PLEASE HELP
.............
its do now

Answer:

y = 3x + 11

Step-by-step explanation:

Substitute the information into the point-slope form equation.

Point-slope form: y - y₁ = m(x - x₁)

y - 2 = 3(x - (-3))

y - 2 = 3(x + 3)

y - 2 = 3x + 9

y = 3x + 11

a) x = 25 tickets

   y = 43.75 - Total cost

   a = admission cost

b/c) 1.25(25)+a=43.75

   31.25+a=43.75

   43.75-31.25=12.50 cost of admission

   12.50+31.25=43.75 total cost at the country fair.

(8,9) and (-2,4)

equation would be y = 1/2x+5

(do the work its a lot there can be videos found online)

nfadkjnbvjkn I'm busy i hope this helped

Answer:  see proof below

Step-by-step explanation:

Use the following Half-Angle Identities:    tan (A/2) = (sinA)/(1 + cosA)

                                                                     cot (A/2) = (sinA)/(1 - cosA)

Use the Pythagorean Identity: cos²A + sin²B = 1

Use Unit Circle to evaluate: cos 45° = sin 45° = \(\frac{\sqrt2}{2}\)

Proof LHS → RHS

Given:                       \(cot\ (22\frac{1}{2})^o-tan\ (22\frac{1}{2})^o\)

Rewrite Fraction:     \(cot\ (\frac{45}{2})^o-tan\ (\frac{45}{2})^o\)

Half-Angle Identity:   \(\dfrac{sin(45)^o}{1-cos(45)^o}-\dfrac{sin(45)^o}{1+cos(45)^o}\)

Substitute:                  \(\dfrac{\frac{\sqrt2}{2}}{1-\frac{\sqrt2}{2}}-\dfrac{\frac{\sqrt2}{2}}{1+\frac{\sqrt2}{2}}\)

Simplify:                      \(\dfrac{\frac{\sqrt2}{2}}{\frac{2-\sqrt2}{2}}-\dfrac{\frac{\sqrt2}{2}}{\frac{2+\sqrt2}{2}}\)

                               \(=\dfrac{\sqrt2}{2-\sqrt2}-\dfrac{\sqrt2}{2+\sqrt2}\)

                               \(=\dfrac{\sqrt2}{2-\sqrt2}\bigg(\dfrac{2+\sqrt2}{2+\sqrt2}\bigg)-\dfrac{\sqrt2}{2+\sqrt2}\bigg(\dfrac{2-\sqrt2}{2-\sqrt2}\bigg)\)

                               \(=\dfrac{2\sqrt2+2}{4-2}-\dfrac{2\sqrt2-2}{4-2}\)

                               \(=\dfrac{4}{2}\)

                               = 2

LHS = RHS:  2 = 2  \(\checkmark\)

To find the radius of the spinner, we'll first find the total area of the spinner and then use the formula for the area of a circle. Radius is defined as the length between the center and the arc of circle.

Here are the steps:
1. Determine the proportion of the sectors that do not move the token: There are 3 such sectors (remaining sectors) out of a total of 9 sectors. So, the proportion is 3/9 = 1/3.

2. Calculate the total area of the spinner: Since 1/3 of the spinner has an area of 14.6 square inches, we can find the total area by multiplying the area of non-moving sectors by 3.
Total area = 14.6 * 3 = 43.8 square inches.

3. Use the formula for the area of a circle to find the radius: The formula for the area of a circle is A = πr^2, where A is the area and r is the radius. We'll solve for the radius (r) in this formula:
43.8 = πr^2

4. Divide both sides of the equation by π:
r^2 = 43.8 / π

5. Calculate r:
r = √(43.8 / π)

6. Round the result to the nearest tenth of an inch:
r ≈ 3.7 inches

So, the radius of the spinner is approximately 3.7 inches.

