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nlexa [21]
2 years ago
12

Farmer Ben has only ducks and cows. He can’t remember how many of each he has, but he doesn’t need to remember because he knows

he has 22 animals and 22 is also his age. He also knows that the animals have a total of 56 legs, because 56 is also his father’s age.
Question: Assuming that each animal has all legs intact and no more, how many of each animal does Farmer Ben have?
Your Diagram:




Process: Describe what you did in attempting to solve this problem. Write about such things as:
how you got started
where you got stuck, and how you got unstuck
how you knew when to stop
efforts that didn’t work out or that seemed like a waste of time

Explanation:
Mathematics
1 answer:
Maru [420]2 years ago
6 0

Answer:

12 cows - 48 legs

4 ducks- 8 legs

- there are many different numbers you can do but if you want to change the numbers and have more ducks then: for every one cow you take away two more ducks.

Step-by-step explanation:

22 total animals

56 total legs

ducks have 2 legs

cows have 4 legs

12 times 4 = 48 ( 12 cows with 4 legs each cow =  48 legs)

4 times 2 = 8 ( 4 ducks with 2 legs each duck = 8 legs)

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3 years ago
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How many eighth graders chose History as their favorite subject. Round answer to the nearest whole number.
Elenna [48]

The percentage of eighth-graders that chose History as their favorite subject is 19%

<h3>Percentages and proportion</h3>

From the given table, we have the following parameters

Total students in the 8th grade = 124 students

Total number of 8th graders that chose history = 11 + 12

Total number of 8th graders that chose history = 23

Required percentage = 23/124 * 100

Required percentage = 19%

Hence the percentage of eighth-graders that chose History as their favorite subject is 19%

Learn more on percentages here: brainly.com/question/24304697

4 0
2 years ago
Factor the following quadratic equation; <br><img src="https://tex.z-dn.net/?f=12%20%7Bx%7D%5E%7B2%7D%20%20%2B%2022x%20-%2014" i
Bogdan [553]

Answer:

2(3x + 7)(2x - 1)

Step-by-step explanation:

You can see it a little easier if you take out a common factor of 2

2(6x^2 + 11x - 7)

The 6 leaves you with a lot of factors, the 7 does not. It only has 2 factors.

Let 6 factor into 2 and 3 and the 7 into 7 and 1

2(3x - 1 )(2x + 7)

Now remove the brackets.

2(6x^2 + 21x - 2x - 7) This obviously does not work but we'll combine like terms anyway.

2(6x^2 + 19x - 7)

So we'll try it again

2(3x + 7)(2x - 1)

2(6x^2 + 14x - 3x - 7)    Looks like we have it.

2(6x^2 + 11x - 7)

So the right factors are

2(3x + 7)(2x - 1)

5 0
3 years ago
If a ball rotates through 110 degrees in 8 seconds, how many rotations does it make in 32 seconds
Vedmedyk [2.9K]
Hello there!

If:

110....> 8 seconds
x........32 seconds

Cross multiply

8 * x = 32 * 110

8x = 3520

x = 3520/8

x= 440

It makes 440 rotations in 32 seconds


I hope this helps!
3 0
3 years ago
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2 |n + 10|= -2<br><br> solve the equation
MissTica
2n + 20 = -2

20 + 2 = -2n

22 = -2n

22/2 = n

11 = n
3 0
3 years ago
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