The serving size for a snack is 3 1/5 grams. What amount of servings are in 16.8 grams of the snack?

Answers

Answer 1

The amount of servings are in 16.8 grams of the snack is: 5 servings

How to solve Algebra Word Problems?

Algebraic word problems are defined as questions that require translating sentences to equations, then solving those equations. The equations we need to write will only involve basic arithmetic operations and a single variable. Usually, the variable represents an unknown quantity in a real-life scenario.

We are told that:

Serving Size for a snack = 3¹/₅ grams = 16/5 grams

In 16.8 grams, we can write as 168/10 or 84/5

Thus:

The amount of servings are in 16.8 grams of the snack is:

84/5 ÷ 16/5

= 84/5 * 5/16

= 84/16

= 21/4

= 5.25

Approximately 5 servings

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Related Questions

Help Please need correct answer.

A company produces equal numbers of footballs in three different colors. The manager wants to check each kind of football produced for errors. Which of the following is an example of stratified random sampling?

A) Check first 10 footballs of each color.
B) Group the footballs by their color and then randomly check 10 from each group.
C) Group the footballs by their color and then check the first 3 footballs from each
group.
D) Check the 4th football, and then every 5th football of each color

Help Please need correct answer.A company produces equal numbers of footballs in three different colors.

Answers

Answer: C

Step-by-step explanation:

Answer:

for anyone with the quiz its B!!

i just guessed at random and it was right.

what is the diameter of 12mm and 8mm

Answers

Answer:

diameter 12mm

Step-by-step explanation:

Taylor is looking at her most recent 5 test scores. The average of her last 5 tests has the same value as the median of her 5 test scores. The sum of the 5 scores is 450. What is the sum of the 4 scores that are NOT the median?

Answers

Using the mean formular, the sum of the four scores that are not the median would be 360.

Average or mean score = 450 / 5

Mean score = 90

Hence, median score = mean score = 90

The sum of the 4 scores that are not the median can be calculated thus :

Total score - median score

Sum of the 4 scores = 450 - 90 = 360

Hence, the sum of the 4 scores that are not the median is 360.

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Annie has a yearly gross salary of $52,000 and pays 20% in taxes answer the
following
a) How much does she pay in taxes?
b) What is her net pay?

Answers

Step-by-step explanation:

this is just a simplified situation. normally people have more deductions from their salary than just taxes.

but anyway,

100% = $52,000

1% = 100%/100 = 52000/100 = $520

20% = 20×1% = 20 × 520 = $10,400

so, she pays $10,400 taxes.

and that leaves her from her salary

52000 - 10400 = $41,600

as net pay.

FYI - to calculate the remaining amount, we could have also done the following :

20% get deducted, so, 80% remain.

80% = 80×1% = 80 × 52000/100 = 52000 × 80/100 =

= 52000 × 0.80 = $41,600

I don't get this Please help asap!?

I don't get this Please help asap!?

Answers

Answer:

Step-by-step explanation:

I think it’s 6

Answer:

it's 6 inches

Step-by-step explanation:

I measured it

Amy received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.17 per pound. After buying the coffee, she had $55.49 left on her card. How many pounds of coffee did she buy?

Answers

Answer:

I think you need more info

Answer:

Pretty sure the answer is 3 pounds you can pretty much repeatedly take away 8.17 from 80 till you get 55.49

80 - 8.17 = 71.83

71.83 - 8.17 = 63.66

63.66 - 8.17 = 55.49

so 3 Pounds since you took 8.17 three times to get 55.49

Proprtaions with tables

Proprtaions with tables

Answers

Answer:

I graphed it, the first one is correct .

Suppose that X is a random variable with mean 20 and standard deviation 4. Also suppose that Y is a random variable with mean 40 and standard deviation 7. Find the mean and the variance of the random variable Z for each of the following cases. Be sure to show your work.
(a) Z = 40 - 5X
(b) Z = 15X - 20
(c) Z = X + Y
(d) Z = X - Y
(e) Z = -2X + 3Y

Answers

(a) The mean of Z in case (a) is -60 and the variance is 400.

(b) The mean of Z in case (b) is 280 and the variance is 3600.

(c) The mean of Z in case (c) is 60 and the variance is 65.

(d) The mean of Z in case (d) is -20 and the variance is 65.

(e) The mean of Z in case (e) is 80 and the variance is 505.

