Answer:
4 minutes
Step-by-step explanation:
Let the time taken for them to have the same number of strawberries be x minutes.
<u>Initially</u>
Ruby: 10 strawberries
Sapphire: 30 strawberries
<u>After x minutes</u>
Ruby: (10 +3x) strawberries
Sapphire: (30 -2x) strawberries
Since we let x minutes be the amount of time that has passed when they have the same amount of strawberries,
10 +3x= 30 -2x
Bring all x terms to one side, constant to the other:
3x +2x= 30 -10
Simplify:
5x= 20
Divide both sides by 5:
x= 20 ÷5
x= 4
∴ It will take 4 minutes.
Answer:
I think this is a pretty good question of law of indices
Step-by-step explanation:
Given that

a) express n in terms of p and q ,
b) hence if p = 1 and q = 2 find the value of n
Solution to part a)

Simplify the equation and how do we do that? As we can see that 9 can also be written as 3^2 and 27 can be written as 3^3 we can rewrite the following equation like this,

now we multiply p with 2 and
multiply q with 3 respectively,

now since the bases are same and are multiplying the exponents will add themselves like this, in this equation the number 3 is the base

now since the bases on the left hand side and on the right hand side are equal the exponents will also be equal so now,

hence n is expressed in terms of p and q
Solution to part b)
if p = 1 and q = 2 we plug in these values in the above equation we found for n
n = 2p + 3q
n = 2(1) + 3(2)
n = 2 + 6
n = 7
Answer:
30km/h.
Step-by-step explanation:
100m/12s = 0.1km/12s
There are 3600 seconds in an hour.
0.1km/12s = 30km/h.
Answer:
The number is 3.
Step-by-step explanation:
5x3=15+12=27
9x3=27
Hope this helps
Answer:
3x^2-x-6
Step-by-step explanation:
f(x) = 3x^2 - 4
g(x) = x+2
(f - g)(x)= 3x^2 - 4-( x+2)
Distribute the minus sign
(f - g)(x)= 3x^2 - 4- x-2
Combine like terms
= 3x^2-x-6