There are 9 players on a youth baseball team. To create the lineup, the coach chooses three players to play pitcher, catcher, and first base. How many ways can the coach choose these three positions?

Answer:

25%

Step-by-step explanation:

The box and whisker plot is broken up into 4 quartiles.  Each quartile is 25% of the date.  The data range in in the third quartile.

Helping in the name of Jesus.

The volumes of the following shapes include:

728.00 m³.

135.78 yd³.

1260.00 cm³.

452.39 in³.

1344.00 m

1. Pyramid:

The formula for the volume of a pyramid is:

V = (1/3) × B × h

where B is the area of the base and h is the height.

For a pyramid with a rectangular base, the area of the base is:

B = l × w

where l and w are the length and width of the base, respectively.

Using the given measurements:

l = 13 m

w = 8 m

h = 21 m

Therefore, the area of the base is:

B = l × w = 13 m × 8 m = 104 m²

And the volume of the pyramid is:

V = (1/3) × B × h = (1/3) × 104 m² × 21 m ≈ 728 m³

Rounded to the nearest hundredth, the volume of the pyramid is 728.00 m³.

2. Cylinder:

The formula for the volume of a cylinder is:

V = πr²h

where r is the radius of the base and h is the height.

Using the given measurements, we have:

r = 3.5 yd / 2 = 1.75 yd

h = 10 yd

Therefore, the volume of the cylinder is:

V = πr²h = π × (1.75 yd)² × 10 yd ≈ 135.78 yd³

Rounded to the nearest hundredth, the volume of the cylinder is 135.78 yd³.

3. Cuboid:

The formula for the volume of a cuboid is:

V = l × w × h

Using the given measurements, we have:

l = 14 cm

w = 18 cm

h = 5 cm

Therefore, the volume of the cuboid is:

V = l × w × h = 14 cm × 18 cm × 5 cm = 1260 cm³

Rounded to the nearest hundredth, the volume of the cuboid is 1260.00 cm³.

4. Cone:

The formula for the volume of a cone is:

V = (1/3) × πr²h

where r is the radius of the base and h is the height.

Using the given measurements:

r = 12 in / 2 = 6 in

h = 37 in

Therefore, the volume of the cone is:

V = (1/3) × πr²h = (1/3) × π × (6 in)² × 37 in ≈ 452.39 in³

Rounded to the nearest hundredth, the volume of the cone is 452.39 in³.

5. Prism:

The formula for the volume of a prism is:

V = Bh

where B is the area of the base and h is the height.

Using the given measurements:

B = 6 m × 16 m = 96 m²

h = 14 m

Therefore, the volume of the prism is:

V = Bh = 96 m² × 14 m = 1344 m³

Rounded to the nearest hundredth, the volume of the prism is `1344.00 m

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There were 8 children in the classroom, and the initial guess of 7 children was incorrect.

Let's assume there were 7 children in the classroom. Since each child has one head and two legs, the number of heads would still be 7, and the number of legs would be 7 x 2 = 14.

Now we need to find out how many dogs there are. The total number of heads in the classroom is 14, so the number of dogs is 14 - 7 = 7. Each dog has one head and four legs, so the number of legs from the dogs is 7 x 4 = 28.

The total number of legs in the classroom is 40, so the total number of legs from the children and dogs is 14 + 28 = 42. Since there are only 40 legs, our initial assumption was incorrect.

To find the correct number of children in the classroom, we need to use algebra. Let c be the number of children, and let d be the number of dogs. We know that c + d = 14 and 2c + 4d = 40. We can solve for c by substituting the first equation into the second equation and simplifying:

2c + 4(14 - c) = 40

2c + 56 - 4c = 40

-2c = -16

c = 8

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Answer:

Step-by-step explanation:

Using the given calculator, the product of (1.466 × 10–8) and (5.02 × 105) was found to be 7.3593 × 10–3. The coefficient of the product is 7.3593, which is obtained by multiplying the coefficients of the two given numbers. The exponent of the power in the product is –3, which is obtained by adding the exponent of the first number to the exponent of the second number and then subtracting it from the power of 10. Therefore, the final answer is 7.3593 × 10–3.

