A foreign-car dealer with warehouses in New York and Baltimore receives orders from dealers in Philadelphia and Trenton. The dealer would to minimize the shipping cost. The dealer in Philadelphia needs 3 cars and the dealer in Trenton needs 8. The New York warehouse has 5 cars and the Baltimore warehouse has 9. The cost of shipping cars from Baltimore to Philadelphia is $120 per car, from Baltimore to Trenton $90 per car, from New York to Philadelphia $100 per car, and from New York to Trenton $70 per car. Let x be the number of cars shipped from Baltimore to Trenton, and y be the number of cars shipped from Baltimore to Philadelphia. 5. Write the six inequalities associated with this problem.

Answers

Answer 1

Answer:

[tex]x \ge 0[/tex]  

[tex]y \ge 0[/tex]

[tex]x + y \le 9[/tex]

[tex]8 - x \ge 0[/tex]

[tex]3 - y \ge 0[/tex]

[tex](8 - x) + (3 - y) \le 6[/tex]

Step-by-step explanation:

Given

x = Cars from Baltimore to Trenton

y = Cars from Baltimore to Philadelphia

Required

Write out 6 inequalities

First, 0 or more cars must be shipped to both locations

So:

[tex]x \ge 0[/tex]

[tex]y \ge 0[/tex]

Considering the warehouse in Baltimore.

(1) The warehouse can not ship more than the number of car it has (9).

So:

[tex]x + y \le 9[/tex]

Considering the warehouse in New York.

(1) After shipping cars to Trenton and Philadelphia, the warehouse will have 0 or more cars.

So:

[tex]8 - x \ge 0[/tex] --- To Trenton

[tex]3 - y \ge 0[/tex] --- To Philadelphia

(2) The warehouse cannot send out more than 6.

So:

[tex](8 - x) + (3 - y) \le 6[/tex]

So, the inequalities are:

[tex]x \ge 0[/tex]

[tex]y \ge 0[/tex]

[tex]x + y \le 9[/tex]

[tex]8 - x \ge 0[/tex]

[tex]3 - y \ge 0[/tex]

[tex](8 - x) + (3 - y) \le 6[/tex]


Related Questions

What is the first and second step to solving
3x+4=34

Answers

move 4 over to the other side, making it negative
3x=34-4
3x=30
divide both sides by 3
x=10

Answer:

X = 10

Step-by-step explanation:

3x+4=34

3x = 34 - 4

3x = 30

X = 30/3

X = 10

A circle has a circumference of 12. It has an arc of length 11.
What is the central angle of the arc, in degrees?

Answers

Answer:

330 degrees

That's the central angle arc

HELP ME PLEASE HERE IS THE IMAGE I NEED THE HELP PLEASE

Answers

Answer: 1:3

Step-by-step explanation:

18 Spanish and 6 French

ratio of French to Spanish is 6:18 reduced to1:3

Question one:
what is the first step to solving x+5=27
And what is the answer using perfect algebra format



Question two:
What is the first step to solve 3w=-4 and what is the answer to the problem

Answers

The first step would be to subtract 5 from both sides. We have to leave x alone so subtract five from both sides which will leave us with x=22

For the next one we would have to divide 3 by -4 to get w=1.3 Infinite so the 3 would have a small dash on top.

When x is 4, y is 6. When x is 10, y is 15.
Which description is part of the same proportional relationship?
O When x is 7, y is 8.5.
When x is 9, y is 11.
When x is 5, y is 10.
o
When x is 3, y is 4.5.

Answers

Answer:

When x is 3, y is 4.5

Step-by-step explanation:

The difference between 4 and 6 is 1.5 and so is 10 and 15,

3 x 1.5 = 4.5

Answer:

I think it is the last one

i might be wrong though

What is the mean of these numbers?4,5,5,2,3,3,2,8

Answers

Answer:

4

Step-by-step explanation:

Mean is the average of the set of the data in which two or more numbers are present. The mean is used to summarized the data set as the calculation of the mean includes all the values given in the data set. The mean value of the given data set is 4.

Given information

The given numbers of the data set are,

4,5,5,2,3,3,2,8

Total numbers are 8.

Mean

Mean is the average of the set of the data in which two or more numbers are present. The mean is used to summarized the data set as the calculation of the mean includes all the values given in the data set.

Mean is the ratio of the sum of all the terms of the set to the the number of terms in the set.

The mean can be calculated with the following formula,

[tex]\overline x=\dfrac{\sum x}{N} [/tex]

Here N is the total number of the values in the set.

Put the values in the above formula,

[tex]\overline x=\dfrac{4+5+5+2+3+3+2+8}{8} \\ \overline x=\dfrac{32}{8}\\ \overline x=4[/tex]

Hence the mean value of the given data set is 4.

