1. A pharmacy has determined that a healthy person should receive 70 units of proteins, 100 units of carbohydrates and 20 units of fat daily. If the store carries the six types of health food with their ingredients as shown in the table below, what blend of foods satisfies the requirements at minimum cost to the pharmacy? Make a mathematical model for the given problem.
Foods
A
20
B
30
C

40
40
E
F
45
30
Protein units
Carbohydrates units
50
30
4
Cost per unit
9
235
20
11
25
10
6
50
20
Fat units
9
10
8

Answers

Answer 1

According to the information in the graph, the blend of foods that satisfies the requirements at the minimum cost is option A because it would be worth only 10.

How to calculate which is the cheapest blend of food option?

To calculate the cheapest blend of food option, we must take into account the amounts of each element (carbohydrate, protein, fat) and identify how many units of each blend we need to cover the minimum quota.

Based on the above information, to identify the blend units we need to cover the minimum quota we must find it by multiplying each of the elements by the number of times we would need to meet the minimum requirement. Once we identify the quantities we need, we must multiply the price by the number of units we need.

Following the previous procedure, we can identify that the best option would be blend A because we must buy it 5 times to cover the minimum requirements. Additionally, its value would be 10, while the others would have a higher value.

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Related Questions

Two investments totallng $47,500 produce an annual income of $3000. One investment ylelds 9% per year, while the other yields 6% per year. How much is invested at each rate?​

Answers

Answer:

The correct answer is "$5000".

Step-by-step explanation:

The given values are:

Two investments totaling,

= $47,500

Annual income,

= $3000

One investment yields per year,

= 9%

Other yield,

= 6%

Let,

The amount invested in 9% will be "x".The amount invested in 6% will be "[tex]47,500-x[/tex]".

Now,

⇒  [tex]0.09x+0.06(47,500-x)=3000[/tex]

⇒        [tex]0.09x+2850-0.06x=3000[/tex]

⇒                     [tex]0.03x+2850=3000[/tex]

⇒                                [tex]0.03x=150[/tex]

⇒                                       [tex]x=\frac{150}{0.03}[/tex]

⇒                                       [tex]x=5000[/tex]

HELP!!!!!!ASAP!!!!!!​

Answers

Answer:

Im only in middle school, sorry

Step-by-step explanation:

I have tips tho!

always write information down, only useful ones, and not like "jimmy love to play basketball" kin of stuff.

Think it through, dont just guess.

Hope this helps i guess,

-yuko

What is the value of the expression: 2-7-(-8) + -10

Answers

Answer:

-7

Step-by-step explanation:

Answer:

-7

Working:

2-7-(-8)+ (-10)

=2-7+8-10

=-7

−4x + 2y < 10 in slope intercept

Answers

Answer:

y < 2x + 5

Step-by-step explanation:

The format for slope intercept is y = mx + b. In this case, it is y < mx + b. Your equation is -4x + 2y < 10. First, start by adding 4x to -4x. This gets rid of that number on the left so it can just be 2y. Now, add that 4x to the right side of the equation. You are left with 2y < 4x + 10. The final step is to divide 2 from 2y. Since you are doing this step on the left side of the equation, you must now do it to the right. After also dividing 2 from 4x and 10, your final answer is y < x +5.

PLEASE HELP
3/4x - 7 = 3 (1/6x +1)

Solve the linear equation and determine whether it’s one solution or infinite solution or no solution

Answers

Answer: one solution

Step-by-step explanation:

CONCEPT:

- One solution is when the final variable would be able to find a solution.

- Infinite solution is when the equations result in 0=0, meaning any number will fit

- No solution is when the equation results in both sides on equal.

SOLVE:

Given

3/4x-7=3(1/6x+1)

Expand Parenthesis

3/4x-7=1/2+3

Multiply both sides by the LCM of fractions (Least Common Multiple)

4(3/4x-7)=4(1/2x+3)

3x-28=2x+12

Subtract both sides by 2x

3x-28-2x=2x+12-2x

x-28=12

Add both sides by 28

x-28+28=12+28

x=40

Since we are able to get exactly one solution, there is only one solution.

Hope this helps!! :)

Please let me know if you have any quesionts

10. A large shipment of video streaming devices is accepted upon delivery if an inspection of 20 randomly selected video streaming devices yields no more than 1 defective item. a. Find the probability that the shipment is accepted if 3% of the total shipment is defective. b. Find the probability that the shipment is accepted if 15% of the total shipment is defective.

Answers

Answer:

a) 0.8802 = 88.02% probability that the shipment is accepted

b) 0.1756 = 17.56% probability that the shipment is accepted if 15% of the total shipment is defective.

