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
AnnZ [28]
3 years ago
9

Three Texas drovers met on a highway and began to dicker as follows:

Mathematics
1 answer:
Alik [6]3 years ago
5 0

Answer:

  • Jim's: 7
  • Duke's: 21
  • Hank's: 11

Step-by-step explanation:

Let J, D, and H represent the drove sizes of Jim, Duke, and Hank.

  2(H -6 + 1) = (J +6 -1) . . . . . Hank's offer

  3(D -14 +1) = (H +14 -1) . . . . Duke's offer

  6(J -4 +1) = (D +4 -1) . . . . . . Jim's offer

These equations can be simplified to ...

  2H - J = 15

  3D - H = 52

  6J - D = 21

__

<u>Solution</u>

Adding twice the second equation to the first gives ...

  2(3D -H) +(2H -J) = 2(52) +(15)

  6D -J = 119

Adding 6 times the third equation to this one gives ...

  6(6J -D) +(6D -J) = 6(21) +(119)

  35J = 245

  J = 7

Using this value in the third equation gives ...

  6(7) -D = 21

  42 -21 = D = 21

Using the value of J in the first equation gives ...

  2H -7 = 15

  H = (15 +7)/2 = 11

Then the solution is (J, D, H) = (7, 21, 11).

Jim's drove had 7 animals; Duke's drove had 21 animals; Hank's drove had 11 animals.

You might be interested in
Find the surface area of a right square pyramid with base edge length<br> 2 feet and height 5 feet.
zhenek [66]

Answer:

24.4 sq. ft.

Step-by-step explanation:

Area of a right square pyramid is:

A = a^2 + 2(a)*square root of ((a^2/4) + b^2)

A = 4 + 4 (square root of ((4/4) + 25) = 4 + 4* square root of 26

A = 4 + 4*5.099

A = 4 + 20.396

A = 24.396 sq ft.

7 0
2 years ago
Find the total surface area of this triangular prism.<br> 30 cm<br> 18 cm<br> 7 cm<br> 24 cm
Effectus [21]

Answer:

<em>588 cm²</em>

Step-by-step explanation:

<em>24 × 7 + 30 × 7 + 2(24 × 18) + 18 × 7</em> = 7(24 + 30 + 18) + 2 × 42 = 7 × 72 + 84 = 504 + 84 = <em>588 cm²</em>

4 0
3 years ago
Helpppp this very confusing
alukav5142 [94]
What is it
I don't get it done
3 0
3 years ago
When lines coincide how many solutions does each system have?
Pani-rosa [81]
I believe It is A. infinitely solutions
7 0
3 years ago
Read 2 more answers
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed
Blizzard [7]

Answer: 2,435

Step-by-step explanation:

trust

3 0
3 years ago
Other questions:
  • I need help fast what is twice the cube of a number in number form???
    15·1 answer
  • Convert to the given unit.
    5·2 answers
  • the table shows the number of vehicles wash at a carwash fundraiser over the weekend so there was a total of 94 Vehicles how man
    12·1 answer
  • You are certain to get 2 Kings when selecting 50 cards from a shuffled deck. express the indicated degree of likelihood as a pro
    10·1 answer
  • Convert the following number to percent 5/14 exact ,no decimals. Use a mixed number if needed.
    6·1 answer
  • Having trouble with this problem
    13·1 answer
  • Math question need help
    15·1 answer
  • An online furniture store sells chairs for $50 each and tables for
    14·2 answers
  • Please help! DUE RIGHT NOW
    12·1 answer
  • What is the solution to the system y=4x+3 y=-1/4x+3
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!