The value of x is 71.6 degrees
How to find third angle :The sum of a triangle's interior angles equals 180o. When the other two angles of a triangle are known, subtract the number of degrees in the other two angles from 180 degrees to find the third angle. A triangle has three parallel straight sides. The lengths of the sides can vary, but the largest side's length cannot be equal to or greater than the sum of the other two sides. Furthermore, a triangle has three interior angles, the sum of which is always 180 degrees.
We have a Right angle triangle and a value of an angle 18.4.
That is one angle is 18.4° and other is 90°.
To find third angle just add two angles and subtract that with 180.
Add two angle we have 18.4 + 90 = 108.4Subtract 108.4 with 180 = 180 -108.4 = 71.6°The third angle is 71.6°
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help meeeeeeee pleaseee
thank you
The domain of the relationship is: -∞ < x < ∞
The range of the relationship is: -∞ < y ≤ -3
The domain of a function is the defined set of x values, and the scope of the function is the defined set of y values.
The graph's domain is,
The curve on the x-axis begins x = -∞, and it concludes at x = ∞
So, the domain of the relation is: -∞ < x < ∞ .
The graph's range is,
On the y-axis, the curve begins at y = -∞, and it concludes at y = -3.
The connection has a range of -∞ < y ≤ -3.
As a result, the domain and range of the graph are: -∞ < x < ∞ and -∞ < y ≤ -3.
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I need help please!!!!!!!!!!!,,,,,,,,,,,,,,
Answer:
Step-by-step explanation:
all work is in the pics below
the check understanding question is there also
Find the slope and y-Intercept of the line in the graph. Express the answers as simplified fractions, If necessary. COM ty 6 4 3 3 W 5 07 The slope is m = The y-intercept is b =
In order to find the slope and y-intercept of the line, first we can identify the point where the line intersects the y-axis, and that will be the y-intercept.
Looking at the graph, the line intersects the y-axis in the value y = -4, so the y-intercept is -4.
Now, to calculate the slope, we can identify two points on the line and use the following definition:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Then, using the points (0, -4) and (3, 1), we have:
[tex]m=\frac{1-(-4)_{}}{3-0}=\frac{5}{3}[/tex]So the slope of the line is 5/3.
a bit confusing to understand exactly. not so much on the math part, to get exactly what to compare.
77/125
Explanation:Probability of ordering sandwich that is either without cheese or is on sourdough bread = Probability of ordering a sandwich without cheese + probability of ordering a sourdough sandwich - probability of a sourdough sand wich without cheese
Sandwich without cheese = 425 + 700 = 1125
Sandwich with cheese = 800+ 1200 = 2000
Total of sandwich with or without cheese = 1125 + 2000 = 3125
Probability of ordering a sandwich without cheese = 1125/3125
Probability of ordering a sandwich without cheese = 9/25
ordering a sourdough sandwich = 800 + 425 = 1225
probability of ordering a sourdough sandwich = 1225/3125
probability of ordering a sourdough sandwich = 49/125
sourdough sandwich without cheese = 425
probability of a sourdough sandwich without cheese = 425/3125
probability of a sourdough sandwich without cheese = 17/125
Probability of ordering sandwich that is either without cheese or is on sourdough bread:
[tex]\begin{gathered} =\frac{9}{25}+\frac{49}{125}-\frac{17}{125} \\ =\text{ }\frac{5(9)+49-17}{125}=\frac{45+49-17}{125} \\ =\frac{77}{125} \end{gathered}[/tex]Find the zeros of each functions by factoring. F(x)=x^2+x–12
Answer
The zeros of the function exist at
x = -4 and x = 3
Explanation
We are told to find the zero of the function, that is, the roots of the function by factoring.
f(x) = x² + x - 12
At the points where the roots of the function are, it is the point where the graph of the function crosses the x-axis and f(x) = 0. So,
x² + x - 12 = 0
x² + 4x - 3x - 12 = 0
x (x + 4) - 3 (x + 4) = 0
(x + 4) (x - 3) = 0
x + 4 = 0 OR x - 3 = 0
x = -4 OR x = 3
Hope this Helps!!!
If an arithmetic sequence has terms a5 = 20 and a9 = 44, what is a15?
