I need an answer for 1,2,3,4,5, and 6

I Need An Answer For 1,2,3,4,5, And 6

Answers

Answer 1

Using alternate exterior angles,

[tex]3x-31=x+59\\\\2x=90\\\\x=45\\\\\implies 3x-31=x+59=104[/tex]

So,

[tex]\angle 1[/tex]: 76 degrees using linear pairs

[tex]\angle 2[/tex]: 104 degrees using corresponding angles

[tex]\angle 3[/tex]: 76 degrees using vertical angles

[tex]\angle 4[/tex]: 104 degrees using same-side interior angles

[tex]\angle 5[/tex]: 76 degrees using linear pairs

[tex]\angle 6[/tex]: 76 degrees using vertical angles


Related Questions

katie placed $2500 in a savings account compounded annually at 1.75%. what is the value of her account after 4 years?

Answers

We can solve this question using the formula for compound interest:

[tex]F=P\cdot(1+i)^n[/tex]

F = ?

P = $2500

i = 1.75

n = 4

Then, we have:

[tex]F=2500\cdot(1+\frac{1.75}{100})^4\Rightarrow F=2679.6475\Rightarrow F=2679.65[/tex]

The value of her account after 4 years is about $2679.65.


On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction.
The number b varies directly with the number a. Forexample b = 22 when a = -23. Which equation represents this
direct variation between a and b?
O b=-a
O-b=-a
Ob-a=0
Ob(-a)=0

Answers

The equation b=-a is the correct equation.

What is an equation?

An equation is a statement in maths that demonstrates the equivalence of two factors by linking them with the equivalent symbol =. Equations are used to define geometric patterns in Euclidean geometry. Because the equations beneath consideration, such as implicitly equations or descriptive equations, contain an unlimited variety of solutions, the goal has started to shift: instead of directly stating the alternatives or collecting them, which again is unattainable, one utilizes equations to analyze the features of figures. This is the fundamental concept of elementary algebra, a significant mathematics discipline. Differential equations is equations in which 1 or more polynomials and its implications are involved. They are addressed by locating a functional expression that doesn't employ derivatives. Differential equations are utilized to analyze rate-related phenomena.

The equation b=-a is the correct equation.

Hence, option (a) b=-a is correct.

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Trish's resting heart rate is 50 beats per minute. For every
minute she exercises, her heart rate increases 5 beats per
minute. How long will it take her to reach a heart rate of
120 beats per minute?
A 5 minutes
B 14 minutes
C 34 minutes
D 70 minutes

Answers

Answer:

B

Step-by-step explanation:

(120 - 50 b/m) / 5 b / m^2 = 14 minutes    

Abdul drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Abdul drove home, there was no traffic and the trip only took 6 hours. If his average rate was 16 miles per hour faster on the trip home, how far away does Abdul live from the mountains? Please show work because it doesn’t make sense any other way!

Answers

Call the distance to the mountains x
Average speed there = x / 8 mph
Average speed back = x / 6 mph
x / 6 = x / 8 + 16
Multiply both sides by 24 (lowest common multiple of 6 and 8)
24x / 6 = 24x / 8 + 16x24
4x = 3x + 384
x = 384 miles

Describe how to determine the average rate of change between x=3 and x=5 for the function f(x)3x^3+2. Include the average rate of change in your answer.

Answers

Given the function:

[tex]f\mleft(x\mright)=3x^3+2[/tex]

3. Do these three points create a right triangle?
A(2,2) B(-2-1) C(-3, 2)

Answers

Yes, they make a right triangle

Answer:

they do NOT create a right-angled triangle

Step-by-step explanation:

to make a right-angled triangle the side lengths must comply with Pythagoras

c² = a² + b²

c being the Hypotenuse (the side opposite of the 90° angle), a and b are the legs.

the side lengths in this ABC triangle are :

AB² = (2 - -2)² + (2 - -1)² = 4² + 3² = 16 + 9 = 25

AB = 5

BC² = (-2 - -3)² + (-1 - 2)² = 1² + (-3)² = 1 + 9 = 10

BC = sqrt(10)

CA² = (-3 - 2)² + (2 - 2)² = (-5)² + 0² = 25

CA = 5

so, this is an isoceles triangle (2 equal legs).

the side lengths 5, 5, sqrt(10) do NOT create a right-angled triangle.

no matter how we combine their squares in the Pythagoras formula, it does not work :

10 = 25 + 25 = 50 no.

