Module Six Project Option 1


Instructions

Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.

Sarah can use the expression 5(2j + 3 + j) to represent the amount of money she can earn.

Part 1: Writing Expressions

Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.


Translate the algebraic expression you created in Question 1 to a verbal expression.

Part 2: Writing Equivalent Expressions

You will now use mathematical properties to create two expressions that are equivalent to the expression you created in Question 1. Make sure you show all steps in your work.



Use either the commutative property or combine like terms to create an equivalent expression.

Use the distributive property to create an equivalent expression.

Pick a number from 1 to 10. Use that number to verify your three expressions (the original, the one from 3a, and the one from 3b) are equivalent by substituting it into each expression. Show all your work for complete credit.

Part 3: Finish the Story

Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did Sarah earn?

Choose a method to present your assignment. You may submit your work in a Word Document or you may choose to develop a PowerPoint presentation or video recording of yourself. Use your creativity! Make sure to include the information from all three parts in your Word Document or presentation.

What to Submit

Name the assignment 06_07_EquivalentExpressions _Your Name.

In the Assessment Area, submit your work to 06.07 Equivalent Expressions.

Rubric

Look over the grading rubric to see how you will be evaluated.


Perfect!

Almost there!

Not quite yet!

Keep going!

Part 1: Writing Expressions

10 points

Both the expression and verbal translation are correct and clearly explained.

9−7 points

Most of the expression and verbal translation are correct and clearly explained.

6−3 points

Some of the expression and verbal translation are correct and clearly explained.

2−0 points

Few or none of the expression and verbal translation are correct and clearly explained.

Part 2: Writing Equivalent Expressions

15 points

All the mathematical properties and substitution steps are used correctly to prove two expressions are equivalent.

14−11 points

Most of the mathematical properties and substitution steps are used correctly to prove two expressions are equivalent.

10−7 points

Some of the mathematical properties and substitution steps are used correctly to prove two expressions are equivalent.


6−0 points

Few or none of the mathematical properties and substitution steps are used correctly to prove two expressions are equivalent.

Part 3: Finishing the story

5 points

Ending of story matches equivalent expressions, and presentation has all the required information.

4 points

Ending of story matches most of the equivalent expressions, and presentation has most of the required information.

3 points

Ending of story matches some of the equivalent expressions, and presentation has some of the required information.

2−0 points

Ending of the story has almost none to no match to the equivalent expressions, and presentation has few to none of the required information.

Answers

Answer 1
the answer is b that’s what i would pick
Answer 2

Answer:

Answer: An algebraic expression is a mathematical expression that consists of variables, numbers, and operations. We can use algebraic expressions to represent unknown number situations involving addition, subtraction, multiplication, and division.

Step-by-step explanation:


Related Questions

Martin and Isabelle go bowling. Each game cost $10, and they split that cost. Martin has his own bowling shoes, but Isabelle pays $3 to rent shoes.

Answers

Martin spends $5 and Isabelle spends $8

Help me, please! I will mark the brainiest! ANY OFF TOPIC ANSWER WILL BE DELETED!

Answers

the anwser is 3x-5 yuhhhhhhhhhhhhhhhhh

The figure shows a parallelogram inside a rectangle outline:

What is the area of the parallelogram?

1 over 25 square foot
11 over 25 square foot
3 over 25 square foot
4 over 25 square foot

Answers

Answer:

11 over 25 square foot

Step-by-step explanation:

11 over 25 square feet

I Need Help With No. 5

Answers

Answer:

3 times

Step-by-step explanation:

Answer: three times
Explanation:

Tanya is training a turtle for a turtle race. For every 1/2 of an hour that the turtle is crawling, he can travel 2/23 of a mile. At what rate is the turtle crawling in miles per hour?

Answers

Answer:

To determine at what unit rate the turtle is crawling, divide 3/20 mile by 1/6 hour.

Therefore, the unit rate is 9/10 of a mile per hour

Step-by-step explanation:

The rate of turtle crawling is 4/23 miles per hour.

Given that, the time taken by turtle to crawl = 1/2 hour and number miles crawled by turtle = 2/23 mile

What is the speed?

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Now, Speed = Distance/Time

= 2/23 ÷ 1/2

= 2/23 × 2/1

= 4/23 miles per hour

Hence, the rate of turtle crawling is 4/23 miles per hour.