A.90
B.80
C.74
D.35
Based on the information given, it can be deduced that the value of the 15th term is B. 80.
In an arithmetic sequence., uₙ = a + (n-1)d
Given in the question,
[tex]a_{5}[/tex] = 20 , [tex]a_{9}[/tex] = 44
Using above formula
for [tex]a_{5}[/tex] => a + 4d = 20 ..... (i)
for [tex]a_{9}[/tex] => a + 8d = 44 ...... (ii)
Subtract (ii) from (i)
[tex]a + 8d = 44 \\- a - 4d = -20\\ -------\\ 0 + 4d = 24[/tex]
=> 4d = 24
=> d = 24/4
=> d = 6
Therefore, a will be:
a + 4d = 20 .......(i)
a + 4(6) = 20
a + 24 = 20
a = 20 - 24
a = -4
Therefore, the 15th term will be:
[tex]a_{15}[/tex] = a + (15 - 1)d
[tex]a_{15}[/tex] = a + 14d
[tex]a_{15}[/tex] = -4 + 14 x 6
[tex]a_{15}[/tex] = -4 + 14 x 6
[tex]a_{15}[/tex] = 14 x 6 - 4
[tex]a_{15}[/tex] = 80
The 15th term is 80.
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A box contains 52 Oz of oatmeal. I used 3 3/5 Oz for breakfast. What fraction of the cereal in the box did I use?
Multiplication equation:
Division equation:
9/130 part of cereal was used from the box of oatmeal.
Fraction of used cereal will be calculated using the formula -
Fraction = used amount of cereal/total amount of cereal
Converting used amount of cereal from mixed fraction to fraction
Used amount of cereal = (5×3 + 3)/5
Performing multiplication
Used amount of cereal = (15 + 3)/5
Performing addition
Used amount of cereal = 18/5
Calculating the fraction of cereal used
Fraction of cereal used = (18/5)/52
Fraction of cereal used = 18/(52×5)
Performing multiplication in denominator
Fraction of cereal used = 18/260
Simplifying the fraction
Fraction of cereal used = 9/130
Thus, the fraction of the cereal used is 9/130.
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There are many numbers which divide 109 with a remainder of 4. List all two-digit numbers that have that property
15, 21, and 35 are two-digit numbers that divide 109 with a remainder of 4. These are the only numbers by which 109 can be divided to yield a remainder of 4.
What is the Remainder?The remainder is the amount "left over" after performing some computation in mathematics. The remainder is the integer "left over" after dividing one integer by another to produce an integer quotient in arithmetic (integer division).
What are the division rules?RULE 1: A positive integer's quotient with a negative integer is negative. RULE 2: A positive integer is the quotient of two positive integers.
RULE 3: The product of two negative integers is a positive number. If the signs do not match, the answer is negative.
here 109 is dividend and 4 is remainder.
109–4=105.
105=3*5*7.
It is divided by,
3*5=15.
3*7=21.
5*7=35.
Thus, there are three 2 digit numbers 15,21,35 which divide 109 with 4 as remainder.
Two-digit numbers 15, 21, and 35 divide 109 with a remainder of 4. These are the only figures that can divide 109 to leave a remainder of 4.
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Find the surface area of the prism. 10 m Not drawn to scale b 600 m2 150 m2 280 m2 d 42 m2
Here, we have a rectangular prism.
Given:
Length, L = 10 m
Width, w = 6 m
Height, h = 5 m
Let's find the surface area of the rectangular prism.
To find the surface area of the rectangular prism, apply the formula below:
[tex]SA=2(wl+hl+hw)[/tex]Input values into the formula:
[tex]\begin{gathered} SA=2(6\ast10+5\ast10+5\ast6) \\ \\ SA=2(60+50+30) \\ \\ SA=2(140) \\ \\ SA=280 \\ \\ SA=280m^2 \end{gathered}[/tex]Therefore, the Surface Area of the rectangular prism is 280 square meters
ANSWER:
c. 280 m²
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The statements about the given graph can be evaluated as follows:
Line b represents a proportional relationship: False.The constant of proportionality of y to x in line a is 1/2: False.The ratio of y-coordinate to x-coordinate of one of the points on line b is 25:8: True.Line a passes through the point (1, 5/4), so the constant of proportionality is 5/4: True.How to determine the true statements?Generally speaking, the graph of any proportional relationship is primarily modeled by a straight line and starts from the origin (0, 0) because they all have a constant of proportionality.
