All categories

3 years ago

The ratio of the ages of father and son is 9:2.If the father is 45 ages old,find the ages of son.

Mathematics

1 answer:

Trava [24]3 years ago

8 0

<h3>Answer: 10 years old</h3>

Work Shown:

s = son's age

(father's age)/(son's age) = 9/2

45/s = 9/2

45*2 = s*9

90 = 9s

9s = 90

s = 90/9

s = 10

The son is 10 years old.

You might be interested in

While hovering near the top of Ribbon Falls in Yosemite National Park at 1600 feet, a

ella [17]

Answer:

a)The sunglasses hit the ground at t=0 seconds

b)The maximum height h(t) = 1600feet

Step-by-step explanation:

Step(i):-

Given that the polynomial function

h(t) = -16 t² + 1600 ...(i)

Differentiating equation (i) with respective to 't' , we get

$\frac{dh}{dt} = -16(2t)+0$

Equating zero

$\frac{dh}{dt} = 0$

⇒ -32t =0

⇒ t =0

The sunglasses hit the ground at t=0 seconds

Step(ii):-

Again differentiating with respective to 't', we get

$\frac{d^{2} h}{dt^{2} } = -32(1) = -32$

The maximum height at t=0

h(t) = -16 t² + 1600

h(t) = 1600feet

4 0

3 years ago

Write the equation of a line perpendicular to 3x + 4y = 9 that passes through (8, - 4)

Arisa [49]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's find the slope of 3x + 4y = 9, by simply putting it in slope-intercept form.

$\bf 3x+4y=9\implies 4y=-3x+9\implies y=-\cfrac{3x+9}{4}\implies y=\stackrel{slope}{-\cfrac{3}{4}}x+\cfrac{9}{4} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{3}{4}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{4}{3}}\qquad \stackrel{negative~reciprocal}{+\cfrac{4}{3}}\implies \cfrac{4}{3}}$

so we're really looking for the equation of a line whose slope is 4/3 and runs through 8, -4.

$\bf (\stackrel{x_1}{8}~,~\stackrel{y_1}{-4})~\hspace{10em} slope = m\implies \cfrac{4}{3} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-4)=\cfrac{4}{3}(x-8) \implies y+4=\cfrac{4}{3}x-\cfrac{32}{3} \\\\\\ y=\cfrac{4}{3}x-\cfrac{32}{3}-4\implies y=\cfrac{4}{3}x-\cfrac{44}{3}$

5 0

3 years ago

I NEED HELP!!

beks73 [17]

Answer:

x=x

Step-by-step explanation:

4x-6+2x=3(2x-2)

4x+2x-6=6x-6

4x+2x=6x

6x=6x

x=x

3 0

3 years ago

Read 2 more answers

Number of Boxes Cost 18 $7.38 27 $15.39 30 $13.50 36 $18.36 40 $18.80 An office is restocking office supplies. The table shows t

malfutka [58]

Answer:

18 clips for $7.38 is the best value deal.

Step-by-step explanation:

An office is restocking office supplies. The table below shows the cost for the number of boxes of paperclips. We need to find what is the best value is.

To find the best value for money we can check the price of each paperclip.

To check the price of each paper clip we can use the following formula:

$\text{Price of each paper clip} =\frac{\text { price of the box }} {{\text {number of clips in the box }}}$