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earnstyle [38]
4 years ago
14

You buy a cylindrical container of salt with a diameter of 3.25 inches and a height of 5 inches. Your salt shaker is a cylinder

with a diameter of 1 inch and a height of 1.5 inches. How many times can you fill your salt shaker with the container! Round your answer to the nearest whole number.
Mathematics
1 answer:
Sphinxa [80]4 years ago
3 0
First calculate volume of the cylindrical container: Pi * R2 * H; where Pi is 22/7 or 3.147, R is the radius and H is the height of the container.

Vol of the cylindrical container: 3.147 * (3.25/2) * (3.25/2)* 5 = 41.55 inch 3

Volume of the shaker using the above principle:
3.147 * (1/2) * (1/2) * 1.5 = 1.18 inch 3

Number of times it can fill the salt shaker will be the ratio of the volumes:

= Volume of the cylindrical container divided by the volume of the shaker = 41.55 divided by 1.18

Answer is 35 times if rounded in absolute number.
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In a survey of a community, it was found that 85% of the people like winter season and 65% like summer season. If none of them d
KengaRu [80]

Answer:

50%

Step-by-step explanation:

Let :

Winter = W

Summer = S

P(W) = 0.85

P(S) = 0.65

Recall:

P(W u S) = p(W) + p(S) - p(W n S)

Since, none of them did not like both seasons, P(W u S) = 1

Hence,

1 = 0.85 + 0.65 - p(both)

p(both) = 0.85 + 0.65 - 1

p(both) = 1.50 - 1

p(both) = 0.5

Hence percentage who like both = 0.5 * 100% = 50%

6 0
3 years ago
Find the equation of the line that
erica [24]

go on

Step-by-step explanation:

7 0
2 years ago
Which ordered pair is a solution of the equation
Mrrafil [7]

Answer:

A

Step-by-step explanation:

y - 3 = 5(x - 2)

y - 3 = 5x - 10    Add 3 to both sides

y = 5x - 7

Let x = 2

y = 5*2 - 7

y = 3

So (2,3) works

Let x = 3

y = 5*3 - 7

y = 15 -7

y = 8

The answer is A

7 0
3 years ago
Write an equation of the line that passes through the given points.<br> (-2,5) and (1,2)
Anon25 [30]

\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-2)}}}\implies \cfrac{-3}{1+2}\implies \cfrac{-3}{3}\implies -1

\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-1}[x-\stackrel{x_1}{(-2)}] \\\\\\ y-5=-(x+2)\implies y-5=-x-2\implies y=-x+3

7 0
3 years ago
The difference of complimentary angles is 10 degree. find the measure of the angles.
Ivahew [28]

Answer:

The angles are 50 , 40

Step-by-step explanation:

Let 'x' be an angle.

So, its complementary angle = 90 - x

Difference of complimentary = 10

x - (90 - x) = 10

x - 90 + x = 10

x + x - 90 = 10

2x -  90 = 10

       2x = 10 +90

       2x = 100

         x = 100/2

        x = 50

So, the angles are 50 , 40

4 0
3 years ago
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