Is this a right triangle: C. Yes, because 6² + 8² = 10².
What is the triangle inequality theorem?In Euclidean geometry, the Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than or equal (≥) to the third side of the triangle.
Mathematically, the Triangle Inequality Theorem is represented by this mathematical expression:
b - c < n < b + c
Where:
n, b, and c represent the side lengths of this triangle.
By applying Pythagorean theorem, the possible side lengths of the triangle's third side is given by:
10² = 6² + 8²
100 = 36 + 64
100 = 100 (True).
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Scientific Notation unit: 3A
In an upcoming spending bill, the total annual federal budget is $4.75 trillion. In that budget, an amount of $510 million is earmarked to help fund public broadcasting. Put this amount into perspective by doing the following exercise. Suppose one could fund the entire federal budget by working a single 8 hour work day. How many seconds of that work day would be devoted to paying the amount earmarked for public broadcasting.
If one could fund the entire federal budget by working a single 8-hour work day, approximately 3,085.35 seconds of that working day would be devoted to paying the amount earmarked for public broadcasting.
What is scientific notation?Scientific notation is a method of writing extremely large or extremely small numbers. When a number between 1 and 10 is multiplied by a power of 10, it is written in scientific notation.
Here,
To put the amount earmarked for public broadcasting into perspective, we can compare it to the total annual federal budget and calculate how much time would be spent working to pay for it.
First, let's convert both amounts to the same unit of measurement, such as dollars per second. If we assume an 8-hour work day,
8 * 60 * 60 = 28,800 seconds,
Then the federal budget can be funded at a rate of,
= 4.75 × 10¹²/ 28,800 seconds
= 165,278.47 dollars per second.
Next, we can divide the amount earmarked for public broadcasting by the rate of funding to find the number of seconds devoted to paying for it,
= 510 × 10⁶ / 165,278.47 dollars per second
= 3,085.35 seconds
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Kinsey has a plan to save $60 a month for 16 months so that she can purchase a new television. After 11 months Kinsey has saved $600. If the most that Kinsey can possibly save is $80 per month, which of the following statements is true?
Kinsey must save $72 per month to achieve her goal is the true statement, Option B is correct.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Kinsey has a plan to save $60 a month for 16 months so that she can purchase a new television.
If the most that Kinsey can possibly save is $80 per month then which of the given statements will be true.
After 11 months Kinsey has saved $600.
Now let us find for 16 months.
Goal over 16 months: $60 x 16 = $960
Collected after 11 months: $600
$360 still needed to reach the goal.
5 months lefts.
Divide 360 by 5
$360 ÷ 5 = $72
Hence, Kinsey must save $72 per month to achieve her goal, option B is correct.
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Complete question
Kinsey has a plan to save $60 a month for 16 months so that she can purchase a new television. After 11 months Kinsey has saved $600. If the most that Kinsey can possibly save is $80 per month, which of the following statements is true? a. Kinsey will meet her goal and does not need to adjust her plan. b. Kinsey must save $72 per month to achieve her goal. c. Kinsey must save $75 per month to achieve her goal. d. Kinsey will not be able to achieve her goal. Please select the best answer from the choices provided A B C D
yoseph wants to surprise his wife a birthday party at her favorite restaurant .it will cost birr 56.50 per person for dinner,including tip and tax.his budget for party is birr 735.what is the maximum number of people yoseph can have at the party.
The required, maximum number of people Yoseph can have at the party is 13 people.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
As mentioned in the question, Joseph wants to surprise his wife with a birthday party at her favorite restaurant .it will cost birr 56.50 per person for dinner, including tips and taxes. his budget for the party is birr 735.
So, the ratio of the budget to the cost per person defines the maximum number of people Yoseph can have at the party,
= 735 / 56
= 13 people
Thus, the required, maximum number of people Yoseph can have at the party is 13 people.
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A potassium hydroxide (koh) solution has a molar concentration of 0. 065 m, calculate the and ph of the solution. Remember that kw= 1. 0 x 10-14m2.
The pH of the solution is 12.81.
1) [OH⁻] = 0.065 M
2) [H₃O⁺] = 1.54 x 10⁻¹³ M.
3) pH = 12.81.
HCl is completely dissociated into its ions in solution:
KOH + H₂O → H₃O⁺ + K⁺ + OH⁻,
1) [OH⁻] = 0.065 M.
2) [H₃O⁺]:
∵ [H₃O⁺][OH⁻] = 10⁻¹⁴.