Answer:

Step-by-step explanation:

Using a calculator to find the product of two or more numbers is a simple process. First, enter the first number into the calculator using the number keys. Then, press the multiplication symbol (usually represented by the "x" key) followed by the second number. If there are more numbers to multiply together, repeat the process until all numbers have been entered. Finally, press the equals sign (often represented by the "=" key) to display the product of all the numbers. Remember to check the order of operations if necessary, and to double-check your input and output to avoid errors.

To multiply two numbers in scientific notation, we first multiply their coefficients (1.466 x 5.02 = 7.358). Then, we add their exponents together (-8 + 5 = -3). Therefore, (1.466 x 10⁻⁸) multiplied by (5.02 x 10⁵) equals 7.358 x 10⁻³ or 0.007358. The final answer has the exponent of -3, indicating that the answer should be moved 3 decimal places to the left to convert it from scientific notation to standard notation.

The additive inverse of the polynomial is A' = - ( 1.3t³ - 0.2t² - 6t - 8 )

Given data ,

Let the polynomial be represented as A

Now , the value of A is

A = ( 1.3t³ + 0.4t² - 24t ) - ( 0.6t² + 8 - 18t )

On simplifying the equation , we get

A = 1.3t³ + 0.4t² - 24t - 0.6t² - 8 + 18t

A = 1.3t³ - 0.2t² - 6t - 8

Now , the additive inverse of the polynomial is

A' = - ( 1.3t³ - 0.2t² - 6t - 8 )

Hence , the polynomial is solved

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Statement there are 2.5 customers who bought spearmint as customer than peppermint is not supported by the display of the graph. So, the correct answer is D).

According to the bar graph, there are 50 customers who bought spearmint and 20 customers who bought peppermint.

Therefore, the difference between the number of customers who bought spearmint and those who bought peppermint is

50 - 20 = 30

This means that there are 30 more customers who bought spearmint than peppermint, not 2.5. So, the correct option is D).

Statements a, b, and c are supported by the display of the graph.

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--The given question is incomplete, the complete question is given

"  The bar graph shows the flavors of gum bought yesterday by the customers at a store. Each customer bought only 1 flavor of gum.

Which statemnt is not supported by display of graph"--

a The same number of customer bought papermint and cinmaon.

b Thera ARE 120customer who bought gum

c The most favoured flavor is papermint

d there are 2.5 customers who bought spearmint as customer than peppermint

There is no proportional relationship between x and y.

No, all ratios yx are not equivalent.

We have,

"Two or more number or variable are said to be in proportion if the ratio between them are equivalent to each other."

According to the question,

Given x : 8 , 10, 12, 14

        y : 5, 7, 9, 11

Ratio between different values of x and y are not equivalent

( 8 /5) ≠ (10 / 7)≠ (12 /9) ≠(14 /11)

We conclude there is no proportional relationship between x and y.

Hence, Option(1) is the correct answer.

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complete question:

Is there a proportional relationship between x and y? Explain.

x 8 10 12 14

y 5 7 9 11

1. No; all ratios yx are not equivalent.

2.Yes; each x value and y value increases by 2.

3.Yes; the difference between each x value and y value is 3.

4.No; all ratios xy are greater than 1.

The total remaining length of road that needs to be paved after the four days is: b). 1 5/6.

In order to determine total remaining length of road that needs to be paved after the four days, we would evaluate and simplify the fraction for the expressions as follows;

Length of road paved in four days = 35/6  + 39/6  + 52/6  + 25/6

Length of road paved in four days = (35 + 39 + 52 + 25)/6

Length of road paved in four days =  151/6

Total length of road = 27 miles  = 162/6  miles

Therefore, the total remaining length of road that should be paved after the four days can be calculated as follows;

total remaining length = 162/6  - 151/6

total remaining length = 11/6

total remaining length = 1 5/6 miles.