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Answer: 12 diamonds and 9 clubs

Step-by-step explanation:

4x3=12      4,3    8,6    12,9

Answer:

Proportinal

Step-by-step explanation:

The y is 0

The probability that out 9 males and 7 females, exactly 3 males and 3 females are chosen is 0.3671

The problem tp solve is selection of 6 people which are made up of  3 males and 3 females from 9 males and 7 females

number of ways to choose exactly 3 male and 3 female

= number of ways of selecting males * number of ways of selecting females

number of ways of selecting males

= 9 combination 3

= ⁹C₃

= 9! / (3! * (9 - 3)!)

= 84 ways

number of ways of selecting females

= 7 combination 3

= ⁷C₃

= 35 ways

number of ways = 35 * 84 = 2940 ways

number of ways to choose 6 people from 16 persons (9 male + 7 female)

= 16 combination 6

= ¹⁶C₆

= 8008 ways

The probability

= 2940 / 8008

= 0.3671

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We are given –

We are asked to find volume of the given cylinder.

Let the radius be "r".Then according to the question,it’s given –

\(\qquad\) \(\pink{\twoheadrightarrow\bf Curved\: surface\: area _{(Cylinder)}= 2\pi r h }\)

\(\qquad\) \(\twoheadrightarrow\sf 2\pi r h = 24 \pi\)

\(\qquad\) \(\twoheadrightarrow\sf 2\cancel{\pi} rh = 24 \cancel{\pi}\)

\(\qquad\) \(\twoheadrightarrow\sf r =\dfrac{24}{2h}\)

\(\qquad\) \(\twoheadrightarrow\sf r = \dfrac{24}{2\times 4}\)

\(\qquad\) \(\twoheadrightarrow\sf r = \dfrac{24}{8}\)

\(\qquad\) \(\twoheadrightarrow\sf r = \cancel{\dfrac{24}{8}}\)

\(\qquad\) \(\pink{\twoheadrightarrow\bf r = 3 \: cm}\)

Now, Let's find volume of cylinder

\(\qquad\) \(\purple{\twoheadrightarrow\bf V_{(Cylinder)} = \pi {r}^{2}h}\)

\(\qquad\) \(\twoheadrightarrow\sf V_{(Cylinder)} = \pi \times 3^2\times 4 \)

\(\qquad\) \(\twoheadrightarrow\sf V_{(Cylinder)} = \pi \times 9 \times 4\)

\(\qquad\) \(\twoheadrightarrow\sf V_{(Cylinder)} = \pi \times 36\)

\(\qquad\) \(\purple{\twoheadrightarrow\bf V_{(Cylinder)} = 36 \pi \: cm^3}\)

Step-by-step explanation:

Given :-

to find :-

Solution :-

Lateral surface area of cylinder = 2πrh

24π cm = 2πrh

Cancelling π on both the sides ,

24/2h = r

putting the value of h i.e, 4 cm

24/2×4 cm = r

3 cm = radius

Now volume of Cylinder = πr²h

putting all the values ,

Volume = 3.14 × 3² × 4 cm³

Volume = 113.04 cm³

The revenue function, R for x tickets sold which is the product of the cost per ticket and the number of tickets sold is R(x) = 7x

The cost per ticket = $7

The Revenue made from ticket sales can be calculated as :

If the Number of tickets sold is represented as x

The revenue function becomes ;

Therefore, for any given Number of tickets sold, x ; the Revenue function, R(x) = 7x

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Answer:

I will let you answer this after reading below

Step-by-step explanation:

a=area

\( a = \pi {r}^{2} \)

\(r = d \div 2\)

write a in terms of d

\( a = \frac{\pi {d}^{2}}{ 4}\)

since it's a semicircle divide a by 2 and that's your answer

I can confirm you answer if you like in a comment

The equation in Standard Form. b) Identify P(x). c) Identify Q(x). d) Evaluate Integrating Factor. e) Solve for the general solution are given below:

a) Rewrite the equation in Standard Form:

To rewrite the equation in standard form, divide the entire equation by x⁴:

dy/dx + 2y = e^(-x)

b) Identify P(x):

