terrance plants a garden that has 8 rows of flowers, with 28 flowers in each row. how many flowers did terance plant

Answers

Answer 1

Answer:

224

Step-by-step explanation:

The answer is 224 since 8 x 28 = 224

Answer 2

Answer: Terrence planted 224 flowers in total

Step-by-step explanation:  8x28


Related Questions

The Nutty Professor sells cashews for $7.20 per pound and Brazil nuts for $4.10 per pound. How much of each type should be used to make a 32 pound mixture that sells for $5.75 per pound?

Answers

They have to use 17.03 pounds of cashews and 17.03 pounds of nuts to make a 32 pounds mixture that sells for $5.75 per pounds

The cost of cashews per pounds = $7.20

The cost of nuts per pounds = $4.10

Consider the number of pounds of cashews as x and number of pounds of nuts as y

Total pounds of mixture = 32 pounds

The equation will be

x+y = 32

x = 32-y

Cost of the mixture for one pound = $5.75

Cost of the mixture for 32 pounds = 32×5.75

= $184

Then the equation will be

7.20x+4.10y = 184

Here we have to use the substitution method

Substitute the value of x in the equation

7.20(32-y)+4.10y = 184

230.4-7.20y+4.10y = 184

230.4-3.1y  = 184

-3.1y = 184-230.4

-3.1y = -46.4

y = 14.97 pounds

x+y = 32

x+14.97 = 32

x = 17.03 pounds

Hence, they have to use 17.03 pounds of cashews and 17.03 pounds of nuts to make a 32 pounds mixture that sells for $5.75 per pounds

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Sanjay uses 225 N of force to move a wheelbarrow 18 m at a velocity of 1.8 m/s. What was the amount of power used?

Answers

The amount of power used when Sanjay applied a force of 225N to move a wheelbarrow over the given distance at a velocity of 1.8m/s is 405 watts.

What was the amount of power used to move the wheelbarrow?

Power is the quantity of energy transferred per unit time. The relationship between force, velocity and power is expressed aa;

P = F × v

Given the data in the question;

Force applied F = 225N = 225kgm/s²Distance moved s = 18mVelocity v = 1.8m/sPower = ?

To find the amount of power used, plug the given values into the above formula and solve for P.

P = F × v

P = 225kgm/s² × 1.8m/s

P = 225kgm²/s³ × 1.8

P = 405kgm²/s³

Power P = 405W

Therefore, the amount of power used by Sanjay is 405 watts.

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Daniel and his three friends are sharing the cost of a pizza. The pizza costs $13.00. If Daniel has
$5.00, how much will he have left after he pays his share?

Answers

Answer: 1.75

Step-by-step explanation:

13/4 = 3.25

5.00-3.25

1.75

Can somebody help me with question number 4?

Answers

nswer:

[tex]\begin{gathered} x\text{ = -4} \\ y\text{ = 3} \end{gathered}[/tex]

Explanation:

ere, we want to solve the syastem of linear equations simultaneously by elimination

We have this as:

[tex]\begin{gathered} -4x+\text{ 3y = 25} \\ 6x-5y\text{ = -39} \end{gathered}[/tex]

We start by multiplying the first equation by 6 and the second by 4. We have this as:

[tex]\begin{gathered} -24x\text{ + 18y = 150} \\ 24x-20y\text{ = -156} \end{gathered}[/tex]

Add both equations as follows:

[tex]\begin{gathered} -2y\text{ = -6} \\ y\text{ = }\frac{-6}{-2}\text{ = 3} \end{gathered}[/tex]

To get x, we multiply the first equation by 5 and the second by 3

We have this as:

[tex]\begin{gathered} -20x\text{ + 15y = 125} \\ 18x-15y=-117 \end{gathered}[/tex]

We proceed to add both equations:

[tex]\begin{gathered} -2x\text{ =8} \\ x\text{ = }\frac{8}{-2} \\ x\text{ = -4} \end{gathered}[/tex]

At the city museum, child admission is $6.00 and adult admission is $9.60. On Sunday, twice as many adult tickets as child tickets were sold, for a total sales of $630.00. How many child tickets were sold that day?

