Answers
Answer:
C. The classmate was supposed to multiply the exponents.
Step-by-step explanation:
[tex] { ({2}^{3}) }^{2} = {2}^{6} = 64[/tex]
Answer:
C
Step-by-step explanation:
your classmate multiplied the exponenets
Related Questions
If m ∠ F D E = ( 3 x − 15 ) ° and m ∠ F D B = ( 5 x + 59 ) ° , find the value of x such that ∠ F D E and ∠ F D B are supplementary.
Answers
Answer:
x = 17====================
Supplementary angles sum to 180°.
Givenm∠FDE = (3x - 15)° and m∠FDB = (5x + 59)°,∠FDE and ∠FDB are supplementarySet equation and solve for x3x - 15 + 5x + 59 = 1808x + 44 = 1808x = 180 - 448x = 136x = 136/8x = 17
Find the sum of each infinite geometric series. 1- 1/2 + 1/4- . . . .
Answers
The sum of the infinite geometric series 6+5+ 25/6 + . . is S = 36
The given geometric series is:
1 - 1/2 + 1/4 - . . ..
The common ratio (r) of a geometric series is given by:
r = a(n) / a(n - 1)
Notice that in the given series:
a(1) = 1
a(2) = -1/2
a(3) = 1/4
Hence, the common ratio is
r = a(2) / a(1) = -1/2
Since 0 < | r | < 1, the series is convergent and the sum exists.
Use the sum formula:
S = a(1) / (1 - r)
Substitute a(1) = 1 and r = -1/2 into the formula:
S = 1 / (1 - (-1/2))
= 1 / (3/2)
= 2/3
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Look at the photo and answer the question
(first person to answer correctly gets brainlyest)
Answers
Question B: The decimal form of 3/11 would be approximately 0.2727. If this keeps going, a 3 will eventually be arrived at.
A hotel charges $80 for a basic room for one person per night. It charges $15 for each additional person per night. The Smith family takes three rooms for three nights. The bill comes to $1035.
How many people are in the Smith family?
Answers
Hence, the number of people are in the Smith family is [tex]23[/tex].
What is the division?
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers.
Here given that,
A hotel charges $[tex]80[/tex] for a basic room for one person per night. It charges $[tex]15[/tex] for each additional person per night. The Smith family takes three rooms for three nights. The bill comes to $[tex]1035[/tex].
So,
Rent for the one day is
[tex]\frac{1035}{3}=345[/tex]
Number of people are in the Smith family is
[tex]\frac{345}{15}=23[/tex]
Hence, the number of people are in the Smith family is [tex]23[/tex].
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Use summation notation to write each arithmetic series for the specified number of terms. Then evaluate the sum. 6+7.4+8.8+ . . . ; n=11
Answers
The summation notion of given series is ∑6+1.4n , here n starts from 0 and the sum of given arithmetic series is 143.
The given arithmetic series is 6+7.4+8.8+ . . .
The summation notion of given series is ∑6+1.4n , here n starts from 0.
The sum of arithmetic series can be written as,
[tex]S_{n}[/tex] = [tex](n(a_{1} + a_{n}))/2[/tex]
n is the number of terms, [tex]a_{1}[/tex] is the first term and [tex]a_{n}[/tex] is the last term.
We have, n=11, [tex]a_{1}[/tex] = 6
To calculate sum of arithmetic series, we need to find [tex]a_{11}[/tex] .
[tex]a_{11} = a_{1} + (n-1)d[/tex]
d = 1.4 for the given series. On substituting value of n, [tex]a_{1}[/tex] and d in equation1, we get
[tex]a_{11}[/tex] = 6 + (11-1)(1.4)
[tex]a_{11}[/tex] = 6 + 14 = 20
On substituting values in sum of arithmetic series formula, we get
[tex]S_{7}[/tex] = (11(6 + 20))/2 = 143
The summation notion of given series is ∑6+1.4n , here n starts from 0 and the sum of given arithmetic series is 143.