In standard form, the coefficient of the y term is 2, which is the function P(x). So, P(x) = 2.

c) Identify Q(x):

In standard form, the right-hand side of the equation is e^(-x), which is the function Q(x). So, Q(x) = e^(-x).

d) Evaluate the Integrating Factor:

The integrating factor (IF) is given by the exponential of the integral of P(x) with respect to x. In this case, the integrating factor is:

IF = e^(∫P(x)dx) = e^(∫2dx) = e^(2x)

e) Solve for the general solution:

Multiply the entire equation by the integrating factor (IF = e^(2x)):

e^(2x) * (dy/dx + 2y) = e^(2x) * e^(-x)

Simplify the left side by applying the product rule of exponents:

(e^(2x) * dy/dx) + 2y * e^(2x) = e^(x)

Notice that the left side is now in the form (f(x)g(x))' = f'(x)g(x) + f(x)g'(x), where f(x) = y and g(x) = e^(2x). Apply the product rule and simplify further:

(d/dx)(y * e^(2x)) = e^(x)

Integrate both sides with respect to x:

∫(d/dx)(y * e^(2x)) dx = ∫e^(x) dx

Integrating the left side gives:

y * e^(2x) = ∫e^(x) dx = e^(x) + C₁, where C₁ is the constant of integration.

Finally, solve for y by dividing both sides by e^(2x):

y = (e^(x) + C₁) / e^(2x)

This is the general solution to the given differential equation using the Integrating Factor Method.

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Answer:

7.5x = total cost

As the cost is 7.5 dollars for each person, multiple the cost by the amount of people for the total cost of the whole party.

Answer:

Step-by-step explanation:

Draw a house for cell walls

draw a solar panel for photosyntheses

draw a sink for vacuoles

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

The linear equality for the given graph is x > 0.

Option (B) is correct.

What is linear equality?

In mathematics, a linear inequality is an inequality that involves a linear function. A linear inequality contains one of the symbols of inequality. It shows the data which is not equal in graph form.

The hollow circle in the linear equality shows that the point should be excluded and the line is going towards the positive x-axis.

So we can prepare the linear equality as

                       x > 0

Hence, the linear equality for the given graph is x > 0.

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Answer:

F) yes

D)no

no

   bfhdfthjfyktyrztjkgtwfhdhdgdrdrdth

Answer:

it is a statistical measure of the relationship between two variables that indicates the extent to which the variables change together in the same or opposite direction. Correlation does not imply causation, meaning that a correlation between two variables does not necessarily mean that one variable causes the other.

Based on this definition, the correct answer is b. Increasing values of X go with either increasing or decreasing values of Y. A correlation exists between two variables when both variables increase or decrease together. This statement captures the idea that correlation can be positive or negative, and that it reflects a linear relationship between two variables.

Step-by-step explanation:

a is wrong because it only describes positive correlation, not negative correlation.

c is wrong because it confuses correlation with consistency. Correlation does not require that higher values of X always go with higher or lower values of Y, only that they tend to do so on average.

d and f are wrong because they assume causation from correlation, which is a logical fallacy.

e is wrong because it contradicts itself. It says that increasing values of X go with increasing values of Y, which is positive correlation, but then it says that a correlation exists when both variables decrease together, which is negative correlation.

If X is correlated with Y, it implies a predictive statistical relationship between X and Y. This correlation can be positive or negative implying respective increase or decrease in values of both variables. But, this correlation doesn't prove causation.

If X is correlated with Y, it indicates a statistical relationship between the two variables, X and Y. This relationship can be positive or negative. If it is a positive correlation, as X increases, Y will also increase and similarly, as X decreases, Y will also decrease. Contrarily, in a negative correlation, as X increases, Y decreases and vice versa. However, it is important to understand that correlation does not imply causation. That is, if X and Y are correlated, it does not necessarily mean that changes in X cause changes in Y or vice versa. It only means that they move in a predictable manner relative to each other.

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Answer:

It would be 16 men.

