Answer:
see explanation
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of variation
(a)
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
When M = 540, then
540 = 2.5r³ ( divide both sides by 2.5 )_
216 = r³ ( take the cube root of both sides )
r =
= 6
Answer:

Step-by-step explanation:

Sorry it took so long
Answer:
184
Step-by-step explanation:
2*(6*5+6*14+5*14)=184
Answer:
3x+3y and distributive property
Step-by-step explanation:
It is given that
Gretchen buys three bags of apples = 3X
Hayley buys three bunches of bananas = 3Y
As it is also mentioned that it first it is multiplied and then it is added
So, the expression for determining the total number of fruit pieces is
3X + 3Y
And, this expression denotes the distributive property in which we multiplied the each variable and then added it