Jim went to a carnival with $25.00. He bought some food for $3.75. Jim wants to spend the rest of his money on tickets for rides, r, which cost $1.25 each. Which represents, r, the number of tickets Jim can purchase?

(A) r is < than equal to 17

(B) r is > greater than equal to 17

(C) r is < less than equal to 20

(D) r is > greater than equal to 20

Answers

Answer 1

Answer:

(A) [tex]r[/tex]  is < than equal to 17

Step-by-step explanation:

Total amount Jim had for the carnival =$25.00

Amount spent on food = $3.75

Amount left with him = [tex]\$25.00-\$3.75=\$21.25[/tex]

Jim plans to sped rest on tickets for rides.

Cost of each ride ticket = $1.25

Given: [tex]r[/tex] represents the number of ride tickets bought.

Using unitary method

If 1 ride ticket cost = $1.25

Cost of [tex]r[/tex] ride tickets in dollars will be = [tex]1.25r[/tex]

Amount spent on rides must be less than or equal to the total amount left with Jim which is =$21.25.

So, we have:

⇒ [tex]1.25r\leq 21.25[/tex]

Dividing both sides by 1.25.

⇒ [tex]\frac{1.25r}{1.25}\leq \frac{21.25}{1.25}[/tex]

∴ [tex]r\leq 17[/tex]

Thus, the inequality representing te number of tickets Jim can purchase is given by:

[tex]r\leq 17[/tex]


Related Questions

Determine weather the rule represents an exponential function. EASY 40 POINTS

Answers

Answer: Since the independent variable x is not the exponent, y = 3x^3 is not an exponential function (choice D)

Exponential functions are something like y = 2^x where the variable is in the exponent (ie the exponent isnt a fixed number). What is given here, y = 3x^3, is a cubic function. You can also call this a power function. Power functions are of the form a*x^b, where a & b are constants.

Simplify (3a^n)^3 times (1/3a^n)^3

Answers

Answer:

3

Step-by-step explanation:

From the given indices

(3a^n)^3 X (1/3a^n)^3

We can rewrite the equation to be

(3a^n)^3 X (3a^-n) ^3

We father simplify;

3a^3n X 3a^-3n

Since we have same base, we add their relative powers, we solve thus,

3a^(3n-3n)

= 3a^0

= 3 X a^0 = 3 X 1

=1

if (m,2m+1) is a solution of the equation 4x +2y=8 then the value of m is

Answers

Answer:

m = 0.75

Step-by-step explanation:

Since (m, 2m + 1 ) is a solution of the equation then substituting the values into the equation will make it true, that is

substitute x = m and y = 2m + 1 into the equation, thus

4m + 2(2m + 1) = 8 ← distribute and simplify left side

4m + 4m + 2 = 8

8m + 2 = 8 ( subtract 2 from both sides )

8m = 6 ( divide both sides by 8 )

m = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex] = 0.75

Two perpendicular lines have opposite y-intercepts. The equation of one of these lines is

y=mx+b. Express the x-coordinate of the intersection point of the lines in terms of m and b.


The x-coordinate is x =_____

Plz help me and fast!

Answers

Answer:  The required x-co-ordinate of the point of intersection of two lines is [tex]-\dfrac{2bm}{m^2+1}.[/tex]

Step-by-step explanation:  Given that two perpendicular lines have opposite y-intercept and the equation of one of the lines is

[tex]y=mx+b.[/tex]

We are to express the x-coordinate of the intersection point of the lines in terms of m and b.

Let the slope and y-intercept of the other line be s and c respectively.

Since the product of the slopes of two perpendicular lines is -1 and -b is the opposite of b, so we have

[tex]ms=-1~~~\Rightarrow s=-\dfrac{1}{m}[/tex]

and c = -b.

That is, the equation of the other line is

[tex]y=sx+c\\\\\Rightarrow y=-\dfrac{1}{m}-b.[/tex]

Comparing the equations of both the lines, we get

[tex]mx+b=-\dfrac{1}{m}x-b\\\\\\\Rightarrow mx+\dfrac{1}{m}x=-2b\\\\\\\Rightarrow \dfrac{m^2+1}{m}x=-2b\\\\\\\Rightarrow x=-\dfrac{2bm}{m^2+1}.[/tex]

Thus, the required x-co-ordinate of the point of intersection of two lines is [tex]-\dfrac{2bm}{m^2+1}.[/tex]

Final answer:

The x-coordinate of the intersection point for two perpendicular lines with opposite y-intercepts can be expressed as x = -2b/(m + 1/m), where m is the slope and b is the y-intercept of one of the lines.

