Good morning/afternoon! Can you help please? I have a bag of marbles, where each marble is pink or yellow. The ratio of pink marbles to yellow marbles is 3:5 If there are total of 72 marbles in the bag, how many are pink?

i think its 27.

Step-by-step explanation:

Let the number of pink marbles  =  p

Let the number of yellow marbles  =  y

The ratio of pink marbles to yellow marbles is 3:5 . This means...

the number of pink marbles / the number of yellow marbles  =  3 / 5

p / y  =  3 / 5

There are a total of 72 marbles in the bag. So...

the number of pink marbles  +  the number of yellow marbles  =  72

p + y  =  72

y  =  72 - p

Now we can use this value of  y  in the first equation and solve for  p .

p / (72 - p)  =  3 / 5

Multiply both sides of the equation by  5 .

5p / (72 - p)  =  3

Multiply both sides by  (72 - p)

5p  =  3(72 - p)

5p  =  216 - 3p

Add  3p  to both sides.

8p  =  216

Divide both sides by  8 .

p  =  27

the number of pink marbles  =  27

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

the answer would be d

straight away you can eliminate a and c because not all books contain a scientific skill because some may be fiction. c is also wrong because it saids that the only way children can learn is through books which is incorrect.

b is also wrong because reading can be a scientific skill but not always, therefore it is wrong which leaves you with d, the correct answer since it said that it can children learn.

hope this ! : 3