To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.

(a) Z = 40 - 5X

Mean of Z:

E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60

Variance of Z:

Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400

Therefore, the mean of Z in case (a) is -60 and the variance is 400.

(b) Z = 15X - 20

Mean of Z:

E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280

Variance of Z:

Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600

Therefore, the mean of Z in case (b) is 280 and the variance is 3600.

(c) Z = X + Y

Mean of Z:

E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60

Variance of Z:

Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (c) is 60 and the variance is 65.

(d) Z = X - Y

Mean of Z:

E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20

Variance of Z:

Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (d) is -20 and the variance is 65.

(e) Z = -2X + 3Y

Mean of Z:

E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80

Variance of Z:

Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505

Therefore, the mean of Z in case (e) is 80 and the variance is 505.

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What point do all functions of the form fx=bx have in common? A, 1,1 B. 1,0 C. 0,1 D. 0,0.

Answers

Therefore, the common point for all functions of the form fx = bx is (1, 1), which corresponds to option A.

Let's consider functions of the form fx = bx, where b is a constant. When we substitute x = 0 into this function, we get:

f(0) = b * 0 = 0

So, for any value of b, when we evaluate the function at x = 0, the output is always 0. However, the point (0, 0) is not common to all functions of the form fx = bx because the value of b determines the behavior of the function.

To find the common point for all functions of the form fx = bx, we need to find the value of b that satisfies the condition for all cases. If we substitute x = 1 into the function, we have:

f(1) = b * 1 = b

So, for the common point to hold, we need f(1) to be equal to 1. This implies that b = 1.

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10 hours to 6 hours find the percent of change

Answers

Answer:

40% change

Step-by-step explanation:

6/10=40%

What transformation has changed the parent function f(x) = (0.5)x to its new appearance shown in the graph? exponential graph passing through point negative 3, 2 and negative 2, 1 a f(x) − 2 b f(x + 2) c f(x) + 1 d −1 • f(x)

Answers

Correct option is A,  f(x) -2 has changed the parent function f(x) = (0.5)x to its new appearance.

What modification has caused the parent function to change?

The parent function f(x) = log5x has been modified by reflecting it over the x-axis, extending it vertically by a factor of three, and moving it down by three units.

In the picture below you can see the blue line is the graph of the function

f(x) = log(5x) and the green line is the graph of the function

g(x) = log[5(x + 4)] - 2

Since the function f passes at point (2, 1), we must reduce it by 2 units to ensure that it also passes at position (-2, -1). To do this, we add 2 to the function f.

We only need to add 4 to the variable x to have the function go left when we obtain log(5x) - 2.

The function shifts to the left when you add a number to x;

The function moves to the right when you remove a number from x;

The function increases when you add a number to it;

The function decreases when you take a number away from it.

Then we get a function g(x) = log[5 (x + 4)] - 2.

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What transformation has changed the parent function f(x) = (0.5)x to its new appearance shown in the

Do you carpool? Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probability distribution of X is as follows. 1 2 3 4 0.03 P(x) 5 0.10 0.65 0.10 0.12 Send data to Excel Part 1 of 7 (a) Find P (3). P (3) - Part 2 of 7 (b) Find P(less than or equal to 3). P(less than or equal to 3) = Part 3 of 7 (c) Find the probability that a car has only one occupant. The probability that a car has only one occupant is 1. Part 4 of 7 (d) Find the probability that a car has fewer than four occupants. The probability that a car has fewer than four occupants is Submit Assignme Part 4 of 7 (d) Find the probability that a car has fewer than four occupants. The probability that a car has fewer than four occupants is . Part 5 of 7 (e) Compute the mean . Round the answer to two decimal places. The mean . is Part 6 of 7 (1) Compute the standard deviation Round the standard deviation to three decimal places. The standard deviation O., is . Part 7 of 7 (9) To save energy, a goal is set to have the mean number of occupants be at least two per car. Has this goal been met? Since the computed mean number of occupants per car is only , then this goal to have the mean number of occupants to be at least two per car (Choose one) V been met.

Answers

the table's depiction of the probability distribution for X And section an asks us to calculate the likelihood that X equals two. When X = 2, the chance of X = 2 is 0.15, and for B, we need to determine the likelihood of more than 3.

