7. Jim has 38 bottles of water in 9 of x bottles and one pack that contains only 2 bottles. What is the value of x? (Hint: Set up a two-step equation.)
I don't know how to solve this. Help.
10. Addison read 25 pages of the book the first day. She continued to read 20 pages every day. The book has 245 pages. write an inequality for the least number of days Addison will finish the book.
I don't know how to solve this. Help.
7. 9 * 4 = 36
36 + 2 = 38
10. 25 + 20x > 245
To solve question 7, we need to set up a two-step equation to find the value of x.
1. Let's assume that x is the number of bottles in each of the 9 packs. We also know that there's an additional pack with 2 bottles.
2. To find the total number of bottles, we can multiply the number of packs (9) by the number of bottles in each pack (x). Then, we add the 2 bottles in the additional pack.
3. This can be expressed as the equation: 9x + 2 = 38.
Now, let's solve the equation:
4. Subtract 2 from both sides of the equation: 9x = 36.
5. Divide both sides of the equation by 9 to isolate x: x = 4.
Therefore, the value of x is 4.
Now, let's move on to question 10.
To write an inequality for the least number of days Addison will finish the book, we can use the information given.
1. Let's assume that d represents the number of days it takes for Addison to finish the book.
2. We know that Addison reads 25 pages on the first day and continues to read 20 pages every day.
3. By multiplying the number of days (d) by the number of pages read each day (20), we can find the total pages read after d days. Adding the 25 pages from the first day, this can be expressed as: 20d + 25.
4. We want Addison to read at least 245 pages, so our inequality is: 20d + 25 >= 245.
Therefore, the least number of days Addison will finish the book is when this inequality is satisfied.