Answer:
Step-by-step explanation:
The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.
Answer:
The slope is the steepness of a function/line
it is the coefficient of x or m in y=mx+b
Is. She analyzes
st.
Martha graphs the data for the number of bracelets made, a, and the number of beads used,
y, and draws a line through the points.
Number of Beads Used
600
500
400
300
200
100
0
Bracelets Made
versus Beads Used
(31, 651)
(23, 483).
(10, 210)
5 10 15 20 25 30 35
Number of Bracelets Made
Write an equation that represents the relationship between the number of bracelets made
and the number of beads used. Show or explain how you found the slope and y-intercept.
Enter your equation and your work or explanation in the space provided.
You may use the drawing box to add a drawing to help explain your answer.
A
7
44
▶
Exhibits
P
The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.
First, the rate of change
= (483 - 210) / (23 - 10)
= 273 / 13
= 21
So, the equation for the relationship between the number of bracelets made and the number of beads used.
(y - 210) = 21 (x- 10)
y - 210 = 21x - 210
y = 21x
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Fill in the blank with the correct answer choice. A ___________ has exactly one pair of parallel lines. a. square c. trapezoid b. parallelogram d. rectangle Please select the best answer from the choices provided A B C D
Answer: C
Step-by-step explanation:
The rest of the quadrilaterals provided have 2 pairs of parallel lines.
The choice is:
CExplanation:
The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.
Here's what a trapezoid looks like :
\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)
Hence, this makes C the correct choice.Find the linear function for f(1) = 3 and f(4) = 0
Answer:
Step-by-step explanation:
User will enter three grades averages (exam, project, and lab). Determine which of the three grades (consider any ties) is the highest grade and display the results. Determine which of the three grades (consider any ties) is the lowest grade and display the results. Check for any grades failing below 70% and display each individual grade. Calculate the average grade using the three grades and display the average grade. If they are all 70 and above then display the fact that they are all 70% or above.
Answer:
In Python:
exam = int(input("Exam: "))
project = int(input("Project: "))
lab = int(input("Lab: "))
if exam >= project and exam >= lab:
print("Highest Grade: "+str(exam))
elif project >= exam and project >= lab:
print("Highest Grade: "+str(project))
else:
print("Highest Grade: "+str(lab))
if exam <= project and exam <= lab:
print("Lowest Grade: "+str(exam))
elif project <= exam and project <= lab:
print("Lowest Grade: "+str(project))
else:
print("Lowest Grade: "+str(lab))
print("\nGrades below 70")
if exam < 70:
print("Exam: "+str(exam))
if project < 70:
print("Project: "+str(project))
if lab < 70:
print("Lab: "+str(lab))
print("\nAverage: "+str((exam+project+lab)/3))
if exam > 70 and project >70 and lab > 70:
print("All grades are above 70")
Step-by-step explanation:
The next three lines get input for exam, project and lab
exam = int(input("Exam: "))
project = int(input("Project: "))
lab = int(input("Lab: "))
This condition checks if exam is the highest grade
if exam >= project and exam >= lab:
If true, exam is printed as the highest grade
print("Highest Grade: "+str(exam))
This condition checks if project is the highest grade
elif project >= exam and project >= lab:
If true, project is printed as the highest grade
print("Highest Grade: "+str(project))
If otherwise
else:
lab is printed as the highest grade
print("Highest Grade: "+str(lab))
This condition checks if exam is the lowest grade
if exam <= project and exam <= lab:
If true, exam is printed as the lowest grade
print("Lowest Grade: "+str(exam))
This condition checks if project is the lowest grade
elif project <= exam and project <= lab:
If true, project is printed as the lowest grade
print("Lowest Grade: "+str(project))
If otherwise
else:
lab is printed as the lowest grade
print("Lowest Grade: "+str(lab))
This prints the header "Grades below 70"
print("\nGrades below 70")
This checks if exam is below 70.