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Complete Question:

A work crew spent four days paving a stretch of road. The table below shows the length of road paved each day.

ROAD PAVING Day     Length (miles)

Monday=35/6

Tuesday=39/6

Wednesday=52/6

Thursday=25/6

The entire length of the road will be 27 miles. What is the total remaining length of road that needs to be paved after the four days?

a).1 3/6

b).1 5/6

c).2 3/6

d).2 5/6​

The sine graph is at its maximum when the angle measure is an odd multiple of 90 degrees.

The sine graph crosses the y-axis at x = 0.

The sine graph is at its maximum when the angle measure is an odd multiple of 90 degrees, or equivalently, an odd multiple of π/2 radians.

The sine graph is at its minimum when the angle measure is an even multiple of 90 degrees, or equivalently, an even multiple of π/2 radians.

The sine graph crosses the y-axis at x = 0.

At this point, the sine function has a value of 0.

The sine graph does not cross the z-axis.

The z-axis is the axis perpendicular to the x-y plane, and the sine graph oscillates between positive and negative y-values, but never crosses the z-axis.

The sine graph is equal to or above the z-axis whenever its y-value is non-negative.

This occurs whenever the angle measure is between 0 and π radians, or between 2π and 3π radians, or between 4π and 5π radians, and so on.

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Answer:  The slope-intercept form for this line is y=4x-10

Step-by-step explanation:  To begin with the solution of this problem firstly, write down the equation of the line passing through the point (4, 6) with a slope of 4 in slope-intercept form (y = mx + b),  now take a look at the following point-slope form of a line:

y - y1 = m(x - x1)

where (x1, y1) is the point (4, 6) and m is the slope of the line, which is 4.  now substitute these values in the above equation, we get:

y - 6 = 4(x - 4)

Expanding the right-hand side, we get:

y - 6 = 4x - 16

Adding 6 to both sides, we get:

y = 4x - 10

Therefore, the equation of the line in slope-intercept form is:

y=4x-10

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According to the given equation, the value of the number is 8/9.

Let's break down the statement: "The difference of seven times a number and 6 is the quotient of the number and 4." We can translate this into a mathematical equation by first defining the number as "n":

7n - 6 = n/4

In this equation, 7n represents seven times the number, and n/4 represents the quotient of the number and 4. The difference between the two is given by subtracting 6 from 7n.

Now, we can solve for the value of n by manipulating the equation to isolate n on one side. To do this, we can start by multiplying both sides of the equation by 4 to eliminate the fraction:

28n - 24 = n

Next, we can simplify the equation by bringing all the n terms to one side:

28n - n = 24

Combining like terms, we get:

27n = 24

Finally, we can solve for n by dividing both sides by 27:

n = 24/27

Simplifying the fraction, we get:

n = 8/9

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Answer:

x^3 - 6x^2 + 12x - 8 = 0

Step-by-step explanation:

Let the roots of the equation x^3 - 8x + 3 = 0 be a, b, and c. Then, we know that the squares of the roots are a^2, b^2, and c^2.

By Vieta's formulas, we know that the sum of the roots of x^3 - 8x + 3 = 0 is 0, since there is no x^2 term:

a + b + c = 0

We also know that the product of the roots is 3/1 = 3:

abc = 3

Using the fact that the squares of the roots are a^2, b^2, and c^2, we can write:

a^2 + b^2 + c^2 = (a + b + c)^2 - 2(ab + ac + bc)

Since a + b + c = 0, this simplifies to:

a^2 + b^2 + c^2 = -2(ab + ac + bc)

Now, let's try to find a cubic equation with roots a^2, b^2, and c^2. We can start with:

