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Mrs. Martini is 6 years more than 3 times as old as Tony. Eight years ago, she

zalisa [80]

Mrs Martini age is 42 years and Tony age is 12 years

Step-by-step explanation:

The given is:

Mrs. Martini is 6 years more than 3 times as old as Tony
Eight years ago, she was 2 years less than 9 times as old as he was then

Assume that Tony is x years old now

∵ Mrs. Martini is 6 years more than 3 times as old as Tony

∵ Tony is x years old

- Multiply the age of Tony by 3 and add 6 to the product

∴ The age of Mrs Martini = 3 x + 6

8 years ago

- Subtract 8 from the age of each one

Tony age = (x - 8)

Mrs Martini age = (3 x + 6) - 8 = 3 x + 6 - 8 = 3 x - 2

∵ Eight years ago, Mrs Martini was 2 years less than 9 times as old

as Tony was then

- Multiply Tony age by 9 and subtract 2 from the product

∵ Tony age from 8 years ago = x - 8

∵ Mrs Martini age from 8 years ago = 3 x - 2

∴ 9(x - 8) - 2 = 3 x - 2

- Simplify the left hand side

∴ 9 x - 72 - 2 = 3 x - 2

- Add like terms

∴ 9 x - 74 = 3 x - 2

- Subtract 3 x from both sides

∴ 6 x - 74 = -2

- Add 74 to both sides

∴ 6 x = 72

- Divide both sides by 6

∴ x = 12

∵ x represents the age of Tony

∴ Tony is 12 years old

∴ 3 x + 6 is the age of Mrs Martini

- Substitute x by 12

∵ 3(12) + 6 = 36 + 6 = 42

∴ Mrs Martini is 42 years old

Mrs Martini age is 42 years and Tony age is 12 years

Learn more:

You can learn more about word problems in brainly.com/question/10557938

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6 0

3 years ago

The numbers 1 through 50 are written with red marker on slips of paper while the numbers 51 through 100 are written with blue ma

allsm [11]

The correct answer for the question that is being presented above is this one:

We want to pull 11 (this means not including 12) or less from the bag and there are 100 possibilities
= 11/100
So the probability is <span>11/100</span>

4 0

3 years ago

You want to know the side length of the square swimming pool. Explain how you can use the perimeter then find the side length to

olganol [36]

Its a square pool and its perimeter is 100 yards.

We know that a square has 4 sides with the same length so we can give a square perimeter by the sum of their 4 sides

Lets call the side "l" and since we have 4 of them we need to sum it 4 times

l + l + l + l = perimeter

4l = perimeter

We know the perimeter

4l = 100

Divide both sides by 4

4l/4 = 100/4

l = 25

So the side length is equal to 25 yards

4 0

4 years ago

Suppose that the current measurements in a strip of wire are assumed to follow a normal distribution with a mean of 10 millimete

KiRa [710]

Answer: the probability that a measurement exceeds 13 milliamperes is 0.067

Step-by-step explanation:

Suppose that the current measurements in a strip of wire are assumed to follow a normal distribution, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = current measurements in a strip.

µ = mean current

σ = standard deviation

From the information given,

µ = 10

σ = 2

We want to find the probability that a measurement exceeds 13 milliamperes. It is expressed as

P(x > 13) = 1 - P(x ≤ 13)

For x = 13,

z = (13 - 10)/2 = 1.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.933

P(x > 13) = 1 - 0.933 = 0.067

6 0

3 years ago

Hey can you please help me posted picture of the question

Andrews [41]

If we observe the graph it crosses x-axis at the following points:
1) x = - 2
2) x = - 5

This means, x+ 2 and x + 5 are the factors of the polynomial. A polynomial can be expressed as the product of its factors. So we can express the given polynomial as (x + 2)(x + 5)

Thus the answer to above question is option C

4 0

3 years ago