3 x q x 7 x q= ___. Can someone help?
2 answers:
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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:
The cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.
Step-by-step explanation:
Let each pound of trail mix cost dollars and each pound of jelly beans cost
dollars.
Given:
7 pounds of trail mix and 9 pounds of jelly beans cost $ 37.
So, --------------- 1
Also, 5 pounds of trail mix and 3 pounds of jelly beans cost $ 17.
So, --------------- 2
Multiplying equation 2 by -3, we get
Now, adding equations 1 and 3, we get
Now, plug in in equation 1 and solve for
.
Therefore, the cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.