∴ [H₃O⁺] = [tex]\frac{10^{-14}}{OH^-}[/tex] = [tex]\frac{10^{-14}}{0.065}[/tex] = 1.54 x 10⁻¹³ M.
3) pH:
Typically, a pH meter is used to measure pH, which converts the difference in electromotive force (electrical potential or voltage) between appropriate electrodes put in the solution under test into pH measurements. A pH meter's basic components are a voltmeter connected to an electrode that responds to pH and an electrode that is constant. The reference electrode is typically a mercury-mercurous chloride (calomel) electrode, however a silver-silver chloride electrode is occasionally used. The pH-responsive electrode is often made of glass.
For strong acids like HCl:
pH = - log[H₃O⁺] = - log[1.54 x 10⁻¹³ M] = 12.81
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Sir Isaac Newton established the following formula to calculate the escape velocity from a planet:
2GM
Vesc=
R
Express R, the radius of the planet, in terms of G. M. and Vesc.
OR=(2GMVesc)²
OR=
where G is the gravitational constant. M is the mass of the planet, and R is the radius of the planet.
2GM
(Vesc)2
OR=
OR=
Vesc
2GM
(Vesc)²
2GM
Submit Answer
Answer: G24
Step-by-step explanation:
ITS REALLY EASY I DID THIS ONCE BUT I GOT 100% so
Which expression means “3 decreased by the quotient of 11 and a number n”?
The option A is correct because the value of the statement is 6+3/n-8.
What is number?A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
here, we have,
According to the statement
we have given that the statement and we have to write the statement in the numerical form.
So, For this purpose
we know that the given statement is
"Six more than the quotient of three and a number, decreased by eight".
In this statement "Six more than" indicates the sum between the quotient and 6.
And "The quotient of three and a number" indicates a fraction where the numerator is 3 and the denominator is , a number.
"Decreased by eight" indicates a subtraction between the quotient an 8 units".
If we unit all parts of the statements, we would have
6+3/n-8
So, From the given statement, The option A is correct because the value of the statement is 6+3/n-8.
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Explain why the value of 2.8 is greater than the value of 2.58.
2.58 is greater than 2.8 because 2.8 is closer to 0 on a number line.
2.58 is less than 2.8 because 2.58 is closer to 3 on a number line.
2.8 is greater than 2.58 because 2.8 is closer to 3 on a number line.
2.8 is less than 2.58 because 2.58 is closer to 0 on a number line. The letter on the number line represents one and eighty-five hundredths.
Answer:
Step-by-step explanation:
2.8 is greater than 2.58 - because 2.8 is closer to 3 on the number line.
Answer:
(C)
Step-by-step explanation:
2.8 is greater than 2.58 - because 2.8 is closer to 3 on the number line.
A mutual fund company offers its customers a variety of funds: a money-market fund, three different bond funds (short, intermediate, and long-term), two stock funds (moderate and high-risk), and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows.
(a)The probability that the selected individual owns shares in the balanced fund is 8%, that is 0.08.
(b)The probability that the selected individual owns shares in a bond fund is 26%.
(c)The probability that the selected individual does not own shares in a stock fund is 57%.
(a) A probability is a number that indicates how likely an event is to occur. In this case, the event is the selected individual owning shares in the balanced fund. The percentage of customers who own shares in the balanced fund is given as 8%. This means that if 100 customers own shares in just one fund, 8 of them would own shares in the balanced fund.
(b) To find the probability that the individual owns shares in a bond fund, we need to add up the percentages of customers who own shares in each of the bond funds:
Short bond: 14%
Intermediate bond: 7%
Long bond: 5%
Total bond funds: 14% + 7% + 5% = 26%
So, the probability that the selected individual owns shares in a bond fund is 26%.
(c) To find the probability that the selected individual does not own shares in a stock fund, we need to find the complement of the probability that the individual owns shares in a stock fund. The probability that the individual owns shares in a stock fund is the sum of the percentages of customers who own shares in each of the stock funds:
Moderate-risk stock: 25%
High-risk stock: 18%
Total stock funds: 25% + 18% = 43%
So, the probability that the selected individual does not own shares in a stock fund is 1 - 43% = 57%.
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--The question is incomplete, answering to the question below--
"A mutual fund company offers its customers a variety of funds: a money-market fund, three different bond funds (short, intermediate, and long-term), two stock funds (moderate and high-risk), and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows.
Money-market 23%
High-risk stock 18%
Short bond 14%
Moderate-risk stock 25%
Intermediate bond 7%
Balanced 8%
Long bond 5%
A customer who owns shares in just one fund is randomly selected.
(a)What is the probability that the selected individual owns shares in the balanced fund?
