A polygon has vertices at (-1, 1), (1, 1), (1, -1), and (-1, "1). What is the perimeter, in units, of the polygon?

Answer:

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 they can earn.

Part 1: Writing Expressions

Q1. 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.

25(10j + 18 + 5j)

Your expression is good.

Q2. Translate the new algebraic expression you created in Question 1 to a verbal expression.  

Skuttle offered to pay his sister Izzy $25 for every four leaf clover she finds in the woods. Izzy finds 18 clovers but decides to get Roxy’s help. Izzy finds clovers twice as fast as Roxy but they will over all make more money together.

Your verbal expression is good. It refrects your chosen equation.

Part 2: Writing Equivalent Expressions

Q3. Use your knowledge of the mathematical properties to create two equivalent algebraic expressions for the algebraic expression you created in Question 1. Explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used.

Using commutative property of addition, the expression in question 1 can be rewritten as follows:

25(10j + 18 + 5j) = 25(10j + 5j + 18)

Using distributive property of multiplication over addition, the expression in question 1 can also be rewritten as follows:

25(10j + 18 + 5j) = 250j + 450 + 125j

Q 4. Use substitution to prove your algebraic expressions are equivalent. You may substitute any number for the variables you choose. Show all your work for complete credit.

Now we can subsitute, say 7 for j.

For the first expression, we have:

25(10j + 5j + 18) = 25(10(7) + 5(7) + 18)

= 25(70 + 35 + 18) = 25(123) = 3,075.

For the second expression, we have:

250j + 450 + 125j = 250(7) + 450 + 125(7) = 1,750 + 450 + 875 = 3,075.

Thus, we can see that both expressions are equivalent.

Part 3: Finish the Story

Q5. 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 they earn?

Sarah found 3 + 7 = 10 shark teeth.

John found 10 / 2 = 5 shark teeth.

The total money they earned is $5 x 15 = $75.

Step-by-step explanation:

Answer:

EEEEEEEEEEEE

Step-by-step explanation:

Answer:

yasssssssssss♡´･ᴗ･`♡. (^.^)

Answer:

105.84 cm²

129 ft²

Step-by-step explanation:

please mark me as brainliest

Answer:

120/100 a = 80/100 b

12/10 a = 8/10 b

10 (12/10) a = 10 (8/10) b

12a= 8b

3a= 2b

a+b in terms of a

b = 3/2×a

a+ 3/2×a = 5/2×a

a+b in terms of b

a = 2/3×b

b + 2/3.b = 5/3×b

Answer:

it wil be 96

Step-by-step explanation:

85 88 and 97 are all numbers that contributet to the exponentialalty ogf this number 96

Answer:

the answer is 96

Step-by-step explanation:

Answer:

A distance of 3,000 meters is approximately 1.86 miles or 3 kilometers.

Step-by-step explanation:

hope it HELPPS

Answer:

1.86 miles or 3 kilometers.

Answer:

false

Step-by-step explanation:

Answer:

a statistical question is one that we can answer using data

example: How much do 5 gorillas weigh at the zoo called wilderness?

Answer:

"How much do the animals at Fancy Farm weigh?"

Step-by-step explanation:

A system of equations in​ slope-intercept form can be solved by,

D. Graphing and substitution are appropriate to use if the answer involves integer values. If the answer involves values that are not​ integers, the substitution would be more efficient because an exact answer can be obtained. It can be difficult to read graphs if the intersection point does not have integer values so this would be an inefficient method to solve with.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, a system of equations in​ slope-intercept form y₁ = m₁x₁ + b₁ and

y₂ = m₂x₂ + b₂.

We can use both substitution and graphing depending on the numerical values of the variables.

If the solution involves integer numbers, graphing and substitution are the proper methods to utilize. Substitution would be more effective since an accurate solution may be reached if the solution involves values that are not integers. If the intersection point doesn't have integer values, it can be challenging to understand graphs, so using this approach to solve would be ineffective.

learn more about lines and slopes here :

https://brainly.com/question/3605446

#SPJ2

Answer:

x = -6/ -7/ -8/ -9/ -10/ -11...... every number less -5

Step-by-step explanation:

Answer:

The cell phone company sold 1,500 phones that day.

Step-by-step explanation:

450 x 100 = 45,000

45,000 ÷ 30 = 1,500

Answer:

67 degrees or 113 degrees.

Step-by-step explanation:

The other angle is 67 degrees because a complementary angle adds up to 90 degrees. It could also be 113 because that is 23 degrees more than a complementary angle.

The speed for the given distance and time is 12.6 miles per hour.

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.

Given that, a car drives [tex]10\frac{1}{2}[/tex] miles in 1/6 hour.

We know that, the formula to find the speed is Speed=Distance/Time

Speed = [tex]10\frac{1}{2}[/tex] ÷ 1/6

= 21/10 ×6/1

= 63/5

= 12.6 miles per hour

Therefore, the speed for the given distance and time is 12.6 miles per hour.

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

brainly.com/question/4978052.

#SPJ2

What you have to do is first subtract 20 from 80 and get 60 then use the data to fill in the blanks!

Hope this helps!!!

Answer: x = 35

Step-by-step explanation:

since its a 90 degree angle the equation is equal to 90

2x + 20(-20) = 90(-20)

2x/2 = 70/2

x = 35

hope this helps :))

Answer:

67.4%

Step-by-step explanation:

246/365*100

Answer:

1: about 12min 2:yes 3: 55 4: 5

Step-by-step explanation: why do you ask

Answer:20

Step-by-step explanation: I'm good at math and i know the answers

Answer:

$4

Step-by-step explanation:

Because with no distance traveled, the fixed amount charged would be $4. For every mile traveled, there is an additional $5. So your correct answer is $4.

Answer:

Gcf or Lcf, you didint state on question

Answer:

rectangle triangle trapezium

Step-by-step explanation:

rectangle =length×width(12×7=84)

triangle=1/2base×height(1/2×8×7=28)

trapezium=1/2sum of parallel lines ×height(1/2×(6+2)×7=28)

area of the rectangle subtract area of two trapeziums. (84-{28×2}=28)

Answer:

13k

or

13 x k

Step-by-step explanation:

Answer:

6 miles

Step-by-step explanation:

if u dont mind givin me brainliest im just trying to rank up

Answer:

Step-by-step explanatioihhin:

Answer:

C is the answer

Step-by-step explanation:

1. distribute (multiply) -6 to 4

2. than -r

3. answer would be -24 - 6 = 30

-6r shouldn't be positive. It should stay negative

Answer: 1. 32x37.21 =1192

2. 120

3. 12

4. 24

Step-by-step explanation: