Here, each of the 5 friends has an x action figure. When they buy 11 more we have 5(x+11). Now they have a total of 120 action collections and here we have 5(x+11)=120

→ $5(x+11)=120\\\\$

→ $5x+55=120\\$

→ $5x=120-55$

→ $5x=65$

→ $x=65/5\\$

→ $x=13$

Hence, each of the friends has 13 action collections originally.

4 0

2 years ago

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Find the average value of the function over the given solid. The average value of a continuous function f(x, y, z) over a solid

ratelena [41]

Compute the volume of $Q$ :

$\displaystyle\iiint_Q\mathrm dV=\int_0^2\int_0^{2-x}\int_0^{2-x-y}\mathrm dz\,\mathrm dy\,\mathrm dx=\frac43$

Integrate $f(x,y,z)=x+y+z$ over $Q$ :

$\displaystyle\iiint_Qf(x,y,z)\,\mathrm dV=\int_0^2\int_0^{2-x}\int_0^{2-x-y}(x+y+z)\,\mathrm dz\,\mathrm dy\,\mathrm dx=2$

So the average value of $f$ over $Q$ is 2/(4/3) = 3/2.

4 0

4 years ago

Solve the following 2.87 x 7.8 =

kirill115 [55]

Answer:

22.386

Step-by-step explanation:

5 0

3 years ago