Answers

Answer:

25 child tickets and 50 adult tickets

Step-by-step explanation:

Let c be the number of child tickets and a be the number of adult tickets. We have this system of equations:

6.00c + 9.60a = 630.00

a = 2c

Substitute 2c for a in the top equation:

6.00c + 9.60(2c) = 630.00

6.00c + 19.20c = 630.00

25.20c = 630.00

c = 25, a = 50

How many units are (-2,-3) & (5,7) from each other on the coordinate plane

Answers

Let's begin by listing out the information given to us:

(x, y) = (-2, -3), (5, 7)

The distance between the two points is given by:

[tex]\begin{gathered} d=\sqrt[]{\mleft(\mleft(x_2-x_1\mright)^2+\mleft(y_2-y_1\mright)^2\mright)} \\ d=\sqrt[]{(5--2)^2+(7--3)^2} \\ d=\sqrt[]{7^2+10^2} \\ d=\sqrt[]{49+100} \\ d=12.207\approx12.21 \\ d=12.21 \end{gathered}[/tex]

What happens to the x and y-values when you translate an object up?

Answers

When we translate an object up, the values of x remain the same, but the values of y change by a positive value.

for each of the points identify the axis or constant where the point is located 8.7 and 2.3 

Answers

The given points are located in the 1st quadrant.

How to determine which quadrant?

Refer to the attachment.

Since the two points x or abscissa = 8.7 and ordinate or y axis = 2.3 and  both the numbers are positive thus they belong to the First quadrant.

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what is the image point (6,-9) after the rotation of 270 degrees counterclockwise about the origin

Answers

Image of the point (6,-9) after rotation in the cartesian plane of 270 degrees counterclockwise about the origin will be (-9, -6)

As per the question statement, we are supposed to find the image of the point (6,-9) after rotation in the cartesian plane of 270 degrees counterclockwise about the origin.

We should know that a 270° anticlockwise rotation is exactly the same thing as a 90° clockwise rotation.

So the point (x, y) becomes (y, -x)

So the image of the point (6,-9) after rotation in the cartesian plane of 270 degrees counterclockwise about the origin will be (-9, -6)

Cartesian Plane: A Cartesian coordinate system in a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates. These numerical coordinates are the signed distances from two fixed perpendicular oriented lines to the point, measured in the same unit of length.

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Use the drawing tool(s) to form the correct answer on the provided graph.
The rectangle shown is dilated by a scale factor of 1.5 with the origin as the center of dilation.
Draw the resulting rectangle.

Answers

If the rectangle shown is dilated by a scale factor of 1.5 with the origin as the center of dilation , then the resulting rectangle is shown below .

In the question ,

From the figure given below , we can see that the coordinates of the rectangle are (4,2) , (4,4) , (-2,2) , (-2,4)  .

let us name the coordinates of the rectangle  as A(4,2) , B(4,4) , C(-2,4) , D(-2,2)  .

and to dilate the rectangle by a scale factor of 1.5 with center of dilation at the origin , we multiply coordinates of the original shape with the dilation factor

so the rule to describe the dilation will be

(x,y)→(1.5x,1.5y)

Using this rule to find the new coordinates of the rectangle A'B'C'D'  .

When A = (4,2)

A' = (1.5*4,1.5*2)

A' = (6,3)

When B = (4,4)

B' = (15*4,1.5*4)

B' = (6,6)

When C = (-2,4)

C' = (1.5*(-2),1.5*4)

C' = (-3,6)

When D = (-2,2)

D'  = (1.5*(-2),1.5*2)

D' = (-3,3)

So the coordinates of the rectangle A'B'C'D' is A' = (6,3) , B' = (6,6) , C' = (-3,6) , D' = (-3,3) .

the new resulting rectangle is drawn below

Therefore , if the rectangle shown is dilated by a scale factor of 1.5 with the origin as the center of dilation , then the resulting rectangle is shown below .

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List the first 6 multiples of 8

Answers

Answer: 8, 16, 24, 32, 40, 48

Step-by-step explanation:

because if you add all of those numbers up, that's what you get.

Answer:

8 - 16 - 24 - 32 - 40 - 48

Step-by-step explanation:

8 x 1 = 8

8 x 2 = 16

8 x 3 = 24

8 x 4 = 32

8 x 5 = 40

8 x 6 = 48

Which statements about the line that passes through (-2, 0) and (2, -4) are true? Select all that apply.
OA. The slope of the line is 1.
B. The line intersects the y-axis at (0, -2).

Answers

Considering the expression of a line, the statements:

"The line intersects the y-axis at (0, −2).""The equation of the line is y = −x − 2.""The line intersects the x-axis at (−2, 0)."

about the line that passes through (-2, 0) and (2, -4) are true.