(b) What is the probability that the individual owns shares in a bond fund?
(c) What is the probability that the selected individual does not own shares in a stock fund?"
please help asap 25 points
Answer:
Binomial
Step-by-step explanation:
This expression is a binomial due to it having 2 terms.
bi=2
nomial=number or term
ERROR ANALYSIS Describe and correct the error in finding the difference.
X
(x²+x) - (2x²-3x)
= (x²+x) + (-2²-3r)
= (x^² - 2x²) + (x²-3x)
=-2²-2r
Answer:
There is an error in finding the difference. The expression (x²+x) - (2x²-3x) can be simplified as follows:
(x²+x) - (2x²-3x) = x²+x + (-2x²+3x) = x² - 2x² + x + 3x = -x² + 4x
So, the correct answer is -x² + 4x, not -2²-2r.
Step-by-step explanation:
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What is 3 miles per minute expressed in feet per minute? Recall that 1 mile is 5,280 feet.
3 miles per minute is equivalent to
feet per minute.
Intro
Done
The speed of 3 miles per minute expressed in feet per minute will be 15,840 feet per minute.
What is conversion?Unit transformation is the technique of restoring the dimensions of a provided piece between miscellaneous units.
The speed is given below.
Speed = 3 miles per minute
We know that in one mile, there are 5,280 feet. Then convert the speed from miles per minute to feet per minute. Then we have
Speed = 3 x 5,280 feet per minute
Speed = 15,840 feet per minute
The speed of 3 miles per minute expressed in feet per minute will be 15,840 feet per minute.
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At&t claims you can download 58 gigabytes every 2. 3 mins. If this is true how many years would it take to download 122 terabytes of data?
Answer:
3,076.5 rounded
Step-by-step explanation:
58 divided by 2.8 = 25.2173913043 for the unit rate. Then multiply by 122 = 3,076.5217391246.
In the knitting pattern,
m/1 = 42°.
Find the
measure of 2
in the knitting pattern, since the m<2 is the exterior angle, the measure of the exterior angle is 132°
Calculating exterior angles.Exterior angles of a right-angled triangle are calculated by the sum of the opposite interior angles. It can also be calculated by using the sum of angles in a triangle, followed by using the sum of angles on a straight line to determine the exterior angles.
Here, m < 1 = 42°, and the other angle is 90°
Thus, if the sum of the two opposite interior angles equals the exterior angles, then:
m< 2 = 42° + 90°
m< 2 = 132
Therefore, in the knitting pattern, since the m<2 is the exterior angle, the measure of the exterior angle is 132°
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Mary used a graph to solve this system of equations:
y = 3/1 x + 2 (blue line)
y = -1/1 x - 2 (red line)
Explain the error she made when graphing the equations
Creating your own graph, what is the correct solution to this system of equations
The system of equations are solved graphically and the value of x and y are -1 and -1 respectively
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the first equation be be P
y = 3x + 2 be equation (1)
Let the second equation be Q
y = -x - 2 be equation (2)
Now , the slope of the line P is m₁ = 3
The slope of the line Q is m₂ = -1
On simplifying the equations , we get
3x + 2 = -x - 2
Adding x on both sides , we get
4x + 2 = -2
Subtracting 2 on both sides , we get
4x = -4
Divide by 4 on both sides , we get
x = -1
Substitute the value of x in equation (1) , we get
y = -3 + 2
y = -1
Hence , the equations are plotted on the graph value of x and y are ( -1 , -1 )
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Suppose that some resource x is necessary to produce some good y. If the price of x rises.
This implies that the QS of good Y increases at the same price and as such, the S curve of good Y will experience a rightward shift.
The quantity provided (QS) of the good Y at different prices would be determined by the supply (S) curve of the good Y. (P). The fact that resource X is utilized in the supply of good Y suggests that resource X is an input employed in the creation of good Y. When a result, as the P of resource X declines, the cost of producing good Y increases, and in response, the producers of good Y raise the QS of good Y. This suggests that the QS of good Y grows at the same rate, leading to a rightward shift in the good Y S curve
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find three solutions to the equation 2x+6y=-12 for the following values of x or y. Enter your answers as an ordered pair in the form (x,y).
Enter the solution when
x=0
Enter the solution when
y=0
Enter the solution when
y=2
Answer:
Step-by-step explanation:
Pls help bro can you help??
Classify each statement about the function f(x)=2x^3+8 as true or false.
1)The domain of the function is all real numbers.
2)The range of the function is (0, ∞).
