Answers
Answer:
C
Step-by-step explanation:
Take the price of the item( in this case it’s 129) and multiply it by .075 ( you have to multiply the sales tax by .01)
Related Questions
IT’S TIMED NEED HELP ASAP! If you don’t know please don’t answer
Answers
Answer:
12.2 or 12 2/9
Step-by-step explanation:
You set them equal to each other and solve
Answer:
x = 12
Step-by-step explanation:
We know that LM and RS are the same because of they have the same mark, we can make a algebraic equation:
9x + 27 = 135
9x = 108
x = 12
Which expression is equivalent to13 p + 15? Btw happy almost halloween
Answers
Answer:
13
Step-by-step explanation:
13p + 15
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of \(ax^{n}\) is \(nax^{n} ^{-1}\)
\(13p^{1-1}\)
subtract 1 from 1
\(13p^{0}\)
For any term t except 0, \(t^{0}\) = 1
13 × 1
For ant term t, t × 1 = t and 1t = t
13
PS: Happy Almost Halloween too =)
.
ASAP PLEASE
Determine all real values of a.
a2 = 196
a = ±98
a = 98
a = ±14
a = 14
Answers
The real value of a in the equation is a = ±14.
How to solve equations?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
Therefore, let's find the real values of a in the equation below:
a² = 196
The variable in the equation is a. A variable is a number represented with a letter in an equation.
Therefore,
a² = 196
square root both sides of the equation
√a² = √196
Hence,
a = -14 or a = 14
Therefore,
a = ±14
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The ratio of smartphone to table sold at a store is 6:5. If 35 table are sold on Wednesday, how many smartphone were sold?
Answers
Answer:
Explanation:
The ratio of smartphones to table sold = 6 : 5.
The number of tables sold = 35
Let the number of smartphones = x
Then:
\(undefined\)The velocity as a function of time for an asteroid in the asteroid belt is given by v(t)=v0e−t/t^+2tvt^ where v0 and t0 are constants. these questions do not have to be answered in the order in which they are asked (it may be easier to answer them in a different order). The values for the constants that you will use are: v0=2 m/st0=336 s Displacement Average x Component of the Velocity Magnitude of Average Acceleration Final Speed Find the speed of the asteroid at the final time. v(ff)=
Answers
The speed of the asteroid at the final time is infinity.
Given, the velocity as a function of time for an asteroid in the asteroid belt is given by: v(t) = v0 * e^(-t/t0) + 2t * v0
Here, v0 and t0 are constants.
Now, let's find the velocity at final time by substituting the given values:
v(t) = v0 * e^(-t/t0) + 2t * v0v(t) = 2 * e^(-t/336) + 2t * 2m/s
t(t0 = 336 seconds and v0 = 2 m/s)
Now, let's find the velocity at the final time i.e v(ff)
v(ff) = v(∞) = 2 * e^(-∞/336) + 2 * ∞ * 2 m/s = 0 + ∞ = ∞
Thus, the speed of the asteroid at the final time is infinity.
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The school budget for e-readers was $40,000 in 2014. The budget for 2015 was 20% less than the budget for 2014. What was the school budget for e-readers in 2015?
Answers
Answer: 32000
Step-by-step explanation: 40000 x 80% because you still have 80 percent of that budget so you minus 20 for 100.