Step-by-step explanation:

Let the number of men dig a pond in 6 day be x. Then,

It is a case of inverse variation.

12 × 8 = 6x

=> 96 = 6x

=> x = 96/6

=> x = 16

Hence, 16 men can dig a pond in 6 days.

Answer:

Answer is 16…..

12 men take 8 days for digging a pond, so we use simple method to solve this problem.

We multiple the both things that is 12 and 8 then get 96 is the result which is equal to multiple of 6 days and ?Men then get 16 men

Step-by-step explanation:

I literally put it on the comments lol

Should be B.

There is a nested function structure. Let's first look at the limit of the interior (f(0)). The point we need to pay attention here is to look at the limits from the right and left. If both values are equal, we can say that it has a limit at that point.

If we express it algebraically;

The left limit and the right limit of \(f(0)\) are equal and equal to \(2.\)

The left limit and the right limit of f(2) are equal and equal to 3.

As I have drawn with colored arrows in the graph below, we approach from the left and from the right, and if they both point to the same point, we can talk about the existence of the limit at that point. Otherwise, this function does not have a limit at that point.

a. The solution to the integral is:

∫[0, π] (8 + 4cos(x)) dx = 8π + 0 = 8π

b. The true percent relative error is 25%.

c. The true percent relative error for n = 2 is 50%.

d. The true percent relative error for the single application of Simpson's 1/3 rule is 33.33%.

e. The approximation would be:

Approximation = (π/12) * [(8 + 4cos(0)) + 4 * (8 + 4cos(π/4)) + 2 * (8 + 4cos(π/2)) + 4 * (8 + 4cos(3π/4)) + (8 + 4cos(π))]

The summing of discrete data is indicated by the integration. To determine the functions that will characterise the area, displacement, and volume that result from a combination of small data that cannot be measured separately, integrals are calculated.

a) To solve the given integral analytically, we have:

∫[0, π] (8 + 4cos(x)) dx

Integrating term by term, we get:

∫[0, π] 8 dx + ∫[0, π] 4cos(x) dx

The integral of a constant is:

8x |[0, π] = 8π - 8(0) = 8π

For the integral of cos(x), we have:

∫[0, π] 4cos(x) dx = 4sin(x) |[0, π] = 4(sin(π) - sin(0)) = 4(0 - 0) = 0

Therefore, the solution to the integral is:

∫[0, π] (8 + 4cos(x)) dx = 8π + 0 = 8π

b) Using the trapezoidal rule, we can approximate the integral as follows:

∫[0, π] (8 + 4cos(x)) dx ≈ (π - 0) * [(8 + 4cos(0))/2 + (8 + 4cos(π))/2]

Simplifying the expression:

∫[0, π] (8 + 4cos(x)) dx ≈ (π) * [(8 + 4)/2 + (8 - 4)/2]

                                = π * (12/2 + 4/2)

                                = π * (8 + 2)

                                = 10π

To calculate the true percent relative error based on the analytical solution (8π), we use the formula:

Error = |Approximate Value - True Value| / |True Value| * 100

Error = |10π - 8π| / |8π| * 100

     = 2π / 8π * 100

     = 25%

Therefore, the true percent relative error is 25%.

c) Using the composite trapezoidal rule with n = 2, we divide the interval [0, π] into two equal subintervals: [0, π/2] and [π/2, π]. Applying the trapezoidal rule on each subinterval, we have:

∫[0, π/2] (8 + 4cos(x)) dx + ∫[π/2, π] (8 + 4cos(x)) dx

Approximation = [(π/2 - 0)/2] * [(8 + 4cos(0))/2 + (8 + 4cos(π/2))/2] +

              [(π - π/2)/2] * [(8 + 4cos(π/2))/2 + (8 + 4cos(π))/2]

Simplifying the expression:

Approximation = (π/4) * [(8 + 4)/2 + (8 + 4(0))/2] + (π/4) * [(8 + 4(0))/2 + (8 - 4)/2]

             = (π/4) * [(12/2 + 8/2) + (8/2 + 4/2)]

             = (π/4) * (10 + 6)

             = (π/4) * 16

             = 4π

To calculate the true percent relative error based on the analytical solution (8π), we use the formula:

Error = |Approximate Value - True Value| / |True Value| * 100

Error = |4π - 8π| / |8π|

* 100

     = 4π / 8π * 100

     = 50%

Therefore, the true percent relative error for n = 2 is 50%.

