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.
1. Lois is making applesauce. Each batch she makes yields 3.25 quarts of applesauce. Lois already has 1.5 quarts. She would like to have a total of 14.5 quarts before she is finished for the day. How many batches of applesauce does Lois need to make?
First I subtracted 14.5-1.5=13.5 and I knew I needed to divide 3.25 and 13.5, but forgot how to. Someone helped me with this but, I still don't get it.
Help me understand, please.
#7. 9x+2 = 38
10. 25+20x <= 425
#1. 3.25x + 1.5 = 14.5
First off, 14.5-1.5=13, not 13.5
Now divide by the size of each batch, to get the number of batches.
thank you
what is the inequality for number 10
It is as I wrote it. Sorry I forgot the # sign ...
For question 7, let's set up a two-step equation to find the value of x. We know that Jim has 38 bottles of water, and he has 9 bottles of size x. He also has one pack that contains only 2 bottles.
So, the total number of bottles Jim has can be represented as 9x + 2. This should be equal to 38, since that's the total number of bottles.
Setting up the equation:
9x + 2 = 38
To solve this equation, we need to isolate x.
Step 1: Subtract 2 from both sides of the equation to get rid of the constant term:
9x = 38 - 2
9x = 36
Step 2: Divide both sides of the equation by 9 to solve for x:
x = 36 / 9
x = 4
Therefore, the value of x is 4.
For question 10, we can set up an inequality to find the least number of days Addison will take to finish the book. Addison initially reads 25 pages and then reads 20 pages every day until she finishes the book, which has a total of 245 pages. Let's denote the number of days it takes Addison to finish the book as d.
So, an inequality can be set up as:
25 + 20d ≤ 245
To solve this inequality, we need to isolate the variable d.
Step 1: Subtract 25 from both sides of the inequality to get rid of the constant term:
20d ≤ 245 - 25
20d ≤ 220
Step 2: Divide both sides of the inequality by 20 to solve for d:
d ≤ 220 / 20
d ≤ 11
Therefore, the least number of days Addison will take to finish the book is 11.
For question 1, you have already done the first step correctly by subtracting 1.5 from 14.5 and obtaining 13.5.
To find out how many batches of applesauce Lois needs to make, you need to divide 13.5 by 3.25.
Dividing 13.5 by 3.25 can be done as follows:
Start by dividing the whole numbers: 13 ÷ 3 = 4 (since 4 x 3 = 12).
Then, subtract the product of the whole numbers and the divisor from the dividend: 13.5 - (4 x 3.25) = 13.5 - 13 = 0.5.
Now, bring down the decimal remainder and divide again:
0.5 ÷ 3.25 = 0.1538 (rounded to four decimal places).
Therefore, Lois needs to make approximately 4.1538 batches of applesauce to have a total of 14.5 quarts. Since you can't have fractional batches, Lois would need to make at least 5 batches to have a total of 14.5 quarts before she is finished for the day.