Answer:
1)x=2. 2)x=5/2
Step-by-step explanation:
Steps in pic below
Answer:
The is answer is 120sq. ft.
Step-by-step explanation:
To find the area mulitply 10 by 12 and you get 120.
Answer:
Step-by-step explanation:
either cow or pigs
Either pigs or cow = 40
(1) Let number of pigs be x
then number of cows >twice of pigs = 2x
number of pigs + number of cows = 40
number of cows = 40 -x
40-x > 2x
40 > 3x
x < 
x < 12.33
nearest integral number is 12
so its 12
so number of pigs will be 12 so that number of cows = 40 -12 = 28
which is more than twice of number of pigs
28 > 2( 12) = 24
(2) number of pigs + number of cows = 40
for x>12
number of cows = 40 -x
x > 12
-x < -12
adding 40 both sides
40-x < 40-12
number of cows <28
Here, we are required to find the first term of an arithmetic progression which has a second term of 96 and a fourth term of 54.
- The first term of the progression which has a <em>second term</em> of 96 and a <em>fourth term</em> of 54 is; a = 117.
<em>In Arithmetic progression, the N(th) term of the progression is given by the formular;</em>
T(n) = a + (n-1)d
where;
Therefore, from the question above;
- T(2nd) = a + d = 96..............eqn(1)
- and T(4th) = a + 3d = 54..........eqn(2)
By solving the system of equations simultaneously;
we subtract eqn. 2 from 1, then we have;
<em>-2d = 42</em>
Therefore, d = -21.
However, the question requests that we find the first term of the progression; From eqn. (1);
a + d = 96
Therefore,
Ultimately, the first term of the progression is therefore; a = 117
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