Answer:
A (a = 1)
Step-by-step explanation:
A coordinate point is always in the form (x,y) that means the first point is always x-coordinate and the second point is always y-coordinate.
The equation given is:
5x + y = 8
The point is (a,3), so that means x = a and y = 3
We substitute the values into the equation and find a. Shown below:
5x + y = 8
5(a) + (3) = 8
5a + 3 = 8
5a = 8 - 3
5a = 5
a = 5/5
a = 1
Answer choice A is right
Answer:
The area will be increased by 72 feet.
Step-by-step explanation:
4 x 6 = 24
Now we have to double those lengths.
We know that 4 x 2 is 8 and 6 x 2 is 12.
So the new equation would be: 8 x 12 = 96
Now we take the original area and subtract it by the new area.
96 - 24 = 72
Hope this helps:)
Answer:
c
Step-by-step explanation:
only 2 students were asked the question, 2 students don't represent the whole population
There are 120 ways in which 5 riders and 5 horses can be arranged.
We have,
5 riders and 5 horses,
Now,
We know that,
Now,
Using the arrangement formula of Permutation,
i.e.
The total number of ways 
,
So,
For n = 5,
And,
r = 5
As we have,
n = r,
So,
Now,
Using the above-mentioned formula of arrangement,
i.e.
The total number of ways ,
Now,
Substituting values,
We get,
We get,
The total number of ways of arrangement = 5! = 5 × 4 × 3 × 2 × 1 = 120,
So,
There are 120 ways to arrange horses for riders.
Hence we can say that there are 120 ways in which 5 riders and 5 horses can be arranged.
Learn more about arrangements here
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