if exam < 70:
If true, exam score is printed
print("Exam: "+str(exam))
This checks if project is below 70
if project < 70:
If true, project score is printed
print("Project: "+str(project))
This checks if lab is below 70
if lab < 70:
If true, lab score is printed
print("Lab: "+str(lab))
This calculates and prints the average
print("\nAverage: "+str((exam+project+lab)/3))
This checks if all three scores are above 70
if exam > 70 and project >70 and lab > 70:
If true, the the message that all are above 70, is printed
print("All grades are above 70")
Consider a sample with data values of 27, 24, 21, 16, 30, 35, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20th percentile 1 1.8 Incorrect: Your answer is incorrect. 25th percentile 2 2.25 Incorrect: Your answer is incorrect. 65th percentile 3 5.85 Incorrect: Your answer is incorrect. 75th percentile
Answer:
20
21.75
27.85
29.5
Step-by-step explanation:
Arranging the values in ascending order we get
16 21 24 24 27 28 30 35
n = Number of values = 8
Rank is given by
\(\dfrac{\text{Percentile}}{100}\times (n+1)\)
\(=\dfrac{20}{100}(8+1)=1.8\)
Taking the fraction of the rank i.e., 0.8 and work out the weighted mean
\(0.8\times (21-16)+16=20\)
The 20th percentile is 20
\(\dfrac{25}{100}(8+1)=2.25\)
\(0.25(24-21)+21=21.75\)
The 25th percentile is 21.75
\(\dfrac{65}{100}(8+1)=5.85\)
\(0.85(28-27)+27=27.85\)
The 65th percentile is 27.85
\(\dfrac{75}{100}(8+1)=6.75\)
\(0.75(30-28)+28=29.5\)
The 75th percentile is 29.5
Sarah is spending the day at a state fair. While at the fair, she can play games or ride rides. When Sarah arrives at the fair, she purchases 15 tickets and wants to use all of the tickets that she purchases. Playing a game at the fair requires three tickets, and riding a ride at the fair requires six tickets. To make her trip to the fair worthwhile, Sarah decides she must participate in seven activities at the fair.
Sarah requires the purchase of additional 12 tickets to ensure her participation in the seven activities at the fair.
How are the additional (missing) tickets determined?The additional tickets required by Sarah can be determined as follows:
Number of tickets purchased initially = 15
Number of tickets for playing a game = 3
Number of tickets for riding a ride = 6
Sarah can play five (5) games with 15 tickets (15/3).
Sarah can then purchase 12 additional tickets (6 x 2).
The later action enables Sarah to participate in 5 games and 2 rides, making it a total of 7 activities.
Thus, by purchasing additional 12 tickets, Sarah can participate in 5 games and 2 rides, making it a total of 7 activities.
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Question Completion:How many more tickets does Sarah require to ensure her participation in the seven activities at the fair?
Janelle;s art project requires her to use exactly 4 different colors of paint. How many ways
can she choose the 4 colors from 10 available colors?
There are 210 ways that Janelle can choose 4 colors from 10 available colors for her art project.
Janelle needs to choose 4 colors out of 10 available colors for her art project. The order in which she chooses the colors does not matter. We can use the combination formula to determine the number of ways she can choose 4 colors from 10 available colors:
nCr = n! / r!(n - r)!
where n is the total number of colors available, r is the number of colors Janelle needs to choose, and ! denotes the factorial operation.
In this case, we have:
n = 10 (total number of colors available)
r = 4 (number of colors Janelle needs to choose)
Substituting these values into the formula, we get:
10C4 = 10! / 4!(10 - 4)!
= 10! / 4!6!
= (10 x 9 x 8 x 7) / (4 x 3 x 2 x 1)
= 210
Therefore, for her art assignment, Janelle can select 4 colors from a palette of 10 in 210 different ways.
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Evaluate =f(×) r 6x-2 for f (2a-3)
Answer:
\( \boxed{\sf f(2a - 3) = 12a - 20} \)
Step-by-step explanation:
Function given:
⇒f(x) = 6x - 2
Substitute 2a - 3 into the function in place of x:
⇒f(2a - 3) = 6(2a - 3) - 2
Expand bracket:
⇒f(2a - 3) = 12a - 18 - 2
Add the like terms:
⇒f(2a - 3) = 12a - 20
Evaluate the expression.
(-4)2
Answer:
-8
Step-by-step explanation:
4x2=8
change to negative since a negative times a positive is a negative
-8
Answer: -8
Step-by-step explanation: -4* 2= -8
What is the equation of the line that passes through the point (2,−2) and has a slope of 1/2
Answer:
y = 1/2x - 3Step-by-step explanation:
Given:
Line passing through the point (2, -2)The slope is m = 1/2The equation of a line:
y = mx + b, where m is a slope, b is a y-interceptUse the coordinates of the point and find the value of b:
-2 = 1/2*2 + b-2 = 1 + bb = -2 - 1b = -3The line is:
y = 1/2x - 3Answer:
y = ½x - 3
Step-by-step explanation:
x = 2
y = - 2
a = ½
y = ax + b
- 2 = ½(2) + b
- 2 = 1 + b
b = - 2 - 1
b = - 3
y = ax + b
y = ½x + (-3)
y = ½x - 3
Answer the correct answer to this riddle to get brainliest
Goodluck!! (☞゚ヮ゚)☞ ☜(゚ヮ゚☜)
You use me all the time
You bring me everywhere you go
You pay almost all your money just to get me
I am your most prized possession
What am I?
c) I use the 4 triangles to make a trapezium. What is the area of the trapezium?