(x - a^2)(x - b^2)(x - c^2) = 0

Expanding the left side, we get:

x^3 - (a^2 + b^2 + c^2)x^2 + (a^2b^2 + b^2c^2 + c^2a^2)x - a^2b^2c^2 = 0

Using the identity we found earlier for a^2 + b^2 + c^2, we can simplify this to:

x^3 + 2(ab + ac + bc)x - 3a^2b^2c^2 = 0

Now, we can substitute in the values we know for ab, ac, and bc:

ab = (a + b + c)(ab + ac + bc) - (a^2b + ab^2 + c^2a)

ac = (a + b + c)(ab + ac + bc) - (a^2c + ac^2 + b^2a)

bc = (a + b + c)(ab + ac + bc) - (b^2c + bc^2 + a^2b)

Plugging in these values and simplifying, we get:

x^3 - 6x^2 + 12x - 8 = 0

Therefore, the cubic equation we're looking for is:

x^3 - 6x^2 + 12x - 8 = 0

And the roots of this equation are the squares of the roots of x^3 - 8x + 3 = 0.

Answer: herefore, the average cost of the items Roy bought is $14.07.

Step-by-step explanation:

To find the average cost of the items Roy bought, we need to add up the total cost of all his purchases and divide by the total number of purchases.

Strategy:

1. Add up the cost of all Roy's purchases.

2. Count the number of purchases.

3. Divide the total cost by the number of purchases to find the average cost.

Explanation:

We will use this strategy because it is a straightforward way to find the average cost of multiple items. We will add up all the costs and divide by the number of purchases to get the average cost.

Calculations:

Total cost = (4 x $3.55) + $10.76 + $15.35 + $55.27 + $16.98

Total cost = $14.20 + $10.76 + $15.35 + $55.27 + $16.98

Total cost = $112.56

Number of purchases = 4 (coffee) + 2 (lunch) + 1 (groceries) + 1 (hardware store)

Number of purchases = 8

Average cost = Total cost / Number of purchases

Average cost = $112.56 / 8

Average cost = $14.07

Therefore, the average cost of the items Roy bought is $14.07.

cheap answer, put them all in slope-intercept form, once we can see their slope, we know what's cooking.

same slope? likely parallel
different slope? likely neither

21)

we can rewrite them as

y = x + 6 and x +2 = y

slope in each is the same, 1, but the y-intercept differs, one is 6 the other 2, so they're parallel and a few units from each other.

22)

we can rewrite that as

[tex]\cfrac{x-8}{2}=y\implies \cfrac{1}{2}x-4=y\hspace{7em}y=-2x+1[/tex]

so one has a slope of 1/2 and the other -2 hmmm, let's check for the negative reciprocal of 1/2

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{1}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{1} \implies -2}}[/tex]

ahaa!!, so one slope is the negative reciprocal of the other, they are perpendicular.

23)

[tex]\cfrac{4x-9}{3}=y\implies \cfrac{4}{3}x-3=y\hspace{7em}\cfrac{3x-36}{4}=y\implies \cfrac{3}{4}x-9=y[/tex]

so one has a slope of 4/3 and the other of 3/4, neither.

24)

two horizontal lines, one above the other, parallel.

Answer:

parallel, perpendicular, neither , parallel

Step-by-step explanation:

• Parallel lines have equal slopes

• Product of slopes of perpendicular lines = - 1

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

21

y = x + 6 ← is in slope- intercept form , with slope m = 1

x - y = 2 ( subtract x from both sides )

- y = - x + 2 ( multiply through by - 1 )

y = x - 2 ← in slope- intercept form with slope = 1

Since the slopes are equal the lines are parallel

-----------------------------------------------------------------------------

22

x - 2y = 8 ( subtract x from both sides )

- 2y = - x + 8 ( divide through by - 2 )

y = [tex]\frac{1}{2}[/tex] x - 4 ← in slope- intercept form , with slope m = [tex]\frac{1}{2}[/tex]

y = - 2x + 1 ← in slope- intercept form, with slope m = - 2

then [tex]\frac{1}{2}[/tex] × - 2 = - 1

since the product is - 1 the lines are perpendicular

-----------------------------------------------------------------------------

23

4x + 3y = 9 ( subtract 4x from both sides )

