Answer:
Step-by-step explanation:
The equation is given: m/2 - 3n/4 = 16
1) When n = 8: m/2 - 24/4 = 16
m/2 - 6 = 16
∴ m = 2 X 22 = 44
2) When n = 20: m/2 - 60/4 = 16
m/2 - 15 = 16
∴ m = 2 X 31 = 62
3) When n = 32: m/2 - 96/4 = 16
m/2 - 24 = 16
∴ m = 2 X 40 = 80
4) When n = 44: m/2 - 132/4 = 16
m/2 - 33 = 16
∴ m = 2 X 49 = 98
5) When n = 48: m/2 - 144/4 = 16
m/2 - 36 = 16
∴ m = 2 X 52 = 104
The answer to the question is in the picture.
Hello!
For a:
How I would do this, is I would first say if all 46 animals (heads) were chickens, how many legs would there be? Each chicken has 2 legs, so 46 * 2 = 92. The total amount of legs is 96 as stated in the question, so if all of the animals were chickens, the farmer would be 4 legs short.
Now to add rabbits into the equation. Rabbits have 4 legs, and chickens have 2. You want to find the difference between the two, because as you add rabbits to the animals the farmer has, then you have to take away chickens at the same time. 4-2 = 2, so for each rabbit you replace, you add 2 legs.
Since the farmer is 4 legs short with all chickens, then you just divide that 4 by the 2 legs you add by replacing a chicken with a rabbit.
4 / 2 = 2 rabbits
So that means there are 2 rabbits. Since there are 46 heads in total, if 2 are rabbits, that means there are 44 chickens.
So there are 44 chickens and 2 rabbits.
b)
You can follow the same steps: I'm assuming all are child tickets for now:
3.05 * 100 = $305
And now you find how much money short you are.
498.6 - 305 = 193.6
Next, you find the difference in the ticket costs.
5.25 - 3.05 = 2.20
And you divide to find the number of adult tickets.
193.6 / 2.2 = 88
Since 100 tickets were sold, and 88 adult tickets were sold, that means 12 child tickets were sold.
Answer:
4x
Step-by-step explanation:
When multiplying a number by a variable the number is written first and then the variable. It can be represented like this: 4(x). If you simplify that you get 4x.
The figure description helps; Choice A; by showing that a triangle cannot be formed when the sum of the lengths of two sides is less than the length of the third side.
<h3>What is the triangle inequality theorem?</h3>
The triangle inequalities theorem postulates that the sum of lengths of two sides of a triangle must be greater than the length of the third side.
On this note, it follows that the since the sum of sides given in the description 7 and 4 is less than 15, the segments cannot be used to form a triangle.
Read more on triangle inequalities;
brainly.com/question/22559323
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