Answer:
1/2=10
Step-by-step explanation:
it depends upon the area of the triwngle
what’s the answer for this problem????
The inequality on the number line is 5x -2 > -22 or 6x-7 < 11.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
The open circles on the number line shows that it does not include those value i.e., the values have less than and greater than.
So, from the number line the inequality is -4 < x < 3.
Now, 5x -2 > -22 and 6x-7 < 11
5x > -20 and 6x < 18
x > -4 and x<3.
x+5 >8 and 3+ 2x < -5
x >3 and x < -4.
so, the inequality is 5x -2 > -22 or 6x-7 < 11.
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20 Points!!! Lisa writes 15 pages of a research paper. If she has written 75% of her goal, what is the total number of pages that she wants to write?
Answer:
I believe that her goal is 20 pages because 75% of 20 is 15.
Step-by-step explanation:
Harley invested $6,300 into an account that earns 3.5% simple interest. What is the total balance of the account after 5 years
Answer:
$7402.50 I think
Step-by-step explanation:
3.5(5)= 17.5 percent
175/1000* 6300= 17.5*63= 1102.5
6300+ 1102.5= 7402.5
if my answer helps please mark as brainliest.
How long is 10 percentage of 60 minutes?
Answer:
\( \red{\frac{1 \cancel0}{1 \cancel0 \cancel0} \times 6 \cancel0 \: minutes}\)
\( \red{\frac{1}{1} \times 6 \: minutes}\)
\( \red{ \frac{1 \times 6}{1} \: minutes}\)
\( \red{ \frac{6}{1} \: minutes}\)
\( \red{6 \: minutes}\)
I NEED THE ANSWER ASAP
If you were to write the slope-intercept equation for a line that goes through the point (4,-3)--with a slope of -2--what would be the value of b?
y=mx+b
y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We have to find the slope-intercept equation for a line that goes through the point (4,-3)--with a slope of -2
m=-2
Now let us find the y intercept
-3=-2(4)+b
-3=-8+b
-3+8=b
5=b
Hence, y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.
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A bag with 6 marbles has 2 blue marbles, 1 red marble, and 3 yellow marbles. A marble is chosen from the bag at random. What is the probability that it is
blue?
Write your answer as a fraction in simplest form.
Answer:
\(\frac{1}{3}\)
Step-by-step explanation:
There are 6 marbles total. Divide the number of blue marbles by the total amount of marbles.
\(\frac{2}{6}\)
Simplify
\(\frac{1}{3}\)
Let f be a differentiable function, defined for all realnumbers x, with the following properties. Find f(x). Show yourwork.
i) f'(x)=ax2+bx
ii) f'(1)=6 and f"(1)=18
iii. =18
The differentiable function f with the given properties is \(f(x)=4x^3-3x^2+10\).
What is a differentiable function:
A function with a differentiable value of one real variable is one whose domain contains a derivative. In other words, each interior point in the domain of a differentiable function's graph has a non-vertical tangent line.
The given properties for the differentiable function f are:
\((i) f'(x)=ax^2+bx\\ (ii) f'(1)=6, f''(1)=18\\ (iii) \int\limits^2_1 {f(x)} \, dx =18\)
From (i) we can get \(f''(x)=2ax+b\)
By substituting (ii) in (i) we will get:
a+b=6 and 2a+b=18. By solving these two equations we will get the following:
a=12, b=-6.
We will integrate (i) on both sides, we will get:
\(f(x)=\frac{ax^3}{3} +\frac{bx^2}{2} +c\) where c is the integration constant.
In this equation, we will substitute a,b.
\(f(x)=\frac{12x^3}{3} +\frac{-6x^2}{2} +c\\ \\ f(x)= 4x^3-3x^2+c\)...................(iv)
Now we will substitute (iv) in (iii), and we will get:
\(\int\limits^2_1 {( 4x^3-3x^2+c)} \, dx =18\\ \\ (2^4-2^3+2c)-(1^4-1^3+c)=18\\ \\c=10\)
Therefore \(f(x)=4x^3-3x^2+10\).
Complete question:
Let f be a differentiable function, defined for all real numbers x, with the following properties. Find f(x). Show your work.