There are only two ways that X might be greater than three: X is equal to four, or X is equal to five, increasing the likelihood that X is greater than three. Therefore, the likelihood of being more than three is equal to the likelihood of being four. Additionally, the likelihood of being five, These probability are.03 and.02, which equals C. We are asked to determine the likelihood that X is equal to one. When X is, the probability that X will be one is.7, and we want to know the likelihood that X will be less than four. The options for X being one, two, or three or fewer than four. Therefore, these have odds of.1,.15, and.7.The chance is 95 percent. Since you were asked to determine the mean for X for discrete random variables like this one, the mean is equal to the total of all possible values of X multiplied by the probability associated with each one. Therefore, that is once. 2 times 7 plus. Three times 15 plus. 1 and onward. And this equals 1.52; to find f, we must determine the discrete random variable X's standard deviation. This formula, which also has this form for the standard deviation, can be used to represent the latter version of the standard deviation, which is the square root of one squared times. 7Thus, that is two times squared. 15 and onward. After completing the square root procedure, we deduct the principal squared, and the result is approximately 2.93–5. The goal of having X equal to at least two has not been achieved for G, as evidenced by the fact that the typical number of occupants for cars is 1.52.

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can someone please help meh with meh math

Answers

there's no math :)

<3 Enjoy,

    Dea

1. The image below represents three planters that are filled with soil. Find the total volume of soil in the three planters. Planter A is 14 inches by 3 inches by 4 inches. Planter B is 9 inches by 3 inches by 3 inches.

1. The image below represents three planters that are filled with soil. Find the total volume of soil

Answers

Answer:

327 inches³

Step-by-step explanation:

Planter A volume = (14 × 3 × 4) inches

= 168 inches³

Planter B volume = (9 × 3 × 3) inches

= 31 inches³

Planter C volume = (3 × 3 × 13) inches

= 78 inches³

Total volume = (168 + 81 + 78) inches

= 327 inches³

Hope this helps and have a nice day

Can you use a right triangle to represent the distance between any two points on the coordinate plane?.

Answers

Yes. A leg of a right triangle can indicate the distance that separates two vertical or horizontal points, and the hypotenuse can represent the distance between two non-vertical or non-horizontal points.

We can use this theorem to calculate the distances between two locations on a coordinate grid. Consider the following example using the points:

( 3, 4 ) and ( − 2, 1 )

We can see how to make a right triangle with the hypotenuse as that of the line connecting these two spots. A right angle is formed at the coordinates ( 3, 1), where the vertical line from ( 3, 4 ) and the horizontal line from ( 2, 1 ) intersect.

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One canned juice drink is 25 percent orange juice another​ is 10 percent orange juice how many literally of each should be mixed together in order to get 15L that is 21 percent orange juice ?

Answers

To find the amounts of each canned juice drink needed to obtain 15L of a 21% orange juice mixture, we can use a mixture equation.

Let's assume we need x liters of the 25% orange juice drink and y liters of the 10% orange juice drink.

To set up the equation, we need to consider the amount of orange juice in each drink. The 25% orange juice drink contains 25% of x liters of orange juice, while the 10% orange juice drink contains 10% of y liters of orange juice.

To find the total amount of orange juice in the mixture, we add the amounts of orange juice from each drink:

0.25x + 0.10y = 0.21 * 15

Simplifying this equation, we have:

0.25x + 0.10y = 3.15

To solve for x and y, we can use substitution or elimination.

Let's use the substitution method. Solve the first equation for x:

x = (3.15 - 0.10y) / 0.25

Substitute this value of x into the second equation:

0.25 * [(3.15 - 0.10y) / 0.25] + 0.10y = 3.15

Simplifying, we get:

3.15 - 0.10y + 0.10y = 3.15

The variable y cancels out, leaving us with:

3.15 = 3.15

This equation is always true, which means that y can take any value.

Therefore, there are infinite combinations of the two juice drinks that can be mixed to obtain 15L of a 21% orange juice mixture. The specific values of x and y will depend on the chosen combination.

For example, if we let y = 0, meaning we use only the 25% orange juice drink, then x would be 15L. On the other hand, if we let x = 0, meaning we use only the 10% orange juice drink, then y would be 15L.

In summary, to obtain 15L of a 21% orange juice mixture, you can mix any amount of the 25% and 10% orange juice drinks as long as the total amounts of orange juice from each drink add up to 3.15L (which is 21% of 15L).

