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:
- y -5 = -7(x +3)
- y = 7
Step-by-step explanation:
The point-slope form of the equation can be used for this. It is generally written as ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
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1. For m=-7, (h, k) = (-3, 5), the equation is ...
y -5 = -7(x +3)
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2. For m=0, (h, k) = (4, 7), the equation is ...
y -7 = 0(x -4)
y = 7
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<em>Comment on the form of the answer</em>
Since a point and slope are given, "<em>the</em> equation" is appropriately written in point-slope form. For the second problem the simplified version would be ...
y -7 = 0
Sometimes, "<em>the</em> equation" means the answer is expected in slope-intercept form. In that case, a little rearranging is necessary for the first answer. It becomes ...
y = -7x -16
There are perhaps a dozen different forms that a linear equation can be written in. Considering those, "the equation" is somewhat ambiguous. Your curriculum materials may offer a clue as to the form intended.
Answer:
The eight people to march in a sportsmanship parade.
Step-by-step explanation:
Changing the subject of the formula