\((i) f'(x)=ax^2+bx\\ (ii) f'(1)=6, f''(1)=18\\ (iii) \int\limits^2_1 {f(x)} \, dx =18\)
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Need answer to this question please don’t understand it
we have to do alot for this
so first we gotta change 12.3 into a mixed fraction
n = 5 so 5 ÷ 12.3
noah has a part-time job at a coffee shop. Last month he earned $160. Noah pays an income tax rate of 10%. How much does Noah earn after tax?
Noah earned $160 last month, and his income tax rate is 10%. To calculate how much he earns after tax, we need to subtract the tax amount from his earnings.
The tax amount is equal to 10% of his earnings, which is:
0.1
×
160
=
16
0.1×160=16
Therefore, Noah's earnings after tax is:
160
−
16
=
144
160−16=144
Noah earns $144 after tax.
There are 6 acts in a talent show.
An acrobat, a dancer, a guitarist, a singer, a violinist, and a whistler.
A talent show host randomly schedules the 6 acts.
Compute the probability of each of the following events.
Event A: The acrobat is first, the singer is second, the violinist is third, and the whistler is fourth.
Event B: The first four acts are the whistler, the acrobat, the guitarist, and the dancer, In any order.
Write your answers as fractions in simplest form.
P(A) =
P (B) =
The probability of Event A is 1/360 and the probability of Event B is 1/15.
For Event A, we can calculate the probability by considering the order in which the acts are scheduled.
There are 6 acts, so there are 6 possible choices for the first act. After the first act is scheduled, there are 5 remaining acts, so there are 5 possible choices for the second act.
Similarly, there are 4 possible choices for the third act, and 3 possible choices for the fourth act.
Finally, there are 2 possible choices for the fifth act, and only 1 choice remains for the last act.
Therefore, the total number of possible ways to schedule all 6 acts is:
6 x 5 x 4 x 3 x 2 x 1 = 720
Since we are only interested in one specific order of the first four acts, we need to count the number of ways to schedule the remaining two acts after the first four have been scheduled in the desired order.
There are 2 remaining acts, so there are 2 possible choices for the fifth act.
Only one act remains for the last slot.
Therefore, the total number of ways to schedule all 6 acts such that the acrobat is first, the singer is second, the violinist is third, and the whistler is fourth is:
1 x 1 x 1 x 1 x 2 x 1 = 2
Thus, the probability of Event A is:
P(A) = 2/720 = 1/360
For Event B, we want to count the number of ways to schedule the first four acts as the whistler, the acrobat, the guitarist, and the dancer, in any order.
There are 4 acts, so there are 4 possible choices for the first act. After the first act is scheduled, there are 3 remaining acts, so there are 3 possible choices for the second act.
Similarly, there are 2 possible choices for the third act, and only one choice remains for the fourth act.
Therefore, the total number of possible ways to schedule the first four acts is:
4 x 3 x 2 x 1 = 24
Since we do not care about the order in which the last two acts are scheduled, we can simply choose any two acts from the remaining 2. There are 2 ways to do this.
Therefore, the total number of ways to schedule all 6 acts such that the first four acts are the whistler, the acrobat, the guitarist, and the dancer, in any order is:
24 x 2 = 48
Thus, the probability of Event B is:
P(B) = 48/720 = 1/15
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the mean, the median, and the are basic statistical measures that determine characteristics of a given group of numbers.
Answer:
middle set of data
Step-by-step explanation:
What are the domain and range of the function f(x)=-x+3-2? domain: -3 -2 domain: -3 -3 range: y<-2 domain: x>-3 range:y>-2
For given function function f(x)=-x+3-2, the domain is x > -3 and the range is y ≤ 2. So, correct option is D.
The function f(x)=-x+3-2 is a linear function in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -1 and the y-intercept is 1. Therefore, the graph of the function is a straight line that intersects the y-axis at (0,1) and has a slope of -1, meaning that it decreases by 1 for every 1 unit increase in x.
The domain of the function is the set of all possible values of x for which the function is defined. Since there are no restrictions on the value of x in the equation f(x)=-x+3-2, the domain is all real numbers, or (-∞, ∞).
The range of the function is the set of all possible values of y that the function can output. In this case, the lowest possible value of y occurs when x approaches positive infinity, and the highest possible value of y occurs when x approaches negative infinity. Therefore, the range is all real numbers less than or equal to 2, or y ≤ 2.
So, the domain is x ∈ (-∞, ∞) and the range is y ≤ 2. Alternatively, the domain can also be expressed as x > -3, since that is the minimum value of x at which the function is defined.
Correct option is D.
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Complete question is:
What are the domain and range of the function f(x)=-x+3-2?