What's the numerator for the following rational
expression? 2/f+4/f=?/f
Answers
The numerator for the rational expression is 6
How to find the numerator for the rational expression?Let us assume the value of numerator to be x
\(\frac{2}{f} +\frac{4}{f} = \frac{x}{f}\)
Since these are fractions with same denominators (like fractions),
\(= > \frac{2}{f} +\frac{4}{f} \\\\ = \frac{2 +4}{f}\\\\= \frac{6}{f}\)
x = 6
The numerator for the rational expression is 6
What are fractions?Fractions are used to depict the components of a whole or group of items. Two components make up a fraction. The numerator is the number that appears at the top of the line.It indicates how many equally sized pieces of the entire thing or collection were removed. The denominator is the quantity listed below the line. The total number of identical objects in a collection or the total number of equal sections that the whole is divided into are both displayed.The number of parts we take makes up a fraction when the whole is divided into equal parts.Fractions with same denominators are called like fractions.To learn more about fractions, refer:
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Consider Z~N(0,1) Which ofthe following statements are true? Select all that apply: For 2 < 0; P(Z < 2) < 030 P(Z < 0) = 0.50 P(Z > 0) = 0.0 For z > 0,P(Z < 2) < 0.50 For z > 0; P(Z < 2)>050 P(Z > 0) = P(Z < 0) =0 For z < 0, P(Z < 2)>050 QUESTION Consider the pth percentile of continuous random variable. Which of the following statements are alwvays true? Select all that apply: The area under the curve to the left of the pth percentile is equal to p The area under the curve to the left of the pth percentile is equal to (1-p) The area under the curve to the right ofthe pth percentile is equal to (I-P) The area under the curve to the right of the pth percentile is equal to p The pth percentile is positive_
Answers
The true statements are:
The area under the curve to the left of the pth percentile is equal to p
The area under the curve to the right of the pth percentile is equal to (1-P)
For the first set of statements regarding the standard normal distribution:
1. For z < 0; P(Z < 2) < 0
- This statement is true. Since z < 0, the probability of Z being less than 2 (a positive value) is less than 0.
2. P(Z < 0) = 0.50
- This statement is true. For the standard normal distribution, the probability of Z being less than 0 is 0.50 or 50%.
3. P(Z > 0) = 0.0
- This statement is false. The probability of Z being greater than 0 is not 0.0 but rather 0.50 or 50%.
4. For z > 0, P(Z < 2) < 0.50
- This statement is true. When z is positive, the probability of Z being less than 2 is less than 0.50.
5. For z > 0, P(Z < 2) > 0.50
- This statement is false. When z is positive, the probability of Z being less than 2 is always less than 0.50.
6. P(Z > 0) = P(Z < 0) = 0
- This statement is false. The probability of Z being greater than 0 and less than 0 is both 0.50 or 50%.
Therefore, the true statements are:
- For z < 0; P(Z < 2) < 0
- P(Z < 0) = 0.50
- For z > 0, P(Z < 2) < 0.50
For the second set of statements regarding the pth percentile of a continuous random variable:
1. The area under the curve to the left of the pth percentile is equal to p
- This statement is true. The pth percentile represents the value below which a certain percentage (p) of the data falls.
2. The area under the curve to the left of the pth percentile is equal to (1-p)
- This statement is false. The area to the left of the pth percentile is equal to p, not (1-p).
3. The area under the curve to the right of the pth percentile is equal to (1-P)
- This statement is true. The area to the right of the pth percentile is equal to (1 - p).
4. The area under the curve to the right of the pth percentile is equal to p
- This statement is false. The area to the right of the pth percentile is equal to (1 - p), not p.
5. The pth percentile is positive
- This statement's validity depends on the specific distribution being considered. The pth percentile could be positive, negative, or zero, depending on the distribution.
Therefore, the true statements are:
- The area under the curve to the left of the pth percentile is equal to p
- The area under the curve to the right of the pth percentile is equal to (1-P)
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PLEASE HELP!!!!! ASAP
Answers
Answer:
y = -x + 30
Step-by-step explanation:
You will want to put the equation in the form y = mx + b where m is the slope and b is the y-intercept (an example is y = 2x - 1).
First, to find the slope you want to find how much x goes up by when y goes up by 1. You know from the table that when y goes up by 5, x goes up by -5 (using the points (10, 20) and (5, 25))
Then, you can divide each value by 5, so it would be when y goes up by 1, x goes up by -1. That means the slope is -1.
So far, the equation is y = -x + b. To find b, you can plug in one of the points you have and solve for b. For example, substitute in x = 10 and y = 20, so:
20 = -10 + b
add 10 to both sides
30 = b
So you know the equation is y = -x + 30
Please let me know if any parts of these explanation are confusing, I definitely think this concept can be confusing at time. Good luck with your work! :)
Answer:
To create an equation, you need to find the slope first. The slope formula is \(\frac{y^2-y^1}{x^2-x^1}\). Let's use two random coordinates: (10,20) and (5,25). Plug in these digits into the formula to get \(\frac{25-20}{5-10}\). Simplify to get \(\frac{5}{-5}\) or -1. The equation would look like y=-x+b. Now we need to find b. Again, let's use a random coordinate: (10,20). Plug in the digits into the variables to get 20=-10+b. Add 10 on both sides to get 30=b. So, the equation would be y=-x+30.
