The formula for the volume of a cone is
v = ( 1 / 3) h pi r^2
where h is the height of the cone
pi is 3.1416
r is the radius of the cone
since diameter is given
D = 2r
r = D/2 = 4/2 = 2 in
substitute the given
V = (1/3) (6) (3.1416) (2^2)
V = 25.1 cubic in
Answer:
x=−2
Step-by-step explanation: Step 1: Simplify both sides of the equation.
3(x−5)−3=5(x−2)+2x
(3)(x)+(3)(−5)+−3=(5)(x)+(5)(−2)+2x(Distribute)
3x+−15+−3=5x+−10+2x
(3x)+(−15+−3)=(5x+2x)+(−10)(Combine Like Terms)
3x+−18=7x+−10
3x−18=7x−10
Step 2: Subtract 7x from both sides.
3x−18−7x=7x−10−7x
−4x−18=−10
Step 3: Add 18 to both sides.
−4x−18+18=−10+18
−4x=8
Step 4: Divide both sides by -4.
−4x
−4
=
8
−4
x=−2
1. -2(3x+4)
because -2 times 3= -6 and 4+4=8
Answer:
48 minutes.
Step-by-step explanation:
Number of dishes rinsed by Juan in <em>1</em><em> </em><em>m</em><em>i</em><em>n</em><em>u</em><em>t</em><em>e</em><em> </em>
= 480/80
= 6
Number of dishes rinsed by Kevin in <em>1</em><em> </em><em>m</em><em>i</em><em>n</em><em>u</em><em>t</em><em>e</em>
= 480/120
= 4
Number of dishes rinsed by Juan and Kevin in <em>1</em><em> </em><em>m</em><em>i</em><em>n</em><em>u</em><em>t</em><em>e</em>
= 6 + 4
= 10
Hence, time taken by Juan and Kevin to rinse the dishes
= 480/10
= <u>4</u><u>8</u><u> </u><u>m</u><u>i</u><u>n</u><u>u</u><u>t</u><u>e</u><u>s</u>.
Hence It will take <u>4</u><u>8</u><u> </u><u>m</u><u>i</u><u>n</u><u>u</u><u>t</u><u>e</u><u>s</u> for them to rinse the dishes.
450 is the total amount of money and it is divided by 75 to get the total number of books possible under that amount per book. The reason four is added is that it is stated that four of the books necessary are to be taken from a library for free. Therefore, when solved, b is equal to 10