Linear equation

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of said line can be calculated using the following expression:

m= (y₂ - y₁)÷(x₂ - x₁)

Substituting the value of the slope m and the value of one of the points in the expression of a linear equation, y = mx + b, the value of the ordinate to the origin b can be obtained.

This case

Being (x₁, y₁)= (-2, 0) and (x₂, y₂)= (2, -4), the slope m can be calculated as:

m= (-4 - 0)÷(2 - (-2))

m= (-4)÷ 4

m= -1

Considering point 1 and the slope m, you obtain:

0= -1×(-2) + b

0= 2 +b

-2= b

Finally, the equation of the line that passes through the pair of points (-2,0) and (2,-4) is y= -x -2, wich has a slope of -1. The line intersects the x-axis at (−2, 0).

If x=0, you get:

0= -x -2

2= -x

2÷ (-1)=x

-2= x

Finally, the line line intersects the y-axis at (0, −2).

Your question was incomplete. Please check below the full content.

Which statements about the line that passes through (−2, 0) and (2, −4) are true? Select all that apply.

A. The slope of the line is 1.

B. The line intersects the y-axis at (0, −2).

C. The equation of the line is y = −x − 2.

D. The line intersects the x-axis at (−2, 0).

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To find the solution to |3x + 2|= 4, which two equations must you solve?

Answers

Answer:

YOU MUST SOLVE   ---> |3x + 2|

Step-by-step explanation:

|3x + 2| = 4

-2          -2

3x = 4

x = 0.75

HOPE this HELPED

If x + 1/x = 83, find the value of x^2 + 1/x^2​

Answers

Answer:

6887

Step-by-step explanation:

given

x + [tex]\frac{1}{x}[/tex] = 83 ( square both sides )

(x + [tex]\frac{1}{x}[/tex] )² = 83² = 6889 ← expand factor on left using FOIL

x² + 2( x × [tex]\frac{1}{x}[/tex] ) + [tex]\frac{1}{x^2}[/tex] = 6889

x² + 2(1) + [tex]\frac{1}{x^2}[/tex] = 6889 ( subtract 2 from both sides )

x² + [tex]\frac{1}{x^2}[/tex] = 6887

Ms.Vega read 20% of the Star Wars book. She read 8 pages of the book

Answers

The total number of the pages in the star war book which Ms. Vega is reading is 40.

percentage- a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part.

Let the number of pages = X

percentage of read pages = 20%

Number of read pages by her = 8

to find the total number in star war book

20% of X  = 8

20/100 x X = 8

X = (8 x 100)/ 20

X = 4 X 10

X = 40  

Total number of pages in star war book is 40.

The question is incomplete the complete question is

Ms. Vega read  20% 8of the Star Wars book. She read  8 pages of the book. Write pages in the Star Wars book.

The total number of the pages in the star war book which Ms. Vega is reading  is 40.

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I will give brainliest, like and rating if u solve this right

If f(x) = x³+ 3x² + 4x + 5 and g(x) = 5, then g (f(x)) =_? ​

Answers

g (f(x)) = 5^3 + 3(5)^2 + 4(5) + 5=

125 + 75 + 20 + 5 = 225

225 would be your answer. I am pretty sure this would be your answer, if not, please let me know!

I have been stuck in this problem for 2 hours please help

Answers

We need to find the values of "x" and "y" from two triangles that are congruent. If the triangles are congruent it means that the corresponding angles are equal. This means that angle R and angle N are the same, and from the angle sum theorem w know that the interior angles of triangle QPR sum 180, that is mathematically:

[tex](9x-18)+84+\angle R=180[/tex]

Since angle N is 3x+y, we replace that in the equation:

[tex](9x-18)+84+(3x+y)=180[/tex]

Simplifying we get:

[tex]\begin{gathered} 12x+y+66=180 \\ 12x+y=180-66 \\ 12x+y=114,\text{ (1)} \end{gathered}[/tex]

That gives us equation (1), but we need another equation since we have two variables. The other equation we get it from angles L and P, since this two angles must be equal. So we get the following equation:

[tex]4x+17=9x-18[/tex]

Solving for "x", we get:

[tex]\begin{gathered} 4x-9x=-18-17 \\ -5x=-35 \\ x=-\frac{35}{-5}=7 \end{gathered}[/tex]

The value of "x" is 7. Now we input this value in equation (1), like this:

[tex]\begin{gathered} 12x+y=114 \\ 12(7)+y=114 \\ 84+y=114 \end{gathered}[/tex]

Solving for "y", we get:

[tex]\begin{gathered} y=114-84 \\ y=30 \end{gathered}[/tex]

therefore, the value of "y" is 30.