Mathematically, a proportional relationship can be modeled by the following equation:
y = kx
Where:
k is the constant of proportionality, rate of change, or slope.y is the numbers on the y-coordinate.x is the numbers on the x-coordinate.In this scenario, we can reasonably infer and logically deduce that line b doesn't represent a proportional relationship because its numerical value does not start from the origin (0, 0).
Additionally, the constant of proportionality of y to x in line a is never equal to 1/2 but 1.25 as shown below:
Constant of proportionality, k = y/x
Constant of proportionality = 5/4 = 10/8 = 15/12 = 20/16 = 1.25
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A rocket is launched straight up. What is its velocity at the top of its flight?
If a rocket is launched straight up, then the velocity at the top of its flight will be zero.
Given that the rocket is launched straight up.
We are required to find the velocity which will the be at the top of its flight.
Velocity is basically the directional speed of a object in motion as an indication of its rate of change in position as observed from a particular frame of reference and measured by a particular standard of time.
At the top of flight its velocity becomes zero but not the acceleration because it is under the effect of gravitational acceleration.
Hence if a rocket is launched straight up, then the velocity at the top of its flight will be zero.
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An object falls from an airplane
that is flying at an altitude of
6400 ft. How many seconds later
will the object hit the ground? Use
the equation 16t2 = d, where d is
the distance in feet and f is the
time in seconds.
Answer:
t = 20 seconds
Step-by-step explanation:
The force of gravity upon an object results in that object accelerating at 16ft/s². By substituting 6400ft in the equation 16t² = d you get:
16t² = 6400
Next, isolate t by dividing both sides by 16
t² = 400
Now, solve for t by taking the square root of both sides
[tex]\sqrt{t^2} = \sqrt{400}[/tex]
t = 20
if g(x)=(x + 1), for what value of x will g(x)=3?A) 1B) 2C) 3D) 4
Given
[tex]g(x)=x+1[/tex]You need to calculate the value of x for g(x)=3, replace it in the equation as follows:
[tex]3=x+1[/tex]And calculate for x, to do so, you can pass the "+1" to the other side of the equal sign by performin the oposite operation "-1" to both sides:
[tex]\begin{gathered} 3-1=x+1-1 \\ 2=x \end{gathered}[/tex]For x=2 g(x)=3
(Please help. Will be marked brainliest) Make an x -> y table from the points on the graph at left. Then write a rule for the table.
Answer: The rule (based on the table below) is y=2x-5
The table would be as follows:
X Y
(-2 , -9)
(-1 , -7)
(0 , -5)
(1 , -3)
(2 , -1)
(3 , 1)
(4 , 3)
(5 , 5)
(6 , 7)
Therefore, the rule for this table & graph is y=2x-5
Step-by-step explanation: The solution is in the slope-intercept form y=mx+b
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A solid has volume 2 cubic units and surface area 10 square units. The solid is dilated, and the image has volume 128 cubic units. What is the surface area of the new solid?
In this type of problem. You need to determine first the unit dimension..
The dimension of the volume is in cubic so the unit dimension will be the cube root the volume:
Let u = unit dimension
[tex]u=\sqrt[3]{V}[/tex]So we now have the unit dimension, dilating it with a scale factor of k will give as a new volume. Since it is a unit dimension, you need to take the cube of it so you will arrive with the new volume.
So the new volume will be :
[tex]V_{\text{new}}=(uk)^3[/tex]or just simply :
[tex]V_{\text{new}}=(k\sqrt[^{}3]{V})^3[/tex][tex]k=\frac{\sqrt[3]{V_{\text{new}}}}{\sqrt[3]{V}}=\sqrt[3]{\frac{V_{new}}{V}}[/tex]Solving for the scale factor k :
[tex]k=\sqrt[3]{\frac{128}{2}}=\sqrt[3]{64}=4[/tex]So now we have the scale factor of k = 4
Now for the Surface Area , the dimension of it is in square units, so the unit dimension will be the square root of the surface area :
It has almost the same formula for k, but the difference is only the cube root or the square root.