Painting with a Twist
offers painting classes.
They charge a supply fee
of $20 and a studio fee
of $8 per hour. If Kara
budgets $60 for painting
classes, then how many
hours can she paint?
Answers
explanation:
whats the unit rate of $1.99 and 16 lb??
Answers
Answer:
2 to 1
Step-by-step explanation:
Linear Programming: Suppose you plan to go out for a picnic during spring break. You plan to bring sandwiches, fruits, and drinks. But you only have one picnic basket that can only hold a certain capacity. Each of the items has a value and a size, and you cannot hold all your items in the basket. The picnic basket can hold a total size of 17. Given that the size and the value of items are as follows, how many of each item should you bring to maximize the total value? Size Value Sandwich 6 9 Fruit 3 8
Drink 4 6 a) List and explain carefully what the decision variables are. (1 point)
b) Write out the objective function. (2 point)
c) Write out the constraints. (2 point)
d) Write the linear program. (1 points)
e) Solve the Linear Programming problem using excel. Show your results. (2 points)
Answers
a) x represent the number of sandwiches, y represent the number of fruits, z represent the number of drinks.
b) Function: Maximize 9x + 8y + 6z
c) 6x + 3y + 4z <= 17
d) Linear program is x, y, z >= 0
e) .Add a row for the constraints and set up the equations accordingly.
5.Use the Solver tool in Excel to find the optimal solution. Set the objective cell to the total value cell and choose the appropriate constraints.
The solution show the optimal values for x, y, and z, the maximum total value achieved.
Let x be the number of sandwiches to bring.
Let y be the number of fruits to bring.
Let z be the number of drinks to bring.
To maximize the total value,
Maximize: 9x + 8y + vz (v is the value per drink)
Subject to the following constraints:
6x + 3y + sz ≤ 17
x ≥ 0 (Non-negativity constraint for sandwiches)
y ≥ 0 (Non-negativity constraint for fruits)
z ≥ 0 (Non-negativity constraint for drinks)
a) The decision variables in this problem represent the quantities of each item to be brought to the picnic.
Let x represent the number of sandwiches.
Let y represent the number of fruits.
Let z represent the number of drinks.
b) The objective function is the function to maximize or minimize. To maximize the total value of the items brought to the picnic. The objective function is given by:
Objective Function: Maximize 9x + 8y + 6z
c) The constraints define the limitations or restrictions on the decision variables:
The total size of items (sandwiches, fruits, and drinks) exceed the capacity of the picnic basket, which is 17. Therefore, the constraint is:
6x + 3y + 4z <= 17
d) Writing the linear program:
Maximize: 9x + 8y + 6z
Subject to: 6x + 3y + 4z <= 17
x, y, z >= 0
e) To solve the linear programming problem using Excel:
1.Open Excel and create a new spreadsheet.
2.Set up the following columns: Variables (x, y, z), Objective Function (9, 8, 6), Constraints (6, 3, 4, 17), and Solution.
3.Enter the coefficients for the objective function, constraints, and the right-hand side values in the respective cells.
4.Add a row for the constraints and set up the equations accordingly.
5.Use the Solver tool in Excel to find the optimal solution. Set the objective cell to the total value cell and choose the appropriate constraints.
6.Run the Solver to obtain the optimal values for x, y, and z.
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∠A=(4x−28)
∘
and m\angle B=(x-2)^{\circ}∠B=(x−2)
∘
, then find the measure of \angle A∠A.
Answers
The value of a bank account, B, after x years is represented by the equation B = 1000(1+.014)x. To the nearest penny, how much is the account worth after 15 years?
Answers
Answer:
1232 penny
Step-by-step explanation:
Given the value of a bank account, B, after x years is represented by the equation B = 1000(1+.014)^x.
To determine the account worth after 15 years, we will substitute x = 15 into the expression as shown;
B = 1000(1+.014)^x.