To learn more about the speed, distance, and time visit:

brainly.com/question/4978052.

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HELPP PLEASE!!!!!!

The table shows the possible outcomes of spinning the given spinner twice. Find the probability of the spinner landing on 2 at least once.

The probability?

Type an integer or a fraction

Answers

In the table, there are 16 possible outcomes shown. We want to find the outcomes that have at least one “2” in them. There are 4 outcomes with a “2” in them in the column of 2, and in the row of “2” there are 3 more outcomes. (excluding the outcome we already counted)
This means there are 7 outcomes that have at least one “2” in them, and there are 16 total outcomes.
That means the probability of the spinner landing on 2 at least once is 7/16.

please help my grade in math is an F

Answers

Answer:

12

Step-by-step explanation:

So our equation is:

(7x+5)+(5x+3)+(12x-20) = 276

First remove parenthesis:

7x+5+5x+3+12x-20=276

Combine like terms:

24x-12 = 276

Add 12 on both sides:

24x = 288

Divide:

288/24 = 12

PLEASE HELP ME... I AM BEHIND ON MATH HOMEWORK AND I REALLY NEED TO CATCH UP SO I DON'T GET MY PHONE TAKEN AWAY!!! I'LL MARK BRAINLIEST FOR BEST ANSWER!!


Solve the following system of equations. SHOWING ALL STEPS.

LaTeX: 5x-4y=-2

LaTeX: 2x+4y=16


*************************************
Use the LaTeX: \sqrt{x} button to show your math and steps. Also, a table might help you organize your work.

Answers

Answer:

im assuming you just need to answer this and not simplify it so ill just give you the answer

x =  4/5y+-2/5

−2y + 8

Step-by-step explanation:

The table shows the results of a survey of 100 people randomly selected at an airport. Find the experimental probability that a person is going to City E.
Airport Destinations
Destination
Number of Responses
City A
City B
City C
City D
City E
28
34
16
14
8

Answers

Answer: 8 people will go to e

Step-by-step explanation: it goes in order

8 goes to each I’m pretty sure

Heather deposits $7000 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first 3 years?

Answers

Answer:

year after 3 year(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $7000.00.

r is the interest rate, 2% per year, or in decimal form, 2/100=0.02.

t is the time involved, 3....year(s) time periods.

So, t is 3....year time periods.

To find the simple interest, we multiply 7000 × 0.02 × 3 to get that:

The interest is: $420.00

Usually now, the interest is added onto the principal to figure some new amount after 3 year(s),

or 7000.00 + 420.00 = 7420.00. For example:

If you borrowed the $7000.00, you would now owe $7420.00

If you loaned someone $7000.00, you would now be due $7420.00

If owned something, like a $7000.00 bond, it would be worth $7420.00 now.

420 dollars in 3 years

1. If the height of a parallelogram is 27.3 m and the base is 6.3m, what is the area of the parallelogram?

2. If the base of a rectangle is 27.4 mm and the area is 420.92 mm2. What is the height of the rectangle?

3. What is the height of a rectangle with a perimeter of 133.2 mm and a base length of 30.6 mm?

4. If the base of a parallelogram is 61 m and the area is 645 m2, what is the height of the parallelogram

5. What is the perimeter of a parallelogram with a base of 32 cm, a side length of 34 cm, and a height of 19 cm?

6. What is the area of a parallelogram with a base of 40 mm, a side length of 15 mm, and height of 18 mm?

7. If the height of a rectangle is 8.8 m and the base is 7.9 m, what is the perimeter of the rectangle

8. If the base of a rectangle is 23cm and the area is 354 cm2, what is the height of the rectangle?

9. What is the area of a square with a perimeter of 44 mm?

10. What is the area of a square with a perimeter of 55 cm?

Introduction to Perimeter & Area of Polygons

Answers

Answer:

1) to work out the area of a parallelogram you need to do area= base x height.

6.3x27.3=171.99m^2

2) 420.92/27.4= 15.36mm to 2 decimal places

3) 133.2x30.6=4075.92mm^2

4) 651/61=10.57m to 2 decimal places

5) (32x2)+(34x2)=132mm

6) 40x18=720mm^2

7) (8.8x2)+(7.9x2)=33.4m

8)354/23= 15.39cm to 2 decimal places

9) 44/4=11

11x11=121mm^2

10)55/4=13.75

13.75x13.75=1890.0625cm^2

11) 43x18=774m^2

12) 25x35=875m^2

13)600/16=37.5m

14) 125-(40.5x2)=44.6

44.6/2=22.3

22.3x40.5=903.15cm^2

15) 64.3x4.3=276.49m^2

Step-by-step explanation:

Which of the following is a statistical question that can result in numerical data?

