Acylindrical vase has a diameter of 6 inches. at the bottom of the vase, there are 8 marbles, each of diameter 3 inches. the vase is filled with water up to a height of 10 inches.

which of the following could be used to calculate the volume of water in the vase?

π(10in)2(3in) − 1.5(four over threeπ(8in)3)

π(3in)2(10in) − 1.5(four over threeπ(8in)3)

π(10in)2(3in) − 8(four over threeπ(1.5in)3)

π(3in)2(10in) − 8(four over threeπ(1.5in)3)

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol