Mathematics High School

Please show workings.

To start a transport company, a business man needs at least 5 buses and 10 minibuses .
He is not able to run more than 30 vehicles all together.
A bus takes up 3 units of parking space, a minibus takes up 1 uni of parking space and there are only 54 units available.
If x and y are the number of buses and minibuses respectively.

a. Write down for inequalities which represents the restrictions of the businessman.
b. Draw a gaph that shows a region representing possible values of x and y.
c. Find the greatest number of:
i. buses
ii. minibuses that the business can run​

Answers

Answer 1

9514 1404 393

Answer:

  a) x≥5; y≥10; x+y≤30; 3x+y≤54

  b) see attached

  c) i. 14 buses; ii. 25 minibuses

Step-by-step explanation:

a. The given restrictions are ...

  x ≥ 5 . . . . . . . . . minimum number of buses

  y ≥ 10 . . . . . . . . minimum number of minibuses

  x + y ≤ 30 . . . . .maximum number of vehicles

  3x +y ≤ 54 . . . . maximum number of parking units

__

b. In the attached, we have chosen to make the solution space white. The boundaries are dashed where they are included in the solution space. The vertices of the solution space are marked on the graph.

__

c. The second attachment shows the maximum numbers of each.

i. maximum buses: 14 (and 12 minibuses)

ii. maximum minibuses: 25 (and 5 buses)

Please Show Workings.To Start A Transport Company, A Business Man Needs At Least 5 Buses And 10 Minibuses
Please Show Workings.To Start A Transport Company, A Business Man Needs At Least 5 Buses And 10 Minibuses

Related Questions

PLEASE HELPPP IM DUM ITS EASY MATH

Answers

Answer:

y = 3/2 x + 7

Step-by-step explanation:

Line intercept form =

Y = mx + b

m is the slope (rise over run) and b is the y intercept.

So what you want to first is get y by itself.

9x-6y = -42

-6y = -42 - 9x

y = 9/6 x + 7

y = 3/2 x + 7

Answer:

If you are solving for x, x =

2 /3  y+  (−14/3)

If you are solving for y, y=

3/2x+7

Step-by-step explanation:

A circle has a radius 5cm. Using area = πr² calculate the area of the circle. Give your answer to 2 decimal places

Answers

Answer:

[tex]Solution,\\Radius(r) = 5cm\\Area of circle = \pi r^2 = \pi (5)^2 = 25\pi =78.54cm^2[/tex]

Simplify the expression using properties of operations.

18t−3−5t+8

Answers

Answer:

13t+5

Step-by-step explanation:

Can somebody plz help answer these questions correclty (like what the letter equals) thanks! :3

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD

Answers

The answer would be
12.x=0.8
13.y=2.1
14.z=7.3
15.m=0.6
16.p=0.9
17.n=0.8
18.n=2.5
19.n=0.8
Hope this helps

Have a great day/night

$420 is divided between A, B and C. B receives $20 less than A, and C receives half as much as A and B together. how much does each receive?

Also could you explain the answer?

Answers

Answer:

A = $150

B = $130

C = $140

Step-by-step explanation:

Let the amount received by a be $x

b receives $20 less than a;

we have that;

b = x - 20

c receives half of Sum A and B

c = (x + x-20)/2

c = (2x-20)/2

c = x - 10

Add all and it gives 420

x - 10 + x -20 + x = 420

3x -30 = 420

3x = 420 + 30

3x = 450

x = 450/3

x =$150

a = 150

b = x - 20; 150 - 20 = 130

c = x-10

c = 150-10

c = $140

3y = x -4
5x - 6y = 8
How many solutions does the system have?
O One solution
O No solution
0 Infinitely many solutions

Answers

Answer:

can you pls show more......

Step-by-step explanation:

i think there is one solution

7 is 1/10 of



pls help and thank you :)

Answers

7 is 1/10 of 70. You can figure this out by multiplying 7 by 10

In this hexagon, all the angles are equal. What is the measure of angle x°?

Answers

Answer:

Option - b: 60

Step-by-step explanation:

Sum of exterior angle = 360

Exterior angle = 60

6x = 360

x = 360 / 6 = 60

Which expressions have a variable tat is squared or cubed? Choose ALL that apply.

Answers

Answer: n^3 and a^2

Step-by-step explanation:

Answer:

n^3 and a^2

Step-by-step explanation:

any 1+1 how much tell​

Answers

Answer:

1+1=2

You  have 1 orange and then get 1 other orange. How many oranges do you have now? 2 oranges.

What is the value of X?
14
//
3
21

Answers

Answer:

2

Step-by-step explanation:

3/21=x/14

X=2

Answer is 2

PLEASE HELP ILL MARK BRAINLIEST!

Answers

Answer: A - 1, B - 2, and C - 3.

Step-by-step explanation:

Situations are a, b, and c. Equations are 1, 2, and 3.

could someone please help and fast?

Answers

Answer:

141

Step-by-step explanation:

Answer:

141

Step-by-step explanation:

Find the third angle in the triangle and using the rule that all supplementarly angles are 180 degrees, subtract the third angle from 180.

180-87-54=39, 39 is the third angle of the triangle

180-39=141 degrees, x= 141

how many perfect squares less than 1000 are divisible by 8. Will pick brainliest if possible!!!!!!!!!!!!!

Answers

Answer:

30 (not including 1 because 1 is not BETWEEN 1 and 1000).

Step-by-step explanation:

Find the value of x
Please and thanks for the help

Answers

28
you do 44-16 = 28

What is the value of the expression of 1/2 divided by 6

Answers

Answer:

0.083

Step-by-step explanation:

Answer:

3 is it

Step-by-step explanation:

A car was reduced in price by 13% to £17400 what was original price

Answers

the answer is 19,962 because 13% of 17,400 is 2,262 and add them and you get 19,962

HELP I NEED HELP ASAP

Answers

Answer:

i think its; there  all inequalities

Step-by-step explanation:

1. Given 10 items, how many ways can 5 of the items be arranged?

Answers

Answer:

2

Step-by-step explanation:

2 should be right I think

Please help due now in 10mins please I’m beg you

Answers

Answer:

Step-by-step explanation:

a. f(x)=3x+10

b. $112

3. Are the points on the line part of the solution set or not?
a. Yes, they are part of the solution
b. No, they are not part of the solution
c. Maybe, they are part of the solution
d. None of the above​

Answers

Answer:

a. Yes, they are part of the solution

can someone please help me out with this problem ? i been trying to do this for like 2 days now and i still don’t get it .. also i need some tips on how i can remember this when im doing a different problem

Answers

Answer:

Step-by-step explanation:

the Pythagorean theorem is

c is the hypotenuse which is the side opposite of the right angle

plug the numbers into the Pythagorean theorem

[tex]x^2+(\sqrt{26})^2=13^2[/tex]

when squaring a square root, just take the number in the radical and get rid of the radical

[tex]x^2+26=169[/tex]

subtract 26 from both sides

[tex]x^2=[/tex][tex]143[/tex]

find the square root of 143

143 is prime so it can just be written as

[tex]x=\sqrt{143}[/tex]

A room is 12 feet wide by 35 feet long. How far (in feet) is it from one corner of the room to the opposite corner measuring diagonally?

Answers

Answer:

The Correct Answer is 37 feet long.

Step-by-step explanation:

The Calculator can confirm, if we know that the 2 sides small sides are 12 and 35 we know that the hypotenuse is 37 feet long, therefore your answer is...

37 feet long

Hope I Helps!

The answer is 37 feet long!

please help i am timed

Answers

Answer:

A. (x, y) -> (0.2x, 0.2y)

Step-by-step explanation:

I'll test this out with just point S if that's fine.

Point S's coordinates are (5, -5), as seen on the coordinate plane.

However,  Point S' has coordinates of (1, -1).

Divide 1 by 5 to get 1/5. You can also do -1/-5 to also get 1/5 (Remember, dividing two negatives gets you a positive.).

So you can conclude that the dilation has the x and y coordinates shrinking to 1/5 of the original. Both coordinates shrink at the same rate, so B and C are out. The figure is NOT getting bigger so D is also incorrect. This leaves A ((x, y) -> (0.2x, 0.2y)) as our answer.

Answer:

A

Step-by-step explanation:

ons
5
Find the volume of a caulking gun with a radius of 2 cm, a cone height of 3 cm, and a cylinder height of
20 cm

Answers

I don’t know I’m sorry

What is the best unit of measure for gasoline QUICK whoever gives right answer gets brainliest

Answers

Answer:

The standard cubic foot

                 &

The standard cubic meter

Step-by-step explanation:

In ARST, the measure of T=90°, ST = 7.7 feet, and RS = 9.7 feet. Find the measure
of R to the nearest degree.
9.7
7.7
X
T
R
Answer:
Submit Answer

Answers

Answer: 53

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

Quadrilateral WXYZ has vertices W(–3, 4), X(–3, 1), Y(2, 1), and Z(2, 4). What are the coordinates of the image of point W after a reflection across the y-axis?




A. w-(3, 4)


B. w- ( 3 , - 4 )


C. w- ( - 3 , - 4 )


D. w- ( 4 , - 3 )

Answers

Answer: A

Step-by-step explanation:

When you reflect over the Y axis you do (-x,y)

And so (-3,4) = (3,4)

A bicycle shop is selling $500 bikes at 10% off. If the sales tax is 7%, how much will the bike cost?

Answers

Answer:

The bike will cost $481.50

because

10% off of 500 is 50

so 500 - 50 = 450

Now include the sales tax which is

450 * 0.07 = 31.5

Now add the two totals to get

$481.50

In a fifth-grade class, 3/4 of the students like to go to the movies. Of the students who like to go to the movies, 2/3 of them like action movies. What fraction of the students in the class like to go to action movies

Answers

Answer:

1/2 of the class

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