Explanation:

When we have two perpendicular lines with opposite y-intercepts, and one of the lines has the equation y = mx + b, we can find the x-coordinate of the intersection point by expressing the other line's equation.

Since the other line is perpendicular, its slope will be the negative reciprocal of m. Therefore, if the first line's slope is m, the second line's slope will be -1/m. Also, if the y-intercept of the first line is b, the y-intercept of the second line will be -b, given that they are opposite.

The equation of the second line will then be y = (-1/m)x - b. To find the intersection point, we set the y-values of both equations equal to each other:

mx + b = (-1/m)x - b

Now, let's solve for x:

mx + (1/m)x = -2b

x(m + 1/m) = -2b

x = -2b/(m + 1/m)

Thus, the x-coordinate of the intersection point in terms of m and b is x = -2b/(m + 1/m).

How can you add 3/10+2/5

Answers

Answer:

7/10

Step-by-step explanation:

3/10+2/5=3/10+4/10=7/10

Answer: 7/10

Step-by-step explanation: To add these two fractions together, we start by finding their common denominator.

The common denominator for 10 and 5 will be the least common multiple of 10 and 5 which is 10.

Since 10 already has a 10 in the denominator, it stays the same.

We multiply top and bottom of our second fraction by 2 and we get 4/10.

Now we are adding like fractions so we simply add across the numerators and keep the same denominator.

So, 3/10 + 4/10 = 7/10.

Therefore, 3/10 + 2/5 = 7/10.

On a school trip the ratio of the number of teachers to number of students is1:15.the ratio of the number of male students to the number of female students is 7:5 work out what percentage of all the people on the trip are female students

Answers

Answer:

Step-by-step explanation:

The percentage is 59 percent males 41 percent females

Which equation represents a linear function?
oy-2=-5(x - 2)
X+ 7 = -4(X + 8)
y - 3 = y(x + 4)
y + 9 = x(x - 1)

Answers

Answer:

[tex]y-2=-5(x - 2)[/tex]

Step-by-step explanation:

Given:

The equations given are:

[tex]y-2=-5(x - 2)\\X+ 7 = -4(X + 8)\\y - 3 = y(x + 4)\\y + 9 = x(x - 1)[/tex]

Now, a linear function is of the form:

[tex]y=mx+b[/tex]

Where, 'm' and 'b' are real numbers and [tex]m\ne0[/tex]

Equation 1: [tex]y-2=-5(x - 2)[/tex]

Simplifying using distributive property, we get:

[tex]y-2=-5x+10\\y=-5x+10+2\\y=-5x+12[/tex]

The above equation is of the form [tex]y=mx+b[/tex]. So, it represents a linear function.

Equation 2: [tex]X+ 7 = -4(X + 8)[/tex]

Here, both sides of the equation has same variable 'X'. So, it will form an equation of 1 variable. So, it's not a linear function.

Equation 3: [tex]y - 3 = y(x + 4)[/tex]

Simplifying the above equation. This gives,

[tex]y-3=yx+4y\\y-4y-yx=3\\y(1-4-x)=3\\y(-3-x)=3\\y=\frac{3}{(-3-x)}[/tex]

This is not of the form of the linear function. So, it is also not a linear function.

Equation 4: [tex]y + 9 = x(x - 1)[/tex]

Simplifying the above equation. This gives,

[tex]y+9=x^2-x\\y=x^2-x-9[/tex]

This is not of the form of the linear function. So, it is also not a linear function.

Answer:

A

Step-by-step explanation:

on edge 2020

find the equation of a straight line passing through the point (3,3) which is perpendicular to the line y=-1/2x-4

Answers

Answer:

y = 2x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

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

with slope m = - [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (3, 3) into the partial equation

3 = 6 + c ⇒ c = 3 - 6 = - 3

y = 2x - 3 ← equation of perpendicular line

The equation of the line passing through (3, 3) and perpendicular to y = -1/2x - 4, is y = 2x - 3.