B = 1000(1+.014)^15
B = 1000(1.014)^15
B = 1000(1.2319)
B = 1231.9penny
Hence the value after 15years is 1232 penny (to the nearest penny)
The critical value, or z*, that is used to construct a confidence interval for a proportion depends upon? A. the confidence level. B. the sample size.C. the confidence level and the sample size. D. the sample size and the sample proportion. E. the confidence level, the sample size, and the sample proportion.
Answers
The critical value that is used to construct a confidence interval for a proportion depends upon C. the confidence level and the sample size.
The critical value used to construct the confidence interval for proportion depends on:
1) The sample size:
The probability changes as the sample size changes as the distribution of the test statistics is dependent on sample size, thus the critical value will depend on sample size.
2) The confidence level:
The critical value is always calculated by using the confidence level, so it is dependent on it.
The sample proportion is the observed value which is used to perform the test, but not to construct the critical value.
Thus the correct option is:
Option C: The confidence level and sample size.
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heyyy pretty pls help im lsot rn i dont understand
Answers
Answer:
52ft
Step-by-step explanation:
You divide the box in 2 pieces and multiply the numbers by the separate boxes that you made, then you add them.
5x2= 10
8-2= 6 -----> 7x6= 42
10 + 42 = 52
Answer: The first box is 56 The second box is 4 and the last is 52
Step-by-step explanation: The total area of the full rectangle is 8×7=56
The area of the small cut out portion is 2×2=4
The area of the remaining figure is 56-4=52
w-26=7, Solve this please? Thanks-
Answers
Answer:
add 26 to 7 and there is your anwser
Answer:
34
Step-by-step explanation: 26 + 7 = 34 so w = 34
does anyone know to do how do this 6x^0y^8-(2y^2)^4?
Answers
Answer:
4y⁸
Step-by-step explanation:
6x⁰y⁸-(2y²)⁴
x⁰=1 and
power product rule for (2y²)⁴ = 2y²ˣ⁴ = 2y⁸
6y⁸- 2y⁸
4y⁸
The simplified form of the given expression is \(-10y^{8}\).
The given expression is \(6x^{0}y^{8}-(2y^{2} )^{4}\).
We need to solve the given expression.
How to solve the exponent expression?Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor.
The exponential expression can be solved using basic exponent rules:
1) \((a^{m})^{n}=a^{mn}\)
2) \(a^{0}=1\)
Now, \(6\times 1\times y^{8}-(2y^{2} )^{4}\)
=\(6y^{8}-16y^{8} =-10y^{8}\)
Therefore, the simplified form of the given expression is \(-10y^{8}\).
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what is the answer??
Answers
Answer:
10a²+5ab+2b²
Step-by-step explanation:
Start by combining like terms aka the ones that match:
Step 1: (4a²-5ab-6b²) + (10ab+6a²+8b²)
Step 2: (10a²-5ab-6b²) + (10ab+8b²)
Step 3: (10a²+5ab-6b²+8b²)
Final answer: 10a²+5ab+2b²
In step 1, I added the 4 and 6. In step 2, I added -5 and 10. In step 3, I added -6 and 8. For each I attached the proper ending (a², ab, and b²).
I hope this clears some confusion!
Simplify the expression 5(a-2)
Answers
Answer:
5a-10
Step-by-step explanation:
5(a-2)
5a+5×-2
5a-10
Learning task 1: Conduct a survey of the favorite fruit of your classmates and/or friends 10 boys and 10 girls by sending a message on messenger or sms use the table to record the data.
help me pls
nonsense=report
nice answer=brainles
pls dont waste my points
Answers
1. Type of favourite fruits
The rest you need the data for .
Please Help me. Please answer with a valid answer. Thank you.
A perpendicular bisector is a line that;
Is perpendicular to the given segment
And and contains the midpoint of the given segment.Based on these conditions, which of the following shows the perpendicular bisector of AB?
Answers
Scarlett always adds on a 20% tip when she eats at a restaurant.
Find the price before the tip when she paid:
a) £36
b
£60
c) £78
Answers
Answer:
a)£30
b)£50
c)£65
Step-by-step explanation:
a) £36=120%
10%=£3
100%=£30
b) £60=120%
10%=£5
100%=£50
c)£78=120%
10%=£6.5
100%=£65
hope this helps, please can i get brainliest.
