The answer is: [A]: "yd" .
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Note: Since we are referring to "how much rope is needed to surround the field" ; we are referring to the "perimeter"; or adding up the length of all the sides. So there will be no "squared units" (choice B — which would refer to the "area"; and no "cubic units" (choice C - would would refer to the volume of a 3-dimensional solid (e.g. rectangular prism; since we only have two dimensions {a football field; with only a length and width (no height) } ; and as mentioned; we are referring to the "perimeter"; which is the sum of the lengths of all sides.
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Answer:
do you need to simplify or solve for x?
Step-by-step explanation:
If we think easily
first, an = 2n+11 -----(1)
if n =1 so a1 = 2(1)+11 = 13 -----(2)
so either choice b or c is the correct answer
then we will consider about an from the formula that
an=a1+ ( n-1 )d
from -----(1)
2n+11 = a1 + (n-1)d
from -----(2)
2n+11 = 13 + (n-1)d
2n-2 = (n-1)d
so d = 2n-2 / n-1 = 2(n-1) / (n-1)
so that d=2 -----(3)
from (1) we will know that
a2= 2(2)+11 = 15
and from formula
we will know that
a2=a1+ d
or
an=an-1 + 2 (if n=2)
so the answer of this question is b. a1=13;an=an−1+2 #
When
, you can divide through by it on both sides to get
and this occurs for
.
I'll be honest, this is a pretty interesting question. I've never seen anything like it before!
We can start off by making equations with the given. If there are 100 heads, that means that the total number of chickens and pigs combined is 100. Thus, we can form our first equation:
p + c = 100
('p' represents number of pigs, and 'c' represents number of chickens)
We also know that there are 270 legs total. Since chickens have 2 and pigs have 4, we can make the following equation:
2c + 4p = 270
I suppose the quickest way to solve for this equation is to use the subtraction method. Put the equations on top of each other:
2c + 4p = 270
c + p = 100
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Multiply the bottom equation by -2;
2c + 4p = 270
-2c -2p = 100
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"Add" these two equations together:
2c + 4p = 270
-2c -2p = -200
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2p = 70
Divide both sides by 2:
p = 35
Ah, finally. Now that we know that there are 35 pigs, input this variable into the first equation to find the number of chickens:
c + 35 = 100
Subtract:
c = 65
There are 35 pigs and 65 chickens
-T.B.