Learn more about the mean here;

https://brainly.com/question/12513463

Which inequality is true for x = 2?

A. 6x + 20 < 29
B. 7x - 10 < 11
C. 14x +10 < 37
D. 15x - 18 < 12​

Answers

B . Because it makes the most senses
A.)6•2+20 ≥29
12+20 ≥29
32 ≥29 false

B.) 7•2-10 ≥11
14-10 ≥11
4 ≥11 false

C.) 14•2+10 ≥37
28+10 ≥37
38 ≥37 true

D.) 15•2-18 ≥12
30-18 ≥12
12 ≥12 false 12=12

1.2. The following sum was answered by a gr 8 learner:
5 x 9 + 6
= 75
Is the answer correct? Supply reasons.​

Answers

Answer:

The answer isn't correct because the first operation must be 5 × 9 and then + 6 . The rule is that we must do multiplication first

...................

Which is the better value $5 for4 mangoes or $6 for 5 mangoes

Answers

5$ for 4 mangoes.
hope this helps!!!!

Answer:

Answer would be $6 for 5.

Step-by-step explanation:

I think its the better offer because you could get 5 mangoes for $6. Even tho it is pricey, you get more mangoes. Hope it helps!

What is the equation of the line that passes through the point (-4,-8)(−4,−8) and has a slope of 44?

Answers

Answer:

y = 44x + 184

Step-by-step explanation:

y = mx + b

-8 = 44(-4) +b

-8 = -176 + b

176 + 8 = b

184 = b

The surface area of one cube is twice the surface area of a second cube.
What is the ratio of the lengths of their edges?

Answers

Answer:

8:1  

Step-by-step explanation:

Volume of a cube = Length of edge³

So the equation for the small cube is,

V=L³

If the edge of the bigger cube is twice as long as the smaller cubes edge, then the equation for the bigger cube is:

V = (2L)³

  = (2³)L³

  = (8)L³

Combining these two in ratio form:

(8)L³ : (1)L³

You can remove the L³ from each side because they are equal

So the answer is  8:1

The ratio is square root of 2.

Explain why the denominator 8 in 8/4 is not changed when adding the fractions.

Answers

Answer:Some fractions may look different, but are really the same, for example: It is usually best to show an answer using the simplest fraction ( 1/2 in this case ). That is called Simplifying, or Reducingthe Fraction

Step-by-step explanation:

A bucket has 16 tennis balls and 10 ping pong balls . What is the probability of selecting a ping pong ball , replacing it and then selecting a tennis ball

Answers

Answer:

40/169

Step-by-step explanation:

P(pp,tennis) = [tex]\frac{10}{26}[/tex] × [tex]\frac{16}{26}[/tex] = 40/169 in simplified form

The probability of selecting a ping pong ball, replacing it and then selecting a tennis ball is 40/169.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

Tennis ball = 16

Ping pong balls = 10

So, probability of selecting a ping pong ball, replacing it and then selecting a tennis ball

= 10/ 26 x 16/26

= 40/169

Learn more about Probability here:

https://brainly.com/question/11234923

#SPJ7

(fractions) 8/9 + 3/18

Answers

Answer:

13/18

Step-by-step explanation:

s t u p i d

There are 30 students in a math class.
If 28 were present for class, what
percent are in class?

Answers

Answer:

93%

Step-by-step explanation:

28 divided by 30= 0.93

0.93= 93%

Answer:

100%

Step-by-step explanation:

30 +28=58 this is the total of people in class

58/58× 100=100%

i need help what is the area of this composite figure​

Answers

Answer:

Lol

Step-by-step explanation:

Answer:

104 ft^2

Step-by-step explanation:

I need help on my home work ​

Answers

Answer:

24/9

Step-by-step explanation:

one face is 4/9 is that's what 2/3² is

then multiply that by the number of faces a cube has (6)

and you get 24/9

I need help with this plz respond fast!

Answers

Answer:

It's B

Step-by-step explanation:

It's B because the median is the middle number and Town A is less then Town B

Find the gradient of the line segment between the points (-3,3) and (4,4).
Give your answer in its simplest form.


Answer:

1/7​

Answers

Answer:

2.

Step-by-step explanation:

The gradient or slope of a straight line which is found between two points (x1, y1) and (x2, y2) is given by the formula:

m = (y2 - y1) / (x2 - x1)

Where y2 = 7

y1 = 3

x2 = 4

x1 = 2

=> m = (7 - 3) / (4 - 2)

m = 4 / 2 = 2

The gradient is 2.