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Solve for X
Please Give explanation
Answers
x
5
+
1
=
1
15
5
+
1
=
1
1
5
x
5
+
5
5
=
1
15
5
+
5
5
=
1
1
5
2
Combine fractions with common denominator
x
5
+
5
5
=
1
15
5
+
5
5
=
1
1
5
x
+
5
5
=
1
15
+
5
5
=
1
1
5
3
Multiply all terms by the same value to eliminate fraction denominators
x
+
5
5
=
1
15
+
5
5
=
1
1
5
15
⋅
x
+
5
5
=
15
⋅
1
15
1
5
⋅
+
5
5
=
1
5
⋅
1
1
5
4
Cancel multiplied terms that are in the denominator
15
⋅
x
+
5
5
=
15
⋅
1
15
1
5
⋅
+
5
5
=
1
5
⋅
1
1
5
3
(
x
+
5
)
=
1
3
(
+
5
)
=
1
5
Distribute
3
(
x
+
5
)
=
1
3
(
+
5
)
=
1
3
x
+
15
=
1
3
+
1
5
=
1
6
Subtract
15
1
5
from both sides
3
x
+
15
=
1
3
+
1
5
=
1
3
x
+
15
−
15
=
1
−
15
3
+
1
5
−
1
5
=
1
−
1
5
7
Simplify
Subtract the numbers
Subtract the numbers
3
x
=
−
14
3
=
−
1
4
8
Divide both sides by the same factor
3
x
=
−
14
3
=
−
1
4
3
x
3
=
−
14
3
3
3
=
−
1
4
3
9
Simplify
Cancel terms that are in both the numerator and denominator
x
=
−
14
3
=
−
1
4
3
Answer: x = -14/3
Answer:
Step-by-step explanation:
[tex]\frac{x}{5} +1=\frac{1}{15}[/tex]
[tex]\frac{x}{5} = \frac{1}{15} -1[/tex]
[tex]\frac{x}{5} = \frac{1-15}{15}[/tex]
[tex]\frac{x}{5} = \frac{-14}{15}[/tex]
multiply both sides by 5
[tex]5*\frac{x}{5} = \frac{-14}{15} *5[/tex]
[tex]x=-\frac{14}{3}[/tex]
Determine whether each statement is always, sometimes, or never true. (Lesson 1-5 )
Two angles that form a linear pair are supplementary.
Answers
Two angles that form a linear pair are supplementary: Always TRUE
What do we mean by supplementary angles?Supplementary angles are 2 types whose sum totals 180°. A linear pair's two angles, always are supplementary. However, two angles do not have to be adjacent to just supplementary. The angles are supplementary if they form a linear pair.A linear pair creates a straight angle that contains 180, so you have two angles whose measurements add up to 180, indicating that they are supplementary.Therefore, the statement "two angles that form a linear pair are supplementary" is Always TRUE.
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Ginger's cat gave birth to a kitten that weighed 3 3/8 ounces when it was born. On the day Ginger sold the kitten to its new owner, it weighed 5 1/2 ounces. How many ounces did the kitten gain before it went home with its new owner?
Answers
The number of ounces gained by the Kitten before it went home with its new owner is; 3 1/8 ounces.
Fraction subtractionIt follows from the task content that the it is required that the weight gained by the kitten in ounces is to be determined.
Since the kitten weighed 5 1/2 ounces on the day it was sold and weighed; 3 3/8 ounces at birth, the number of ounces gained is;
= 5 1/2 - 3 3/8
= 11/2 - 27/8
= (44 - 27)/8
= 17/8
= 2 1/8 ounces.
Ultimately, the weight gained by the kitten, in ounces following evaluation from the task content is; 2 1/8 ounces.