25 = 10 + 25 = 35 no.

The common factors of 36, 240, and 504

Answers

Answer: 1, 2, 3, 4,6 12

Step-by-step explanation:

every single number can be divided by the answer numbes

4
A TV that usually sells for $167.77 is on sale for 15% off. If sales tax on the TV is 6%, what is the price of the TV, including tax?
OA. $201.49
OB. $152.59
OC. $151.16
OD.
$149.73

Answers

The price including tax is $151.16

What is tax?

A tax is a mandatory financial charge or other type of levy imposed by a governmental organization on a taxpayer (an individual or legal entity) in order to fund government spending and various public expenditures (regional, local, or national), and tax compliance refers to policy actions and individual behavior aimed at ensuring that taxpayers pay the correct amount of tax at the correct time and receive the correct tax allowances and tax reliefs. The earliest known taxes occurred in Ancient Egypt between 3000 and 2800 BC. Failure to pay on time (non-compliance), as well as avoidance or resistance to taxation, is illegal and punished by law. Taxes can be paid in cash or in labor equivalents and can be direct or indirect.

Selling price of TV = $167.77x0.85 (15% discount)

                               = $142.6025

Price of TV (including tax) = $142.6025x1.06 (6% tax)

                                           = $151.16

Hence, the price including tax is option (c) $151.16

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Complete both transformations below.
Then enter the final coordinates of the figure.
(1,-3)
A
C (2,-5)
B
(5,-1)
A" ([?], [])
B" ([ ], [])
C" ([],[])
1) Reflect across y - axis
2) <4.5>

Answers

Answer:

A''(3, 2), B''(-1, 4), C''(2, 0)

Explanation:

For the first step, negate the y coordinate.

For the second step, add 4 to the x coordinate and 5 to the y coordinate.

[tex]A(1,-3) \longrightarrow A'(-1, -3) \longrightarrow A''(3, 2) \\ \\ B(5,-1) \longrightarrow B'(-5,-1) \longrightarrow B''(-1, 4) \\ \\ C(2, -5) \longrightarrow C'(-2, -5) \longrightarrow C''(2, 0)[/tex]

Find missing side length

Answers

Answer:

7

Step-by-step explanation:

42 divided by 3 = 14 = total of triangle XYZ

14 divided by 2 = 7

line X/Y = 7

Please help with both ?s I’ll mark you brainly

Answers

Answer:

  1) CW 270° or CCW 90°

Step-by-step explanation:

In each case, you want to identify two transformations that will map the preimage to the image.

1)

We note the transformation maps ...

  A(-7, 0) ⇒ A'(0, -7) . . . . . . CCW 90° or CW 270°

  B(-4, -1) ⇒ B'(1, -4)

  C(-7, 3) ⇒ C'(-3, -7)

These can be described by ...

  (x, y) ⇒ (-y, x)

This transformation is equivalent to either of the two transformations ...

rotation CW 270° about the originrotation CCW 90° about the origin

2)

As above, rotation about the origin by 90° in one direction is the same as rotation 270° about the origin in the other direction. The attached graph shows the result either way. The two equivalent transformations are ...

rotation CW 90° about the originrotation CCW 270° about the origin

The coordinate transformation is ...

  (x, y) ⇒ (y, -x)

» Solve the equation 2y+6=y-7

Answers

Answer:

y = -13

Step-by-step explanation:

a) Subtract y from both sides.

2y + 6 − y = y − 7 − y

y + 6 = −7

b) Subtract 6 from both sides.

y + 6 − 6 = −7 − 6

y = -13

I need help with this question but no one is helping me! Can someone please help me​

Answers

Answer:

13 + 13 = 26

13/26 * 12/25 = 6/25 = 0.24

Though 70% of women with children younger than 18 years participate in the labor force, society still upholds the stay-at-home mother as the traditional model. Some believe that employment distracts mothers from their parenting role, affecting the well-being of children. In the GSS 2014, respondents were asked to indicate their level of agreement to the statement, “A working mother hurts children.” Of the 435 male respondents who answered the question, 18% strongly agreed that a working mother does not hurt children.