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Solve 2(x+3)=-4(x + 1) for x.

Answers

Answer:

The answer is x = \(\frac{-5}{3}\).

Step-by-step explanation:

First, we expand the brackets. Therefore:

\(2x+6 = -4x+(-4)\)

\(2x+6 = -4x -4\)

Then, we separate the like terms:

\(2x+4x = -4-6\)

Then we add the like terms up and solve for x:

\(6x = -10\)

Therefore:

\(x = \frac{-10}{6}\)

which, simplified, is:

\(x = \frac{-5}{3}\).

a boy has 3 red , 4 yellow and 4 green marbles. in how many ways can the boy arrange the marbles in a line if: a) marbles of the same color are indistinguishable?

Answers

If marbles of the same color are indistinguishable, then we can treat each color as one "block" of marbles. Therefore, we have three blocks - one with 3 red marbles, one with 4 yellow marbles, and one with 4 green marbles.

The number of ways to arrange these blocks in a line is simply the number of ways to rearrange the 3 blocks. This is given by 3! which is equal to 6, Within each block, the marbles of the same color are indistinguishable, so we don't need to worry about arranging them.

Therefore, the total number of ways to arrange the marbles in a line is 6, Since marbles of the same color are indistinguishable, we will use the formula for permutations with indistinguishable items. The formula is:

Total permutations = n! / (n1! * n2! * n3! ... nk!) Using the formula, the number of ways to arrange the marbles in a line is:
Total permutations = 11! / (3! * 4! * 4!) = 39,916,800 / (6 * 24 * 24) = 13,860 So, the boy can arrange the marbles in 13,860 different ways if marbles of the same color are indistinguishable.

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Does anyone know how to do these? I don't understand them at all... :(

Does anyone know how to do these? I don't understand them at all... :(

Answers

Answer:

For the first 2 questions, you need to find the square roots of those numbers. The  second 2 question, you need to do those problems. Remember that absolute value is always positive. Then, plot those numbers on the coordinate plain.

Edit: plane*

Step-by-step explanation:

Problem 3
Solve this system of equations:
y=x-4
y= 6x – 10
Use paper to help you with your thinking.
Submit

Answers

Answer:

y= -2.8

x = 1.2

Explanation:

y has been give so first substitute y into y

y=6x−10 and y=x−4

so x-4 = 6x-10

now get all the like terms on one side

it's best to keep the x as postive for easier methods so move the x to the rights side by subtracting x from the left side.

x-4 = 6x-10

- x

-4 = 6x - 10

now add 10 so x's are on one side and the numbers on the other

+ 10

-4 + 10 = 6x - x

now simplify

-4 + 10 = 6

6x - x = 5x

so

6 = 5x

divide by 5 to get X by itself, the value of x

x = 6/5 = 1.2

now we have the value of x we can substitute it to find the value of y.

y=x−4

x = 1.2

y= 1.2 - 4 =-2.8

y= -2.8

x = 1.2

Jamaal ran 6 miles in 30 minutes. Which expression shows how to correctly determine his speed in miles per minute?
6 miles ÷ 30 minutes
30 minutes ÷ 6 miles
6 miles ÷ 1 minute
30 minutes ÷ 1 mile

Answers

Answer:

The second one. 30 minutes ÷ 6 miles.

Step-by-step explanation:

You want to find how long it took Jamaal to run one mile.

30 minutes ÷ 6 miles = 5 minutes.

So Jamaal can run one mile in 5 minutes.

Option B, 30mins/6miles

A park recreation manager wants to reshape a square sandbox. The new sandbox will have one side 4 feet longer and the adjacent side 5 feet longer than

sandbox will be 38 square feet greater than the area of the original sandbox.

5 ft

What are the dimensions in ft of the original sandbox

Answers

The dimensions of the original sandbox was 2 ft X 2 ft..

Let, The original has a length of Xft and a width of Xft

The area of original sandbox is X^2 ft^2

As per given statement,

The new sandbox would have a length of (X+4)ft and a width of (X+5)ft

So, the area of new sand box would be: (X+4)(X+5) ft^2

Given, the area of new sandbox will be 38 square feet greater than the area of the original sandbox.

so,

X^2+38 = (X+4)(X+5)

or, X^2+38 = X^2 + 9X + 20

Eliminating X^2 from both side

0r, 9X+ 20 = 38

0r, 9X = 18

0r, X = 18/9 = 2

So, we assumes that the original has a length of Xft and a width of Xft

then the dimensions of the original sandbox was 2 ft by 2 ft.

