Answer: None of these
Step-by-step explanation:
12-4=8
8 feet
3.68, 4.24, 3.93, 17.0, 87.5
Answer:
The number of people who voted is 30 people.
Step-by-step explanation:
Given:
Kim was elected class president. She received 3 votes for every 2 that Amy got.
No one else ran.
However, if 8 of the people who voted for Kim had voted for Amy instead, Kim would have received only 1 vote for every 2 that Amy would have gotten
Find:
the number of people voted
Step 1 of 1
The ratio of Kim's votes to Amy's votes is 3:2, so Kim received 3x votes and Amy received 2x votes for some value of x. If 8 of the people had voted for Amy instead of Kim, then Kim would have 3x-8 votes and Amy would have 2x+8 votes. If this had happened, then Amy would have twice as many votes as Kim, so 2x+8=2(3 x-8).
Expanding the right-hand side gives 2x+8=6x-16.
Subtracting $2 x$ from both sides and adding 16 to both sides gives 24=4x, so x=6.
Since 3x+2x=5x people voted, the number of voters is
.
The volume of a cylinder is given by the formula <em>V</em>=π<em>r</em>²<em>h</em>². In this instance, <em>r</em> is 4 and the height is 47-12 (the height of the cone at the bottom is 12 mm and the sand goes up to 47 mm on the top portion of the hourglass, including both the cone and cylinder) or 35 mm.
<em>V</em>=π(4²)(35)=560π mm³.
The volume of a cone is given by the formula <em>V</em>=1/3π<em>r</em>²<em>h</em>². In this instance, <em>r</em> is 4 and the height is 12 mm.
<em>V</em>=1/3π(4²)(12)=π(1/3)(12)(4²)=π(4)(4²)=64π mm³.
This gives a total volume of 560π+64π=624π mm³ of sand.
Since the sand goes down to the bottom at a rate of 10π mm³/second, it will take 624π/10π=62.4 seconds for the sand to all drain out.
7(5 + t) - 4(t + 4) =
= 35 + 7t - 4t - 16 =
= 7t - 4t + 35 - 16 = <u>3t + 19</u>