To find the equation of a straight line passing through the point (3, 3) which is perpendicular to the line y = -1/2x - 4, follow these steps:

Determine the slope of the given line. The slope of y = -1/2x - 4 is -1/2.Find the slope of the perpendicular line. The slope of the perpendicular line is the negative reciprocal of -1/2, which is 2.Use the point-slope form of the equation of a line, y - y₁ = m(x - x₁), where (x₁, y₁) is the point (3, 3) and m is the slope (2).Substitute the values 2 for m and (3, 3) for (x₁, y₁): y - 3 = 2(x - 3).Simplify the equation: y - 3 = 2x - 6.Rewrite it in slope-intercept form: y = 2x - 3.

Therefore, the equation of the line passing through the point (3, 3) and perpendicular to the line y = -1/2x - 4 is y = 2x - 3.

The highest temperature ever recorded on earth was 136 ferinheit the lowest was -129 ferinheit plot each temperature as an integer on a number line and use absolute value to determine the difference between the two temperatures

Answers

Answer:

265 Fahrenheit.

Step-by-step explanation:

It is given that,

Highest temperature ever recorded on earth = 136 Fahrenheit

Lowest temperature = -129 Fahrenheit

We need to plot these temperature as an integer on a number line.

136 is a positive integer. So, it lies 136 units on the right side of zero.

-129 is a negative integer. So, it lies 129 units on the left side of zero.

According to absolute values, |x|=|-x|=x.

Absolute value of 136 and -129 are

[tex]|136|=136[/tex]

[tex]|-129|=129[/tex]

The difference between he two temperatures is

[tex]|136-(-129)|=|136+129|=265[/tex]

Therefore, the difference between he two temperatures is 265 Fahrenheit .

Given an arithmetic sequence with a3=5 and a5=19, find the 24th term.

Answers

The 24th term is 152

Step-by-step explanation:

The formula of the nth term of an arithmetic sequence is:

[tex]a_n=a+(n-1)d[/tex] , where

a is the first termd is the common difference between consecutive terms

The third term means n = 3

∵ [tex]a_3=a+(3-1)d[/tex]

∴ [tex]a_3=a+2d[/tex]

∵ [tex]a_3[/tex] = 5

- Equate the right hand sides of the third term

a + 2d = 5 ⇒ (1)

The fifth term means n = 5

∵ [tex]a_5=a+(5-1)d[/tex]

∴ [tex]a_5=a+4d[/tex]

∵ [tex]a_5[/tex] = 19

- Equate the right hand sides of the fifth term

a + 4d = 19 ⇒ (2)

Now we have a system of equations to solve it

Subtract equation (1) from equation (2) to eliminate a

∴ 2d = 14

- Divide both sides by 2

d = 7

- Substitute the value of d in equation (1) to find a

∵ a + 2(7) = 5

∴ a + 14 = 5

- Subtract 14 from both sides

a = -9

The twenty fourth term means n = 24

∵ a = -9 and d = 7

- Substitute the values of a and d in the formula of the nth term

∴ [tex]a_24=-9+(24-1)(7)[/tex]

∴ [tex]a_24=-9+(23)(7)[/tex]

∴ [tex]a_24=-9+161[/tex]

∴ [tex]a_24=152[/tex]

The 24th term is 152

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What is x if 3x − 1 divided 4 = −5?

Answers

Answer:

x=-19/3

Step-by-step explanation:

(3x-1)/4=-5

3x-1=-5*4

3x-1=-20

3x=-20+1

3x=-19

x=-19/3

Answer:

Step-by-step explanation:

3x-1/4=-5

3x-0.25=-5

3x=-5.25

x=-1.75

Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations).

Answers

Final answer:

The question focuses on Mathematics, specifically Geometry and Calculus. It requires calculating the area of geometric figures especially circles and disks in terms of π, often via the formula A=πr² or integration.

Explanation:

From the question, we are required to find the area of shaded parts, which essentially associates with geometric figures and their properties in Mathematics. Specifically, this question appears to focus on areas related to circles and spheres, as it mentions calculations in terms of π, radius (r) and certain formulas like A=πr², which is the formula for the area of a circle.

When asked to express something in terms of π, it typically means leaving the answer as multiples of π, rather than using its decimal equivalent. So for instance, if we calculated the area of a circle with a radius of 3 using A=πr², we would say that the area is .