There are 6 triangles and 15 squares. What is the simplest ratio of triangles to squares?

Answers

Answer:

2:5

Step-by-step explanation:

6:15= 2:5

6 divided by 3 = 2
15 divided by 3 = 5
2:5

Solve for Lowercase w

Answers

The answer is two w minus five b over k also known as 2W-5b/k = w

1)
Solve the equation for y. Then, complete the
5x + 4y = 20
y=
Preview
20

Answers

Answer:

-5/4

Step-by-step explanation:

debemos de usar la ecuacion dy/dx

What is the income distribution of super shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. In the following table, income units are in thousands of dollars, and each interval goes up to but does not include the given high value. The midpoints are given to the nearest thousand dollars.
Income range 5-15 15-25 25-35 35-45 45-55 55 or more
Midpoint x 10 20 30 40 50 60
Percent of super shoppers 22% 13% 21% 17% 20% 7%
A button hyperlink to the SALT program that reads: Use SALT.
(a) Using the income midpoints x and the percent of super shoppers, do we have a valid probability distribution? Explain.
No. The events are indistinct and the probabilities sum to more than 1.
Yes. The events are distinct and the probabilities do not sum to 1.
Yes. The events are distinct and the probabilities sum to 1.
Yes. The events are indistinct and the probabilities sum to less than 1.
No. The events are indistinct and the probabilities sum to 1.
Correct: Your answer is correct.

(b) Use a histogram to graph the probability distribution of part (a). (Because the data table has summarized the data into categories, use SALT to create a bar chart.)
Maple Generated Plot Maple Generated Plot
Maple Generated Plot Maple Generated Plot
Correct: Your answer is correct.

(c) Compute the expected income of a super shopper. (Round your answer to two decimal places.)
=

Incorrect: Your answer is incorrect.
thousands of dollars

(d) Compute the standard deviation for the income of super shoppers. (Round your answer to two decimal places.)
=

Incorrect: Your answer is incorrect.
thousands of dollars

Answers

From the given probability distribution, it is found that:

a) Yes. The events are distinct and the probabilities sum to 1.

b) The histogram is given at the end of the answer.

c) The mean is of 32.1.

d) The standard deviation is of 16.02.

What is the probability distribution?

Using the midpoint rule, the distribution is given as follows:

P(X = 10) = 0.22.P(X = 20) = 0.13.P(X = 30) = 0.21.P(X = 40) = 0.17.P(X = 50) = 0.20.P(X = 60) = 0.07.

The outcomes are distinct, and their sum is of:

0.22 + 0.13 + 0.21 + 0.17 + 0.20 + 0.07 = 1.

Hence it represents a probability distribution.

The mean is given by the sum of each outcome multiplied by it's respective probability, hence:

E(X) = 10 x 0.22 + 20 x 0.13 + 30 x 0.21 + 40 x 0.17 + 50 x 0.20 + 60 x 0.07 = 32.1

The standard deviation is the square root of the sum of the difference squared between each observation and the mean, multiplied by it's respective probability, hence:

S(X) = sqrt((10-32.1)² x 0.22 + (20-32.1)² x 0.13 + (30-32.1)² x 0.21 + (40-32.1)² x 0.17 + (50-32.1)² x 0.20 + (60-32.1)² x 0.07) = 16.02.

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Which has a terminal point of (square root 2/2 and square root 2/2). What is the terminal point of 5pi/4?

Answers

[tex]\text{(-}\frac{\sqrt[]{2}}{2},\text{ -}\frac{\sqrt[]{2}}{2})\text{ (option C)}[/tex]

Explanation:[tex]\begin{gathered} \text{terminal point of }\frac{\pi}{4}\text{ is (}\frac{\sqrt[]{2}}{2},\text{ }\frac{\sqrt[]{2}}{2}) \\ \text{ }\frac{\pi}{4}\text{ in degr}es\text{ = 45}\degree \end{gathered}[/tex]

