Answer:
3?
Step-by-step explanation:
<span>Y is directly proportional to x^2. It could be represented by the expression:
y </span>α x^2
We can make it into an equality by inserting the proportionality constant, k.
y = kx^2
k would be constant for any value of y with a corresponding value of x. We solve the problem by this concept as follows:
y1/(x1)^2 = y2/(x2)^2
10/(x1)^2 = y2/(x1/2)^2
10/4 = y2
Therefore, when the value of x is halved, y is equal to 10/4.
These girls really need to get their cookie situation organized!
Alright, so... first let's get this problem into a simpler form.
They made 3/5 of the total, then 2 dozen which = 24 and they still have to make 1/3 more.
So to make 3/5 and 1/3 more compatible, find the LCM of the Denominator. This = 15. 5*3=15 so take 3 (from 3/5) and multiply by 3, which is 9.
This turns 3/5 to 9/15
Then do the same to the other fraction. The Denominator (3) x 5 = 15, so take the Numerator (1)x5= 5.
This turns 1/3 to 5/15
Now that this is a little more clear, let's look at the problem with our equal and substituted values.
They made 9/15 of the total, then 2 dozen which = 24 and they still have to make 5/15 more.
So from this, we can see that after they made 24 (2 Dozen) that they need 5/15 more. 15/15 would mean they're done, so that minus 5/15 = 10/15.
The difference from 9/15 & 10/15 is 1/15. This is how much was added when they made 24 more. So now we know that 1/15=24.
With this information, we can finally solve the problem.
They plan to bake 15/15 of the cookies. This is just a term that is equal to 1 whole. The "whole" is the whole amount of cookies being baked. Since 1/15=24, we can figure out 15/15 by taking 15x24.
15 x 24 = 360. So they made 360 cookies. Sounds delicious.
I hope this helped! And hopefully these imaginary friends sell all 360 cookies!
Answer:
Let me take 2,3,3 be 2x, 3x, 3x
Colin = 2x
Natasha = 3x
Angad = 3x
The equation forms to find out the value of x
2x + 3x + 3x = 48
=> 8x = 48
=> x = 48/8
=> x = 6
So share of Colin = 2x = £(2×6) = £12
Share of Natasha = 3x = £(3×6) = £18
share of Angad = 3x = £(3×6) = £18
For proof
£12 + £18 + £18 = £48
Hope it helps