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ashford mat 126 (survey of mathimatical methods)week 1 dq & quiz

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**Ashford MAT 126 Week 1 DQ 1 **

** **

All numbers in our real number system are the product of prime numbers. Complete the following steps for this discussion:

- List the ages of
people in your life, one older than you and one younger than you. It would be best if the younger person was 15 years of age or younger.*two* - Find the prime factorizations of your age and the other two persons’ ages. Show your work listed by name and age. Make sure your work is clear and concise.
- Find the LCM and the GCF for each set of numbers. Again, be clear and concise. Explain or show how you arrived at your answers.
- In your own words, explain the meaning of your calculated LCM and GCF for the ages you selected. Do not explain how you got the numbers; rather
. Be specific to your numbers; do not give generic definitions.*explain the meaning of the numbers* - Respond to at least two of your classmates’ postings. Did your classmates calculate the LCM and GCF correctly? Are their interpretations correctly applied to the ages?

· **Week One Written Assignment Arithmetic Sequence (400+ Words)**

**Ashford MAT 126 Week 1 Quiz 20 MCQ’s**

**1-** Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27 contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue pen, 12 contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 contained all three items. How many backpacks contained exactly two of the three writing instruments?

**2-** Which property of real numbers does the following equation demonstrate?

4(x – 7) = 4x – 28

**3-** Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence.1 2 4 8 16

**4-** Let *U* = {5, 10, 15, 20, 25, 30, 35, 40}

*A* = {5, 10, 15, 20}

*B* = {25, 30, 35, 40}

*C* = {10, 20, 30, 40}.

Find *A* ⋂ *B*.

**5-** Which of the following expressions finishes the equation to demonstrate the associative property of addition?

(3+8)+5=

**6-**In a survey of 24 college students, it was found that 16 were taking an English class, 17 were taking a math class, and 10 were taking both English and math. How many students were taking a math class only?

**7-** Phil has 15 stamps of denominations $0.37 and $0.23. If the total value of the stamps is $4.85 how many $0.37 stamps does Phil have?

**8-** A car travels 359 miles on 6.6 gallons of gasoline. How many miles per gallon did the car get? (Round to the nearest tenth.)

**9-** Round to the nearest hundred. 3,653

**10-** Write the set using set-builder notation: {natural numbers greater than 11}.

**11-** Write the set using set-builder notation: {natural numbers greater than 11}.

**12-** State whether the following sequence is arithmetic, geometric, or neither.

0, 1, 4, 9, 16, 25, 36, ….

**13-** The peak rate of a phone company is $.22 per minute, and the off-peak rate is $.11 per minute. Find the savings for a 16-minute phone call if it was made during off-peak time as opposed to peak time. Round to the nearest hundreth.

**14-** State whether the following sequence is arithmetic, geometric, or neither.

10, 10.25, 10.50625, 10.76890625, ….

**15 –** State whether the following sequence is arithmetic, geometric, or neither.

4, 15, 26, 37, 48, 59, …..

**16 –** Find the number of subsets the set has. {1, 2, 3, 4, 5, 6, 7, 8, 9}

**17 –** Which set is infinite?

**18 –** Which set is finite?

**19-** Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27 contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue pen, 12 contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 contained all three items. How many backpacks contained none of the three writing instruments?

**20 –** Find the general term of the set. {2, 4, 6, 8, 10, . . .}

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