To find 5π/4 as terminal point, we will take the angle as 5π/4

The first coordinate is the x coordinate = cos θ

The second coordinate is the y coordinate = sin θ

[tex]\begin{gathered} We\text{ n}eed\text{ to convert the angle to degre}e\colon \\ 1\pi\text{ rad = 180}\degree \\ \frac{5\pi}{4}\text{ rad = 225}\degree \\ \\ sin\text{ is negative in third quadrant} \\ 225\text{ - 180 = 45} \\ \sin \text{ 45 = }\frac{\sqrt[]{2}}{2} \\ \\ \sin \text{ 225}\degree\text{ =- }\frac{\sqrt[]{2}}{2} \end{gathered}[/tex][tex]\begin{gathered} \theta\text{ = 225}\degree\text{ }is\text{ in third quadrant} \\ \\ 180\text{ -225 = 45}\degree \\ \cos \text{ 45}\degree\text{ = }\frac{\sqrt[]{2}}{2} \\ \text{ 225 is negative in third quadrant} \\ \\ \cos \text{ 225}\degree\text{ =- }\frac{\sqrt[]{2}}{2} \end{gathered}[/tex]

Hence, the terminal of 5π/4:

[tex]\text{(-}\frac{\sqrt[]{2}}{2},\text{ -}\frac{\sqrt[]{2}}{2})\text{ (option C)}[/tex]

PLS HELP MEEEEEEEEEEEEEEEEEEEEE PLS I BEG U
how could you use a graph of a proportional relationship to find any ratio in the the proportional relationship why does this work?

Answers

The fact that a connection is proportional if its graph is a line that runs through its origin should be stressed. This can be used to find the ratio in the proportional relationship.

How to explain the information?

When the graph of a connection is a line passing through the origin, the connection is proportionate. If it is not a line or ray that fails to do this, the ratio is not proportional. The equation for the proportionality constant is K = y/x. This is the same equation used to get the slope of a straight line with respect to the origin.

If the graph of a relationship is a line or ray that goes through the origin, the relationship is proportional. If the line or ray does not pass through the origin, it is not proportional.

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Use the table of values for
y = f(x)
to complete a table for
y = f −1(x).
(Order your answers from smallest to largest x-value.)

Answers

The table containing the values of the inverse function is given at the end of the answer.

How to find the set of points (x,y) of a inverse function?

A function will have a set of points (x,y). In the inverse function, the values of x and y are exchanged with each other, hence the rule is:

(x,y) -> (y,x).

Hence, the points are found as follows:

On the original function, when x = -4, f(x) = 10. Then, on the inverse function, when x = 10, f^-1(x) = -4.On the original function, when x = -3, f(x) = 0. Then, on the inverse function, when x = 0, f^-1(x) = -3.On the original function, when x = -2, f(x) = -10. Then, on the inverse function, when x = -10, f^-1(x) = -2.On the original function, when x = -1, f(x) = -20. Then, on the inverse function, when x = -20, f^-1(x) = -1.On the original function, when x = 0, f(x) = -30. Then, on the inverse function, when x = -30, f^-1(x) = 0.On the original function, when x = 1, f(x) = -40. Then, on the inverse function, when x = -40, f^-1(x) = 1.

The table containing these values is given at the end of the answer.

What is the missing information?

The tables are missing, and are given at the end of the answer.

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Nautical flags are used to communicate on
ships. Kimani uses the
scale drawing at the
right to sew a nautical Z flag. The scale from
her flag to the drawing is 20
Each color is
4
of the flag. How many square inches of
each color of fabric does Kimani need?

Answers

Answer:

5

Step-by-step explanation:

according to my own understanding since her flag to the drawing is 20. each colour is 4,then u divide 20 by 4. The answer is 5

Find the equation (in terms of xx ) of the line through the points (-4,1) and (5,-3)

Answers

[tex]y=-\frac{4}{9}x-\frac{7}{9}[/tex]

EXPLANATION

Given two points of a line, we can find the the equation of that line using the steps below:

• Step 1

Determine the slope of the line, using the formula below:

[tex]\text{slope(m)}=\frac{y_2-y_1}{x_2-x_1}[/tex]

The points given are (-4, 1) and (5, -3). This implies that the coordinates are

x₁= -4 y₁=1 x₂=5 y₂=-3

Substitute the values into the formula and simplify.

[tex]m=\frac{-3-1}{5+4}=-\frac{4}{9}[/tex]

• Step 2

Determine the y-intercept(b) of the line.

Substitute x₁= -4 y₁=1 and m=-4/9 into y=mx + b and solve for intercept(b).