3y = - 4x + 9 ( divide through by 3 )

y = - [tex]\frac{4}{3}[/tex] x + 3 ← in slope- intercept form , with slope = - [tex]\frac{4}{3}[/tex]

3x + 4y = 36 ( subtract 3x from both sides )

4y = - 3x + 36 ( divide through by 4 )

y = - [tex]\frac{3}{4}[/tex] x + 9 ← in slope- intercept form, with slope m = - [tex]\frac{3}{4}[/tex]

since slopes are neither equal nor product = - 1

The the lines are neither parallel nor perpendicular

-----------------------------------------------------------------------------

24

the equation of a horizontal line, parallel to the x- axis is

y = c ( c is the value of the y- coordinates the line passes through )

y = 5 and y = - 2 are both in this form , thus are parallel lines

Answer:

Step-by-step explanation:

The given expression is 4-3x-2.

To find the coefficient, we need to identify the numerical factor that is multiplied by the variable x. In this case, the numerical factor that is multiplied by x is -3.

Therefore, the coefficient of 4-3x-2 is -3.

The entire area is under the standard normal distribution curve, which is 1 by definition.

In other words, a typical normal random variable has a 100% chance of landing anywhere within its range of potential values (-∞ to +∞).

This makes sense since the area under the standard normal distribution curve, which is a continuous probability distribution, shows the likelihood that the random variable will take on any value within its range. Since the entire area under the curve is 1, the likelihood that any potential value for the random variable will occur is 1, or 100%.

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Thegreatest common factor of the expression 3x^3-9x^2-30x is 3x.

Here we want to get the greatest common factor of the expression:

3x^3-9x^2-30x

We can se that all the terms have some multiple of 3 and some power of x, then the greatest common factor of the given expression is just 3x.

3x^3-9x^2-30x = 3x*(x^2 - 3x - 10)

If you expand the thing in the right you will get the original expression.

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The ordered pair that would best represent the location of point E' is (8z, 4z).

A graph of the vertices of the dilated image is shown in the image below.

The rule that best represent the dilation of quadrilateral WXYZ to quadrilateral W'X'Y'Z'.

In Mathematics and Geometry, a dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape.

Next, we would have to dilate the coordinates of the pre-image by using a scale factor of 5/2 centered at the origin as follows:

Ordered pair W (-2, 1) → Ordered pair W' (-2 × 5/2, 1 × 5/2) = W' (-5, 5/2).

Ordered pair X (2, 2) → Ordered pair X' (2 × 5/2, 2 × 5/2) = X' (10, 10).

Ordered pair Y (1, -1) → Ordered pair Y' (1 × 5/2, -1 × 5/2) = Y' (5/2, -5/2).

Ordered pair Z (-2, -2) → Ordered pair Z' (-2 × 5/2, -2 × 5/2) = Z' (-5, -5).

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Step-by-step explanation:

BecauseThe expression |-26| refers to the absolute value of -26. Absolute value is a measure of distance from zero on a number line and is always positive. Therefore, |-26| is equal to 26 (option b). Similarly, |-1| is equal to 1 (option c) as it is the distance of 1 from zero on the number line. Absolute value is denoted by vertical bars surrounding the number, and it is a common concept in mathematics and various scientific applications.

Answer:

7:4 that would be the ratio

Answer:

Based on the given data, we can make the following predictions:

1. Sample 2 will have a larger number of people than sample 1, since the sample sizes in sample 2 are larger than those in sample 1 for all three groups.

2. The Butterfly and Ladybugs theme will be the most popular choice in both samples, since it has the largest sample size in both samples.

3. The Flower Garden theme may be less popular in sample 2 compared to sample 1, since the sample size for this group is smaller in sample 2 than in sample 1.

4. The April Showers theme may be similarly popular in both samples, since the sample sizes for this group are relatively similar in both samples.

However, it's important to note that these predictions are based solely on the given data and sample sizes, and may not necessarily reflect the actual preferences of the population as a whole.

Step-by-step explanation:

The expanded form of 12³ is given as follows:

12³ = 12 x 12 x 12 = 1728 cubic feet.