Answers

Using the z-distribution, the 95% confidence interval for the proportion of male respondents that agree that a working mother does not hurt children is:

(0.1439, 0.2161).

What is a confidence interval of proportions?

The bounds of a confidence interval of proportions is given according to the following rule:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the parameters are described as follows:

[tex]\pi[/tex] is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The values of the other parameters are given as follows:

[tex]\pi = 0.18, n = 435[/tex]

Hence the lower end of the interval is calculated as follows:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.18 - 1.96\sqrt{\frac{0.18(0.82)}{435}} = 0.1439[/tex]

The upper end of the interval is calculated as follows:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.18 + 1.96\sqrt{\frac{0.18(0.82)}{435}} = 0.2161[/tex]

Missing information

The problem asks for the 95% confidence interval for the proportion of male respondents that agree that a working mother does not hurt children is:

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A camera has a listed price of $788.99 before tax. If the sales tax rate is 7.75%, find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary.

Answers

Answer:

$850.14

Step-by-step explanation:

7.75% as decimal: 0.0775

788.99 x 0.0775 = 61.146725

788.99 + 61.146725 = 850.136725

850.136725 rounded to nearest cent is 850.14

So the total price of the camera with sales tax included is $850.14

what percent of 29 is 13?

Answers

Answer:

45%

Step-by-step explanation:

x * 29 = 13

x = 13/29

x = 0.448

45%

If you add alot of zeros while solving the equation you woukd get 44.8275862% but if you round it can end up to be 45%

The new strain of covid is spreading at the rate of 12% a week. Currently, there are 100,000 people infected with the virus. How long will it take before the virus has infected 800,000 people?

Answers

The covid strain will take 17.33 weeks to infect 800,000 people.

To solve the given problem, we only need to utilize the exponential function formula, which is stated as

[tex]A = Pe^{rt}[/tex]

Where A is the final value,

P denotes the starting value

The rate is r and time is given by t.

Given:

The rate of spread of the new strain of covid = 12% a week

Currently the number of people infected with the virus = 100,000

To determine how long will it take before the virus has infected 800,000 people, substitute the values in the formula

[tex]A = Pe^{rt}[/tex]

[tex]800000 = 100000e^{0.12*t}[/tex]

[tex]8 = e^{0.12*t}[/tex]

[tex]ln 8 = {0.12*t}[/tex]

[tex]t = ln 8/0.12[/tex]

[tex]t = 17.33 weeks[/tex]

Therefore, the covid strain will take 17.33 weeks to infect 800,000 people.

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Hey bb I know that it was ur b day and u said u were gonna come out to ur parents as bi. Did u do it and if u did how did it go. Just checking in, ofc u don’t know me so u don’t even have to tell me anything if you want.

Answers

An event can be said to be a set of possible outcomes which results from an experiment.

An individual can be said to create a theory after he observes events.

A theory is said to be a set of ideas that explains the results from an experiment.

Therefore, an individual creates a theory after he observes an event.

ANSWER:

Theory

Find the savings plan balance after 15 months with an APR of 6% and monthly payments of $200.

Answers

The  savings plan balance after 15 months with an APR of 6% and monthly payments of $200 is $3,123.

Saving plan balance

Given data :

The APR = 6% coincides with a .06/12 = .005 monthly interest rate

Now let determine or find the total after 15 months

Total after 15 month :

Total after 15 month = 200 [ (1 +.005^ 16) - (1 + .005] /(.005)

Total after 15 month = 200 [( 1.005 ^ 16 - 1.005] /(.005)

Total after 15 month = 200 (15.614)

Total after 15 month = $3,122.8

Total after 15 month = $3,123 (Approximately)

Therefore we can conclude that the total sum is the amount of $3,123.

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Select the correct answer.
What is the sum of this expression?

Answers

The mixed fraction 4 3/8 + 7 3/4 is equivalent to the fraction to 12 1/8

How to solve an equation?

An equation shows the relationship between two or more numbers and variables.