Answer: a) £30
b) £50
c) £65
Step-by-step explanation: To find the price before the tip, we need to divide the total amount by 1.20. This is because 20% is equal to 0.20, and 1 + 0.20 = 1.20.
For option (a), £36 / 1.20 = £30.
For option (b), £60 / 1.20 = £50.
For option (c), £78 / 1.20 = £65.
Therefore, the price before the tip was £30 when Scarlett paid £36, £50 when she paid £60, and £65 when she paid £78.
help me find x please
Answers
Answer:
25
Step-by-step explanation:
You need to reverse the operations given that 60 is equal to (2x+10)
so first you would subtract 10 from 60 that would equal 50. that divide by two to get 25.
Answer:
x=25
Step-by-step explanation:
60=2x+10
subtract 10 from both sides
50=2x
50/2 = 25
25=x
help me please 106.4 + 10³ =
Answers
Answer:
1106.4.
Step-by-step explanation:
10*3 = 1000
106.4 + 1000
= 1106.4.
Answer: 1106.4
Step-by-step explanation:
\(106.4+10^3=\\106.4+10*10*10=\\106.4+1000=\\1106.4\)
two chicken coops are to be built adjacent to one another using 120 ft of fencing. what is the maximum area of an individual coop?
Answers
The maximum area of an individual coop to be built adjacent to one another is 450 ft².
Let the length of each chicken coop be l ft and the width of each chicken coop be w ft. Since the coops are built adjacent to each other, hence,
total length = l + l = 2l and the width = w
The perimeter of the coop = 2(length + width) = 2(2l + w) = 4l + 2w
120 = 4l + 2w
w + 2l = 60
w = 60 - 2l (1)
The area (A) = length x width
= 2l x w
= 2l(60 - 2l)
Area = 120l - 4l²
At maximum area, dA/dl = 0, therefore:
dA/dl = 120 - 8l
120 - 8l = 0
8l = 120
length = 15 ft
putting l = 21 ft in equation 1 gives:
w = 60 - 2(15)
= 60 - 30
width = 30 ft.
The dimension of the individual coop has width of 30 ft and length of 15 ft.
Therefor, Area = length x width = 30 x 15 = 450 ft².
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Find an equation of the circle whose diameter has endpoints (3, 1, and (-6, 1
(Urgent)
Answers
The equation of the circle with the given diameter endpoints is:
x^2 + 3x + y^2 - 2y - 89/4 = 0
To find the equation of the circle whose diameter has endpoints (3, 1) and (-6, 1), we can use the midpoint formula and the distance formula.
The midpoint formula gives us the coordinates of the center of the circle, which is the midpoint of the diameter. Let's calculate the midpoint:
Midpoint \((x, y) = ((x_1 + x_2) / 2, (y_1 + y_2) / 2)\)
Substituting the coordinates of the endpoints into the formula:
Midpoint (x, y) = ((3 + (-6)) / 2, (1 + 1) / 2)
Midpoint (x, y) = (-3/2, 1)
So, the center of the circle is at (-3/2, 1).
Next, we need to find the radius of the circle, which is half the length of the diameter. We can use the distance formula to calculate the diameter:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Substituting the coordinates of the endpoints into the formula:
Diameter = sqrt((-6 - 3)^2 + (1 - 1)^2)
Diameter = sqrt((-9)^2 + (0)^2)
Diameter = sqrt(81 + 0)
Diameter = sqrt(81)
Diameter = 9
The diameter of the circle is 9 units, so the radius is half of that, which is 4.5 units.
Now, we have the center of the circle (-3/2, 1) and the radius 4.5 units. We can write the equation of the circle in the form:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center of the circle and r is the radius.