So we can state that the New surface area will be :
[tex]SA_{\text{new}}=(k\sqrt[]{SA})^2[/tex]Solving for the New surface area :
[tex]SA_{\text{new}}=(4\sqrt[]{10})^2=160[/tex]So the answer is 160 square units.
zoom in8 Solve each of the following equations. Enter your final answer. All fractions must be simplified. Do not convertisersto decimals. Show your check stop for each be. 12 pts each)5 2.+13 - 336 6+y=1878910- 13 27ett
2n + 13 = 33
To solve this question, let's follow the steps below
step 1: subtract 13 from both sides
2n + 13 - 13 = 33 -13
2n = 20
step 2: divide both sides by 2
n = 20/2
n= 10
The diameter of a circle is 19 ft. Find the circumference to the nearest tenth. Answer: Ca ft Submit Answer
Answer
The circumference of the circle is 59.7 ft
Explanation
The diameter of the circle = 19ft
The circumference of a circle = 2 x pi x r
Where r = radius
Radius = Diameter / 2
Radius = 19 / 2
Radius = 9.5 ft
Circumference = 2 x pi x r
pi = 3.14
Circumference = 2 x 3.14 x 9.5
Circumference = 59.7 ft
Therefore, the circumference of the circle is 59.7 ft
In a pet store, there are 8 puppies, 10 kittens and 6 parakeets. If a pet is chosen at random, what is the probability of choosing a puppy or a kitten?1234144
FORMULAS
If A and B are any events then:
[tex]P\mleft(AorB\mright)=P\mleft(A\mright)+P\mleft(B\mright)-P\mleft(AandB\mright)[/tex]If A and B are mutually exclusive events then P(A and B) = 0, so then:
[tex]P\mleft(A\text{ }or\text{ }B\mright)=P\mleft(A\mright)+P\mleft(B\mright)[/tex]The probability of an event happening is given to be:
[tex]P=\frac{\text{Number of required events}}{Number\text{ of total events}}[/tex]SOLUTION STEPS
The total number of pets in the store is calculated to be:
[tex]Total=8+10+6=24[/tex]The probability of picking a puppy is:
[tex]P(p)=\frac{8}{24}[/tex]The probability of picking a kitten is:
[tex]P(k)=\frac{10}{24}[/tex]Therefore, the probability of choosing a puppy or a kitten is gotten to be:
[tex]P(p\text{ }or\text{ }k)=\frac{8}{24}+\frac{10}{24}=\frac{18}{24}=\frac{3}{4}[/tex]ANSWER
The probability is 3/4 or 0.75.
Tommy wishes to retire at the age of 67 with $95,000 in savings. Determine the monthly payment into an IRA if the APR is 6.8% and he begins making payments at:Step 1: 25 years oldThe next part is finding the answer for 35 years old
Step 1
State the annuity formula
[tex]A=\frac{P[(1+\frac{r}{n})^{nt}-1]}{\frac{r}{n}}[/tex]where;
[tex]\begin{gathered} P=? \\ r=6.8\text{\%=}\frac{6.8}{100}=0.068 \\ n=12 \\ t=67-25=42 \\ A=\text{ \$95000} \end{gathered}[/tex]Step 2
Find the monthly payment from 25 years old
[tex]95000=\frac{P[(1+\frac{0.068}{12})^{42\times12}-1]}{\frac{0.068}{12}}[/tex][tex]\begin{gathered} \frac{0.068P\left[\left(1+\frac{0.068}{12}\right)^{42\times \:12}-1\right]}{\frac{0.068}{12}}=95000\times \:0.068 \\ 195.02614P=6460 \\ \frac{195.02614P}{195.02614}=\frac{6460}{195.02614} \\ P=33.1237639 \\ P\approx\text{ \$}33.12 \end{gathered}[/tex]Step 3
Find the monthly payment from 35 years old
[tex]\begin{gathered} 95000=\frac{P[(1+\frac{0.068}{12})^{32\times12}-1]}{\frac{0.068}{12}} \\ n=67-35=32 \\ \frac{P\left[\left(1+\frac{0.068}{12}\right)^{32\times \:12}-1\right]}{\frac{0.068}{12}}=95000 \\ \frac{0.068P\left[\left(1+\frac{0.068}{12}\right)^{32\times \:12}-1\right]}{\frac{0.068}{12}}=95000\times \:0.068 \\ 93.08447P=6460 \\ P=69.39933 \\ P=\text{\$69.40} \end{gathered}[/tex]Answer;
[tex]\text{ \$69.40}[/tex]Your grandmother gives you $1500 to invest in a savings account on your 15th birthday. The only condition is that you may NOT use it until you have graduated high school at 18. After researching savings accounts, you come up with two options.1) A high interest savings account, with 2.5% simple interest annually or2) A High Yield Savings account with 2% interest compounded annually.Which account will you chose and why?
