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
wolverine [178]
3 years ago
5

A farmer has chickens, sheep and horses there are 154 animals and 516 total legs the number of sheep equals twice the number of

chickens how many of each type of animals does he have
Mathematics
1 answer:
Blababa [14]3 years ago
6 0

Answer:

number of chicken = 50

number of sheep = 100

number of horse = 4

Step-by-step explanation:

Let

x = number of chicken

y = number of sheep

z = number of horse

x + y + z = 154 (1)

2x + 4y + 4z = 516 (2)

the number of sheep equals twice the number of chickens

y = 2x

Substitute into the equation

x + y + z = 154

x + 2x + z = 154

3x + z = 154 (3)

2x + 4y + 4z = 516

2x + 4(2x) + 4z = 516

2x + 8x + 4z = 516

10x + 4z = 516 (4)

3x + z = 154 (3)

10x + 4z = 516 (4)

Multiply (3) by 4 to eliminate z

12x + 4z = 616 (5)

10x + 4z = 516 (4)

Subtract (4) from (5)

12x - 10x = 616 - 516

2x = 100

x = 100/2

x = 50

Recall,

y = 2x

y = 2(50)

y = 100

x + y + z = 154

50 + 100 + z = 154

150 + z = 154

z = 154 - 150

z = 4

number of chicken = 50

number of sheep = 100

number of horse = 4

You might be interested in
Hi, want to be my friend?
vivado [14]

Answer:

yeah sure

Step-by-step explanation:

because I'm friendly

7 0
3 years ago
Read 2 more answers
3 2/5x1/2 help find the answer asap
babunello [35]

Answer

1 7/10

Step-by-step explanation:

(3 2/5)(1/2)=17/5=1 7/10



5 0
3 years ago
What is the missing value in x2y8 · x3y? = x5y5?
sweet-ann [11.9K]

Answer:

-3

Step-by-step explanation:

To find:

The value of '?' in the following expression:

x^2y^8.x^3y^? = x^5y^5

Solution:

First of all, let us have a look at a few rules of the exponents:

1.\ a^b.a^c=a^{b+c}

2.\ a^b.a^{-c}=a^{b-c}

Let us apply these rules and try to find out the missing value ('?') in the given expression.

Left Hand Side (LHS):

x^2y^8.x^3y^?\\\Rightarrow x^2.x^3.y^8.y^?\\\Rightarrow x^{2+3}y^{8+?}\\\Rightarrow x^{5}y^{8+?}

Now, let us compare the LHS with RHS, we get:

x^{5}y^{8+?} = x^{5}y^{5}

Dividing with x^5 on both sides:

y^{8+?} = y^5\\\Rightarrow 8+? = 5\\\Rightarrow ? = 5-8 \\\Rightarrow ? =-3

Therefore, the missing value in the expression is <em>-3.</em>

4 0
3 years ago
Sketch he graph of:<br><img src="https://tex.z-dn.net/?f=y%20%3D%202x%20-%204" id="TexFormula1" title="y = 2x - 4" alt="y = 2x -
Andreas93 [3]

Answer:

(Hope this helps can I pls have brainlist (crown) ☺️)

Step-by-step explanation:

In pic

6 0
3 years ago
A school attendance clerk wants to determine if there is a relationship between the number of times a student arrives to school
navik [9.2K]

Answer:

There is no clear relationship between the number of times students arrive late and the distances they live from school.

Step-by-step explanation:

By looking at the graph, there is no clear direction or association that the graph has. Therefore, there is no clear relationship between the variables being compared.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Amy and Alex are making models for their science project. Both the models are in the shape of a square pyramid. The
    14·2 answers
  • A scale model of an office building is 3' x 2' x 5' (length, width, height). If the actual building has a length of 45 feet, wha
    7·1 answer
  • 10 Pts + Brainliest for the best answer
    14·2 answers
  • Make a number line and show all values of x such that x≤1 2/3 and x&lt;− 3/4
    9·1 answer
  • I Need Help Like Now!!
    8·1 answer
  • Which is the measure of AB<br> A. 10ft<br> B. 15ft<br> C. 20ft<br> D. 100ft
    7·1 answer
  • Which ordered pair is a solution to the equation y+1=3(x-4)
    9·1 answer
  • Please help!!
    7·1 answer
  • I will give brainliest and snap to whoever can help me(;´༎ຶٹ༎ຶ`)
    12·1 answer
  • PLEASE HELP!!!!! 1.) Line a passes through points (-2, 1) and (2, 9). Write an equation in slope intercept form that is parallel
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!