A business student at Nowledge College must complete a total of 65 courses to graduate. The number of busi-ness courses must be greater than or equal to 23. The number of nonbusiness courses must be greater than or equal to 20. The average business course requires a textbook costing $60 and 120 hours of study. Non-business courses require a textbook costing $24 and 200 hours of study. The student has $3,000 to spend on books.

Answers

Answer 1

Answer:

Based on the constraints and objective function that apply to the business student at Nowledge College, the set of linear equations are:

60x + 24y ≤ 3,000
x + y ≥ 65
x ≥ 23
y ≥ 20

What set of linear equations describe the constraints?

Assume the number of business courses to be x and the number of nonbusiness courses to be y.

The total cost of both need to be less than $3,000 so the inequality is:

60x + 24y ≤ 3,000.

Both courses need to be at least 65 if the student wants to graduate so:

x + y ≥ 65

Business courses should be equal to or more than 23 and nonbusiness courses should be greater than or equal to 20 so:

x ≥ 23

y ≥ 20

Find out more on linear equations at brainly.com/question/12788590.

Answer 2

Answer:

Step-by-step explanation:

Related Questions

Consider the diagram and the proof below.Given: In △ABC, AD ⊥ BCProve: StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFractionTriangle A B C is shown. A perpendicular bisector is drawn from point A to point D on side C B forming a right angle. The length of A D is h, the length of C B is a, the length of C A is b, and the length of A B is c.A 2-column table has 7 rows. The first column is labeled Statement with entries In triangle A B C line segment A D is perpendicular to line segment B C, In triangle A D B sine (uppercase B) = StartFraction h Over c EndFraction, c sine (uppercase B) = h, In triangle A C D, sine (uppercase C) = StartFraction h Over b EndFraction, b sine (uppercase C) = h, question mark, StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction. The second column is labeled Reason with entries given, definition of sine, multiplication property of equality, definition of sine, multiplication property of equality, substitution, and division property of equality.What is the missing statement in Step 6?b = cStartFraction h Over b EndFraction = StartFraction h Over c EndFractioncsin(B) = bsin(C)bsin(B) = csin(C)
Does anyone know the answer???
Manuel ate 1 and 3 of a crackers on a plate. his brother ate 1 and 4 of the crackers.there where 5 crackers left on the plate.how many crackers were on the plate to begin with?
In a chemical plant, 24 holding tanks are used for final product storage. Four tanks are selected at random and without replacement. Suppose that six of the tanks contain material in which the viscosity exceeds the customer requirements. a. What is the probability that exactly one tank in the sample contains high-viscosity material? b. What is the probability that at least one tank in the sample contains high-viscosity material? c. In addition to the six tanks with high viscosity levels, four different tanks contain material with high impurities. What is the probability that exactly one tank in the sample contains high-viscosity material and exactly one tank in the sample contains material with high impurities?
What is a variable term in mathematics?

Fortune is distributed as follows : the 1st $5 million to the dog,1/2 the remainder to the teacher,$50 million to hospital,of the remaining 50% to wife,40% to daughter,9% to lawyer,1% to son... son is getting $10,000-How much was the fortune?
- who gets the most money and how much?
-

Answers

Answer:

Step-by-step explanation:

Working backward, $10,000 is 1% of $1,000,000, so that is the amount of the "remaining."

Apparently that is what is left of 1/2 the "remainder" after $50 million goes to the hospital. So 1/2 the "remainder" is $51M, which is also the amount the teacher gets. Those came out of a total of 2×$51M = $102M, which is the amount after the dog's $5M share.

The fortune was $107 million. The shares were ...

dog: $5 M
teacher: $51 M (the most money)
hospital: $50 M
wife: $500,000
daughter: $400,000
lawyer: $90,000
son: $10,000

Find the arc length of the curve below on the given interval. y equals one third (x squared plus 2 )Superscript 3 divided by 2y= 1 3x2+23/2 on [00,66]

Answers

Answer

$\int_(0)^(6)√(1+12x^4+8x^2)dx$

Step-by-step explanation:

We are given that

$y=(1)/(3)(3x^2+2)^{(3)/(2)}$

Interval=[0,6]

a=0 and b=6

Differentiate w.r. t x

$(dy)/(dx)=(1)/(3)(3x^2+2)^{(1)/(2)}* 6x=2x(3x^2+2)^{(1)/(2)}$

By using the formula ; $(dx^n)/(dx)=nx^(n-1)$

We know that arc length of curve

$s=\int_(a)^(b)\sqrt{1+((dy)/(dx))^2}dx$

Substitute the values

$s=\int_(0)^(6)\sqrt{1+(2x(3x^2+2)^{(1)/(2)})^2}dx$

$s=\int_(0)^(6)√(1+4x^2(3x^2+2))dx$

$s=\int_(0)^(6)√(1+12x^4+8x^2)dx$

Length of curve,= $s=\int_(0)^(6)√(1+12x^4+8x^2)dx$

Mark has a batting average of 0.21 what is the probability he has at least 5 hits his next 7 at bats

Answers

Chi jug chuche. Cucú. It’s

On a map, 2.5 inches represents 300 miles. How many miles are represented by 6 inches?А .05 miles
00
.40 miles
С
600 miles
D
720 miles

Answers

A map of 720 miles represented by 6 inches.

It is given that 2.5 inches represent 300 miles.

It is required to find the miles represented by 6 inches.

How many miles are represented by 6 inches?

First we have to find how many miles we get in one inch. Then we find in how many miles does 6 inches have.

In 2.5 inches, the map represents 300 miles.

In 1 inch, a map represents 300/2.5miles which are equal to 120 miles.

So, in 6 inches, a map represents (120×6) miles which are equal to 720 miles.

Thus in 6 inches, a map represents (120×6)miles which are equal to 720 miles.

Learn more about inches and miles it here:

brainly.com/question/19408340

#SPJ2

Answer:

D. 720 miles

Step-by-step explanation:

First, we know that 2.5 inches represents 300 miles. This means that we have to find out how much 1 inch represents in miles. So, we take 300/2.5. This results in 120. So, 1 inch represents 120 miles. Then, we take 6*120 which gets us 720 miles.

Find the distance between two points A (-2,-3) B (6,8)

Answers

Answer:

√185 units.

Step-by-step explanation:

To find the distance between two points, A (-2, -3) and B (6, 8), you can use the distance formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

In this formula:

(x₁, y₁) represents the coordinates of point A (-2, -3).

(x₂, y₂) represents the coordinates of point B (6, 8).

Now, plug the values into the formula:

Distance = √[(6 - (-2))² + (8 - (-3))²]

Distance = √[(6 + 2)² + (8 + 3)²]

Distance = √[(8)² + (11)²]

Distance = √[64 + 121]

Distance = √185

So, the distance between points A (-2, -3) and B (6, 8) is √185 units.

Collect like terms
−
8
d
2
−
3
d
2

Answers

Answer:

8,2,2,3

d,d,

HOPE THIS HELPS

Answer:

5d²

Step-by-step explanation:

Given

8d² - 3d² ← collect like terms by subtracting the coefficients, that is

(8 - 3)d²

= 5d²

Other Questions

Fourth term of sequence is 216, sixth term 96

Write an algebraic expression to represent the phrase below.a number n decreased by 5 please help

Find the average speed. A= d\t11) 360 miles in 6 hours

Given DA = 14, A F = 21, KE = x, and EF = 15. What must the value of x be in order to prove AE || KD?