3)The y-intercept is (0, 0)
4)The center of symmetry is (0, 8).
All answers are mentioned below.
What do you mean by Function?A function is a mathematical concept that assigns to each input value (or "argument") exactly one output value (or "image"). In other words, a function is a rule that assigns a unique output for each input value. . A function can be represented graphically as a curve, or analytically as a formula. Functions play a central role in many areas of mathematics, science, and engineering.
1. True. The function f(x) = 2x^3 + 8 has no restrictions on x, so the domain of the function is all real numbers.
2. False. The range of the function f(x) = 2x^3 + 8 is (8, ∞), not (0, ∞). The value of the function f(x) will always be greater than or equal to 8 for all values of x.
3. False. The y-intercept of the function f(x) = 2x^3 + 8 is (0, 8), not (0, 0). When x = 0, the value of the function f(x) is 8.
4.True. The function f(x) = 2x^3 + 8 is an odd function, which means that it has a center of symmetry at x = 0. The center of symmetry of an odd function is the point at which the function is symmetric about the y-axis. The value of the function at the center of symmetry is equal to the y-intercept, which in this case is 8. Therefore, the center of symmetry of the function f(x) = 2x^3 + 8 is (0, 8).
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The range of the function f(x) = [tex]2x^{3}[/tex] + 8 is (8, ∞), not (0, ∞). The center of symmetry of an odd function is the point at which the function is symmetric about the y-axis.
What do you mean by Function?A function is a mathematical concept that assigns to each input value (or "argument") exactly one output value (or "image"). In other words, a function is a rule that assigns a unique output for each input value. . A function can be represented graphically as a curve, or analytically as a formula. Functions play a central role in many areas of mathematics, science, and engineering.
1. True. The function f(x) = [tex]2x^{3}[/tex] + 8 has no restrictions on x, so the domain of the function is all real numbers.
2. False. The range of the function f(x) = [tex]2x^{3}[/tex] + 8 is (8, ∞), not (0, ∞). The value of the function f(x) will always be greater than or equal to 8 for all values of x.
3. False. The y-intercept of the function f(x) = [tex]2x^{3}[/tex] + 8 is (0, 8), not (0, 0). When x = 0, the value of the function f(x) is 8.
4.True. The function f(x) = [tex]2x^{3}[/tex] + 8 is an odd function, which means that it has a center of symmetry at x = 0. The center of symmetry of an odd function is the point at which the function is symmetric about the y-axis. The value of the function at the center of symmetry is equal to the y-intercept, which in this case is 8. Therefore, the center of symmetry of the function f(x) = [tex]2x^{3}[/tex] + 8 is (0, 8).
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What is the result when the number 28 is increased by 25%?
Answer:
Step-by-step explanation:
To increase a number by a certain percentage, we can multiply the number by (1 + the percentage as a decimal).
To find 25% of 28, we can convert 25% to a decimal by dividing by 100:
25% = 25/100 = 0.25
Now, to find what 28 is increased by 25%, we can multiply 28 by (1 + 0.25):
28 * (1 + 0.25) = 28 * 1.25 = 35
So, the result when 28 is increased by 25% is 35.
Answer: 35
Step-by-step explanation:
we know 28 / 4 = 7
so, 7 is 25% of 28, therefore, we can add 7 to 28 and the answer is 35.
If what is the value of x?
Answer:
The value of x could be anything. You need to give me a formula or I can't give you the answer.
Step-by-step explanation:
Answer:
x can be any number, 1, 2, 3, 4, 5, etc.....
If you have a formula, then I can solve it and find what number x is.
So remember, x can be any number, depending on the formula.
Hope this Helped!
Have a GOOD DAY!
An ss1 contains three classes of 36 33 and 31 students. in an examination the average marks of the classes were 65, 56 and 52 respectively. what was the average mark for the ss1 altogether?
The decreases SSwithin and increase the size of the F-ratio be the effect of changing the value of ss1 to 50 option (D) is correct.
What are the population and sample?Sample, which can be stated as a part of population. and, it is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.
here, we have,
It is given that:
Sample Data
M1 = 10 M2 = 15
SS1 = 90 SS2 = 70
As we know,
The F ratio:
F = S²(x)/S²(y)
From the data given we can say:
Reduce SSwithin and boost the F-magnitude. ratio's
Thus, we get that the decrease SSwithin and increase the size of the F-ratio be the effect of changing the value of ss1 to 50 option (D) is correct.
The question is incomplete.
The complete question is attached in the picture.
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I need help with this please and thank you.
Answer:
11x-11x+9 it's the answer the number having same value in top add then or sub them ok bro
Solve the following system of equations.