The mixed fraction 4 3/8 is equivalent to the fraction (4 * 8 + 3)/8 = 35/8

The mixed fraction 7 3/4 is equivalent to the fraction (4 * 7 + 3)/4 = 31/4

Hence:

4 3/8 + 7 3/4

Substituting:

= 35/8 + 31/4

Simplifying:

= 97/8 = 12 1/8

4 3/8 + 7 3/4 is equal to 12 1/8

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Find the circumference and area of the circle. Express answers in terms of and then round to the nearest tenth. Part 1. Find the circumference in terms of . C = _ cmPart 2. Find the circumference rounded to the nearest tenth.C = _ cmPart 3. Find the area in terms of A = _ cm2Part 4. Find the area rounded to the nearest tenth. A = _ cm3

Answers

Answer:

1. C = 8π cm

2. C = 25.1 cm

3. A = 16π cm²

4. A = 50.3 cm²

Explanation:

Part 1.

The circumference of a circle can be calculated as

[tex]C=2\pi r[/tex]

Where r is the radius. So, replacing r = 4 cm, we get:

C = 2π(4 cm)

C = 8π cm

Part 2.

To round the circumference to the nearest tenth, we need to replace π = 3.14, so

C = 8(3.14) cm

C = 25.1 cm

Part 3.

The area of a circle can be calculated as

A = πr²

Replacing r = 4cm, we get:

A = π(4 cm)²

A = 16π cm²

Part 4.

To round to the nearest tenth, we need to replace π = 3.14, so

A = 16(3.14) cm²

A = 50.3 cm²

Therefore, the answers are

1. C = 8π cm

2. C = 25.1 cm

3. A = 16π cm²

4. A = 50.3 cm²

Match the area formula with the correct polygon. A = 1/2bh parallelogram A = bh triangle A = 1/2 (b1 + b ) + trapezoid

Answers

The area of a parallelogram can be determined by multiplying its base and height, the formula is

[tex]A=bh[/tex]

The area of a triangle is equal to half the product between the base and the height, following the formula:

[tex]A=\frac{1}{2}(bh)[/tex]

The area of a trapezoid is equal to the product of half the sum of its bases and its height following the formula:

[tex]A=\frac{1}{2}(b_1+b_2)h[/tex]

You deposit $300 each month into an account earning 6% interest compounded monthly. a) How much will you have in the account in 30 years? $ b) How much total money will you put into the account? $ c) How much total interest will you earn?

Answers

Using the future value formula, it is found that:

a) You will have $301,355 in the account after 30 years.

b) You will have put $108,000 in the account.

c) You will have earned $193,355 in interest.

What is the future value formula?

The future value formula  is given by:

[tex]V(n) = P\left[\frac{(1 + r)^n - 1}{r}\right][/tex]

In which the parameters are described as follows:

P is the payment.n is the number of payments.r is the interest rate.

Considering the $300 deposits, the interest rate of 6% and the monthly compoundings for 30 years, the values of the parameters are given as follows:

P = 300, r = 0.06/12 = 0.005, n = 12 x 30 = 360.

Hence the balance of the account after 30 years will be given by:

[tex]V(30) = 300\left[\frac{(1.005)^{360} - 1}{0.005}\right][/tex]

V(30) = $301,355.

The amount placed into the account is given by:

360 x 300 = $108,000.

The remaining amount is earned in interest, hence:

301355 - 108000 = $193,355.

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Sean is hiking the Appalachian Trail from Georgia to Maine. The distance of his hike is 2200 miles. It
took Sean 134 days to complete the hike. The data below represent the distance, D, he had hiked t
days after the start of his trip.
t
D(0)
0
0
19
308
In
34
578
67
1070
1. Determine the linear regression equation for this data.
Linear Regression Equation: D =
Round to the nearest tenth as needed.
2. Interpret the meaning of the slope of this regression model.
Sean hiked at a rate of approximately
91
1715
miles.
112
1902
Select an answer
3. Use your linear regression equation to estimate the total number of miles Sean had hiked in 52
days. Round your answer to the nearest mile.
In 52 days, Sean had hiked
4. Use your linear regression equation to estimate the total number of days it took for Sean to hike
377 miles. Round your answer to the nearest day.
days, Sean had hiked 377 miles.
134
2200

Answers

From the given table, it is found that:

1. The linear regression equation is: y = 16.96x + 3.

2. The meaning of the slope is that he hiked an average of 16.96 miles a day.

3. In 52 days, Sean had hiked 885 miles.

4. In 22 days, Sean had hiked 377 miles.

How to find the equation of linear regression?