How many miles do you ride your bike each week?
How many miles do the students in your class run each week?
Who is the dentist at Uptown Dentistry?
How many pets do your grandparents have?

Answers

Answer: First, Second and Third.

Step-by-step explanation: Each can be answered with an integer. For example, you can ride 10 miles on your bike each week.

The students can do 10 miles each week.

Your grandparents could have 20 pets.

The data can be plotted into a graph and this would count as statistical/numerical data.

The volume of a cone is 20π cubic meters. What is the volume of a cylinder with the same base and height?

Answers

Answer:

60

Step-by-step explanation:

Hope that helps! :)

Volume of cylinder = 3 x volume of cylinder 20π x 3 = 60π

What could thy answer be?

Answers

Answer: 36

Step-by-step explanation:

There are a total of 36 numbers, you can find that out by multiplying 6 x 6.

There is only 1 number pair can has a sum of 2 which is 1,1

Answer = 1,1 since 1,1 is the only pair that is able to add to become 2.

Mrs. Raymond purchased a rectangular toy chest. Its dimensions are 4 1/2 feet by 2 1/2 feet by 3 feet. What is the total volume of the toy chest? Brainliest for the correct answer!

Answers

Answer:

V = 33.75 ft.^3

Step-by-step explanation:

V = Length x Height x Width

Length: 4.5 ft

Height: 2.5 ft

Width: 3 ft

V = 4.5 x 2.5 x 3 = 33.75 ft.^3

The total volume is 33.75 or in fraction form as 33 3/4

WILL MARK BRAINLYEST PLSSSSSSSSSSSSSS
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Classify the decimal expansion of each fraction as a terminating decimal or a repeating decimal.




Drag and drop the fractions into the boxes to correctly complete the table.

Answers

Terminating decimal- 15/40 12/30, the other two r repeating decimals

Help me plz ASAP!!! I can give brainlist to the first right person.

Answers

1-30%

2-25%

3-50%

4- 11.111111111111111111 rounded =11%

5-6.6666666666667% rounded =6%

Answer:

1. 30%  

2. 25%  

3. 50%

4.  11.111111111111111111 rounded =11%  

5. 6.6666666666667% rounded =6%

Step-by-step explanation:

mark brainliest please

Outback automatically applies an 18% gratuity (tip) on parties larger than 12 people. You went to dinner with a group of 20 people and the bill was $246. What is the total cost of the bill, including the gratuity (tip)?

Answers

246 x 18%=tip
Tip= 246 x .18
Tip=44.28
Tip+bill=total cost
44.28+246= 290.28
Or
246 x 1.18= 290.28

A community center rents their hall for special events. They charge a fixed fee of $200 plus an hourly fee of $22.50.


How much would it cost Lin to rent the community center for 3 hours?

another community center rents their hall for special events. They charge a fixed fee of $200 plus an hourly fee of $22.50.

Write an expression to represent this situation using for the number of hours.

Answers

Answer:

it would cost $267.50

Step-by-step explanation:

if u mutiply 22.50x 3 it equals $67.50 plus the 200 dollars

Answer: $267.5 , 200+22.50h=P
Explanation:

use the "Dividing polynomial box method" to solve the problem below".

Answers

Answer:

divide x^2+x-8 to x-4

Step-by-step explanation:

I was gonna answer but theres already an answer haha

PLEASE HELP ME I NEED TO DO THIS TODAY PLEASE HELP ILL MAKE U BRAINLIST


1. If the height of a parallelogram is 27.3 m and the base is 6.3m, what is the area of the parallelogram?

2. If the base of a rectangle is 27.4 mm and the area is 420.92 mm2. What is the height of the rectangle?

3. What is the height of a rectangle with a perimeter of 133.2 mm and a base length of 30.6 mm?

4. If the base of a parallelogram is 61 m and the area is 645 m2, what is the height of the parallelogram

5. What is the perimeter of a parallelogram with a base of 32 cm, a side length of 34 cm, and a height of 19 cm?

6. What is the area of a parallelogram with a base of 40 mm, a side length of 15 mm, and height of 18 mm?

7. If the height of a rectangle is 8.8 m and the base is 7.9 m, what is the perimeter of the rectangle

8. If the base of a rectangle is 23cm and the area is 354 cm2, what is the height of the rectangle?

9. What is the area of a square with a perimeter of 44 mm?

10. What is the area of a square with a perimeter of 55 cm

Answers

Answer:

