Answer:
Option B, 39.62%
Step-by-step explanation:
We have to find 84 is what percent of 212.
For this we will put 84 in the numerator and 212 in the denominator to find the fraction first.
Then we will multiply this fraction by 100 to get the percentage.
Fraction of 84 to 212 =
=
Now the percentage will be
= 39.62%
Option B, 39.62% is the correct answer.
The value of percentage 84 is of 212 is 39.62%, the correct option is B.
We are given that;
Percentage= 84%
Number= 212
Now,
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
To find the percentage, we need to divide 84 by 212 and then multiply by 100.
By solving
84 / 212 = 0.3962
0.3962 x 100 = 39.62
Therefore, by percentage the answer will be 39.62%.
Learn more about percent here:
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Rework this problem: Write an equation using ???? as the length (in meters) of the rectangle that would lead to the solution of the problem. Check that the answer above is correct by substituting 18 for ???? in your equation.
Answer:
L = B + 3 ..................(1)
L × B = 270 m² .................(2)
on solving we get
L = 18 m, B = 15 m
Step-by-step explanation:
Let the length of the rectangle be L
and,
Width of the rectangle be 'B'
thus,
according to the question
L = B + 3 ..................(1)
And, area of the rectangle = 270 m²
also,
Area of the rectangle = L × B = 270 m² ...........(2)
on substituting 'L' from equation 1 in equation 2, we get
( B + 3 ) × B = 270
or
B² + 3B - 270 = 0
or
B² + 18B - 15B - 270 = 0
or
B( B + 18 ) - 15(B + 18) = 0
or
( B - 15 ) × ( B + 18 ) = 0
thus, we get
B = 15 m (accepted ) and B = -18 m (neglected : since the length cannot be negative)
therefore,
From 1, we get
L = 15 + 3 = 18 m
Solve using the quadratic formula
Answer:
Option A is the correct answer.
Step-by-step explanation:
Line is passing through the point and its slope is - 3.
Equation of line in slope point form is given as:
Answer: A
Step-by-step explanation:
Point-slope form is the following: y - y1 = m(x - x1). So all that is needed is to substitute y1 for -6, x1 for 2, and -3 for m(the slope).
y - y1 = m(x - x1)
y - (-6) = -3(x - (2))
y + 6 = -3(x - 2)