To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.

In the context of this problem, the points are given as follows:

(0,0), (19,308), (34, 578), (67, 1070), (91, 1715), (112, 1902), (134, 2200).

Using a calculator, the equation is given as follows:

y = 16.96x + 3.

The input of the function and the output of the function are given as follows:

Input: number of days.Output: number of miles hiked.

The slope is the rate of change, that is, change in the output divided by change in the input. Hence the slope of 16.96 means that he hiked an average of 16.96 miles a day.

In 52 days, the number of miles hiked is:

y = 16.96(52) + 3 = 885 miles.

The number of days is took to hike 377 miles is found as follows:

377 = 16.96x + 3

x = 374/16.96

x = 22 days.

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14. Use Structure Consider the rational
number.
a. What are the values of a and b in a)b wher
you use division to find the decimal form?
b. What is the decimal form for?3/11

Answers

The decimal form of this rational number is 0.27, where 27 in decimal is recurring.

What are the steps to solve a rational number?
The steps to solve a rational number problem are:
(a) Let 'a/b' be a rational number. From the sentence, we deduce that denotes the denominator of a rational integer, while represents the numerator. Consequently, is 3 and is 11.
(b) The decimal form is achieved by dividing by, and we described the procedure required to do so:
(i) Ten times the numerator:
Dividend is 30, and the result is known to be zero. Remainder: N/A
ii) Dividend less the dividend multiplied by the divisor by two:
Known outcome: 0.2; residuals: 8
iii) 10 times the residue:
Known outcome: 0.2; residuals: 80
iv) Divide the residue by the divisor and multiply it by 7:
0.27 as known result; 3 as residue
v) Ten times the residue:
0.27 as known result; 30 as residue
vi) Divide the divisor by two and deduct the result from the sum:
Results known: 0.272/Residue: 8
vii) 10 times the residue:
The known outcome is 0.272/Residue: 80.
viii) Divide the divisor by 7 and deduct the result from the sum:
A known outcome is 0.2727/Residue: 3.

Therefore, we can see that is a periodic decimal number in its decimal form.
As a result, we deduce that the decimal representation of this rational number is 0.27, where 27 is a regular integer.

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Which set of ordered pairs represents y as a function of x? А A {(2,-1),(4,-2),(6,-3),(8,-4)} B {(0,0),(1,1),(1,0),(2, 1)} © {(3,3), (3,4),(4,3),(4,4)} {(1,-5),(1,5),(2,-10),(2, -15)}

Answers

Function:

A function is a relation in which every input x has a different output value y.

If there is more than 1 outputs for the same input then it doesn't represent a function.

Let us analyze each of the given options.

Option A:

{(2, -1), (4, -2), (6, -3), (8, -4)}

As you can see, each input x has a different output value y.

Therefore, it is a function

Option B:

{(0, 0), (1, 1), (1, 0), (2, 1)}

As you can see, the input (1) has two different outputs (1 and 0)

Therefore, it is not a function.

Option C:

{(3, 3), (3,4),(4,3),(4,4)}

Solve for x. Enter the solutions from least to greatest.2x^2 - 24x + 54 = 0lesser x =greater x =

Answers

To solve the equation

[tex]2x^2-24x+54=0[/tex]

we are going to use the general formula for quadratic equations:

[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]

In our case a=2, b=-24 and c=54. Then

[tex]\begin{gathered} x=\frac{-(-24)\pm\sqrt[]{(-24)^2-4(2)(54)}}{2(2)} \\ =\frac{24\pm\sqrt[]{576-432}}{4} \\ =\frac{24\pm\sqrt[]{144}}{4} \\ =\frac{24\pm12}{4} \end{gathered}[/tex]

Then x is:

[tex]\begin{gathered} x=\frac{24-12}{4}=\frac{12}{4}=3 \\ or \\ x=\frac{24+12}{4}=\frac{36}{4}=9 \end{gathered}[/tex]

5 In an experiment, the probability that event B occurs is -, and the probability that event A occurs given 8 5 that event B occurs is – 8 What is the probability that events A and B both occur? Simplify any fractions.