.Explanation.
To determine the best account to choose, we will have to check for the amount each account will yield
For the first account, with 2.5% simple interest annually
To find how much this account will yield at 2.5% simple interest annually, we will use the formula
[tex]A=P+\frac{P\times R\times T}{100}[/tex]Where
[tex]\begin{gathered} p=\text{ \$1500} \\ r=2.5\text{ \%} \\ t=18-15=3years \end{gathered}[/tex]Thus, the first account will yield
[tex]\begin{gathered} A=1500+\frac{1500\times2.5\times3}{100} \\ \\ A=1500+15\times7.5 \\ A=1500+112.5 \\ A=\text{ \$1612.5} \end{gathered}[/tex]For the second account with 2% interest compounded annually
[tex]\begin{gathered} A=P(1+\frac{r}{100})^t \\ where \\ P=1500 \\ r=2\text{ \%} \\ t=3 \end{gathered}[/tex]Thus the account will yield
[tex]\begin{gathered} A=1500(1+\frac{2}{100})^3 \\ A=1500(1.0612) \\ A=\text{ \$}1591.81 \end{gathered}[/tex]We can see that the first account with 2.5% simple interest annually yields $1612.50 and
The second account with 2% interest compounded annually yields $1591.81
The difference in the accounts will be
[tex]\text{ \$}1612.50-\text{ \$}1591.81=\text{ \$20.69}[/tex]Thus, I will choose the first account with 2.5% simple interest annually, because it yields $20.69 more than the second account after 3 years
Math questions! Urgent help!!!
Answer:
Question 3
d. No, because the TV is too tall
Question 4
b. 77
Step-by-step explanation:
Question 3
The TV diagonal is 80"
Let W be the width of the TV, H the height
Because the aspect ratio W/H = 4/3, the height is less than the width and H = 3/4W
The diagonal of the TV can be determined by the Pythagorean formula
[tex]D = \sqrt{W^2 + H^2}[/tex]
Express H in terms of W
[tex]D = \sqrt{W^2 + \left(\dfrac{3}{4}W\right)^2}\\\\\\= \sqrt{W^2 + \dfrac{9}{16}W^2}\\\\= \sqrt{\dfrac{25}{16}W^2}\\\\= \dfrac{5}{4}W\\\\We are given that D = 80"\\\\So \dfrac{5}{4}W = 80"\\\\W = \dfrac{4}{5} \times 80 = 64"\\\\The height is given by \dfrac{3}{4}W =\dfrac{3}{4} \times 64 = 48"\\\\[/tex]
The height of the available area is only 47" so the TV wont fit. The width appears OK though it will be a tight fit since width of TV and width of area are both 64"
Question 4
Note: All percentages converted to decimals first by dividing by 100
Average of 3 tests = (86 + 78 + 40)/3 = 68
Weighted average= 68 x 0.45 = 30.6
Average of 4 quizzes = (96 + 91 + 94 + 99) = 95
Weighted Average = 95 x 0.20 = 19
Classwork Average = 95
Weighted Average = 95 x 0.05 = 4.75
Final Exam = 76
Weighted value = 76 x 0.30 = 22.5
Total Weighted Score = 30.6 + 19 + 4.75 + 22.5 = 76.85 which rounded to the nearest integer is 77
Answer is b,
Hey help me out pls I would love if you did
Firstly, we would find the fractional part of the circle and then express it as a percentage.
