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FrozenT [24]
2 years ago
6

A father's age is thrice the sum of the ages of his two children. After five years, his age will be

Mathematics
1 answer:
jenyasd209 [6]2 years ago
4 0

Answer: 45 years old

Step-by-step explanation:

<u>Given:</u>

- Father's age is thrice the sum of ages of his two children

- After five years, his age will be twice the sum of their ages

Let x be the two children's current age and 3x be the father's current age

<u>Solve:</u>

Set equation

3x + 5 = 2 ( x + 10 )

Expand parenthesis

3x + 5 = 2x + 20

Subtract 5 on both sides

3x + 5 - 5 = 2x + 20 - 5

3x = 2x + 15

Subtract 2x on both sides

3x - 2x = 15

x = 15

15 × 3 = 45 years old

Hope this helps!! :)

Please let me know if you have any questions

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ABC is an equilateral triangle .Three distinct points are marked on each sides of the triangle. (not on the vertices). (i) How m
iVinArrow [24]

The number of lines and triangles illustrates combination

  • 36 lines can be drawn to join the nine points
  • 84 triangles can be drawn using the nine points

<h3>The number of lines that can be drawn</h3>

The given parameters are:

Total points, n = 9

Total points on each line, r = 2

The number of lines that can be drawn is then calculated  using the following combination formula

Lines = nCr

This gives

Lines = 9C2

Evaluate the combination expression

Lines = 36

Hence, 36 lines can be drawn to join the nine points

<h3>The number of triangles that can be drawn</h3>

The given parameters are:

Total points, n = 9

Total points on each triangle, r = 3

The number of triangles that can be drawn is then calculated  using the following combination formula

Triangles = nCr

This gives

Triangles = 9C3

Evaluate the combination expression

Triangles = 84

Hence, 84 triangles can be drawn using the nine points

Read more about combination at:

brainly.com/question/11732255

4 0
2 years ago
Please help with 11c!?
Contact [7]

Answer:

"To the nearest year, it would be about 9 years"

Step-by-step explanation:

11c)

This is compound growth problem. It goes by the formula:

F=P(1+r)^t

Where

F is the future amount

P is the present (initial) amount

r is the rate of growth, in decimal

t is the time in years

Given,

P = 20,000

r = 8% = 8/100 = 0.08

F = double of initial amount = 2 * 20,000 = 40,000

We need to find t:

F=P(1+r)^t\\40,000=20,000(1+0.08)^t\\2=(1.08)^t

To solve exponentials, we can take Natural Log (Ln) of both sides:

2=(1.08)^t\\Ln(2)=Ln((1.08)^t)

Using the rule shown below we can simplify and solve:

Ln(a^b)=bLn(a)

We can write:

Ln(2)=Ln((1.08)^t)\\Ln(2)=tLn(1.08)\\t=\frac{Ln(2)}{Ln(1.08)}\\t=9.0064

To the nearest year, that would be about 9 years

5 0
3 years ago
Question 8
Nikolay [14]
The answer is C because 100 doesn’t change but 12 is dependent on the number of people.
5 0
3 years ago
Read 2 more answers
Plllllllllllllzzzzzzzzzzzzzzzzzz<br> AAAAAAAAAAAAAAAAAAAAAAA
netineya [11]

Answer:

24/ 23

Step-by-step explanation:

To find the slope of a line passing through 2 points

m = (y2-y1)/(x2-x1)

    = (11 -  -13) /( 19 - -4)

    = (11+13)/(19+4)

    = 24/ 23

7 0
3 years ago
Which of the following is a trinomial with a constant term.
Sunny_sXe [5.5K]
<h2>The "option d: y^5 + 13x + 12"​ is a trinomial with a constant term.</h2>

Step-by-step explanation:

To check options:

a: x + 4y

Here, the coefficient of x = 1 and the coefficient of y = 4

b: x^3

Here, the coefficient of x^3 = 1

c: x^4 + 3y^2 + 2y

Here, the coefficient of x^4  = 1, the coefficient of y^2 = 4 and the coefficient of y = 2

d: y^5 + 13x + 12​

Here, the coefficient of y^5   = 1, the coefficient of x = 13 and

constant term = 12

Thus, the "option d)  y^5 + 13x + 12"​ is a trinomial with a constant term.

6 0
3 years ago
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