Answers

We have

probability of B occurs is 5/8

probability that event A occurs given B occurs is 5/8

We have the next formula, that is the conditional probability formula

[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex]

where

P(A|B)= probability of A given B

P(B)= probability of B

P(A∩B)=probability of A and B

so we need to isolate the P(A∩B) in order to obtain the probability that events A and B both occur

[tex]P\mleft(A\cap B\mright)=P(A|B)\cdot P(B)=\frac{5}{8}\cdot\frac{5}{8}=\frac{25}{64}[/tex]

There are 15 members in a bicycle club this fall by next summer Bing home saying number of members will be 140% of this number what is the main goal for the number of members next summer 

Answers

The main goal is 140 percent i.e., 21 members.

What is meant by percentage?

In mathematics, a percentage (from Latin: percentage , "by a hundred") may be a number or ratio expressed as a fraction of 100. it's often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" also are used. A percentage may be a dimensionless number (pure number); it has no unit of measurement. The term "percent" springs from the Latin per centum, meaning "hundred" or "by the hundred". The Italian word per cento, which means "for a hundred," gradually shrank to become the symbol for "percent." The "per" was often abbreviated as "p."—eventually disappeared entirely. The "cento" was contracted to 2 circles separated by a horizontal line, from which the fashionable "%" symbol is derived.

140 percent of 15 = 15x140/100 = 21 members

Hence, the main goal is 21 members.

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Mr. Jones and Mr. Evansbee both have gardens shaped as squares. The length of each side of Mr. Jones’ garden is 6 yd. The length of each side of Mr. Evansbee’s garden is 10 yd.

(a) Write an expression with exponents for the area of Mr. Jones’ garden. Then, find the area of the garden.
(b) Write an expression with exponents for the area of Mr. Evansbee’s garden. Then, find the area of the garden. Each plant takes up 2 yd(squared) of space in both gardens.
(c) How many plants can Mr. Jones place in his garden? How many plants can Mr. Evansbee place in his garden? Explain your reasoning.
(d) For each garden, the cost per plant is $4.99. Using your answers from part (c), how much will each gentleman spend on plants for his garden?

Answers need to be step-by-step please

Answers

Answer:

  (a) expression: (6 yd)²; area: 36 yd²

  (b) expression: (10 yd)²; area: 100 yd²

  (c) Jones: 18; Evansbee: 50

  (d) Jones: $89.82; Evansbee: $249.50

Step-by-step explanation:

You want the area, number of plants that can be placed, and the cost of plantings for gardens that are 6 yards square and 10 yards square. Each plant takes 2 square yards and costs $4.99.

Area of a square

The formula for the area of a square of side length s is ...

  A = s²

(a) Jones' garden

The area of a square garden with a side length of 6 yards is ...

  A = (6 yd)² . . . . . expression for the area

  A = 36 yd² . . . . . the area of the garden

(b) Evansbee's garden

The area of a square garden with a side length of 10 yards is ...

  A = (10 yd)² . . . . . expression for the area

  A = 100 yd² . . . . . the area of the garden

(c) Number of plants

The area used by the plants is the product of their number and the area taken by each.

For Jones' garden, the number of plants that can be placed is ...

  n(2 yd²/plant) = 36 yd²

  n = (36 yd²)/(2 yd²/plant) = 18 plants

Mr. Jones can place 18 plants in his garden.

For Evansbee's garden, the number of plants that can be placed is ...

  n(2 yd²/plant) = 100 yd²

  n = (100 yd²)/(2 yd²/plant) = 50 plants

Mr. Evansbee can place 50 plants in his garden.

(d) Cost of plants

At $4.99 each, the cost of plantings will be $4.99 times the number of plants.

Plants for Jones' garden cost 18($4.99) = $89.82.

Pants for Evansbee's garden cost 50($4.99) = $249.50.

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