Substituting the values:
(x - (-3/2))^2 + (y - 1)^2 = (4.5)^2
(x + 3/2)^2 + (y - 1)^2 = 20.25
Expanding and simplifying the equation:
(x + 3/2)(x + 3/2) + (y - 1)(y - 1) = 20.25
x^2 + 3x/2 + 3x/2 + (9/4) + y^2 - y - y + 1 = 20.25
x^2 + 3x + 9/4 + y^2 - 2y + 1 = 20.25
x^2 + 3x + y^2 - 2y + 9/4 + 1 - 20.25 = 0
x^2 + 3x + y^2 - 2y - 20.25 + 9/4 + 4/4 - 81/4 = 0
x^2 + 3x + y^2 - 2y - 89/4 = 0
Therefore, x2 + 3x + y2 - 2y - 89/4 = 0 is the equation for the circle with the specified diameter endpoints.
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The shape is composed of three squares and two semicircles. Select all the expressions that correctly calculate the perimeter of the shape.
Answers
The expression that correctly calculates the perimeter of the shape is given as follows:
P = 2(6s + πr).
In which:
s is the side length of the square.r is the radius of the semicircle.How to obtain the perimeter of the square?The perimeter of a square of side length s is given as follows:
P = 4s.
Hence, for three squares, the perimeter is given as follows:
P = 3 x 4s
P = 12s.
How to obtain the perimeter of a semi-circle?The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:
C = πr.
Hence the perimeter of two semicircles is given as follows:
C = 2πr.
How to obtain the perimeter of the shape?The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:
P = 12s + 2πr.
P = 2(6s + πr).
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[ 7 11] [12 4 5 ]
Find C =AB, if A = [2 9] B = [3 6 1]
[ 10 6]
Answers
The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.
Let's calculate the matrix product C = AB step by step:
Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.
In this case, both matrices satisfy this condition, so the product C = AB is defined.
Calculating AB:
AB = [23 + 912 26 + 94 21 + 95]
[103 + 612 106 + 64 101 + 65]
Simplifying the calculations:
AB = [6 + 108 12 + 36 2 + 45]
[30 + 72 60 + 24 10 + 30]
AB = [114 48 47]
[102 84 40]
Therefore, the product C = AB is:
C = [114 48 47]
[102 84 40]
In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:
C = [114 48 47]
[102 84 40]
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A bag contains​ red, green, and blue marbles. One dash fourth of the marbles are​ red, there are one half as many blue marbles as green​ marbles, and there are 6 fewer red marbles than green marbles. Determine the number of marbles in the bag in these two approaches.
Answers
The bag contains a total of r + g + b = 18 + 24 + 12 = 54 marbles.
The bag contains a total of r + g + b = 18 + 12 + 6 = 36 marbles.
Let's denote the number of red, green, and blue marbles by r, g, and b, respectively.
The following information:
r = 1/4(r + g + b) (one-fourth of the marbles are red)
b = 1/2 g (there are half as many blue marbles as green marbles)
r = g - 6 (there are 6 fewer red marbles than green marbles)
These equations to form a system of equations and solve for the values of r, g, and b.
Here's one approach:
First, we can simplify the equation r = 1/4(r + g + b) by multiplying both sides by 4 to get:
4r = r + g + b
Then, we can substitute b = 1/2 g and r = g - 6 into the above equation to get:
4(g - 6) = (g - 6) + g + (1/2)g
Simplifying and solving for g, we get:
g = 24
Using this value of g, we can find the values of r and b as follows:
r = g - 6 = 18
b = 1/2 g = 12
The bag contains a total of r + g + b = 18 + 24 + 12 = 54 marbles.
Alternatively, we can use a slightly different approach:
We know that the fraction of red marbles is 1/4 of the total number of marbles, so we can write:
r = (1/4)(r + g + b)
Multiplying both sides by 4, we get:
4r = r + g + b
Subtracting r from both sides, we get:
3r = g + b
We also know that there are half as many blue marbles as green
marbles, so we can write:
b = (1/2)g
Substituting b = (1/2)g into the above equation, we get:
3r = (3/2)g
Multiplying both sides by 2/3, we get:
g = (2/3)r
We also know that there are 6 fewer red marbles than green marbles, so we can write:
r = g - 6
Substituting g = (2/3)r into the above equation, we get:
r = (2/3)r - 6
Solving for r, we get:
r = 18
Using this value of r, we can find the values of g and b as before:
g = (2/3)r = 12
b = (1/2)g = 6
The bag contains a total of r + g + b = 18 + 12 + 6 = 36 marbles.
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