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Please help. It’s solving quadratic equations using the quadratic formula
Answers
The solutions of the quadratic equations are listed below:
x₁ = - 1.5, x₂ = - 2 b₁ = 3, b₂ = - 0.8 m₁ ≈ 6.702, m₂ ≈ 0.298 h₁ ≈ 3.908, h₂ ≈ - 1.408 x₁ ≈ 1.333, x₂ = - 2 n₁ ≈ 14.446, n₂ ≈ 0.554 a₁ ≈ - 0.117, a₂ ≈ - 2.133 k₁ ≈ 2.108, k₂ ≈ - 1.708 t₁ = 1.75, t₂ = - 2.5 y₁ ≈ 0.333 + i 1.491, y₂ ≈ 0.333 - i 1.491 q₁ ≈ 2.408, q₂ ≈ - 2.908 x₁ ≈ 8.273, x₂ = - 2.273How to solve a quadratic equation by using the quadratic formula
In this problem we find quadratic equations of the form a · x² + b · x + c = 0, whose roots can be found analytically by using the quadratic formula:
x = - b / (2 · a) ± [1 / (2 · a)] · √(b² - 4 · a · c), a ≠ 0
Now we proceed to solve each quadratic equation:
1) 2 · x² + 7 · x + 6 = 0
x = - 7 / (2 · 2) ± [1 / (2 · 2)] · √(7² - 4 · 2 · 6)
x₁ = - 1.5, x₂ = - 2
2) 5 · b² - 11 · b - 12 = 0
b = 11 / (2 · 5) ± [1 / (2 · 5)] · √[(- 11)² - 4 · 5 · (- 12)]
b₁ = 3, b₂ = - 0.8
3) m² - 7 · m + 2 = 0
m = 7 / (2 · 1) ± [1 / (2 · 1)] · √[(- 7)² - 4 · 1 · 2]
m₁ ≈ 6.702, m₂ ≈ 0.298
4) 2 · h² - 5 · h - 11 = 0
h = 5 / (2 · 2) ± [1 / (2 · 2)] · √[(- 5)² - 4 · 2 · (- 11)]
h₁ ≈ 3.908, h₂ ≈ - 1.408
5) 3 · x² + 2 · x - 8 = 0
x = - 2 / (2 · 3) ± [1 / (2 · 3)] · √[2² - 4 · 3 · (- 8)]
x₁ ≈ 1.333, x₂ = - 2
6) n² - 15 · n + 8 = 0
n = 15 / (2 · 1) ± [1 / (2 · 1)] · √[(- 15)² - 4 · 1 · 8]
n₁ ≈ 14.446, n₂ ≈ 0.554
7) 4 · a² + 9 · a + 1 = 0
a = - 9 / (2 · 4) ± [1 / (2 · 4)] · √(9² - 4 · 4 · 1)
a₁ ≈ - 0.117, a₂ ≈ - 2.133
8) 5 · k² - 2 · k - 18 = 0
k = 2 / (2 · 5) ± [1 / (2 · 5)] · √[(- 2)² - 4 · 5 · (- 18)]
k₁ ≈ 2.108, k₂ ≈ - 1.708
9) 8 · t² + 6 · t - 35 = 0
t = - 6 / (2 · 8) ± [1 / (2 · 8)] · √[6² - 4 · 8 · (- 35)]
t₁ = 1.75, t₂ = - 2.5
10) 3 · y² - 2 · y + 7 = 0
y = 2 / (2 · 3) ± [1 / (2 · 3)] · √[(- 2)² - 4 · 3 · 7]
y₁ ≈ 0.333 + i 1.491, y₂ ≈ 0.333 - i 1.491
11) 2 · q² + q - 14 = 0
q = - 1 / (2 · 2) ± [1 / (2 · 2)] · √[1² - 4 · 2 · (- 14)]
q₁ ≈ 2.408, q₂ ≈ - 2.908
12) 0.5 · x² - 3 · x - 9.4 = 0
x = 3 / (2 · 0.5) ± [1 / (2 · 0.5)] · √[(- 3)² - 4 · 0.5 · (- 9.4)]
x₁ ≈ 8.273, x₂ = - 2.273
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someone help me for 100 points and brainliest pls
Answers
The decimal number with repeating digits can be written as:
0.344... = 31/90
How to write the number as a fraction?Here we have the number:
0.3444....
Where the 4 keeps repeating.
First, we need to multiply this by 10, so we get:
10*0.344... = 3.444...
Now if we subtract the original number we get:
10*0.344... - 0.344... = 3.444... - 0.344...
9*(0.344...) = 3.1
Now, isolating the original number:
0.344... = 3.1/9
Finally, we multiply and divide the fraction by 10 so we get two whole numbers:
0.344... = (10/10)*(3.1/9) = 31/90
0.344... = 31/90
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Wich number is prime 25,27, or 29
Answers
Explanation: it’s 29
Answer:
29
Step-by-step explanation:
ur in high school bro. Im in 7th grade. Get good bc is gonna get harder
Which quadratic equation has solutions x=8 and x=−1? clear submit 8x2 7x−1=0 x2 7x−8=0 x2−x 8=0 x2−7x−8=0
Answers
The quadratic equation which has solutions x = 8 and x = -1 is [tex]\bold{x^2-7x-8}[/tex] = 0.
