An ice cream cone is filled with vanilla and chocolate ice cream at a ratio of 2:1. If the diameter of the cone is 2 inches and the height is 6 inches, what is the volume of vanilla ice cream in the cone? (round to nearest tenth)

Answers

Answer 1

Answer: volume of cone=(1/3)hpir^2

d/2=r
d=2
d/2=2/2=1=r
h=6

V=(1/3)6pi1^2
V=2pi in^3 is volume

ratio of 2:1

2+1=3
2pi=3 units
divide both sides by 3
2/3pi=1 unit

vanila=2 units
times 2/3pi by 2
4/3pi
aprox pi=3.141592
4.188
round
4.2 in^3 of vanilla

Answer 2

Answer: An ice cream cone is filled with vanilla and chocolate ice cream at a ratio of 2:1. If the diameter of the cone is 2 inches and the height is 6 inches, what is the volume of vanilla ice cream in the cone? (round to nearest tenth)
----
Total volume = pi*r^2*h = pi*1^2*6 = 6pi in^2
---------------------
Equation:
2x + x = 6pi

3x = 6pi
x = 2pi (chocolate volume)
2x = 4pi (vanilla volume)

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herky is putting money into a savings account on a weekly basis to buy a dvd player that costs $179.40 including tax. he asks mario how much he should save per week to buy the player in 8 weeks if he already has $35.00 saved. mario gives him the answer and explains how he found the answer. what does mario say?

Answers

35 + 8w = 179.40
8w = 179.40 - 35
8w = 144.40
w = 144.40/8
w = 18.05 per week

Answer:a

Step-by-step explanation:

Solve the inequality.–4s < –8

s < –4
s < 2
s > –4
s > 2

Answers

I think it's s>2

Divide -4 and -8 by -4, this flips the sign, and leaves s and 2 behind

Answer:

s > 2

Step-by-step explanation:

What does 5^(3*5^(-4)) equal plus steps

Answers

If you simplify the expression, you get 5 3/625.
In decimal form, your answer would be 1.00775521...

5^3(5^−4)

=5^3(1/625)
=5^3/625
=1.007755

Still confusing to me!!!!

Answers

Answer:

(a) 2(x -a)

(b) 4x +2h

Step-by-step explanation:

Fill in the function arguments and simplify.

$(f(x)-f(a))/(x-a)=((2x^2-7)-(2a^2-7))/(x-a)\n\n=(2x^2-7-2a^2+7)/(x-a)=(2(x^2-a^2))/(x-a)\n\n=(2(x-a)(x+a))/((x-a))=2(x+a)$

$(f(x+h)-f(x))/(h)=((2(x+h)^2-7)-(2x^2-7))/(h)\n\n=(2x^2+4xh+2h^2-7-2x^2+7)/(h)=(4xh+2h^2)/(h)\n\n=4x+2h$

How many fourths are equivalent to 2/8