Step-by-step explanation:

For each item, there are only two possible outcomes. Either it is defective, or it is not. The probability of an item being defective is independent of any other item. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20 randomly selected video streaming devices

This means that [tex]n = 20[/tex]

a. Find the probability that the shipment is accepted if 3% of the total shipment is defective.

3% defective means that [tex]p = 0.03[/tex]

Probability of at most 1 defective is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.03)^{0}.(0.97)^{20} = 0.5438[/tex]

[tex]P(X = 1) = C_{20,1}.(0.03)^{1}.(0.97)^{19} = 0.3364[/tex]

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5438 + 0.3364 = 0.8802[/tex]

0.8802 = 88.02% probability that the shipment is accepted.

b. Find the probability that the shipment is accepted if 15% of the total shipment is defective

Now [tex]p = 0.15[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.15)^{0}.(0.85)^{20} = 0.0388[/tex]

[tex]P(X = 1) = C_{20,1}.(0.15)^{1}.(0.85)^{19} = 0.1368[/tex]

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0388 + 0.1368 = 0.1756[/tex]

0.1756 = 17.56% probability that the shipment is accepted if 15% of the total shipment is defective.

A pillow that usually costs $18 is marked down 25%. Which expressions can be used to find the new price of the pillow? Check all that apply.
18 – 0.25(18)
18 – 0.75(18)
0.25(18)
0.75(18)
18(0.25) + 18

Answers

Answer:

a and d

Step-by-step explanation:

brainliest if you want :)

Answer:

A or 18 – 0.25(18)

and

D or 0.75(18)

Step-by-step explanation:

Have great rest of your day. I know this works because I got it correct on the assignment. Good luck! :)

giving out brainliest answer !!!! help me out asap please !!!!

Answers

Answer:

8.07

Step-by-step explanation:

sin(48)=x/6

6sin(48)=x

help plz its a mathematical punnet square

Answers

Answer:

X    2     -7

-9  -18    126

3    -54   -6,804

     1944  7.71

      0.00396604938

Step-by-step explanation:

I tried. Sorry if it's wrong I've never done a mathematical punnet square before.

The equation shown has an unknown number. Write a fraction that makes the equation true.
? + 2/3 = 3/4

Answers

Answer: ?= 1/12
Is the correct answer

Find f(-3) if f(x) = x 2.
A) 6
B-9
C)9
D-6

Answers

Answer: f(-3)=(-3)^2

f(-3)=9

the answer is C

Step-by-step explanation:

What is the answer please help

Answers

Answer:

7

Step-by-step explanation:

Mode is the value that appears most often. 7 appears the most often in this list.

WILL MARK BRAINLIEST
Solve for y

110
75
100
55

Answers

Answer:

Answer for Y is 100....

Answer:

100

sorry if my answer is wrong

Which equation shows that 8 is a factor of 32?

Choose 1 answer:

(Choice A)

32 = 8 + 24

(Choice B)

32 = 40 - 8

(Choice C)

32=256÷8

(Choice D)

32=8×4

Answers

Answer:

D

Step-by-step explanation:

A factor is when you divide a number and get no remainders. D shows that 8*4 is 32, meaning that 32/8=4.

why is the equation of the line that has a slope of 4 and a y intercept of -7​

Answers

y=4x-7

hope this helps
Y=4x-7 glad to help

Solve equation by using the quadratic formula.
2x? + 13x = 0

Answers

Answer:

c

Step-by-step explanation:

ixllllllllllllllllllll

Answers

Answer:

the answer is 7 feet

Step-by-step explanation:

28/4=7

Someone help me with this please I will mark Brainliest if correct.

Answers

Answer:

Add the formula do the math!

I will give you the answer later!

P.s maybe after you tell me if you figured it out!

Step-by-step explanation:

Have a great week!

Hope i helped! <3

Tell me if so!

Your welcome!

Byes! :)

-Sincerely, Brainliest!

HELP ASAP!!!! 20 POINTS!!

Answers

Answer:

Can you upload this as a jpg, I can't open it to asnwer. Also, you listed 10 points not 20.

Step-by-step explanation:

POINTS UP FOR GRABS TAKE IT QUICK

Answers

Answer:

omg

Step-by-step explanation:

wowo .. . . . . . . . . . . . . . . . .

Answer:

Thanks so muchhh!! I'm really bad at math so I post questions alot so I dont have many points often. :)

Find the measures of the numbered angles in each kite.

Answers

Answer:

x = 15

y = 13

Step-by-step explanation:

6x - 4 = 5x + 11

x = 15

4y + 3 + 3y + 86 = 180

7y = 91

y = 13

ye I don’t so any of y’all got the answer?