An equation of degree 2 is called a quadratic equation. That is, the highest power of x in the equation will be two. It has at most two solutions.
Given the solutions are x = 8 and x = -1.
If x = a is a solution, then (x-a) is a factor for the equation.
So here, x-8 and x+1 are factors of the required quadratic equation.
Thus, the quadratic equation will be, (x-8)(x+1) = [tex]\bold{x^2-7x-8}[/tex] = 0.
We can check if x = 8 and x = -1 are the solutions. Put x = 8 in [tex]\bold{x^2-7x-8}[/tex]
Then, 8 x 8 - 7 x 8 - 8 = 0 and -1 x -1 - 7 x -1 - 8 = 0.
So [tex]\bold{x^2-7x-8}[/tex] = 0 is the quadratic equation with solutions x = 8 and x = -1.
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A bicycle has tires that are 24 inches in diameter.
a. Find the circumference of one tire.
Answers
The circumference of one tire is 75.36 inches.
We are given the diameter of tire of bicycle. The formula of circumference is as follows -
Circumference = 2× π × r, where r is representative of radius of circle. As we are given the diameter, we will use the formula of circumference with diameter. The formula to be used is as follows -
Circumference = π × d, where d is representative of diameter of circle.
Keep the values in formula to find the value of circumference of one tire. We will be taking the value of π as 3.14.
Circumference = 3.14 × 24
Performing multiplication to find the circumference of one tire.
Circumference = 75.36 inches
Hence, the circumference of one tire of bicycle is 75.36 inches.
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Ten runners are racing. How many different ways can the runners finish first, second,
third, and fourth? (Assume there are no ties.)
Answers
There are 5040 different ways can the runners finish first, second, third, and fourth place if ten runners are racing.
What is the permutation?The permutation is defined as considered an ordered combination.
The general formula for this is:
P(n, r) = n! (n-r)!
Ten runners are racing
There are ten runners who can win first place, hence there are ten ways.
Any of the remaining 9 runners may get up to the second position in nine different ways.
Any of the remaining 8 runners may get up to the third position in eight different ways
Any of the remaining 7 runners may get up to the fourth position in seven different ways
So total number of ways = 10 × 9 × 8 × 7 = 5040
Another way 4 Out of 10 need to select where order matters
= ¹⁰P₄
= 10!/6!
= 10 × 9 × 8 × 7
= 5040
Hence, there are 5040 different ways can the runners finish first, second, third, and fourth place if ten runners are racing.
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What is the index when x23
x
2
3
is rewritten as a radical expression?
Answers
When written as a radical, the index of a expression x²/³ is 2.
What are defined as the radicals?A radical is the inverse of an exponent, which is represented by the symbol "√, also known as the root. It can be a square root or even a cube root, and the number preceding the symbol and otherwise radical is known as an index number and degree.To rewrite the expression x²/³ as a radical expression, we must first understand what such a radical expression is.
A radical expression is a form expression: ⁿ√x.
As, ⁿ√x = x¹/ⁿ
Thus the given expression x²/³ can be written in the above form as;
x²/³ = (³√x)²
Now, the obtained result (³√x)² is written in the radical form where (³√x) is a radical.
As, the expression (³√x) is raised to the 2 power, the index of the expression when the expression is written as x²/³ have a radical is 2.
As a result, the index of the expression x²/³ when rewritten as a radical is 2.
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The complete question is-
What is the index when the expression x^2/3
is rewritten as a radical expression?
I will Mark Brainlist!!! Help It's A Math Problem !!Determine the approximate value of x using basic trigonometry.
Thank you so much for your time !!! have good day!!!
Answers
Answer:
this is the solution for your question
Use the given rule to write the 4th, 5th, 6th, and 7th terms of each sequence. an = n²/{n+1}
Answers
The 4th, 5th, 6th,and 7th terms of the sequence an = n²/{n+1} are 16/5, 25/6, 36/7, and 49/8 respectively.
According to the given question.
We have,
A formual for finding the gereral term of the sequence i.e.
an = n²/{n+1}.
Since, we have to find the 4th, 5th, 6th, and 7th term of the sequence.