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Pls help asap giving brainliest waited for 5 hours oof

Pls help asap giving brainliest waited for 5 hours oof

Answers

Answer:3rd answer down (top to bottom)

Step-by-step explanation: c=dπ so

c=96π

c=96*3.14=301.4

so 3rd one down is the answer!

Hope this helps!

Answer:

c

Step-by-step explanation:

because its true

Which statement about the function is true? the function is increasing for all real values of x where x < –4. the function is increasing for all real values of x where –6 < x < –2. the function is decreasing for all real values of x where x < –6 and where x > –2. the function is decreasing for all real values of x where x < –4.

Answers

The function is increasing for all real values of x where x < –4.

How does the function behave for different values of x?

The statement that is true about the function is: "The function is decreasing for all real values of x where x < -4."

In order to determine the behavior of the function, we look at the given options. Among the options, the only statement that aligns with the function being decreasing is the one that states the function is decreasing for all real values of x where x < -4.

If a function is decreasing, it means that as the value of x decreases, the value of the function also decreases. In this case, it indicates that as x becomes more negative, the function's values decrease.

Therefore, the statement that correctly describes the behavior of the function is that it is decreasing for all real values of x where x < -4.

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Which of these expressions is equal to 3−8i?

Which of these expressions is equal to 38i?

Answers

Answer:

the second option

Step-by-step explanation:

(5 + i) - (2 + 9i) = 3 — 8i

sixty-eight percent of online courses taught at community colleges nationwide were taught by full-time faculty. to test if 68% also represents california's percent for full-time faculty teaching the online classes, long beach city college (lbcc) in california was randomly selected for comparison. in the same year, 34 of the 44 online courses lbcc offered were taught by full-time faculty. conduct a hypothesis test at the 5% level to determine if 68% represents california. note: for more accurate results, use more california community colleges and this past year's data

Answers

The Confidence Interval for the hypothesis test at the 5% level to determine if 68% represents California is 0.65, 0.90.

First, we need to find H₀ and Hₐ. In this case, we want to check whether California community colleges take 68% of the online classes thought by full-time faculties, or not.

H₀ : p = 0.68; Hₐ : p ≠ 0.68

Second, we need to determine the distribution needed. State what our random variable P’ represents.

Normal: N

Test Statistic : z = 0.1873

Third, we have to calculate he p-value using the normal distribution for proportions.

p-value = 0.1873

If the null hypothesis is true (the proportion is 0.68), thus there is a 0.1873 probability which the estimated proportion is 0.773 or more.

Fourth, we need to compare \(\alpha\) and the p-value, then indicate the correct decision (reject or do not reject the null hypothesis).

\(\alpha\) = 0.05

Decision : Do not reject the null hypothesis

Reason for decision : p-value > 0.05

At the 5% level, the data do not provide statistically significant evidence that the true proportion of online courses taught by full-time faculty is not 68%.

Last, define the confidence interval. The confidence interval is (0.6275, 0.8725) = (0.65, 0.90).

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Find the value of 7 + 3↑2 (-5 + 1) ÷ 2.

Answers

Answer:

-11

Step-by-step explanation:

7 + 3↑2 (-5 + 1) ÷ 2

7 +  3↑2(-4)  ÷ 2

7+9(-4) ÷ 2

7+(-36) ÷ 2

7-18

-11

Answer:

Im not sure what the arrow is for but

7 + 3.2 (-5 + 1) ÷ 2= 8.2

Step-by-step explanation:

7+3.2=10.2

(-5+1)÷2= -2

-2+10.2= 8.2

ANSWER: 8.2

in a recent year, about 22% of americans 14 years and older are single. what is the probability that in a random sample of 190 americans 14 or older, more than 27 are single? round the final answer to at least 4 decimal places and intermediate z-value calculations to 2 decimal places.

Answers

The probability that in a random sample of 190 Americans aged 14 or older, more than 27 are single is approximately 0.9975

To solve this problem, we can use the normal approximation to the binomial distribution.

First, we need to calculate the mean and standard deviation of the number of singles in a sample of 190 Americans aged 14 or older.

