Answer:
39
Step-by-step explanation:
a circle is sum up to 180 degrees
180- 39- 102= 39
Answer:
The Equation to find the smallest integer =
4x + 6 = 170
The smallest integer = First integer = x = 41
Step-by-step explanation:
Four consecutive integers is represented by:
First Integer = x
Second Integer = x + 1
Third Integer = x + 2
Fourth Integer = x + 3
The sum of four consecutive integers is 170.
x + x + 1 + x + 2 + x + 3 = 170
The Equation to find the smallest integer =
4x + 6 = 170
4x = 170 - 6
4x = 164
x = 164/4
x = 41
Therefore:
The Equation to find the smallest integer =
4x + 6 = 170
The smallest integer = First integer = x = 41
He sold his entire stock for $10000.
Let the number of shirts be x.
Let the number of ties be y.
The shirt is at 3 for $100. Therefore, a shirt would cost $(100/3)
The tie cost $20 each.
Therefore, Multiplying by the number of shirts and ties:
100x / 3 + 20y = 10000 .............(i).
If he had sold half the shirts and two-thirds the ties, the equation becomes:
100/3 * (x/2) + 20 * (2y / 3) = 6000
50x / 3 + 40y / 3 = 6000 ..............(ii)
Multiply equation (ii) by 2.
2*(50x / 3 + 40y / 3 ) = 2* 6000
100x / 3 + 80y / 3 = 12000 .........(iii).
Equation (i) Minus (iii) . Inorder to eliminate x.
100x / 3 - 100x / 3 + 20y - 80y / 3 = 10000 - 12000
-20y / 3 = - 2000.
y = 3 * 2000 / 20
y = 300.
Substituting into equation (i).
100x / 3 + 20y = 10000
100x / 3 + 20*300 = 10000
100x / 3 + 6000 = 10000
100x / 3 = 10000 - 6000
100x / 3 = 4000
x = 4000 * 3 / 100
x = 120.
So he actually sold 120 shirts and 300 ties. Cheers.
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