Step-by-step explanation:

To find the area of a parallelogram, multiply the base by the height:

Area = base x height

Area = 6.3 m x 27.3 m

Area = 171.99 m²

To find the height of a rectangle, divide the area by the base:

Height = Area / Base

Height = 420.92 mm² / 27.4 mm

Height ≈ 15.35 mm

The perimeter of a rectangle is given by 2 times the sum of the base and height:

Perimeter = 2(base + height)

133.2 mm = 2(30.6 mm + height)

133.2 mm = 61.2 mm + 2 height

2 height = 133.2 mm - 61.2 mm

2 height = 72 mm

Height = 72 mm / 2

Height = 36 mm

To find the height of a parallelogram, divide the area by the base:

Height = Area / Base

Height = 645 m² / 61 m

Height ≈ 10.57 m

The perimeter of a parallelogram is the sum of all its sides:

Perimeter = 2(base + side length)

Perimeter = 2(32 cm + 34 cm) + 2(height)

Perimeter = 2(66 cm) + 2(19 cm)

Perimeter = 132 cm + 38 cm

Perimeter = 170 cm

To find the area of a parallelogram, multiply the base by the height:

Area = base x height

Area = 40 mm x 18 mm

Area = 720 mm²

The perimeter of a rectangle is given by the formula: Perimeter = 2(base + height)

Perimeter = 2(7.9 m + 8.8 m)

Perimeter = 2(16.7 m)

Perimeter = 33.4 m

To find the height of a rectangle, divide the area by the base:

Height = Area / Base

Height = 354 cm² / 23 cm

Height ≈ 15.39 cm

The perimeter of a square is 4 times the length of one side. Since the perimeter is given as 44 mm, we can divide it by 4 to find the length of one side:

Side length = Perimeter / 4

Side length = 44 mm / 4

Side length = 11 mm

To find the area of a square, multiply the side length by itself:

Area = side length x side length

Area = 11 mm x 11 mm

Area = 121 mm²

The perimeter of a square is 4 times the length of one side. Since the perimeter is given as 55 cm, we can divide it by 4 to find the length of one side:

Side length = Perimeter / 4

Side length = 55 cm / 4

Side length = 13.75 cm

To find the area of a square, multiply the side length by itself:

Area = side length x side length

Area = 13.75 cm x 13.75 cm

Area ≈ 189.06 cm²

E e. E e e e er e. E. E. E e e e e e enenendind d. Basically luffy’s Brain is dying

Mae Ling earns a weekly salary of $310 plus a 7.5% commission on sales at a gift shop. How much would she make in a work week if she sold $4,700 worth of merchandise?

someone please answer ASAP i'll give brainlist to the best answer <3

Answers

Answer:  662.50 dollars

==========================================================

Explanation:

If she doesn't sell a single thing, she still earns the base weekly salary of $310. This is the smallest amount she can earn per week.

If she does make sales, then she'll earn an additional 0.075x dollars where x is the amount of sales made (the total value of the merchandise). The 0.075 is the decimal form of 7.5%

In total, she makes 0.075x+310 dollars per week. In this case, she sold x = 4700 dollars worth of goods, which means,

0.075x+310 = 0.075*4700+310 = 662.50

She earned 662.50 dollars for that week.

It’s $345.25 bc you have to multiply commission and the money sold which is .075 x 4,700 which equals 34.25 and then you add the weekly salary which is 310 and you get $345.25

ALL NERDS ASSEMBLE!!!!!

Answers

1. 3.9284 x 10^4 or 39284

2. 5.86728 x 10^4 or 58672.8

3. 2.07341587 x 10^3 or 2073.41587098

4. 183.80166497

5. 8.74411916 x 10^6 or 8744119.16410072

Answer:

1. 3.9284 x 10^4 or 39284

2. 5.86728 x 10^4 or 58672.8

3. 2.07341587 x 10^3 or 2073.41587098

4. 183.80166497

5. 8.74411916 x 10^6 or 8744119.16410072

Step-by-step explanation:

Help Please
find the solution to this system of equations

Answers

Answer:

-8x + 4y = 24 ----> 2x - y = -6

-7x + 7y = 28 ----> -x + y = 4

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

x = -2, y = 2

X= -2 y= 2 is the answer

Cube Roots of Negative Numbers.
Thank you!♡

Answers

Answer:The cube root of a negative number is a complex number because there is no real number that, when cubed, gives a negative result.

