A wise man once said, "500 reduced by 4 times my age is 204." What is his age? ( This question is pulled right from the book and the teacher expects me to show steps...please answer with work Thanks.)

Answers

Answer 1
Answer: Here's my work:(don't copy the side explanations into yours)

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Bob and Mark talk about their families. Bob says he has 3 kids, the product of their ages is 72. He gives another clue: the sum of the ages of his children. Mark points out that there is still not enough information to accurately guess. Finally, Bob says, "My youngest child called Justice." Mark can then correctly determine the ages of Bob's children. What are the ages?

Answers

I have answered this question before. 

Given:
Bob has three kids whose ages has the product of 72. I will only be able to give you a set of 3 numbers to represent the ages. Had the sum of the ages been given, the specific ages would be provided.

I just did a prime factorization of 72.

72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 =   9
  9 ÷ 3 =   3
  3 ÷ 3 =   1

1 x 2 x 2 x 2 x 3 x 3 = 72   ⇒ 2³ x 3²

There are a lot of possible combinations, here are a few.

1 x 8 x   9 = 72      ⇒ 1 + 8 + 9 = 18
1 x 4 x 18 = 72      ⇒ 1 + 4 + 18 = 23
2 x 4 x   9 = 72      ⇒ 2 + 4 + 9 = 15

A recent study indicates that the annual cost of maintaining and repairing a car in a town in Ontario averages 200 with a variance of 260. A tax of 20% is introduced on all items associated with the maintenance and repair of cars (i.e., everything is made 20% more expensive). Calculate the variance of the annual cost of maintaining and repairing a car after the tax is introduced.

Answers

Answer:

374.4

Step-by-step explanation:

All items related to the maintenance are 20% more expensive, it means that each datum is 20% bigger including the average.

The variance its a dispersion measurof the data and its calculated of this way:

\sigma^(2) =(1)/(n) \sum\limits^n_(i=1) (x_(i)-\var{x})^2\n

Here n is the number of data, \var{x} is the average and x_(i) represent each datum. The increment in 20% in each parameter can be represented multiplying for 1.2, of this way

\sigma_(20\%)^(2) =(1)/(n) \sum\limits^n_(i=1) (1.2x_(i)-1.2\var{x})^2\n

Factorizing the 1.2 we have:

\sigma_(20\%)^(2) =(1)/(n) \sum\limits^n_(i=1) (1.2(x_(i)-\var{x}))^2

\sigma_(20\%)^(2) =(1)/(n) \sum\limits^n_(i=1)1.2^(2) (x_(i)-\var{x})^2

\sigma_(20\%)^(2) =(1.2^(2))/(n) \sum\limits^n_(i=1) (x_(i)-\var{x})^2\n

That is:

1.2^(2)\sigma^(2)=\sigma_(20\%)^(2)

The new variance is 1.2^(2) \sigma^(2) =1.44*260=374.4

Final answer:

To calculate the variance of the annual cost of maintaining and repairing a car after the tax is introduced, we can use the formula var(X + c) = var(X), where X is the original cost and c is the tax rate. In this case, the tax rate is 20%, so c = 0.2. The variance of the original cost is 260, so the variance of the cost after the tax is introduced is also 260.

Explanation:

To calculate the variance of the annual cost of maintaining and repairing a car after the tax is introduced, we can use the formula var(X + c) = var(X), where X is the original cost and c is the tax rate. In this case, the tax rate is 20%, so c = 0.2. The variance of the original cost is 260, so the variance of the cost after the tax is introduced is also 260.

Learn more about variance of annual cost here:

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ordered pairs in which of these formats do not have to represent a function? (Length of side of a square,perimeter of square)​

Answers

Answer: the answer is base of triangle, height of triangle

got it wrong because of that other guy answers was wrong

Answer:

perimeter of square

Step-by-step explanation:

Determine the discriminant for the quadratic equation 0 = –2x2 + 3. Based on the discriminant value, how many real number solutions does the equation have?Discriminant = b2 – 4ac

Answers

Hello,

-2x²+3=0
Δ=0²+4*2*3=24

==>2 reals solutions

Answer:

2 is the real solution

Step-by-step explanation:

Is three forths bigger than four fifths

Answers

no, 4/5 is bigger than 3/4 because when you find the common denominator between the two 4/5 becomes 16/20 while 3/4 becomes 15/20.

wish it helps


At the baseball stadium the price of popcorn $17.57 for 7 bags. If you wanted to but 3 bags of pop corn. howmuch will it cost?

Answers

Answer:

To calculate the cost of 3 bags of popcorn at the baseball stadium, we can use the given information that the price of popcorn is $17.57 for 7 bags.

First, we need to determine the cost per bag of popcorn. To do this, we divide the total cost by the number of bags:

Cost per bag = Total cost / Number of bags

In this case, the total cost is $17.57 and the number of bags is 7. Therefore,

Cost per bag = $17.57 / 7 = $2.51 (rounded to two decimal places)

Now that we know the cost per bag, we can calculate the cost of 3 bags by multiplying the cost per bag by the number of bags:

Cost of 3 bags = Cost per bag * Number of bags

Substituting in the values, we have:

Cost of 3 bags = $2.51 * 3 = $7.53

Therefore, it will cost $7.53 to buy 3 bags of popcorn at the baseball stadium.

Step-by-step explanation: