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2 years ago

4 boys have a mean height of 162cm.Another boy with a height of 165cm joins them.What is the new mean height?

Mathematics

1 answer:

Marina CMI [18]2 years ago

7 0

Answer: 162.6cm

Step-by-step explanation:

4 boys have a mean height of 162cm. Their total height will be the average multiplied by the number of boys which will be:

= 162 × 4

= 648cm

A new boy with height of 165cm joined. This means that we now have 5 boys and their total height will be:

= 648cm + 165cm

= 813cm

The new mean height will be:

= Total height / Number of boys

= 813 / 5

= 162.6cm

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Answer:

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Step-by-step explanation:

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3 years ago

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Akira and Hideo are twins with different jobs. Akira earns five-eighths of what Hideo earns, but Akira's expenses are half of Hi

Xelga [282]

Answer:

25%

Step-by-step explanation:

Let x represent Akira income and let y represent Hideo income.

Since Akira earns five-eighths of what Hideo earns, therefore Akira income is given by:

x = (5/8)y

Let a represent Akira expenses and let y represent Hideo expenses. Since Akira expenses is half of Hideo, hence:

a = (1/2)b; b = 2a

Given that Akira savings is 40% of his income, we have:

savings = income - expenses

40% of x = x - a

a = x - 0.4x

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For Hideo:

Income = y, expenses = b = 2a

Savings = income - expenses

Savings = y - 2a

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2 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Bond [772]

Answer: (B) 7 left and 8 up

<u>Step-by-step explanation:</u>

$f(x)=\dfrac{1}{x-2}+1\qquad \rightarrow\quad \text{Asymptotes: x = 2, y = 1}\\\\g(x) = \dfrac{1}{x+5}+9\qquad \rightarrow\quad \text{Asymptotes: x = -5, y = 9}\\\\\text{The vertical asymptote shifted to the left 7 units.}\\\text{The horizontal asymptote shifted up 8 units.}\\$

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2 years ago

The diagram shows a regular octagon joined to an equilateral triangle work out the value of X

fgiga [73]

Answer:

$x=165^o$

Step-by-step explanation:

we know that

The measure of the interior angle in an equilateral triangle is equal to 60 degrees

The measure of the interior angle in a regular octagon is equal to

$\frac{(n-2)180}{n}$

where

n is the number of sides

In this problem we have

$n=8\ sides$

substitute

$\frac{(8-2)180}{8}$

$\frac{(6)180}{8}=135^o$

we have that, based in the diagram

The sum of the interior angle of the equilateral triangle plus the interior angle of a regular octagon plus the value of x must be equal to 360 degrees (complete circle)

$x+60^o+135^o=360^o$

solve for x

$x+195^o=360^o$

$x=360^o-195^o$

$x=165^o$

5 0

3 years ago

Please show me how you got the answer. Will give brainliest.

umka21 [38]

Answer: 410 possible points

To solve for the possible points in the course, use a proportion and cross multiply.

<h2>What is a proportion?</h2>

A proportion is two fractions that are equal to each other. For the fractions to be equal, they are proportionate. In our math problem, percentage is proportionate the the number of points.

The fractions represent information you have, and one variable will represent what you are solving for.

<h2 /><h3>Given</h3>

Your points = 361

Points to get an 'A' = your points + 8

'A' = 90% of possible points

<h3>Find the points needed for an 'A' at 90%</h3>

Points to get an 'A' = your points + 8

= 361 + 8

= 369

<h3>State variables</h3>

let <em>x</em> be the amount of possible points

<h3 /><h3>Write a proportion</h3>

We know the number of points for 90% is 369 points. Remember that 90% is the same as 90/100.

Keep the information with the same units inside the same fraction. Here, percentage is represented by the first fraction. Points is represented by the second fraction.

$\displaystyle{\frac{90}{100}=\frac{369}{x}}$