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3 years ago

The tree diagram below represents the following scenario:

Mathematics

1 answer:

zaharov [31]3 years ago

5 0

Nooooo way mannnnn whatttttttttttttt

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: Sam is 12 years older than John. For the last four years, Sam and John have been friends. Five years ago, Sam was 5 times as o

Firlakuza [10]

Answer:

The present age of Sam is 20 years .

Step-by-step explanation:

Given as :

Let The age of John = J years

Let The age of Sam = S years

∵ Sam is 12 years older than John

so, The age of Sam = 12 + The age of John

i.e S = 12 + J .....1

<u>Again</u>

Before 5 years ago

The age of Sam = 5 times age of John

So, (S - 5) = 5 × (J - 5)

Or, S - 5 = 5 J - 25

Or, 5 J - S = 25 - 5

Or, 5 J - S = 20 .........2

Solving eq 1 and eq 2

[5 J - (12 + J)] = 20

Or, 5 J - 12 - J = 20

Or, 4 J = 20 + 12

Or, 4 J = 32

∴ J = $\frac{32}{4}$

i.e J = 8 years

So, The age of John = J = 8 years

Put The value of J into eq 1

∵ S = 12 + J

So, S = 12 + 8

i.e S = 20 years

So, The present age of Sam = S = 20 years .

Hence, The present age of Sam is 20 years . Answer

7 0

3 years ago

Read 2 more answers

What is the ratio for 4, 8, 12, 14 (r)

olasank [31]

answer for this question is 2 is to 4 is to6 is to 7

7 0

2 years ago

What is 5 3/5% of 750?<br><br> Thanks in advance.

GREYUIT [131]

<h3>given:</h3>

$5 \frac{3}{5} \% \: of \: 750$

<h3>solution:</h3>

$5 \frac{3}{5} = 5.6$

$\frac{5.6\%}{100} \times \frac{x}{750}$

$= 42%$

6 0

2 years ago

You’re baking a circular cake for a party. Your cake can be any size you want. What will the radius of your cake be and how many

REY [17]

What will the radius of your cake be?

This is a problem of geometry. Given that the cake is circular, the greater the cake the greater the radius of it. So, as shown in the figure 1, the radius will be the distance from the center to any extreme point of the circle.

How many slices will you be able to cut?

The total area of a circle is given by:

$A= \pi r^{2}$

We need to fin how many slices will be cut, so let's calculate the area of the circular sector which can be obtained simply applying rule of three, so:

$A_{cs}= \pi r^{2}( \frac{\theta}{2\pi})= \frac{r^{2}\theta}{2}$

Let's name n the number of slices, if we divide the total area by n this result, each area must equal, then:

$\frac{\pi r^{2}}{n}=\frac{r^{2}\theta}{n}$

Finally, we will be able to cut:

$n= \frac{2\pi}{\theta}$ Slices

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3 years ago

Which mapping shows a function

Alja [10]

The second one because there is all the inputs are different. There is one input for every output.

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3 years ago