The volume of a cube of side length a is given by the cube of the side length, as follows:

V(a) = a³.

This expression is equivalent to multiplying the side length of the object by itself twice, as follows:

V(a) = a x a x a.

The side length for this problem is given as follows:

a = 12 feet.

Hence the volume of the cube is given as follows:

V = 12³ = 1728 feet³.

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[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2 \end{cases}\implies V=\cfrac{4\pi 2^3}{3} \\\\\\ V=\cfrac{4(3.14) 2^3}{3}\implies V=33.49~yd^2[/tex]

Answer:

33.49 yds^3

Step-by-step explanation:

the volume formula for a sphere is 4/3 pi r^3

so just fill in r with 2 and the pi with 3.14 and it becomes 4/3 times 3.14 times 2^3 which would equal 33.49 yds ^3 (im pretty sure at least)

The angle measure of the minor arc is 62°

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

The diameter is the length of the line that passes through the center circle touching two points on the circle's circumference.

The arc of a circle is the part or segment of the circumference of a circle.m∠EFG = minor arc EGminor arc EG = 62°

The measure of the arc is 62°

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Answer:

[tex]\Large \boxed{\boxed{\textsf{$x=\frac{47}{7}, y=15$}}}[/tex]

Step-by-step explanation:

The shape inside the circle is a quadrilateral. The following property of circle geometry can be used to solve the problem:

[tex]\large \boxed{\text{"The opposite angles of a cyclic quadrilateral are supplementary"}}[/tex]

Consider any quadrilateral, where the vertices touch on the circumference of a circle: ABCD, with origin O, as s

Required to prove: ∠ABC + ∠ADC = 180°

Let ∠AOC = 2x as shown in attached image.

∴ 2∠ABC = ∠AOC (using another property that "the perpendicular bisector of a chord passes through the circle's centre")

⇒ ∠ABC = x.

Now let ∠AOC = 2y.

Similarly, ∠ADC = y

⇒ ∠ABC + ∠ADC = x + y.

∵ It is clear that 2x + 2y = 360°,

⇒ x + y = 180°

∴∠ABC + ∠ADC = 180°, and hence statement is true.

Now, solving for x:

7x + 1 + 105° = 180

7x + 106 = 180

7x = 74

∴x = 74/7

Solving for y:

4y + 14 + 7y + 1 = 180

11y + 15 = 180

11y = 165

∴y = 15

The value of the expression is 3.

We have,

The square root of a number is a value that, when multiplied by itself, gives the original number.

The square root of 4 is 2 because 2 multiplied by 2 equals 4.

Therefore,

√4 is equal to 2.

Multiplying 1.5 by 2 gives 3, so 1.5√4 is equivalent to 3.

Thus,

The value of the expression is 3.

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The complete question.

The expression 1.5√4 is equivalent to:

The simplified form of the given expression 1m5√4 is equivalent to 10m.

The given expression is -

1m5√4

We can write the simplified version of the given expression as -

1 x m5√4

1 x m5√2²

1 x m x 10

10m

So, the simplified form of the given expression 1m5√4 is equivalent to 10m.

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The slope of f(x) is smaller than the slope of g(x).

For a linear function that passes through two points (x₁, y₁) and (x₂, y₂) the slope is given by the formula:

a = (y₂ - y₁)/(x₂ - x₁)

Then the slope of g(x) is:

a = (3 - 0)/(0 + 2) = 3/2

And for f(x) the slope is 4/5, then we can see that:

3/2 > 4/5

Thus the slope of g(x) is larger.

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The inequality representing your total sales is:

15x + 20y >= 150

Let x be the number of small bowls and y be the number of large bowls.

The inequality representing your total sales is:

15x + 20y >= 150

Two possible solutions are:

x = 10, y = 0: Selling 10 small bowls ($150) and no large bowls meets the sales requirement.

x = 3, y = 6: Selling 3 small bowls ($45) and 6 large bowls ($120) results in $165 in sales, which exceeds the minimum sales target.

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