All categories

3 years ago

Two years ago a father was four times as old as his son. Three years from now the father will be only three times as old

Mathematics

1 answer:

vampirchik [111]3 years ago

6 0

Answer:

c. 3x + 15

The son is currently 12 years old.

The father is currently 42 years old.

Step-by-step explanation:

x = the son's age 2 years ago

x + 2 = the son's age in the present

x + 5 = the son's age 3 years from now

f = the father's age 2 years ago = 4x

f + 2 = the father's age in the present = 4x + 2

f + 5 = the father's age 3 years from now = 3(x + 5) = 4x + 5

*3(x + 5) when distributed is equivalent to 3x + 15

4x + 5 = 3x + 15

x + 5 = 15

x = 10

This means that:

Present age of the son: (10) + 2 = 12 years old

Present age of the father: 4(10) + 2 = 42 years old

~Hope this Helps!~

You might be interested in

Elise has a budget of thirty dollars to spend on back-to-school clothes. she finds some shirts she likes that cost fifteen dolla

Alexandra [31]

X is equal to 2 because thirty divide fifteen is two

5 0

3 years ago

Marge cut 16 pieces of tape for mounting pictures on posterboard each piece of tape is 3/8 inches long how much tape did Marge u

daser333 [38]

Answer:

6 inches of tape

Step-by-step explanation:

To find the total amount of tape that Marge used, you can take the measure of each piece ( $\frac{3}{8}$ ) and multiply by the total number of pieces cut (16):

$\frac{3}{8}*\frac{16}{1}=\frac{48}{8}=6inches$

So, Marge used 6 inches of tape altogether.

7 0

3 years ago

Please help me lol!!!!!

OlgaM077 [116]

Answer:

It increases

Step-by-step explanation:

PLZZ mark brainliest!!!

7 0

3 years ago

In a right triangle one leg measures a quarter of the other, how much do its acute angles measure? with procedure please

KATRIN_1 [288]

Answer:

The answer to your question is 14° and 76°

Step-by-step explanation:

Data

leg 1 = x

leg 2 = x/4

angle 1 = ?

angle 2 = ?

Process

To solve problem use trigonometric functions. We must use the trigonometric function that relates both legs (tangent).

tangent Ф = Opposite side / Adjacent side

-Substitution

tan Ф = (x/4) / x

-Simplification

tan Ф = x / 4x

tan Ф = 1/4

- Find Ф

Ф = tan⁻¹(1/4) = 14°

- Find the other acute angle

The sum of the internal angles in a triangles equals 180°

Ф + Ф₁ + 90° = 180

-Solve for Ф₁

Ф₁ = 180 - 90 - 14

-Result

Ф₁ = 76°

3 0

3 years ago

Can someone please help me with these math problems ASAP?!<br> Thanks in advance! ;)

Mamont248 [21]

Answer:

11) Here given Function,

$f(x) = \sqrt{2x-11}$

And, $g(x) = -|0.1|x+5$

For f(x) = g(x)

$\sqrt{2x-11}=-|0.1|x+5$

$2x-11=(-|0.1|x+5)^2$

$2x-11=0.01x^2 - 10|0.1|x+25$

$2x=0.01x^2 - 10|0.1|x+25+11$

$2x=0.01x^2 - 10|0.1|x+36$

$0.01x^2 - 10|0.1|x - 2x+36=0$

When we solve this equation,

We found,

x = 12.5227 ≈ 12.53

Thus, the required solution is, x = 12.53

12) Here the height of rocket A in x second,

$f(x) = -16x^2+74x+9$

And, The height gain by the rocket B in x seconds,

$g(x) = -16x^2+82x$

If at x seconds both A and B gain the same height,

That is, f(x) = g(x)

⇒ $-16x^2+74x+9= -16x^2+82x$

⇒ $74x + 9 = 82x$

⇒ $82x - 74x = 9$

⇒ $8x = 9$

⇒ x = 1.125 ≈ 1.13

Thus, the required solution is x = 1.13 seconds (approx)

4 0

3 years ago