It is given in the question that the stands of the soccer field has the capacity to hold 40 people. Also it is given that the stands of the soccer field is 3/4 filled.
Then,
The number of people in the stands = 40 * (3/4)
= 30
So 30 people are in the stands of the soccer field.
Now among the people present in the stands of the soccer field, 5/6 are home fans and the rest are fans of the away team.
Then,
Number of home team fans = 30 * (5/6)
= 25
So there are 25 home team fans present in the stand of the soccer field.
Answer:
5 cm
Step-by-step explanation:
Since 1 inch is 2.5 cm, you'll haft to double that. Making the answer 5 cm.
If x is a real number such that x3 + 4x = 0 then x is 0”.Let q: x is a real number such that x3 + 4x = 0 r: x is 0.i To show that statement p is true we assume that q is true and then show that r is true.Therefore let statement q be true.∴ x2 + 4x = 0 x x2 + 4 = 0⇒ x = 0 or x2+ 4 = 0However since x is real it is 0.Thus statement r is true.Therefore the given statement is true.ii To show statement p to be true by contradiction we assume that p is not true.Let x be a real number such that x3 + 4x = 0 and let x is not 0.Therefore x3 + 4x = 0 x x2+ 4 = 0 x = 0 or x2 + 4 = 0 x = 0 orx2 = – 4However x is real. Therefore x = 0 which is a contradiction since we have assumed that x is not 0.Thus the given statement p is true.iii To prove statement p to be true by contrapositive method we assume that r is false and prove that q must be false.Here r is false implies that it is required to consider the negation of statement r.This obtains the following statement.∼r: x is not 0.It can be seen that x2 + 4 will always be positive.x ≠ 0 implies that the product of any positive real number with x is not zero.Let us consider the product of x with x2 + 4.∴ x x2 + 4 ≠ 0⇒ x3 + 4x ≠ 0This shows that statement q is not true.Thus it has been proved that∼r ⇒∼qTherefore the given statement p is true.
Rewrite the decimal number as a fraction with 1 in the denominator
0.225=0.22510.225=0.2251
Multiplying by 1 to eliminate 3 decimal places, we multiply top and bottom by 103 = 1000
0.2251×10001000=2251000
Answer:
1 1/2%
Step-by-step explanation:
1 square is shaded and half the other square is shaded