42.564in expanded form

Please answer this question

max2010maxim [7]

As it is given :

Present age of mom : Present age of son = 6 : 1

Therefore let :

Mother's age be 6x

Son's age be x

Ages after 10 year :

Mom's age = 6x + 10

Son's age = x + 10

<h3>Part three :</h3>

The ages after 10 years are given in rational of 8 : 3.

Which means :

Mom's age after 10 years : Son's age after 10 years = 8 :3.

Now :

$\scriptsize \purple{ \boxed{ \scriptsize \dfrac{ \text{Mom's age after 10 years}}{ \text{son's age after 10 years}}= \dfrac{8}{3} }} \star$

$\\ \\$

So :

$\small\sf \dashrightarrow \dfrac{6x + 10}{x + 10} = \sf \dfrac{8}{3}$

$\\ \\$

$\small\sf \dashrightarrow \dfrac{3(6x + 10)}{x + 10} = \sf \dfrac{8}{1}$

$\\ \\$

$\small \sf \dashrightarrow \dfrac{18x +30}{x + 10} = \sf \dfrac{8}{1}$

$\\ \\$

$\small\sf \dashrightarrow \dfrac{18x +30}{1} = \sf \dfrac{8(x + 10)}{1}$

$\\ \\$

$\small \sf \dashrightarrow 18x +30= \sf 8(x + 10)$

$\\ \\$

$\small\sf \dashrightarrow 18x +30= \sf 8x + 80$

$\\ \\$

$\small\sf \dashrightarrow 18x - 8x +30= \sf 80$

$\\ \\$

$\small \sf \dashrightarrow 10x +30= \sf 80$

$\\ \\$

$\small \sf \dashrightarrow 10x = \sf 80 - 30$

$\\ \\$

$\small \sf \dashrightarrow 10x = \sf 50$

$\\ \\$

$\small \sf \dashrightarrow \dfrac{10x}{10} = \sf \dfrac{50}{10}$

$\\ \\$

$\small \sf \dashrightarrow \dfrac{1\cancel0x}{1\cancel0} = \sf \dfrac{5\cancel0}{1\cancel0}$

$\\ \\$

$\small\bf \dashrightarrow x = \pink 5$

$\\$

We know :

$\footnotesize \hookrightarrow \sf Son's \: age = x$

$\footnotesize \hookrightarrow \sf Son's \: age = \red{5 \: years}$

$\\ \\$

$\footnotesize \hookrightarrow \sf Mother's \: age = 6x$

$\footnotesize\hookrightarrow \sf Mother's \: age = 6 \times 5$

$\footnotesize \hookrightarrow \sf Mother's \: age = \bf \red{30 \: years}$

And all we are done ! ㋛

4 0

2 years ago

PLEASE HELP I WILL MARK BRAINLIST

Radda [10]

The answer is : multiply 5

7 0

2 years ago

Read 2 more answers

Find the perimeter. Simplify your answer.

MrRa [10]

30s-18 is the answer jus add all the sides together/ add the like terms then solve it

4 0

2 years ago

Tara has a large box of dog treats that weighs 6.0 pounds. She uses the large box of dog treats to make smaller bags, each conta

pogonyaev

Answer:

10 bags

Step-by-step explanation:

Calculation for How many smaller bags of dog treats can Tara make

First step is to multiply 6.0 pounds and 0.6 pound by 10 in order to make them a whole number

6.0*10=60

0.6*10=6

Now let calculate How many smaller bags of dog treats can Tara make

Smaller bags of dog treats =60/6

Smaller bags of dog treats=10

Therefore the numbers of smaller bags of dog treats that Tara can make is 10 bags

8 0

3 years ago

A ladder leaning against a wall makes a 60° angle with the ground. The base of the ladder is 3 m from the building. How high abo

Marysya12 [62]

Answer:

The distance is 5.20m

Step-by-step explanation:

Here, we want to get the height of the ladder

To get this, we need to understand that we have a right triangle, with the base of the triangle as 3 m, the angle at the downward part is 60, and we want to get the height of the triangle

The angle here faces the height we want to calculate

This height is known as the opposite

What we have is the adjacent

Now, the trigonometric identity that relates the opposite and the adjacent is the tan

The tangent of an angle is the ratio of the opposite to the adjacent

Mathematically;

tan 60 = h/3

h = 3 tan 60

h = 5.20 m

The ladder is at a height of 5.20 m above the ground

7 0

2 years ago