Mean

μ = n × p = 190 × 0.22 = 41.8

Standard deviation

σ = sqrt(n ×p × (1 - p)) = sqrt(190 × 0.22 × (1 - 0.22)) = 5.27

Now, we can use the standard normal distribution to calculate the probability that more than 27 people in the sample are single. We convert the binomial distribution to a normal distribution by using the following formula

z = (x - μ) / σ

where x is the number of singles in the sample.

z = (27 - 41.8) / 5.27 = -2.80

Using a standard normal distribution table or calculator, we can find that the probability of getting a z-score of -2.80 or lower is approximately 0.0025.

However, we want to find the probability of getting more than 27 singles, so we need to find the area to the right of z = -2.80. This is equivalent to subtracting the probability of getting a z-score of -2.80 or lower from 1:

P(Z > -2.80) = 1 - 0.0025 = 0.9975

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PLS HELP ASAP! DUE IN 2 HOURS!!!!

If not educationally answered, I will REPORT you.

Solve the given system of equations by using an algebraic method that eliminates one of the variables. (SHOW ALL WORK.) :
Question 5:

2x + 3y = -4
5x + 2y = 1

Question 6:

5c + 7d = 39
6c - 5d = 20

REMEMBER TO SHOW ALL WORK!

Answers

Answer:

I have done it I hope it's the right answer

PLS HELP ASAP! DUE IN 2 HOURS!!!!If not educationally answered, I will REPORT you.Solve the given system
PLS HELP ASAP! DUE IN 2 HOURS!!!!If not educationally answered, I will REPORT you.Solve the given system

A print shop at a community college in Cupertino, California, employs two different contractors to maintain its copying machines. The print shop needs to have 12 IBM, 18 Xerox, and 20 Canon copying machines serviced. Contractor A can repair 2 IBM, 1 Xerox, and 2 Canon machines at a cost of $800 per month, while Contractor B can repair 1 IBM, 3 Xerox, and 2 Canon machines at a cost of $1000 per month. What is the minimum cost to employ the contractors? Round your answer to the nearest whole number. Do not include a dollar sign or comma in your answer.

Answers

The cost to employ the contractors is $11250

The general cost to employ someone is between 1.25 and 1.40 of their real wage. This means the real wage is lower than the cost to employ that person.

Moreover, to determine the cost to employ the contractors, we need to determine their total wage:

Contractor A:  $800 (Includes the repairment of 2 IBM, 1 Xerox, and 2 Canon machines).Contractor B: $1000 (Includes the repairment of 1 IBM,  3 Xerox, and 2 Canon machines.

Total: $1800 to repair 3 IBM, 4 Xerox, and 4 Canon machinesTotal machines to be repaired: 12 IBM, 18 Xerox, 20 Canon machines.

Now, for all the machines to be repaired you will need to pay a total of $9000

$1800 x 5 = $ 9000 (Includes the repairment of 15 IBM, 20 Xerox, and 20 Canon machines, which will cover all the machines you need).

Finally, let's find out the cost using the minimum rate.

$9000 x 1.25 = $11,250

Learn more about general cost in: https://brainly.com/question/3902215

Answer:

$8800

Step-by-step explanation:

Let x be the number of months contract A is employed and let y be the number of months contractor B is employed. Since we are trying to minimize cost, our objective function represents the total cost to employ contractor A and contract B. This function is defined by

C(x,y)=800x+1000y

The first constraint is that the company needs to have 12 IBM copying machines serviced and we know that contractor A can repair 2 IBM copying machines and contractor B can repair 1 IBM copying machines. This translates into the following inequality.

2x+y≥12

The second constraint is that the company needs 18 Xerox copying machines serviced and we know that contractor A can repair 1 Xerox copy machines while contractor B can repair 3 Xerox copy machines. This translates into the following inequality.

x+3y≥18

The third constraint is that the company needs 20 Canon copying machines serviced and we know that contractor A and contractor B can repair 2 Canon copy machines each. This translates into the following inequality.

2x+2y≥20

The fact that x and y must be positive numbers is represented by the following two constraints:

x≥0,y≥0

Using all of this information, our problem is as follows.

Minimize: C(x,y)=800x+1000y

Subject to: 2x+y≥12

x+3y≥18

2x+2y≥20

x≥0

y≥0

The corner points are:

(0,12),(18,0),(2,8),(6,4)

The point (6,4) gives lowest cost: $8800

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