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valentina_108 [34]
3 years ago
6

In algebra, there are lots of rules and properties to remember. The good news is that once you understand them, you can apply th

em in lots of different orders and combinations. Give an example of a mathematic problem that can be solved in multiple ways by applying properties of algebra differently. Explain your reasoning
Mathematics
1 answer:
poizon [28]3 years ago
4 0

Answer & Step-by-step explanation:

Mathematical Problem Example :  100 x 105

By commutative rule, a x b = b x a : 100 x 105 = 105 x 100 = 10500

By distributive rule, a x (b+c) = (a x b)  + (a x c)

Breaking down 105, we get : 100 x 105 = 100 (100 + 5)

= (100 x 100) + (100 x 5) = 10000 + 500 = 10500

As solutions by both rules are same, algebra multiple ways to solve a mathematical problem have been hence proved.

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What is the level of measurement for each of the following variables? a. Distance students travel to class b. A classification o
Lunna [17]

Answer/Explanation:

There are basically 4 main levels of measurement or scales of measurement. They are:

1. Nominal scale: this deals with variables that are categorised, and numbers o i.e.r alphabets assigned are just for the sake of naming, and as such has no numeric value.

2. Ordinal scale: this scale is only used to show order or ranking if variables.

3. Interval scale: in this type of scale, numbers that are ordered have meaningful divisions.

4. Ratio scale: this can be like to interval scale, in that, the ordered numbers have meanings. However, unlike the interval scale, when zero is used, meaningful deductions can be made as zero is meaningful.

Therefore, level of measurement for the variables given in the question are as follows:

a. Distance students travel to class: ratio scale. I.e. zero in this scale is meaningful and would mean no distance was travelled

b. A classification of students by the state of birth: nominal scale, i.e. this only serves the purpose of categorization. The scale here has no numeric value,

c. A classification of students by ethnicity: nominal scale

d. A classification of workers by industry: nominal scale

e. Selling price of the Statistics textbook: ratio scale

f. Student IQ ratings: interval scale, i.e., zero in this scale is not meaningful.

3 0
3 years ago
Bailey bought a twin pack of gum for 2 dollars; this is 50 cents less than 2/3 the cost of a triple pack of gum. What is the pri
lesantik [10]

Answer:

The price of a triple pack of gum is $2.25.

Step-by-step explanation:

its 2am im half alseep i dont know

3 0
2 years ago
Twelve ping-pong balls are in a bag. Ten are white and two are orange. Find the probability that the two orange ping-pong balls
wlad13 [49]

2/12 of a probability

8 0
3 years ago
A prime number is a number that is evenly divisible only by 1 and itself. The prime numbers less than 100 are listed below.2 3 5
Usimov [2.4K]

Answer:

a. 0.96 = 96% probability that the number is odd.

b. 0.48 = 48% probability that the sum of the digits is odd.

c. 0.24 = 24% probability that the number is greater than 70.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We are given the prime numbers less than 100, they are:

2,3,5,7,11,13,17,19,23,29,31,37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

There are 25 prime numbers less than 100.

a. The number is odd

Of the 25, 24 are odd, only the number 2 is even. So

24/25 = 0.96 = 96%

0.96 = 96% probability that the number is odd.

b. The sum of the digits is odd

The sum of the digits is odd for:

3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89. So for 12 of them

12/25 = 0.48 = 48%

0.48 = 48% probability that the sum of the digits is odd.

c. The number is greater than 70

71, 73, 79, 83, 89, 97. 6 of them

6/25 = 0.24 = 24%

0.24 = 24% probability that the number is greater than 70.

5 0
3 years ago
Ms. Smith has $8118 in her bank account on April 1st. She saves $710 in April. Then she must pay $1211 in taxes in May. Ms. Smit
8_murik_8 [283]

Answer: $308

Step-by-step explanation:

Based on the information given in the question, the account balance of Ms. Smith at the end of June will be:

= $8118 + $710 - $1211 + $809

= $8426

Therefore, the difference in her account balance than it was on April 1st will be:

= $8426 - $8118

= $308

4 0
2 years ago
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