Express 80 as the product of its prime factors.
Write the prime factors in ascending order.​

We have four copies of '2' and one copy of '5' multiplied together

This is the same as saying 2^4*5

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

Explanation:

Divide 80 over the smallest prime factor, which is 2

80/2 = 40

Divide that result over 2

40/2 = 20

Keep going until you cannot divide by 2 anymore

20/2 = 10

10/2 = 5

We stop here because 5/2 isn't a whole number. We also stop here since 5 is prime. Circle all the primes that show up and you should have four copies of 2 and one copy of 5.

Therefore: 2*2*2*2*5 = 80

In shorthand, this condenses to 2^4*5 = 80

The factor tree is shown below. Other factor trees are possible.

What is the
average rate of change between:
x = 1 and x = 2?
x = 2 and x = 3?
X = 3 and x = 4?

Im on a girls basketball team , 3 are in sixth grade , 5 are in seventh grade , and 6 are in eighth grade . so which is the ratio of seventh graders to eighth graders on the team ?

Shamus owes his parents $162. He pays them 60% of the $45 he earns as a soccer referee each week. How many weeks will it take Shamus to pay back all of the money he owes his parents?

A quiz has 5 questions with answers that are either true or false. How many different combinations of answers are
possible?
Ο 10
Ο 16
Ο Ο Ο
25
Ο 32

A net of a triangular prism is shown below.
8 ft
3 ft
0 TO 900k
3ft -
5ft
explore
5 ft
re
What is the surface area, in square feet, of the triangular prism

100 Points!!!!! PLEASE HELP. 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

1. 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.

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

Part 2: Writing Equivalent Expressions

3. 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.

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

b. Use the distributive property to create an equivalent expression.

4. 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

5. 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?

Step-by-step explanation:

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 overall make more money together.

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

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:



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



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.


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?

P
13pls answer and will mark brainliest​

if a=1 and b=2 what is the value of a²+b²?​

lf 9/28 of the students at Williards High school participate in after school sports activities, what fraction of the students do not participate in after school activities

Can I get some help on this can’t find any of the answers anywhere

Help pls Show work if needed

Find the value of x to the nearest tenth

Plz help me well mark brainliest if correct!!.....

A number is five less than twice another number

If you can help me with these 4 questions I'll give brainliest :))​

What is the arc measure of major arc ABC in degrees?

Which iwo operations are needed to write the expression that represents four times the difference of a number and
three"?
multiplication and subtraction
division and subtraction
multiplication and addition
O division and addition




J

Given the system of equations, what is the solution?

x + 2y = 7
x - 2y = -1

A.) {(-4, 6)}
B.) {(-8, -12}
C.) {(3,2)}

If you know that log5 (2) - log5 (12) = 0, which of the following is false?
ол
A log5 (x) = log5 (12)
O Blog (2 - 12) = 0
C log5 (x) = 0
ор.
2 = 12

which is it? please help me and i will give brainliest

Which of the following should not be used as justification in a formal proof?
Postulates
Theorems
Axioms
Venn diagrams

Researchers asked 250 families whether or not they were homeowners and how many cars they had. Their responses are summarized in the following table.
No car or one car Two or more cars
Homeowner
25
90
Not a homeowner
45
90
(a) what percentage of the families are homeowners?
(b) What percentage of the familles have two or more cars?
х
S
?
(b) 1%
Explanation
Check
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Which of the following is the reciprocal parent function?
A. F(x) = |x|
B. F(x) = 1/x
C. F(x) = -x2
D. Fx) = x + 1

Identify the missing measures

please answer the question! i will give brainliest!!!!!!

A man made a loss of 4% on an article he had sold for Tzs 240 more he had made a profit of 8%. Find the cost price​

Which of these data sets is symmetrical?

A. 1, 8, 15, 15, 22, 22, 22, 29, 29, 36, 43

B. 1, 8, 15, 22, 22, 22, 29,29, 29, 36, 43

c. 1, 8, 15, 15, 15, 22, 22, 22, 29, 36, 43

D. 1,1, 15, 15, 22, 22, 22, 29, 29, 36, 43

The pie chart shows the results of a survey on
students' favourite subjects.
a What fraction of the students chose Science?
b 60 students chose Maths.
i How many students chose Languages?
ii How many students chose Other?
jii How many students took part in the survey?
Favourite subjects
380 1200
O Mathis
Languages
Science
Art
DOther
90° 42
sh
o
a

The amount of time (in minutes per day) spent on social media for a sample of 10 teens has a mean of 186.7 and a sample standard deviation of 19.99. An independent sample of 8 older adults has a mean of 93.5 minutes with a sample standard deviation of 32.01. Assume that the time spent on social media is approximately normally distributed for each group. a) Determine the value of the test statistic to test H subscript 0 colon space mu subscript t e e n end subscript equals mu subscript o l d e r end subscript against H subscript A colon space mu subscript t e e n end subscript not equal to mu subscript o l d e r end subscript. b) Determine the p-value or critical value for this test at alpha equals 0.05. c) What is your conclusion about whether the two age groups spend the same average amount of time on social media

The angles shown below are supplementary:
What is the value of x?
BRAINLIEST
PLEASE HELP
SHOW WORK