1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dezoksy [38]
3 years ago
13

Please show workings.

Mathematics
1 answer:
Anon25 [30]3 years ago
3 0

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)

You might be interested in
Help please!!
yanalaym [24]

Answer:  (1,-1)

Step-by-step explanation:

Midpoint of BC=(6+4)/2, (3–1)/2. =(5,1)

Slope of BC is (3+1)/4–6)= 4/-2 = -2

Slope of perpendicular bisector of BC =+1/2

Eqn of perpendicular bisector is : Y-1 =1/2 (x-5)

Y=1/2 •(x-5) +1

Midpoint of AB. (6–2)/2, (3–1)/2 ={2,1)

Slope of AB is(3+1)/(-2–6) = 4/-8 =-1/2

Slope of perpendicular bisector = +2

Eqn of perpendicular bisector is Y-1. =2( X-2)

Y=2X-4+1 = 2X -3

Solving Y=(X-5)/2 +1

& Y=2X-3

2X-3 =(x-5/2)+1

2X-4 =(x-5/2)

4X-8 = x-5

3X =3

X=1

Y= 2×1–3= -1

Circumcentre is(1,-1)

8 0
3 years ago
How do I rationalize the denominator
Vladimir [108]
\frac{(4 \sqrt{5} + \sqrt{10})}{(8 \sqrt{5} - \sqrt{10} )} * \frac{(8 \sqrt{5} + \sqrt{10} )}{(8 \sqrt{5} + \sqrt{10} )}
4 0
4 years ago
Find the percentage of the markup. Round to the nearest tenth.<br><br> $33.00 to $45.00
babunello [35]

Answer:

0.7

Step-by-step explanation

Merry Christmas

5 0
3 years ago
Read 2 more answers
Someone please help me on this. Please help me. Please don’t put a link.
Elenna [48]

Given:

The figure of a triangle LMN.

P is the centroid of triangle LMN.

To find:

14. Find the value of PN if QN=30.

15. Find the value of PN if QN=9.

Solution:

We know that the centroid in the intersection of medians of a triangle and centroid divides each median in 2:1.

Since P is the centroid it means NQ is the median from vertex N. It means P divides the median NQ in 2:1. So, PN:PQ=2:1.

14. We have QN=30.

PN=\dfrac{2}{2+1}QN

PN=\dfrac{2}{3}(30)

PN=2(10)

PN=20

Therefore, the value of PN is 20 when QN=30.

15. We have QN=9.

PN=\dfrac{2}{2+1}QN

PN=\dfrac{2}{3}(9)

PN=2(3)

PN=6

Therefore, the value of PN is 6 when QN=9.

4 0
3 years ago
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
anastassius [24]
X = 0
X=- 3 1/3 or x= -3.3
8 0
3 years ago
Other questions:
  • Find the area of 2/5 yd and 3/7 yd
    11·1 answer
  • Find any real solutions for the following equations.<br> sqrt(x) = -1
    9·1 answer
  • How to simplify 40/48
    7·2 answers
  • Sarah paid $40 for an item after she received a 20% discount what is the original price
    13·2 answers
  • What is two decimal that are equivalent to 7.06
    10·2 answers
  • 1/4 to the 4th power
    9·2 answers
  • Pls helppp and thank you
    11·1 answer
  • Solve for x to the nearest 10 th. 65 = 690(0.5)^x/13​
    12·1 answer
  • A cone has a radius of 1.6 meters. The height of the cone is 8 meters. What is its volume?
    6·1 answer
  • Matilda recently took a statistics quiz in her math class. in one question, 45 of 900 visitors at a local craft show were survey
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!