3 years ago

Write and solve an algebraic equation to find x triangle (2x) (5x+12) (3X-32)

Mathematics

1 answer:

denis23 [38]3 years ago

3 0

Answer:

30x squared 2 minus 248x squared 2 minus 768x

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Solve the equation, keeping the value for x as an improper fraction.

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Volume left = 404.32 cubic inches

Step-by-step explanation:

volume of a cylinder = $\pi$ $r^{2}$ h

volume of ice cream in the cylindrical tub = $\frac{22}{7}$ x $5^{2}$ x 9

= $\frac{22}{7}$ x 25 x 9

= 707.1429

Volume of ice cream in the cylindrical tub is 707.14 cubic inches.

The ice cream scoop has a spherical volume, so that;

volume of a sphere = $\frac{4}{3}$ $\pi$ $r^{3}$

r = $\frac{2.5}{2}$

= $\frac{5}{4}$ inches

volume of the scoop = $\frac{4}{3}$ x $\frac{22}{7}$ x $(\frac{5}{4} )^{3}$

= $\frac{4}{3}$ x $\frac{22}{7}$ x $\frac{125}{64}$

= 8.1845

volume of the scoop is 8.19 cubic inches.

If he scoops 37 scoops,

volume of the 37 scoops = 37 x 8.1845

= 302.8265

volume of 37 scoops is 302.83 cubic inches.

Volume of ice cream left in the tub = 707.1429 - 302.8265

= 404.3164

Volume of ice cream left in the tub is 404.32 cubic inches.

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