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
Digiron [165]
3 years ago
13

ANSWER THIS PLEASE ASAP

Mathematics
1 answer:
Talja [164]3 years ago
6 0

Answer: a.) 72 of each type of animal, for a total of 216

b.) 16 grown cats, 4 kittens

Step-by-step explanation:

part a. It's a distribution (division) problem. The same number of each animal is distributed over some unknown number of troughs, but the total number of troughs adds up to 69. ( I hate to give this all away, as its a brilliant problem! )

Number of troughs for each animal type is How many needed by the number of animals per trough:

h/2 + c/3 + p/8 = 69  

Since we are given "the same number of horses, cows and pigs" we can substitute "x" for all.

\frac{x}{2} + \frac{x}{3} +\frac{x}{8} = 69    Get a common denominator. 24 would work, 48 also.

48(\frac{x}{2} +\frac{x}{3} +\frac{x}{8} ) = 48(69)

24x + 16x + 6x = 3372

46x = 3372    x = 72

Proof:  calculate the number of each kind of trough

Horses 72/2 = 36, Cows 72/3 = 24  Pigs 72/8 = 9    36+24+9 = 69

part b.  5c + 3k = 92,   c + k = 20  Rearrange to get a value for c to substitute.

c = 20-k   5(20-k) +3k =92  Distribute and solve

100 - 5k + 3k = 92 becomes -2k = -8  so  k = 4 Substitute into the original

c + 4 = 20  becomes c=20-4,  so c = 16

Proof: 5c +3k = 92 Substitute values 5(16) + 3(4) = 92  80 + 12 = 92

You might be interested in
Could someone help me pls with this question it is math !
Nana76 [90]

Answer:

B) 275n + 1000 = 2700

Step-by-step explanation:

n is just a placer holder for how many days the Carter family can vacate.

That being said, the question says that they will spend 275 per day, which is per n. You want to multiply 275 by n.

Then the question says it plans to spend $1000 on meals (that's a lot). Instead of substracting, you are going to add for this equation. You want the equation to match; you want both sides to equal 2700 so you can determine how many days you can spend there.

6 0
3 years ago
What is the exact value of tan4pi/3?
MA_775_DIABLO [31]

Answer:

<h2><u>√ 3</u></h2>

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
which equation best represents the line in the graph? help pleaseeee ! right answers only i needa pass
ankoles [38]

Answer:

Using the coordinates (0,-2) and (-1,1) we can form and equation which is y=-3x-2

6 0
3 years ago
Two similar cylinders have a scale factor of 1.6/3. Find the ratio of their volumes.
maksim [4K]
<em>1.6/3 = 16/30 = 8/15 </em>

<em> Volume Ratio: 512:27

∙•❁I hope this helps!❁•∙  </em>
7 0
3 years ago
Read 2 more answers
Simplify 4/6+x/3+3/2
Ronch [10]
4/6=2/3
2/3+x/3+3/2
apply rule a/c+-b/c=(a+-b)/c
(2+x)/3+3/2 is your final answer
remove the parenthesis if you want i was just trying to show 2+x over 3

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of 6 + 2x when x = 5?<br><br> (A) 4<br> (B) 13<br> (C)16<br> (D) 40
    11·1 answer
  • GEOMETRY Please help me!!!!
    13·1 answer
  • There is more than one integer greater than 1 which leaves a reminder of1 when divided by each of the four smallest primes
    5·1 answer
  • 85% of 920 and I would like to know how to do it.
    15·2 answers
  • How many labeled points are between points B and U?<br><br><br><br> four<br> zero<br> two<br> seven
    5·1 answer
  • Which of the following is the solution to |x-13|&lt;18
    11·2 answers
  • 3(12x – 9) + 9 = 2x + 4<br> Would this be infinite solution, one solution or no solution?
    8·1 answer
  • ASAP please it’s very important
    9·1 answer
  • Subtract 7x+4 from 2x-10
    12·2 answers
  • A theatre has 1,450 seats. If 42% of these are balcony seats. How many balcony seats does the theatre have?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!