The circle has 4 sub-divisions and a part of it is shaded. Thus, the fractional part of the shaded area is:
[tex]\frac{1}{4}[/tex]Expressing this as percentage, we have:
[tex]\frac{1}{4}\times100=25\text{\%}[/tex]Hence, the percentage represented by the shaded area is 25%
12. Complete the missing values by writing the equivalent percent.
Notice that every line represents 1/10. Thereby, the blanks to fill would be:
[tex]\begin{gathered} \frac{2}{10}\rightarrow\frac{1}{5} \\ \frac{4}{10}\rightarrow\frac{2}{5} \\ \frac{6}{10}\rightarrow\frac{3}{5} \\ \frac{8}{10}\rightarrow\frac{4}{5} \\ \end{gathered}[/tex]Thereby,
A piece of land is in the shape of a rectangle. What is the ratio of the length to the width?
Answer: A: 3-5
Step-by-step explanation:
multiply each by their respective ratios, 120*3=360, and 72*3=360
which of the following statements have the same result? explain each step in solving each one. 1. f(3) when f(x)=2x+32. f^-1(3) when f(x)=2x-9/33. 5y+13=4y+4(10 points)
Let's find the inverse function:
1. replace f(x) with y
[tex]y=\frac{2x-9}{3}[/tex]2. Replace every x with a y and every y with an x:
[tex]x=\frac{2y-9}{3}[/tex]3. solve for y:
[tex]y=\frac{3x+9}{2}[/tex]4. replace y with f^-1(x)
[tex]f^{-1}(x)=\frac{3x+9}{2}[/tex]Now:
[tex]f^{-1}(3)=\frac{3(3)+9}{2}=\frac{9+9}{2}=\frac{18}{2}=9[/tex]since the functions are equal for x = 3 we can conclude that they have the same result
[tex]f(3)=f^{-1}(3)[/tex]6)What is the frequency of the 4th class?POINTSOut OF37)How many dogs were weighed?8)What is the midpoint of the 4th class?6)What is the frequency of the 4th class?POINTSOut OF37)How many dogs were weighed?8)What is the midpoint of the 4th class?
The first question 6) requires us to see how many "events" lies in the 4th class, which is 35 in this case. Then the answer for 6) is 35.
Next, we have to sum the all heights of the rectangles, which are the total dogs weighed as follows:
[tex]total\text{ dogs}=5+15+24+35+16+6+4=105[/tex]Hence the answer for 7) is 105
Finally, the midpoint of a class is the half of the x-coordinate. The 4th class is for dogs which weight between 30 and 39, so:
[tex]midpoint=\frac{30+39}{2}=34.5[/tex]Then the answer for 8) is 34.5
Estimate 93+ 31 by first rounding each number to the nearest ten.
Answer:
To estimate 93+31 by first rounding number to the nearest ten.
Solving 93+31, we get
[tex]93+31=124[/tex]Explanation:
Simply put, when you have a number and you want to round to the nearest tens, this means that you will need to find which 10 they are nearest to. For example, if you think about the number 53, you can easily say that it is near 50 than it is near 60. So the rounded number of 53 nearest to ten is 50.
Here, the number is 124
Rounding the number to the nearest ten.
[tex]124\approx120[/tex]Answer is: 120.
the unit price 50 oz at $4
Answer:
Each ounce cost .08
Step-by-step explanation:
4/50
I really need help on this, I don't get it at all. I need help on all of them
The if-then statement can be called a conditional statement.
In an If-then statement, the part attached to the if is the hypothesis while the part attached to then is the conclusion.
Therefore, we have the following:
• If it is January, then there is snow.
Hypothesis: If it is January
Conclusion: there is snow
Rewite the statement:
A straight angle has a measure of 180 degrees.
If an angle is straight, then it has a measure of 180 degrees.
What is the solution to the equation 9k = 40.5?k = 4k = 5k = 4.25k = 4.5
Given:
9k = 40.5
We are to find the solution of the equation:
9k = 40.5
Let's make k subject of formula by dividing both sides by 9
9k/9 = 40.5/9
the 9 cancels out on the left hand side
k = 40.5/9
k = 4.5
Therefore, the solution to the equation 9k = 40.5 is 4.5
S