1 = (-4/9)(-4) + b

[tex]1=\frac{16}{9}+b[/tex]

Subtract 16/9 from both-side of the equation.

[tex]b=1-\frac{16}{9}[/tex]

[tex]b=\frac{9-16}{9}=-\frac{7}{9}[/tex]

The intercept (b) = -7/9

• Step 3

Form the equation by substituting the value of the slope and intercept into y=mx + b.

Hence, the equation of the line is:

[tex]y=-\frac{4}{9}x-\frac{7}{9}[/tex]

Find the surface area and volume of the hemisphere FormulaSA = 3 * 3.14 * r^2V = 2/3 * 3.14 * r^3

Answers

ANSWER

[tex]\begin{gathered} SA=98\pi ft^2 \\ V=228.7\pi ft^3 \end{gathered}[/tex]

EXPLANATION

To find the surface area of the hemisphere, we apply the formula for the surface area of a hemisphere (without a base):

[tex]SA=2\cdot\pi\cdot r^2[/tex]

where r = radius = 7 ft

Therefore, the surface area of the hemisphere is:

[tex]\begin{gathered} SA=2\cdot\pi\cdot7^2 \\ SA=98\pi ft^2 \end{gathered}[/tex]

To find the volume of the hemisphere, we apply the formula for the volume of a hemisphere:

[tex]V=\frac{2}{3}\cdot\pi\cdot r^3[/tex]

Therefore, the volume of the hemisphere is:

[tex]\begin{gathered} V=\frac{2}{3}\cdot\pi\cdot7^3 \\ V=228.7\pi ft^3 \end{gathered}[/tex]

A = P(1+r) solve for r

Answers

Answer:

50

Step-by-step explanation:

csehufe;whweih/a=r+9+9
_(&*%^&*&^%^&*765678987654567890(*&*()_)(*()_(*()_+=9

In 2008, 1.7m iPhones were sold. In 2012, 35.2m iPhones were sold. Assuming the sales of iPhones increases exponentially, how many iPhones should be expected to be sold in 2017?

Answers

The number of iPhones that should be sold in 2017 (since growth is exponential) is $ 6,476,635 x 10⁶. See the explanation below.

What is exponential Growth?

Exponential growth is a data pattern that exhibits greater increases with time. Compounding produces exponential profits in finance. Compounding interest savings accounts may provide exponential growth.

The calculation for the above solution is as follows:

Recall that the formula for exponential growth is:

f(x) = a (1+r)ˣ

Where:

f(x) = exponential growth function

a = initial amount

r = growth rate

{x} = number of time intervals

Hence f(x) = 1.7 (1+ r)⁵

Note that x = 2017-2012 =5

r = (present value - past value)/ past value

Present value = 35.2

Past Value = 1.7

Hence r = (35.2-1.7)/1.7

r = 19.7058823529

Approximately 19.71

Hence,

f(x) = 1.7 (1+ 19.71)⁵

= 1.7 (20.71)⁵

= 1.7 x 3809785.2361

= 6476634.90137

Which is approximately = 6,476,635

Recall that our computation was done in millions hence the answer if left in standard notation is:

Increase in 2017 = $ 6,476,635 x 10⁶

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Houston wants to play the "Guess your weight" game at the Strawberry Festival. If the guess is not within 10 pounds of his actual weight, Houston wins a prize. Houston weighs 102 pounds.

Write an equation to represent this situation. Use the equation to determine the greatest and least guesses that can be made without Houston winning a prize?

Answers

An equation to represent this situation is |x - 102| = 10.

The greatest and least guesses that can be made without Houston winning a prize are 112 pounds and 92 pounds.

Given:

Actual Weight of Houston = 102 pounds

Now, if the guess is not within 10 pounds of his actual weight, Houston wins a prize.

An equation to represent this situation can be written as,

|x - 102| = 10

As we know a modulus function always generates a positive value.

We need the difference between the guessed weight and the actual weight to be exactly 10 pounds so we have applied modulus in the equation.

Now we utilize the above equation to determine the greatest and least guesses that can be made without Houston winning a prize.

The greatest guessed weight will be,

x - 102 = 10 ⇒ x = 102 + 10 ⇒ x = 112 pounds

The least guessed weight will be (the modulus value will be negative in this case)

-x + 102 = 10 ⇒ x = 102 - 10 ⇒ x = 92 pounds

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