A) domain: -3 -2
B) domain: -3 -3 range: y<-2
C) domain: x>-3 range:y>-2
D) domain : x>-3 range: y ≤ 2
A publisher has the exclusive right to publish a book expected by the public. It is expected to sell “x” collections of books per month at a price of “p” dollars each collection, where p=600-5x. Considering that the publisher has fixed monthly costs of $8,000 and a variable cost per collection of $75.
a) Graph the utility function that each month can have (also apply the tabulation), indicating how much this maximum monthly utility amounts to. Finally, ¿what are the intersection points of this function with the "x" axis?
Answer:
Variable selling costs per unit. $ 5. Allocated fixed selling costs per unit ... P + FC = Q x (SP – VC).
Step-by-step explanation:
Variable selling costs per unit. $ 5. Allocated fixed selling costs per unit ... P + FC = Q x (SP – VC).
A straight line that is parallel to one of the sides of a given triangle intersects its other two sides (or their extensions) and, with them, forms a triangle. Prove that this triangle is similar to the original triangle.
The proof below shows that the triangle is similar to the original triangle is as shown below.
How to identify similar triangles?Similar triangles are defined as the triangles that have the same shape, but their sizes may vary.
We are told that a straight line that is parallel to one of the sides of a given triangle intersects its other two sides. Let the straight line be DE and let the line it is parallel to be BC as shown in the triangle attached. Thus, DE∥BC
In the two triangles formed △ADE and △ABC, we can say that;
∠DAE = ∠BAC because they are common angles.
We can also say that;
∠ADE = ∠ABC [This is because DE∥BC which means ∠ADE and ∠ABC are corresponding angles and as such we say that they are congruent.
By the same concept, we can also say that ∠AED=∠ACB
∴△ADE ∼ △ABC
In similar triangles, corresponding sides are in the same ratio and as such; AD/AB = AE/AC
Thus, we can also simplify this to;
AD/DB = AE/EC
Thus, It is proved that if a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio.
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Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.) ℒ−1 s (s − 4)(s − 5)(s − 20)
Answer:
\(L^{-1} \begin {pmatrix} \dfrac{s}{((s-20)(s-5)(s-4)} \end {pmatrix}= \dfrac{e^{4t}}{12}\begin {pmatrix}e^{16t} - 4e^t+3 \end {pmatrix}\)
Step-by-step explanation:
From the given information the first step to carry out is to find the partial fraction of the given equation; i.e.
\(\dfrac{s}{(s-4)(s-5)(s-20)}= \dfrac{A}{s-4}+\dfrac{B}{s-5}+\dfrac{C}{s-20}\)
After finding the partial fraction; we get:
\(s= s^2(A+B+C)+s(-2A-24B-25C)+20A+80B+100C\)
By solving this; we get:
\(A =\dfrac{1}{12}\ ; \ B = -\dfrac{1}{3} \ ; \ C= \dfrac{1}{4}\)
Thus; the above equation can be re-written as:
\(\dfrac{s}{(s-20)(s-5)(s-4)}= \dfrac{\dfrac{1}{12}}{s-20}+\dfrac{-\dfrac{1}{3} }{s-5}+\dfrac{\dfrac{1}{4}}{s-4}\)
Finally as a function of t ;
\(L^{-1} \begin {pmatrix} \dfrac{s}{((s-20)(s-5)(s-4)} \end {pmatrix}= \dfrac{e^{4t}}{12}\begin {pmatrix}e^{16t} - 4e^t+3 \end {pmatrix}\)
5-37. Richard's strategy for changing a percent to a decimal is to put the decimal point in front of the percent
number. An example of his work is shown at right. Do you agree with Richard's method? Explain your reasoning.
8%=0.8
80%=0.80
800%=0.800
9514 1404 393
Answer:
no
Step-by-step explanation:
The percent symbol (%) is a shorthand way to write "divided by 100" (/100). The percent can be changed to a decimal by making that substitution.
8% = 8/100 = 0.08
80% = 80/100 = 0.80
800% = 800/100 = 8.00
Effectively, the change to a decimal is made by moving the decimal point two places to the left. Richard's strategy only works if the percentage has 2 digits left of its decimal point. It does not work in the general case.
If 3/4 = x/8 then x is equal to what
Answer:
x is 6
Step-by-step explanation:
3/4 * x/8
3*8=24 then,
divide by 4 which gives you 6.
Also if you simplify 6/8, it will give you 3/4.
Answer:
6 =x
Step-by-step explanation:
Tonia hit 65% of the 20 pitches thrown to her at softball practice. Fill in the missing information and determine how many pitches Tonia hit.
Answer: 13
Step-by-step explanation:
20(.65) = 13
Hope that helps!