Question

1. The sum of two consecutive page numbers in a book is 349. Find the page numbers. The page numbers are _ and 2. An airplane travels 70 mph faster from Atlanta to For Lauderdale than it travels on the return trip from Fort Lauderdale to Atlanta. If it takes 3.3 hr from Atlanta to Fort Lauderdale and 4 hr for the return trip, determine the speed of each trip. A. The plane flies at mph from Atlanta to Fort Lauderdale. B. The plane flies at mph from Fort Lauderdale to Atlanta. 3. A recreational court if four times as long as it is wide. If the perimeter is 265 ft, find the dimensions of the court. A. The with of the recreational court is B. The length of the recreational court is _

          1. The sum of two consecutive page numbers in a book is 349.
Find the page numbers. The page numbers are ___ and ____
2. An airplane travels 70 mph faster from Atlanta to For
Lauderdale than it travels on the return trip from Fort Lauderdale
to Atlanta. If it takes 3.3 hr from Atlanta to Fort Lauderdale and
4 hr for the return trip, determine the speed of each
trip. 
A. The plane flies at __ mph from Atlanta to Fort
Lauderdale.
B. The plane flies at __ mph from Fort Lauderdale to
Atlanta.
3. A recreational court if four times as long as it is wide. If
the perimeter is 265 ft, find the dimensions of the court.
A. The with of the recreational court is ____
B. The length of the recreational court is ___

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Added by Natalia F.

Grade 6 Mathematics: Open Up Resources, Common Core State Standards Edition

N/A 6th Edition

Instant Answer

Solved by Expert Cristopher Lopez

07/28/2022

Step 1

The second page number would be x + 1. Therefore, the equation becomes: x + (x + 1) = 349 2x + 1 = 349 2x = 348 x = 174 So, the page numbers are 174 and 175. Step 2: For the airplane traveling from Atlanta to Fort Lauderdale and back, we set up the equations: Let Show more…

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1. The sum of two consecutive page numbers in a book is 349. Find the page numbers. The page numbers are ___ and ____ 2. An airplane travels 70 mph faster from Atlanta to For Lauderdale than it travels on the return trip from Fort Lauderdale to Atlanta. If it takes 3.3 hr from Atlanta to Fort Lauderdale and 4 hr for the return trip, determine the speed of each trip. A. The plane flies at __ mph from Atlanta to Fort Lauderdale. B. The plane flies at __ mph from Fort Lauderdale to Atlanta. 3. A recreational court if four times as long as it is wide. If the perimeter is 265 ft, find the dimensions of the court. A. The with of the recreational court is ____ B. The length of the recreational court is ___

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Transcript

00:01 All right.

00:01 So for this, we're going to use equations to set up and solve the problems that we got.

00:08 For number one, it says you have two pages and it sums up to 349.

00:14 So for one, what we're going to do is we're going to get two pages.

00:18 So let's say the first page is x and the second page since they add them up together is x plus one.

00:24 So whatever value of the first one, the next page is x plus one equals to 349.

00:30 Okay so now you just solve for x so you have 2x plus 1 equals to 349 subtract 1 from both sides 2x equals to 348 divide by 2 x equals to 174 so the two pages are going to be 174 and 175 so i'll do this page 1 1 1 is going to equal 174 and p2 is going to equal 175.

01:09 And they both add up to 349.

01:13 Okay, for number two, you have two planes.

01:17 Okay.

01:18 And from atlanta to fort lauderdale, it's traveling 70 miles per hour faster than if you're going the opposite way.

01:25 Okay.

01:26 And it takes you three and a three or three point three hours to go from atlanta to fort lauderdale and to go back, it takes you four hours.

01:32 So this is how you use the information.

01:35 Okay.

01:35 So we know, the first trip is going to be 3 .3 hours.

01:42 Now, we don't know the miles per hour, so that's going to be x, but we know that the first one is going to be 70 miles per hour faster than the second one.

01:50 Now, since it's the same trip, you're going to equal them to each other...

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