Using the composite trapezoidal rule with n = 4, we divide the interval [0, π] into four equal subintervals. The calculation is similar to the previous step, but with more subintervals. The approximation would be:

Approximation = [(π/4 - 0)/2] * [(8 + 4cos(0))/2 + (8 + 4cos(π/4))/2] +

              [(π/2 - π/4)/2] * [(8 + 4cos(π/4))/2 + (8 + 4cos(π/2))/2] +

              [(3π/4 - π/2)/2] * [(8 + 4cos(π/2))/2 + (8 + 4cos(3π/4))/2] +

              [(π - 3π/4)/2] * [(8 + 4cos(3π/4))/2 + (8 + 4cos(π))/2]

Simplifying the expression, you will get an approximation value. Calculate the true percent relative error using the formula mentioned above.

d) Using Simpson's 1/3 rule, we can approximate the integral as follows:

∫[0, π] (8 + 4cos(x)) dx ≈ (π/6) * [(8 + 4cos(0)) + 4 * (8 + 4cos(π/2)) + (8 + 4cos(π))]

Simplifying the expression:

∫[0, π] (8 + 4cos(x)) dx ≈ (π/6) * [(8 + 4) + 4 * (8 + 4(0)) + (8 + 4(-1))]

                                = (π/6) * [12 + 4 * 8 + 12]

                                = (π/6) * [12 + 32 + 12]

                                = (π/6) * 56

                                = (28/3)π

To calculate the true percent relative error based on the analytical solution (8π), we use the formula:

Error = |Approximate Value - True Value| / |True Value| * 100

Error = |(28/3)π - 8π| / |8π| * 100

     = (28/3 - 8) / 8 * 100

     = 1/3 * 100

     = 33.33%

Therefore, the true percent relative error for the single application of Simpson's 1/3 rule is 33.33%.

e) Using the composite Simpson's 1/3 rule with n = 4, we divide the interval [0, π] into four equal subintervals and apply Simpson's 1/3 rule on each subinterval. The calculation is similar to the previous steps, but with more subintervals. The approximation would be:

Approximation = (π/12) * [(8 + 4cos(0)) + 4 * (8 + 4cos(π/4)) + 2 * (8 + 4cos(π/2)) + 4 * (8 + 4cos(3π/4)) + (8 + 4cos(π))]

Simplifying the expression, you will get an approximation value. Calculate the true percent relative error using the formula mentioned earlier.

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Answer:

Step-by-step explanation:

none of these the corrct answer is 5

Answer:

5 m/min

Step-by-step explanation:

Initial speed = 6 m/ min

Final speedd = 4 m/ min

\(Average\:speed\:=\:\dfrac{total\:speed}{2}\)

Average speed = \(\dfrac{ 6 + 4}{2}\)

Avg. Speed = 5 m / min.

Answer:

Age of a student (B) and Time taken you run 1 mile (D)

Step-by-step explanation:

Only the age of a student and the time taken to run 1 mile are continuous data.

The data is classified into majorly four categories:

As per the given definitions above we can state that Continuous data is (B) the Age of the students (D) the Time taken to run 1 mile

Therefore, the Answer is (B) and (D)

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Answer: 3.25 x < 26.50. He ca buy 8 bracelets

Step-by-step explanation:

Omar has a gift card for $40.00.

Omar bought a hat for $13.50

You subtract the following = $40.00 - $13.50 = $26.50

Next He would like to buy souvenir bracelets for his friends.

Each bracelet costs the following = $3.25

Let "x" stand for the number of bracelets he can buy.

