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SCORPION-xisa [38]

3 years ago

5

Eli packed 1,920 peanuts into 8 sacks. He packed an equal number of peanuts in each sack. How many peanuts did he pack into each

sack? A) 210 B) 220 C) 230 D) 240

2 answers:

svlad2 [7]3 years ago

8 0

D because one thousand nine hundred twenty divided by 8 equals two hundred and forty

lutik1710 [3]3 years ago

6 0

1920 divided by 8 = 240

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A regular hexagon inscribed in a circle is approximately 0.827 times the area of that same circle. What percentage of the circle

tatyana61 [14]

a. The percentage of the circle occupied by the hexagon is 82.7%

b. The percentage of the circle not occupied by the hexagon is 17.3%

Step-by-step explanation:

a regular hexagon inscribed in a circle is approximately 0.827 times the

area of that same circle

1. Assume that area the circle is x

2. Find the ratio of area hexagon to area circle

3. Change The ratio to percentage

4. Subtract area hexagon from area circle to find the area not occupied

by the hexagon and do the same steps 2 and 3 with the area not

occupied and the circle

∵ The regular hexagon inscribed in a circle

∴ Area the circle > area of the hexagon

∵ Area the circle is x

∵ Area the hexagon is 0.827 times the area of the circle

∴ Area hexagon = 0.827(x)

∵ The ratio between area hexagon and area circle = $\frac{0.827x}{x}$

- Cancel x up with x down

∴ The ratio between area hexagon and area circle = 0.872

- Change the ratio to percentage by multiply it by 100%

∴ The percentage of area hexagon to area circle = 0.827 × 100%

∴ The percentage of area hexagon to area circle = 82.7%

a. The percentage of the circle occupied by the hexagon is 82.7%

∵ Area the circle is x

∵ Area the hexagon is 0.827 x

∴ The area not occupied by the hexagon = x - 0.827 x

∴ The area not occupied by the hexagon = 0.173 x

The ratio between area not occupied by the hexagon and area circle

= $\frac{0.173x}{x}$

- Cancel x up with x down

∴ The ratio between area not occupied by the hexagon and area

circle = 0.173

- Change the ratio to percentage by multiply it by 100%

∴ The percentage of area not occupied by the hexagon to area

circle = 0.173 × 100%

∴ The percentage of area not occupied by the hexagon to area

circle = 17.3%

b. The percentage of the circle not occupied by the hexagon is 17.3%

Learn more:

You can learn more about percentage in brainly.com/question/12284722

#LearnwithBrainly

6 0

3 years ago

The population of a small town, P, as a function of time, t, in years past 1940 is given below.

romanna [79]

Answer: 1976

Steps:

Let t* be the year in which the population reached a count of 8920. Solve for t*:

$P=200t+1720\\8920=200t^*+1720\\7200=200t^*\\t^* = 36$

The population grew to the number 8920 in 36 years past 1940, i.e., 1976

3 0

3 years ago

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The interquartile range gives the range of the middle_____% of the data

leonid [27]

Answer:

50 %

Step-by-step explanation:

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3 years ago

Prove that if m + n and n + p are even integers, where m, n, and p are integers, then m + p is even. what kind of proof did you

scoray [572]

Prove that if m + n and n + p are even integers, where m, n, and p are integers, then m + p is even.
m=2k-n, p=2l-n

Let m+n and n+p be even integers, thus m+n=2k and n+p=2l by definition of even
m+p= 2k-n + 2l-n substitution
= 2k+2l-2n
=2 (k+l-n)
=2x, where x=k+l-n ∈Z (integers)
Hence, m+p is even by direct proof.

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3 years ago

There are two urns, each of them containing two blue balls and two red balls. We randomly draw two balls from the first urn and

mafiozo [28]

Answer: 50/50

Step-by-step explanation:

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3 years ago