Therefore,
4th term of the sequence is given by
[tex]a_{4}[/tex] = (4)^2/{4 + 1) = 16/5
5th term of the sequence is given by
[tex]a_{5}[/tex] = (5)^2/{5 + 1} = 25/6
6th term of the sequence is given by
[tex]a_{6}[/tex] = 6^2/{6 + 1} = 36/7
7th term of the sequence is given by
[tex]a_{7}[/tex] = 7^2/{7 + 1} = 49/8
Hence, the 4th, 5th, 6th,and 7th terms of the sequence an = n²/{n+1} are 16/5, 25/6, 36/7, and 49/8 respectively.
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Solve each equation. 4t = 48
Answers
How to write four hundred seven million six thousand nine hundred and sixty two?
Answers
Answer:
470,006,962
hope this helped :)
Answer:
407,006,962
you can check it on the internet ;)
3|x + 4| + 5 = −13. How do I solve this?
Answers
3x + 17 = -13
3x = -13 - 17
3x = -30
x = -10
answer: -10
cindy was able to earn $275 in two weeks . at the same rate , how much will he earn in 6 weeks
Answers
Answer 825
Step-by-step explanation:
275/2=137.5
137.5x6=825
The measure of one angle is 3 degrees more than 1/2 the measure of its supplement. Identify and solve an algebraic equation.
Answers
Based on the definition of supplementary angles:
Algebraic equation: A. x + (1/2x + 3) = 180
The measure of the smaller angle is: 62°
The measure of the larger angle is: 118°.
What are Supplementary Angles?The sum of the two angles that are supplement of each other is equal to 180 degrees, hence they are called supplementary angles.
One of the angles = x
The second angle = 1/2x + 3
Since they are supplementary angles, we will have the following algebraic equation:
x + (1/2x + 3) = 180
Solve for x
x + 1/2x + 3 = 180
3/2x = 180 - 3
3/2x = 177
2/3(3/2x) = 2/3(177)
x = 118°
The second angle = 180 - 118 = 62°
Therefore, based on the definition of supplementary angles, we have the following:
Algebraic equation: A. x + (1/2x + 3) = 180
The measure of the smaller angle is: 62°
The measure of the larger angle is: 118°.
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The measure of one angle on a right triangle is 16° more than the measure of the smallest angle.
find the measures of all three angles
Answers
Answer: 37° 53° 90°
Step-by-step explanation:
Given:
ΔABC m∠C=90°
Solution:
m∠A+m∠B+m∠C=180°
m∠A+m∠B+90°=180°
m∠A+m∠B+90°-90°=180°-90°
m∠A+m∠B=90°
Let m∠A=x°
Hence,
m∠B=(x+16)°
Thus,
x°+(x+16)°=90°
(2x)°+16°=90°
(2x)°+16°-16°=90°-16°
(2)(x)°=74°
Divide both parts of the equation by 2:
x°=m∠A=37°
m∠B=37°+16°
m∠B=53°
In ΔKLM, k = 56 inches, m = 51 inches and ∠M=28°. Find all possible values of ∠K, to the nearest degree.
Answers
The possible value of angle ∠K, to the nearest degree is 31 degrees
How to find all possible values of ∠K, to the nearest degree?The given parameters are
Triangle = ΔKLM,
Length k = 56 inches,
Length m = 51 inches
Angle ∠M =28
To calculate the possible value of angle K, we make use of the following sine rule
k/sin(K) = m/sin(M)
Substitute the known values in the above equation
So, we have
56/sin(K) = 51/sin(28)
Cross multiply in the above equation
So, we have
51 x sin(K) = 56 x sin(28)
Evaluate the product in the above equation
So, we have
51 x sin(K) = 26.29
Divide both sides of the above equation by 51
So, we have
sin(K) = 0.52
Take the arc sin of both sides
So, we have
K = 31
Hence, the possible value of angle ∠K, to the nearest degree is 31 degrees
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URGENT ‼️
WRITE AN Equation OF THE LIKE BELOW
Answers
[tex]\displaystyle\\Answer:\ y=\frac{x}{3}-3[/tex]
Step-by-step explanation:
[tex](0,-3)\ \ \ \ \ (6,-1)[/tex]
[tex]\displaystyle\\ Equation\ of\ the\ line\\\\\boxed {\frac{x-x_1}{x_2-x_1} =\frac{y-y_1}{y_2-y_1} }[/tex]
[tex]\displaystyle\\x_1=0\ \ \ \ x_2=6\ \ \ \ \ y_1=-3\ \ \ \ \ y_2=-1\\\\\frac{x-0}{6-0}=\frac{y-(-3)}{-1-(-3)}\\\\\frac{x}{6}=\frac{y+3}{-1+3} \\\\\frac{x}{6} =\frac{y+3}{2} \\\\Multiply\ both\ parts\ of \ the\ equation \ by \ 2:\\\\\frac{x}{3}=y+3\\\\\frac{x}{3}-3=y+3-3\\\\ \frac{x}{3} -3=y \\\\Thus,\\\\y=\frac{x}{3}-3[/tex]
First person to answer gets brainliest!
