Using the properties of percentages we can calculate that there are 200 kids in the archery camp that summer.
Long before the decimal numeral system, Ancient Rome routinely computed in fractions as multiples of 1/100.
A percentage is a dimensionless (pure) number; it has no unit of measurement.
The % value is determined by multiplying the numerical value of the ratio by 100. To calculate 50 apples as a percentage of 1250 apples, first compute 50/1250 = 0.04, then multiply by 100 to get 4%.
Let the total number of kids in the camp be x.
The number of kids who took archery = 25%
But 50 students took archery.
hence 25% of x = 50
Solving we infer:
x = 200
Therefore there are 200 kids in the camp.
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A cone with the same radius and height as a cylinder will have one-third the volume of the cylinder.
Vcone = (1/3)*π*r^2*h
Vcylinder = π*r^2*h
Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles.
<u>Step-by-step explanation:</u>
As given by the statement in the problem,
Q may be the middle point, which cut the diagonal PA into 2 equal halves.
In rhombus, diagonals meet at right angles.
which means that PQ = QA
x+2 = 3x - 14
Grouping the terms, we will get,
3x -x = 14+ 2
2x = 16
dividing by 2 on both sides, we will get,
x = 16/2 = 8
8+2 = 3(8) - 14 = 10 = PQ or QA
Answer:
(2,7) is not a solution to the given system of equations.
Step-by-step explanation:
Given system of equation is:
2x + 3 = y
2x + y = 15
To check whether (2,7) is solution to this system or not, we will put x=2 and y=7 in both equations.
Putting x=2 and y=7 in Eqn 1
2(2) + 3 = 7
4 + 3 = 7
7 = 7
Thus the ordered pair satisfies the equation
Putting x=2 and y=7 in Eqn 2
2(2) + 7 = 15
4 + 7 = 15
11 ≠ 15
The ordered pair do not satisfy the second equation.
Hence,
(2,7) is not a solution to the given system of equations.
