/tex]

[tex]z = 4.49[/tex]

The p-value of the test is the probability of finding a sample proportion above 3%, which is 1 subtracted by the p-value of z = 4.49.

z = 4.49 has a p-value of 1.

1 - 1 = 0.

The p-value of the test is 0 < 1, which means that our response is that the presumption underestimates the proportion of defective parts.

A similar problem is given at https://brainly.com/question/24912812

Transpose for y.
y/5+ f = 3q

Answers

Answer:

y = 15q - 5f

Step-by-step explanation:

[tex]\frac{y}{5}[/tex] + f = 3q ( subtract f from both sides )

[tex]\frac{y}{5}[/tex] = 3q - f ( multiply through by 5 to clear the fraction )

y = 15q - 5f

If f(x) = 5-2x find f(9)+ 3

Answers

f (9) = 5 - 2 (9)

f (9) = 5 - 18

f (9) = - 13

f (9) + 3 = - 13 + 3

f (9) + 3 = - 10

Answer:

the answer is -10

Step-by-step explanation:

a professional baseball pitcher was capable of throwing a baseball 160 ft/s. during his career, he had the opportunity to pitch in the Houston astrodome,

Answers

Answer:

wheres the rest of question?

Step-by-step explanation:

The graph off passes through (-9, -3) and is perpendicular to the line whose equation is x= -8.

Answers

Answer:

pooStep-by-step explanation:Stinky

What is the square root of 80?

Answers

Answer:

√80 = 4√5

80²=1600

Step-by-step explanation:

80 | 2

40 | 2

20 | 2

10 | 2

5 | 5

√80= 2⁴ × 5

80= 2² × 5

80 = 4√5.

any answers to this problem?

Answers

Answer:

q(8) = 39.

Step-by-step explanation:

relate the values

for,

q(x) = 1/2x² + 7

q(8) = 1/2(8²) + 7

q(8) = 39.

Answer:

q(8) = 39

Step-by-step explanation:

To solve this question, you need to plug in (substitute) 8 instead of x:

q(8) = [1/2(8)²] + 7

= (1/2 × 64) + 7

= 32 + 7

= 39

∴ q(8) = 39