Another crucial information that surfaced in the materials provided is the area calculation using integration, which involves adding up the individual areas of 'thin rings' from r=0 to r=R where R is the total radius of the disk or circle. This is an important aspect of finding areas under curves or finding areas enclosed by curves in Calculus.

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The area of the shaded regions is [tex]\(8\pi - 8\)[/tex] square centimeters.

To find the area of the shaded regions in the circle with the inscribed triangle, we'll follow these steps:

1. Calculate the Area of Sector AOC:

  - The sector's central angle is 90° because triangle AOC is right-angled at C.

  - The area of a sector is [tex]\( \frac{\theta}{360} \times \pi \times r^2 \)[/tex], where [tex]\( \theta \)[/tex] is the central angle and [tex]\( r \)[/tex] is the radius.

  - Here, [tex]\( r = 4 \) cm and \( \theta = 90° \).[/tex]

  - So, the area of sector AOC is [tex]\( \frac{90}{360} \times \pi \times 4^2 = \pi \times 4 \) cm^2.[/tex]

2. Calculate the Area of Triangle AOC:

  - The area of a triangle is [tex]\( \frac{1}{2} \times \text{base} \times \text{height} \).[/tex]

  - For triangle AOC, the base and height are both equal to the radius, which is 4 cm.

  - So, the area of triangle AOC is [tex]\( \frac{1}{2} \times 4 \times 4 = 8 \)[/tex] cm².

3. Calculate the Area of the Shaded Segment on the Opposite Side:

  - Subtract the area of triangle AOC from the area of sector AOC.

  - This gives us the area of the shaded segment: [tex]\( \pi \times 4 - 8 \)[/tex] cm².

Combining both shaded areas, the total area of the shaded regions is [tex]\( \pi \times 4 + (\pi \times 4 - 8) \)[/tex] cm², which simplifies to [tex]\( 8\pi - 8 \)[/tex] cm². Therefore, the area of the shaded regions is [tex]\( 8\pi - 8 \)[/tex] cm².

100 POINTS! PLEASE HELP!

What is the equation for the line?
Enter your answer in the box.

Answers

Answer:

[tex]y=-4x+5[/tex]

Step-by-step explanation:

Step 1:  Find the slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{13-5}{-2-0}[/tex]

[tex]m=-\frac{8}{2}[/tex]

[tex]m=-4[/tex]

Step 2:  Use point slope form

[tex](y-5) = -4(x-0)[/tex]

[tex]y-5 + 5=-4x + 5[/tex]

[tex]y=-4x+5[/tex]

Answer:  [tex]y=-4x+5[/tex]

y=-4x+5

Step-by-step explanation:

Step 1:  Find the slope

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{13-5}{-2-0}

m=-\frac{8}{2}

m=-4

Step 2:  Use point slope form

(y-5) = -4(x-0)

y-5 + 5=-4x + 5

y=-4x+5

Find 2x^2y if x=-1 and y=3

Answers

Answer:

6

Step-by-step explanation:

(-1)^2=(-1)(-1)=1

2(1)(3)=2*3=6

2x*2y

Replace x with -1 and y with 3

2(-1) * 2(3)

2*-1 = -2

2*3=6

Now multiply -2 with 6 and it should be -12.

Type the correct answer in the box

A component in a music system has a life expectancy of 2400 hours with a standard deviation of 300 hours. If an average person listens to

music for 1,000 hours in a year, the probability that the component lasts for more than 3 years is

Reset

Ned

2019 Ementum

seserved

Answers

If an average person listens to music for 1,000 hours in a year, the probability that the component lasts for more than 3 years is 2.3%.

In Mathematics and Statistics, the z-score of a given sample size or data set can be calculated by using the following formula:

Z-score, z = (x - μ)/σ

Where:

σ represents the standard deviation.

x represents the sample score.

μ represents the mean score.

Since an average person listens to music for 1,000 hours in a year, the total life span of the component for 3 years can be calculated as follows;

Total life span = 3 × 1000

Total life span = 3000 years.

By substituting the parameters into the z-score formula, we have the following:

Z-score, z = (3000 - 2400)/300

Z-score, z = 2.0

Based on the standardized normal distribution table, the required probability is given by:

P(X > 3000) = P(x > Z)

P(X > 3000) = 1 - P(Z < 2)

P(X > 3000) = 1 - 0.9773

Probability = 0.0227 × 100.