To find the cube root of -1, we can express it in exponential form as -1 = 1 * e^(iπ), where i is the imaginary unit and π is pi.

The cube root of -1 can be calculated by applying De Moivre's theorem, which states that (r * e^(iθ))^(1/n) = r^(1/n) * e^(iθ/n), where r is the magnitude and θ is the argument of the complex number.

For n = 3, the cube root of -1 becomes:

(-1)^(1/3) = (1 * e^(iπ))^(1/3) = 1^(1/3) * e^(iπ/3) = e^(iπ/3).

Therefore, the cube root of -1 is e^(iπ/3), which can also be expressed as cos(π/3) + i * sin(π/3).

In trigonometric form, the cube root of -1 is (√3/2) + i * (1/2).

Can someone help on my last question please?

Answers

Answer:

ight im on it

Step-by-step explanation:

What was the other question ?

Write each expression without the absolute value symbol. |7-(12-x)|

Answers

The expression without the absolute value symbol is given as follows:

If x > 5, then |7 - (12 - x)| = -5 + x.If x = 5, then |7 - (12 - x)| = -5 + x.If x < 5, then |7 - (12 - x)| = 5 - x.

What is the absolute value function?

The absolute value function is defined by the following piecewise rule, depending on the input of the function:

|f(x)| = f(x), x ≥ 0.|f(x)| = -f(x), x < 0.

The expression for this problem is given as follows:

7 - (12 - x).

The critical value of x is obtained as follows:

7 - (12 - x) = 0

7 - 12 + x = 0

x = 5.

Hence the expression is given as follows:

If x > 5, then |7 - (12 - x)| = -5 + x.If x = 5, then |7 - (12 - x)| = -5 + x.If x < 5, then |7 - (12 - x)| = 5 - x.

More can be learned about the absolute value function at https://brainly.com/question/3381225

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I need help ASAP. Thank u so much for ur help

Answers

Answer:

The y intercept should be 1

Y intercept is 1. Where ever the line crosses on the y axis is the answer when you are lookin for y intercept

A restaurant serves a 24-fluid ounce glass of soda that is 40% ice. How many fluid ounces of soda are served
Need help its a test!!!!

Answers

Answer:

14.4 fl ounces

Step-by-step explanation:

60% of 24 is 14.4

The percentage is calculated by dividing the required value by the total value and multiply it by 100.

100% = 24 fluid ounce

60% = 14.4 fluid ounce

The amount of soda in the glass of soda is 14.4 fluid ounces.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiply it by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

A glass of soda = 24 fluid ounce

A glass of soda = Soda + Ice

The percentage amount of ice in the glass of soda = 40%

The percentage amount of soda in the glass of soda.

= 100% - 40%

= 60%

A glass of soda = 24 fluid ounce

This can be written as,

100% = 24 fluid ounce

Multiply 60/100 on both sides.

60/100 x 100% = 60/100 x 24 fluid ounce

60% =  14.4 fluid ounce

Thus,

The amount of soda in the glass of soda is 14.4 fluid ounces.

Learn more about percentages here:

https://brainly.com/question/11403063

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Which cube is a unit cube? A. a cube that is 3 meters long,3 meters wide,and 3 meters high b. a cube is a. that is 9 inches long,9inches wide,and 9 inches high c. a cube that is 1 yard long,1 yard wide, 1 yard high. d. a cube that is 11 centimeters long, 11 centimeters tall ,and 11 centimeters high ​

Answers

Answer:

C. A cube that is 1 yard long, 1 yard wide, 1 yard high

Step-by-step explanation:

A unit cube has a volume of 1 cubic unit.

This means that the length, width, and height are all 1 unit.

Answer choice C is the only one that has a cube with the length, width, and height at 1 unit.

This means it is a unit cube because the volume will be 1 cubic unit.

So, C is the correct answer.

Answer:

Step-by-step explanation:

wow

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