Answers

No we donntttt I’m struggling

x+y+z=9
x-y-z=-1
x-y+z= 21
Which value is not in the solution, (x,y,z), of the
system?
1) -8.
2) ---6
3) 11
4) 4

Answers

the answer is (-8) because x=4, y=-6, z=11

These consists of more than 1 equation with unknown variables. The value that is not a solution in (x,y, z)is -8

System of equations

These consists of more than 1 equation with unknown variables. Given the set of equations

x+y+z=9

x-y-z=-1

x-y+z= 21

Add 1 and 2

2x = 9 - 1

2x = 8

x = 4

Subtract 2 and 3

-2z = -22

z = 11

Determine the value of y

x +y + x = 9

4 + y + 11 = 9

y = 9 - 15

y = -6

Hence the value that is not a solution in (x,y, z)is -8

Learn more on system of equation here: https://brainly.com/question/25976025

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Anyone know this? Answer for cookie!

Answers

Answer:

no solution

Step-by-step explanation:

the value of 3x+2y can't be two different things at once

Answer: no solutions

Step-by-step explanation:

when the two equations have the same x and y values but a different y intercept they can not have any solutions because they are parallel

Last week, Sue worked 7.5 hours each day on Monday and Tuesday and 6.5 hours each day on Wednesday, Thursday, and Friday. She did not work on Saturday or Sunday. If she is paid $6 an hour, how much did she earn last week? Sue earned $ last week.

Answers

Answer:

$207

Step-by-step explanation:

Calculate how nany hours Sue worked last week:

7.5 + 7.5 + 6.5 + 6.5 + 6.5

34.5 hours total

Now calculate her total income for last week:

34.5 hours × $6

$207

Simplify the following expressions by combining like terms. Then, tell if the expressions are equivalent.

3r + 10 + r -8 and 8 + 2(2r) - 6

Answers

Answer:

2+4r. Expressions are equivalent.

Step-by-step explanation:

3r + 10 + r -8

Multiply r and 3

Multiply r and 1

The r just gets copied along.

The answer is r

r

3*r evaluates to 3r

3*r+10 evaluates to 3r+10

3r + r = 4r

The answer is 4r+10

3*r+10+r evaluates to 4r+10

10 - 8 = 2

The answer is 2+4r

3*r+10+r-8 evaluates to 2+4r

The final answer is

2+4r

8 + 2(2r) - 6

Multiply r and 2

Multiply r and 1

The r just gets copied along.

The answer is r

r

2*r evaluates to 2r

Multiply 2 and 2r

Multiply 1 and r

The r just gets copied along.

r

2*(2*r) evaluates to 4r

8+2*(2*r) evaluates to 8+4r

8 - 6 = 2

The answer is 2+4r

8+2*(2*r)-6 evaluates to 2+4r

The final answer is

2+4r

Name: LESTER GREEN Class: NIGHT SCHOOL Complete with the missing letters and then colour. ED BAK _LU GRE_ W_ _TE PN B_O_N GR. N. a ELL__ RE_ OR N E PURP__ i havourite Colours​

Answers

Black Green
Blue Yellow
Green Red
White Orange
Pink Purple
Brown

Which best describes the solutions to the system?

x + y=− 4
−2x − 2y =0


A one solution
B (0,0)
C no solution
D infinitely many

Answers

Answer:

A best descibes it as we can say its the only answer

Step-by-step explanation:

using symaltaneous equation is the only way to solve it

6) Four bacteria are placed in a petri dish. The population will double every day. The formula for the
number of bacteria in the dish on day tis
N(t) = 4(2)^t
where t is the number of days after the four bacteria are placed in the dish. How many bacteria are
in the dish five days after the four bacteria are placed in the dish?

Answers

Answer:

128

Step-by-step explanation:

N(t) = 4(2)^t

N(t) = 4(2)^5

N(t) = 4(32)

N(t) = 128

The number of bacteria that are

in the dish five days after the four bacteria are placed in the dish is; 128 bacteria

We are given the formula for the

number of bacteria in the dish on day as;

N(t) = 4(2)^t

Where t is number of days after the four bacteria are placed in the dish.

Now we are told tof find the number of bacteria in the dish after 5 days.

Thus, we would put 5 for t in the given equation to get;

N(5) = 4(2)^5

N(5) = 4(32)

N(5) = 128

Read more about exponential growth at; https://brainly.com/question/23766914

10 \div (-2) = ?10÷(−2)=

Answers

Answer: -5 I'm pretty sure, the way you put it kinda made me confused

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