Problem on basic math and linear equations


Assignment:

Q1. ­13 /18   +   11 /18

Q2. 18/ 23   -  13 / 23   - 3/ 23

Q3. Number problem. One task took 7 minutes (min), a second task took 12 min, and a third task took 21 min.  How long did the three tasks take, as a fraction of an hour?

Q4. Geometry.  Find the perimeters of the following triangles

3/ 8 cm 3/ 8cm 3/ 8cm

Q5. Find the least common multiple (LCM) for each of the following group of numbers.  Use which ever method you wish

Q6. Perform the indicated operations

Q7. 1 1/15 + 3 3/10 - 2 4/5      

Q8. Statistics.  Robin ran 5 1/3 miles on Sunday, 2 1/4 miles on Tuesday, and 3 1/2 miles on Friday. How far did she run during the week?

Q9. Business and finance. The interest rate on an auto loan in May was 12 3/8%.  By September the rate was up to 14 1/4%.  How many percentage points did the interest rate increase over the period?

Q10. Business and finance.  Julio works as a quality control expert in a beverage factory.  The assembly line that he monitors produces about 20,000 bottles in a 24-hour period.  Julio samples about 120 bottles an hour and rejects the line if he finds more than 1/50 of the sample to be defective.  About how many defective bottles should Julio allow before rejecting the entire line?

Q11. Business and finance.  Lunch meat sells for about $3 per pound.  You use about 1 /2 pound per day for sandwiches.  How much should you budget for lunch meat over the next month (about 20 workdays)? 

Q12. 7 11/ 12 divided by 6 1/10

Q13. Benjamin and Olivia are putting a new floor in their kitchen. To get the floor up to the desired height, they need to add 1 1/8ft of sub floor.  They can do this in one of two ways.  They can put 1/2in. sheet on top of 5/8in. board (note that the total would be 9/8ft or 1 1/8ft).  They could also put 3/8in.board on top of 3/4in. sheet. The table below gives the price for each sheet of plywood from a Home Depot store on 1/15/04.

Thickness cost for a 4ft x 8ft sheet

1/8in.               $9.15

1/4in.              $13.05

3/8in.              $14.99

1/2in.              $17.88

5/8in.              $19.13

3/4in.              $21.36

7/8in.              $25.23

1 in.               $28.49

Q1. What is the combined price for a 1/2in. sheet and a 5/8in. sheet?

Q2. What is the combined price for a 3/8in. sheet and a 3/4in. sheet?

Q3. What other combination of sheets of plywood yields the needed 1 1/8in. thickness?

Q4. Of the four combinations, which is most economical?

Q5. The kitchen is to be 12ft X 12ft. Find the total cost of the plywood you have suggested in question 4. 

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Problem on basic math and linear equations
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