Please give me a step-by-step explanation for question m).
No links are allowed, and will be blocked. ❌
Answers
Answer:
118
Step-by-step explanation:
[tex]10^{2} + 2(6-3)^{2}[/tex] To start off, we work in the Parenthesis; 6-3 = 3
[tex]10^{2} + 2(3)^{2}[/tex] Now, we must do the exponents; 10^2 = 100; 3^2 = 9
[tex]100 + 2(9)[/tex] Next, we have to distribute the 2 to the 9; 2 x 9 = 18
[tex]100 + 18[/tex] Lastly, we have to add 100 and 18; 100 + 18 = 118
So! Our final answer is 118!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Answer:
118
Step-by-step explanation:
m) [tex]10^{2} + 2(6-3)^{2} = 10^{2} + 2(3)^{2} = 10^{2} + 2(9)= 100 + 18 = 118[/tex]
PLEASE HELP ME WITH THIS PROBLEM
Answers
Answer: MP is 29 units
Step-by-step explanation:
MP=MN+NP
5y+9=17+3y
5y+9-3y=17+3y-3y
2y+9=17
2y+9-9=17-9
2y=8
Divide both parts of the equation by 2:
y=4
Thus:
5*4+9=
20+9=
29 units
Which lines are parallel to the graph of 4x – y = 6?
Answers
Answer:
Step-by-step explanation:
-y = -4x +6
y = 4x -6
Any line with a slope of 4 and y-int other than -6 is parallel to y = 4x-6
Add or subtract. Simplify where possible. 5 / y+3 + 15 / y-3
Answers
The simplified form of expression is (2y + 3).
Rewriting the provided mathematical expression first -
5/(y + 3) + 15/(y - 3)
Shifting the second expression on other side of equation -
5/(y + 3) = - 15/(y - 3)
Performing cross multiplication
5 (y - 3) = -15 (y + 3)
5y - 15 = -15y - 45
Rearranging the equation
5y - (-15y) = -45 - (-15)
Performing addition and subtraction
5y + 15y = -45 + 15
20y = -30
Dividing both sides of equation by 10
2y = - 3
Rearranging the equation -
2y + 3
Hence, the simplified form of expression is (2y + 3).
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80 percent of 42 is what percent of 16 ?
a. 240
b. 210
c. 150
d. 50
e. 30
Answers
The percent of 16, which is equal to the 80 percent of 42 is 210.
What is meant by percentage?A percentage is a number or ratio expressed as a fraction of 100 in mathematics. The percent sign, "%," is commonly used, but the abbreviations "pct.", "pct," and sometimes "pc" are also used. A percentage is a number with no dimensions; it has no unit of measurement.
Let x be the percent of 16, which is equal to the 80 percent of 42.
80% of 42 = x % of 16
80/100 [tex]*[/tex] 42 = x/100 [tex]*[/tex] 16
80(42)/100 = 16/100 [tex]*[/tex] x
Multiplying both sides of the equation by 16/100, then we get
80(42)/100 [tex]*[/tex] (16/100) = 16/100 [tex]*[/tex] x [tex]*[/tex] (16/100)
simplifying the above equation, we get
80(42)/100 [tex]*[/tex] (16/100) = x
80(42)/16 = x
210 = x
The value of x = 210.
Therefore, the correct answer is option b. 210.
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Answer:
210
Step-by-step explanation:
We can start by finding 80% of 42:
80% of 42 = (80/100) x 42 = 33.6
So, the question now becomes: what percent of 16 is 33.6?
Let's call the unknown percentage "x".
We can set up the following equation:
x/100 x 16 = 33.6
Multiplying both sides by 100/16, we get:
x = (33.6 x 100)/16
x = 210
