Question

The sum of three consecutive integers is 267. What is the largest integer?

Numerical Answers Expected!

Answer 1

guess and check for this one

Answer 2

x + (x+1) +(x+2) = 267 solve

Answer 3

yeh follow @freewilly922 's method.

Answer 4

divide 267 by 3. the answer is the middle integer, the number before and the number after are the others.

Answer 5

u lost me

Answer 6

easiest terms possible plz

Answer 7

x + (x+1) +(x+2) = 267. x being the first number, (x + 1) being the next consecutive number, and (x + 2) being the second consecutive number. the sum of those equal 267

Answer 8

so x + x + x = 3x and 1 + 2 = 3.

so 3x + 3 = 267

Answer 9

tht the answ?

Answer 10

no, you gotta solve for x first

Answer 11

then you can solve (x + 2)

Answer 12

which would be the largest number, right?

Answer 13

me=lost gain

Answer 14

:/

Answer 15

Which is why he should guess the numbers. (Guess and check like satellite prescribed)

Answer 16

no, he shouldn't guess. he already knows 3x + 3 = 267, all he has to do is solve for x, and add 2..

Answer 17

91?

Answer 18

it's 90

Answer 19

x = 88, 88 + 2 = 90

Answer 20

does that make sense?

Answer 21

yea buddie

Answer 22

oh so 88,90 r the answers?

Answer 23

no, 90 is the answer. it only asked for the largest integer

Answer 24

88 is the first integer. 89 is the next number, and 90 is the largest

Answer 25

k

Answer 26

88 + 89 + 90 = 267

Answer 27

ohhhh lol sorry my brain aint funtioning right its to late

Answer 28

User: Taylor Bennett
In Course: Algebra I V17 ( 3939)
Instructor: Jessica Smith





02.02 Two-Variable Equations

Warning: There is a checkbox at the bottom of the exam form that you MUST check prior to submitting this exam. Failure to do so may cause your work to be lost.





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Question 1 (Fill-In-The-Blank Worth 1 points)

(02.02)

A store offers a 15% discount on all items in the store during a sale. All store employees get an additional 10% employee discount. In the equation below, C represents the cost of an item for an employee including tax, and x represents the original price of the item.

C = 0.765x + 0.06(0.765x)

Chris is an employee at the store. He plans to buy a coat during the sale. The price of the coat before the discount is $100. How much will Chris pay for the coat during the sale? Remember, do not include the $ symbol.

Numerical Answers Expected!

Answer for Blank 1:



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Question 2 (Fill-In-The-Blank Worth 2 points)

(02.02)

The cost of coffee is determined by the type of coffee beans that are mixed together. The cost of a local mix of Arabica and Robusta beans is modeled by the equation below where A = the pounds of Arabica and R = pounds of Robusta.

700A + 1200R = 1,000,000

If a mixture contains 1000 pounds of Arabica beans, how many pounds of Robusta beans should be in the mixture?

R = ________________ pounds

Numerical Answers Expected!

Answer for Blank 1:



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Question 3 (Fill-In-The-Blank Worth 1 points)

(02.02)

Maya and Sally were the two finalists in a singing competition. The person with the most votes from the audience was chosen as the winner. Sally received 25% of the total votes and lost by 62,500 votes. No person in the audience was allowed to vote more than once. The equation below represents this situation, where y is the total number of votes cast and x is the number of votes Maya received.

x - 62,500 = 0.25y

If a total of 125,000 people voted, how many votes did Maya receive? Do not enter comma for placeholder values.

Numerical Answers Expected!

Answer for Blank 1:



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Question 4 (Fill-In-The-Blank Worth 3 points)

(02.02)

Evan is making a table that will be created in the shape of the figure below. The table top is a triangle attached to a rectangle. To purchase the right amount of paint, he needs to know the area of the table top. He can only spend $10 on paint, which is enough to cover 150 ft2 of surface area. What is the maximum length of the base of the rectangle he can build?



x = __________________ ft

Numerical Answers Expected!

Answer for Blank 1:



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Question 5 (Fill-In-The-Blank Worth 1 points)

(02.02)

The sum of three consecutive integers is 267. What is the largest integer?

Numerical Answers Expected!

Answer for Blank 1:



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Question 6 (Fill-In-The-Blank Worth 2 points)

(02.02)

As the number of pages in a photo book increases, the price of the book also increases. There is an additional shipping charge of 15%. The price of a book can be modeled by the equation below where, P = the price of the book, 20 is the printing charge, 0.5 is the charge per page, and x = the number of pages.

P = (20 + 0.5x) + 0.15(20 + 0.5x)

Jennifer wants to purchase a book but only has $62.10 to spend. What is the maximum number of pages she can have in her book?