4x + 5y = 10
8x + 5y = 30
x=0
y = 0
8 08
X
S
The system of equations has its solution to be x = 5 and y = -2
How to solve the system of equations.From the question, we have the following parameters that can be used in our computation:
4x + 5y = 10
8x + 5y = 30
Subtract bothh equations
So, we have
4x = 20
Divide by 4
x = 5
Recall that 4x + 5y = 10
So, we have
4 * 5 + 5y = 10
This gives
5y = -10
Divide by 5
y = -2
Hence, the value of y is -2
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The graph of a function is a transformation of the graph of its parent function in which the graph is
vertically stretched by a factor of 2;
• shifted left 3 units; and
• shifted up 2 units.
The equation for the function after the transformations is given as follows:
[tex]y = 2\sqrt{x + 3} + 2[/tex]
What is a translation?A translation happens when either a figure or a function are moved horizontally or vertically.
The four translation rules for functions are given as follows:
Left a units: f(x + a).Right a units: f(x - a).Up a units: f(x) + a.Down a units: f(x) - a.For a vertical stretch by a factor of a, the function is multiplied by a.
The parent function for this problem is given as follows:
[tex]y = \sqrt{x}[/tex]
Hence the function after each transformation is defined as follows:
Vertical stretch by a factor of 2: [tex]y = 2\sqrt{x}[/tex]Shift left 3 units: [tex]y = 2\sqrt{x+3}[/tex]Shift up 2 units: [tex]y = 2\sqrt{x+3} + 2[/tex]More can be learned about translations at brainly.com/question/28174785
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The Jones family will take a drive for one and one-half hours. They need to reach their destination by 1:15 PM. What is the latest time they can leave and still reach their destination on time?
PLEASE I NEED THE ANSWER NOW⁉️⁉️
Answer:
If the Jones family needs to reach their destination by 1:15 PM and their drive will take one and a half hours, we can work backwards to determine the latest time they can leave.
Subtracting 1.5 hours from 1:15 PM, we get:
1:15 PM - 1.5 hours = 11:45 AM
Therefore, the latest time the Jones family can leave and still reach their destination on time is 11:45 AM.
If 3x^2+bx+5 is factorable, then the value of b must be +8 or +____
(Must be a positive number)
The solution is, if the expression x^3 + 10x + 25 is factorable then, the value of b is, 10 = b.
What is an expression?An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
here, we have,
Begin by expanding (x + 5)^2
(x + 5)(x + 5)
First: x*x = x^2
Outside: x * 5 (the last term which is a 5)
Inside: 5+ x
Last: 5*5 = 25
x^2 + 5x + 5x + 25
x^3 + 10x + 25
Hence, The solution is, the value is, 10 = b.
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what is percentage is as common fractions in simplest form 40% 32% 15% 37% 96%
Answer:
2/5, 8/25, 3/20, 37/100, 24/25
Step-by-step explanation:
What is a percentage?A percentage is a ratio or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.
If we know that percentages are fractions of 100, we can convert these percentages:
40% = [tex]\frac{40}{100}[/tex]32% = [tex]\frac{32}{100}[/tex]15% = [tex]\frac{15}{100}[/tex]37% = [tex]\frac{37}{100}[/tex]96% = [tex]\frac{96}{100}[/tex]Simplifying these fractions:
[tex]\frac{40}{100} = \frac{2}{5}[/tex][tex]\frac{32}{100} = \frac{8}{25}[/tex][tex]\frac{15}{100}=[/tex] [tex]\frac{3}{20}[/tex][tex]\frac{37}{100}=\frac{37}{100}[/tex][tex]\frac{96}{100} =\frac{24}{25}[/tex]Therefore, the percentages as simplified fractions are listed above.
Find the midpoint of the line segment joining the points =(0, -2) and = (-4, 6)
Answer:-5,6
Step-by-step shhsjshshshsh
PLEASE HELP LIKE ASAP!!!
Answer: the answer is 32.5 square feet
Step-by-step explanation:
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in 2006 was 85% of the number at
the school in 2005. In 2006 the number of students was 1020.
How many students were there in 2005?
Answer:
In 2005, there were 1,200 students at the school.
Step-by-step explanation:
In 2005, there were 1,200 students at the school. This can be calculated by taking 85% of 1020 (the number of students in 2006) and multiplying it by 100. 85% of 1020 is 861. Multiplying this by 100 gives us 86,100. Dividing this by 85 gives us 1,200. Therefore, in 2005 there were 1,200 students at the school.