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3 years ago

Tina is 4 times older than Hanna. The sum of their ages is 40. How old is Hanna?

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

5 0

Answer:

Hanna is 8 years old.

Step-by-step explanation:

Hanna = x

Tina = 4x

Sum = 40.

Hanna =?

Hanna + Tina = 40

4x + x = 40

5x = 40

x = 40/5

x = 8.

Hanna is 8 years old.

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Leviafan [203]

Answer:

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This graph displays the change in wage per years of service. Since the slope is positive, this means the wage has a positive growth.

Number 8: $m=\frac{-400}{3}$

This graph displays the amount of people evacuating per hour. Since the slope is negative, this means the amount of people evacuating per hour is reducing.

Step-by-step explanation:

Number 7:

Step 1: Identify the points on the line to use for slope formula.

The two points are (2, 11) and (6, 17).

$x^1$ and $y^1$ will be $(2,11)$

$x^2$ and $y^2$ will be $(6, 17)$

Step 2: Plug in points into slope formula.

$m=\frac{y^2-y^1}{x^2-x^1}$

$m=\frac{17-11}{6-2}$

Step 3: Subtract.

$m=\frac{6}{4}$

Step 4: Simplify.

improper fraction: $\frac{3}{2}$

mixed number: $1\frac{1}{2}$

decimal: $1.5$

Number 8:

Step 1: Identify the points on the line to use for the slope formula.

The two points are (3, 1200) and (6, 800)

$x^1$ and $y^1$ will be $(3,1200)$

$x^2$ and $y^2$ will be $(6, 800)$

Step 2: Plug in points into slope formula.

$m=\frac{y^2-y^1}{x^2-x^1}$

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Step 3: Subtract.

$m=\frac{-400}{3}$

Step 4: Simplify.

Cannot be simplified further.

mixed number: $m=\frac{-400}{3}$

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Step-by-step explanation:

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3 years ago

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kvv77 [185]

Answer:

1 and 2. { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 , 100 }

3. Mean ➡ 13.67 ( About )

4. The mean will decrease. The mean is the average difference between the values in a data set, and this outlier is much greater than the rest of the values. Therefore, in the absence of the outlier the mean will decrease.

5. Mean ➡ 7.5

Step-by-step explanation:

I do want to point out that there is no " correct " answer in this case, but if you are referring to accuracy in terms of the calculations ( mean ) in this set, then I can understand.

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