Probability = 2.27 ≈ 2.3%.

y= -5x+6 in standard form

Answers

Answer:

5x+y=6

Step-by-step explanation:

y=-5x+6

y-(-5x)=6

y+5x=6

5x+y=6

The equation in standard form can be written as; 5x+y=6

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Suppose the considered polynomial is of only one variable. Then, the standard form of that polynomial is the one in which all the terms with higher exponents are written on left side to those which have lower exponents.

We have given the equation as;

y=-5x+6

Now,

y-(-5x)=6

y+5x=6

The equation in standard form can be written as;

5x+y=6

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Roger drew one card from a standard deck of 52 cards. What is the probability that the card Roger drew is not a seven?

Answers

Answer: 12/13

Step-by-step explanation:

In a deck of cards there are 4 of each number. Therefore there are 4 sevens in the deck. 4/52 are 7, but you want the probability of getting a card that IS NOT 7. That means there are 48 cards that aren’t a 7. 48/52 is the probability. But you can simplify this by finding a number that divides evenly into both, which in this case is 4. This simplifies to 12/13.

Helpppp plzzz The frequency histogram shows the lengths of trails in a large park.

How many trails are less than 6 kilometers long or at least 24 kilometers long ?

Answers

Answer:

13 trails

Step-by-step explanation:

The histogram shows following numbers of trails:

0 - 6 km long - 5 trails;6 - 12 km long - 9 trails;12 - 18 km long - 7 trails;18 - 24 km long - 3 trails;24 - 30 km long - 4 trails;30 - 36 km long - 1 trail;36 - 42 km long - 3 trails.

So, there are 5 trails with length less than 6 km and 4 + 1 + 3 = 8 trails that are at least 24 km long.

In total, 5 + 8 = 13 trails

what is an equation in point-slope form of the line that passes through (–3 –1) and has a slope of 2​

Answers

Answer:

y+1=2(x+3)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-1)=2(x-(-3))

y+1=2(x+3)

please help me!! what's the expression in simplest form?​

Answers

Answer:

2a² - 2b - 1

Step-by-step explanation:

Given

- 5 + b + 2a² - 3b + 4 ← collect like terms

= 2a² + (b - 3b) + (- 5 + 4)

= 2a² + (- 2b) + (- 1)

= 2a² - 2b - 1

which is the coefficient in the expression 31y + 7 ?

Answers

Answer: 31

Step-by-step explanation: A coefficient is a number that appears in front of a variable. So in this case, since 31 appears in front of the variable y, 31 is the coefficient.

Now, you might think that 7 is a coefficient also but it's not. The reason it's not is because it doesn't have a variable attached to it so a coefficient needs to have a variable next to it.

Which of the following is NOT equivalent to the other three?
A
0.15

B
1520

C
75%

D
0.75
i need this for my finals ill give you brainlest

Answers

Answer:

The answer is A I just too the test

Step-by-step explanation:

Answer:

A) 0.15

Step-by-step explanation:

Because 15/20=3/4=75/100=75%=0.75.

a file that is 261 megabytes is being downloaded if the downloaded is 16.6% complete how many megabytes have been downloaded

Answers

43.326 megabytes has been downloaded

Solution:

Given that a file that is 261 megabytes is being downloaded

16.6 % of download is complete

To find: megabytes that have been downloaded

From given question,

16.6 % of 261 megabytes has been downloaded

Let us find 16.6 % of 261

We know that,

a % of b can be written in fraction as [tex]\frac{a}{100} \times b[/tex]

So 16.6 % of 261 is calculated as:

[tex]16.6 \% \text{ of }261 = 16.6 \% \times 261\\\\\rightarrow \frac{16.6}{100} \times 261\\\\\rightarrow 0.166 \times 261\\\\\rightarrow 43.326[/tex]

Thus 43.326 megabytes has been downloaded

fifteen friend want to share 3 watermelons equally. what fraction of a watermelon will each friend get?

Answers

Answer: 3/15 or 1/5

Step-by-step explanation:

Each person will get 1/15 of each watermelon so 3/15 of watermelon that can be simplified to 1/5

Final answer:

Each of the fifteen friends will receive ⅔ of a watermelon when 3 watermelons are shared equally among them.

Explanation:

If fifteen friends want to share 3 watermelons equally, we need to divide the total number of watermelons by the number of friends to find out what fraction of a watermelon each friend will get.