What number can you multiply ONE equation by in the following system to obtain a matching
coefficient? (Elimination)
4x+3y=8
2x+5y=12
(Worth 10 points)

Answers

Answer:

Multiply the second equation by 2

Step-by-step explanation:

Given

[tex]4x + 3y = 8[/tex]

[tex]2x + 5y =12[/tex]

Required

Get matching coefficient for elimination

[tex]4x + 3y = 8[/tex]

[tex]2x + 5y =12[/tex]

The coefficient of x in both expressions are factors.

So, we can multiply the second equation by 2 to get the coefficient of x in the first.

i.e.

[tex]2 * (2x + 5y = 12)[/tex]

[tex]4x + 10y = 24[/tex]

So, the system becomes:

[tex]4x + 3y = 8[/tex]

[tex]4x + 10y = 24[/tex]

Now, x can be eliminated

can you help me for real and not give me forbidden content
from other websites they dont help and this website is starting to go downhill with all the virus givers people are quitting because of this so if your one of them people who dont know then dont answer

Answers

Answer:

c

Step-by-step explanation:

A farmer sells 9.9 kilograms of pears and apples at the farmer's market. 3 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

Answers

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answer:

6.4

Step-by-step explanation:

Not a clear question.  Is it 3.5 of this weight or, as it is written, 3 5?  If the first, then the answer is 6.4.  

What do you get if you combine 3x + 18?

A. 3x + 18 cannot be combined because 3x and 18 are not like terms

B. 21x

C.54x

Answers

Answer:

the answer is a

Step-by-step explanation:

Answer:

A. 3x + 18 cannot be combined because 3x and 18 are not like terms

Step-by-step explanation:

this is the simplest terms the expression can be left at since is it not equal to anything

Is (4,3) a solution to the following system?
X-y=4
2x+y=5
(1 Point)
Yes
Οr
No
(Worth 10 points)

Answers

Answer:

No, it is not a solution

Step-by-step explanation:

Given

[tex]x - y = 4[/tex]

[tex]2x + y = 5[/tex]

Required

Is (4,3) a solution?

(4,3) implies that: [tex]x = 4\ y =3[/tex]

So:

[tex]x - y = 4[/tex]

[tex]4 - 3 = 4[/tex]

[tex]1 \ne 4[/tex]

Because 1 and 4 are not equal, then (4,3) is not a solution

I will mark as the brainlest if correct

Answers

Answer:

Answer A

Step-by-step explanation:

What is the measure of angle R?
Enter your answer as a decimal in the
box. Round only your final answer to
the nearest hundredth.

Answers

Answer:

45??? or 30 I'm not very good with angles

PLZ HELP ASAP 30 POINTS (Plz show work)

Choose a trinomial to factor.
3x2 − 15x + 18
10a2 + 5a − 30
4n2 − 10n − 24

Answers

3x2-15x+18
=x-3+6

10a2+5a-30
2a-6

4n2 -10n-24
=2n-5-12

Answer:

x=6 x=-1

a=1.5 a=-2

n=-1.5 n=4

Step-by-step explanation:

(a) (b) (c)

10a2+5a-30

x=-b+-√b2-4ac/2a

a=-5+-√(5)2-4(10)(-30)/2(10)

a=-5+-√25+1200/20

a=-5+-√1225/20

a=-5+√1225/20

a=1.5

a=-5-√1225/20

a=-2

.5% of what number is 15.8?

Answers

Answer:

316 should be your answer

Step-by-step explanation:

Answer:

3160

Step-by-step explanation:

.5% of what number is 15.8?

Let the unknown number be x.

0.5% * x = 15.8

0.005x = 15.8

x = 15.8/0.005

x = 3160

I’ll mark Brainlyist Please Answer!!!

Answers

Answer:

The answer to number 6: 230.4(the unit measurement "cm" "mm" etc)

The answer to number 7: 140.673538 rad

Step-by-step explanation:

For number 6: To find area, it is length times width times height. In this case, the length is 7.2. The width is 8. The height is 4.

So length (7.2) times width (8) times height (4).

7.2 times 8 is 57.6

57.6 times 4 is 230.4

For number 7: To find the area it is length times width times height. In this case, the length is 62°. The width is 13. The height is 10.

So length (62°) times width (13) times height (10).

62° times 13 is 14.0673538 rad

14.0673538 rad times 10 is 140.673538 rad

If f(x) = x + 7 and g(x) = Square root X-3,
what is (fºg)(4)?

Answers

Answer:

Step-by-step explanation:

Answer:

x = [tex]\sqrt{4}[/tex] = ±2

Step-by-step explanation:

[tex]\sqrt{-x+7+x-3}[/tex] = [tex]\sqrt{4}[/tex]

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