The fraction form of 65% is 13 / 20
A fraction is a part of a whole number, and a way to split up a number into equal parts. It is written as the number of equal parts being counted, called the numerator, over the number of parts in the whole, called the denominator.
Given that, convert 65% percent into a fraction in the simplest form,
We know that,
a percentage is a number or ratio that can be expressed as a fraction of 100.
To change a percent to a fraction, put the percentage over 100 (after removing the % sign) and simplify if necessary.
65% = 65 / 100 = 13 / 20
Hence, the fraction form of 65% is 13 / 20
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5x - 2y = 32
The solution is x = 2 and y = -11
Solution:
Given system of equations are:
x + y = -9 --------- eqn 1
5x - 2y = 32 ------------- eqn 2
We have to solve the system of equations
We can solve the system by substitution method
From eqn 1,
x + y = -9
Isolate "y" to one side
y = -9 - x ---------- eqn 3
Substitute eqn 3 in eqn 2
5x -2(-9 - x) = 32
5x + 18 + 2x = 32
Combine the like terms
7x = 32 - 18
7x = 14
x = 2
Substitute x = 2 in eqn 3
y = - 9 - 2
y = -11
Thus the solution is x = 2 and y = -11
4 units
B.
C.
2 units
3 units
D.
5 units
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Option C: 3 units is the length of DA
Explanation:
The coordinates of a polygon ABCD are
We need to find the length of DA
The length of DA can be determined using the distance formula,
Let us substitute the coordinates and in the distance formula, we get,
Subtracting the terms within the bracket, we have,
Squaring the terms, we get,
Adding the terms, we have,
Thus, the length of DA is 3 units.
Hence, Option C is the correct answer.