To find the answer, you start with 3 watermelons and divide them by 15 friends, which is:

3 watermelons ÷ 15 friends = ⅔ of a watermelon per friend.

Thus, each friend will get ⅔ of a watermelon.

If f(x) = x2 + x and g(x) = x - 3, find f(g(7)).
53
32
28
20

Answers

Answer:

Step-by-step explanation:

If we are looking for the composition of f(g(7)), we will start at the innermost part of the problem, which is to evaluate g(7).  That means that we put 7 in for x in the g function and come up with a solution to that first.

If g(x) = x - 3, then g(7) = 7 - 3 which is 4.  Now take that 4 and put it in for x in the f function:

f(4) = [tex](4)^2+4[/tex] which is 16 + 4 which is 20

Therefore, f(g(7)) = 20

Answer:

If we are looking for the composition of f(g(7)), we will start at the innermost part of the problem, which is to evaluate g(7).  That means that we put 7 in for x in the g function and come up with a solution to that first.

If g(x) = x - 3, then g(7) = 7 - 3 which is 4.  Now take that 4 and put it in for x in the f function:

f(4) =  which is 16 + 4 which is 20

Therefore, f(g(7)) = 20

Step-by-step explanation:

Jordan bikes at a speed of 8 2/3 mph. How many miles will he bike in:


45 minutes?

Answers

Answer:390 miles

Step-by-step explanation:

speed*time=distance (keep that in mind)

8 2/3 is also equal to 26/3

take that number and multiply that by 45 min

45*26/3

that equall 390 miles

(I tried my best, I might be wrong)

Answer:

13/2

Step-by-step explanation:

Keep in mind that speed*time=distance

ok so, if you convert 8 2/3 in to a improper fraction you'll get 26/3. Now we have to turn 45 minutes into a fraction so it's easier to multiply, that would be 45/60 because 1 hour has 60 minutes. Now, we would multiply 26/3 and 45/60 and get 78/12. Simplify that and get 13/2

р
с
о
1.
Convert the following equation to standard form: y = -3x + 2
— у = 2
3х + y = 2
о 3х + y = -2
о — 3 — у. = 2
ОО
в

Answers

9514 1404 393

Answer:

  3x +y = 2

Step-by-step explanation:

Standard form is ...

  ax +by = c

where a, b, c are mutually prime integers and the leading coefficient is positive.

We can put the equation in this form by adding 3x to both sides.

  y = -3x +2

  3x +y = 2 . . . . . add 3x to both sides. This is standard form.

answer and explanation please!

Answers

The value of x is 58°

Step-by-step explanation:

we can see in the figure that the triangle formed is a right-angled triangle

In a right-angled triangle, one angle is always 90 degrees and the other two angles are complementary i.e. their sum is 90 degrees

So,

Using the axiom

[tex]32 + x = 90\\x = 90-32\\x = 58[/tex]

Hence,

The value of x is 58°

Keywords: Triangles, angles

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can someone help me with this problem

[tex]4b + 3 = - 9[/tex]
we have to find what b is​

Answers

the answer to 4b+3=-9 is b=-3

Answer: b= -3

Step-by-step explanation:

Tony made this diagram
of his vegetable garden. What is the total area?
Explain your reasoning.

Answers

Answer:

The total area of Tony's vegetable garden is 124 square feet

Step-by-step explanation:

The total area of Tony's vegetable garden is composed by three rectangles.

1st rectangle

Length = 10 feet

Width = 6 feet (14 - 8)

Area = 6 * 10 = 60 square feet

2nd and 3rd rectangles are equals

Length = 4 feet

Width = 8 feet (14 - 6)

Area = 2 * 4 * 8 = 2 * 32 = 64 square feet

Total area

Area of the three rectangles

60 + 64 = 124 square feet

The total area of the vegetable garden is 124 ft.

A rectangle is a quadrilateral in which opposite sides are parallel and congruent to each other.

The area of a rectangle is the product of its length and width. It is given by:

Area = length * width

Area of the vegetable garden = (8 ft * 4 ft) + (8 ft * 4 ft) + (10 ft * (14 - 8)ft)

Area of the vegetable garden = 32 ft + 32 ft + 60 ft = 124 ft.

Therefore the total area of the vegetable garden is 124 ft.

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