This would be the equation 3.25x ≤ 26.50

Now time to solve the inequality.

Dividing both sides by 3.25, we get the following answer X<8.15

The bracelets cannot be in decimal form.

So we round off to nearest whole number.

Which is the following number x ≤ 8

Therefore, we know Omar can buy 8 bracelets.

Hope this helps :)

Answer:

3/2

Step-by-step explanation:

6-2x=3

Collect like terms(CLT)

6-3=2x

3=2x

Divide both sides by 2

=x=3/2

a) The surface area of the bathtub is given by the equation S = πr² + 2/r.

b) The critical value(s) of S can be found by setting the derivative of S with respect to r equal to zero: 2πr - 2/r² = 0, which leads to the critical value r = (1/π)^(1/3).

c) The nature of the critical value(s) of S can be determined by evaluating the second derivative of S with respect to r, which is d²S/dr² = 2π + 4/r³.

d) The values of r and h that minimize the surface area of the bathtub are r = (1/π)^(1/3) and h = π^(1/3), and the corresponding minimum surface area is S = (1/π)^(2/3) + 2(π^(1/3)).

a) To find the surface area of a bathtub, we need to calculate the area of the curved surface (lateral area) and the area of the two circular bases.

The lateral area of a cylindrical shape is given by the formula A = 2πrh, where r is the radius and h is the height of the cylinder.

The area of each circular base is given by the formula A = πr².

Therefore, the total surface area S of the bathtub is:

S = 2πrh + 2πr²

We can simplify this equation by factoring out π:

S = π(2rh + 2r²)

Next, we can factor out 2r from the parentheses:

S = π(2r(h + r))

Finally, dividing by r, we get:

S = πr(h + r) + 2π/r

Thus, the surface area of the bathtub is S = πr² + 2/r.

b) To find the critical value(s) of S, we need to find where the derivative of S with respect to r is equal to zero.

Taking the derivative of S with respect to r:

dS/dr = 2πr - 2/r²

Setting this derivative equal to zero and solving for r:

2πr - 2/r² = 0

Multiplying through by r²:

2πr³ - 2 = 0

Dividing through by 2:

πr³ - 1 = 0

πr³ = 1

r³ = 1/π

Taking the cube root of both sides:

r = (1/π)^(1/3)

c) To determine the nature of the critical value(s) of S, we need to evaluate the second derivative of S with respect to r.

Taking the second derivative of S with respect to r:

d²S/dr² = 2π + 4/r³

Plugging in the critical value of r:

d²S/dr² = 2π + 4/((1/π)^(1/3))³

d) To find the values of r and h that minimize the surface area of the bathtub, we can substitute the critical value of r into the equation for S and solve for h.

Substituting r = (1/π)^(1/3) into S:

S = π((1/π)^(1/3))² + 2/((1/π)^(1/3))

Simplifying:

S = (1/π)^(2/3) + 2(π^(1/3))

The minimum surface area occurs at this value of S. To find the corresponding value of h, we need to solve for h using the volume formula for the cylindrical shape:

V = πr²h

Substituting r = (1/π)^(1/3) and V = 1:

1 = π((1/π)^(1/3))²h

Simplifying:

1 = (1/π)^(2/3)h

h = π^(1/3)

Therefore, the values of r and h that minimize the surface area of the bathtub are r = (1/π)^(1/3) and h = π^(1/3), and the minimum surface area is S = (1/π)^(2/3) + 2(π^(1/3)).

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Answer:

4/6 = 2/3

Step-by-step explanation:

I know this because she ordered 5/6 of a sack of brown rice and 1/6 of a sack of white rice. Then, I did 5/6 - 1/6 = 4/6, which is also equal to 2/3.

Answer:G

Step-by-step explanation:This is because $3 per pound and pound respents n .Which means 3n.And since $20 is what you have to spend you can spend $20 or equal to $20 .So it would be the less then or equal to symbol. Which means G.

Hope it helps.