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Fed [463]
3 years ago
6

A spherical chocolate candy is being manufactured that has nougat center. The entire candy has a diameter of 9cm and the nougat

center has a diameter of 4cm. What is the volume of the chocolate portion of the candy
Mathematics
1 answer:
zhuklara [117]3 years ago
7 0
That would be the volume of the total shape minus the volume of the center.

V=(4πR^3)/3-(4πr^3)/3

V=(4π/3)(R^3-r^3), since R=9/2=4.5 and r=4/2=2 we have:

V=(4π/3)(4.5^3-2^3)

V=(4π/3)(91.125-8)

V=(4π/3)(83.125)

V=332.5π/3 cm^3

V≈348.19 cm^3 (to nearest hundredth of a ml or cubic centimeter)
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Zigmanuir [339]

Answer:

The number of people on the bus after the second stop is 8 less than the number of peoples on the bus before the 2:30 stop.

Step-by-step explanation:

Let P_0 be the total number of peoples on the bus before 2:30 stop.

For the first stop at 2:30:

The bus let off 13 people, so, the total number of remaining people on the bus = P_0-13

again, the bus let on 8 people,  so, the total number of people on the bus

= P_0-13+8

=P_0-5

For the second stop after 10 minutes (i.e at 2:40):

The bus let off 3 people, so, the total number of remaining people on the bus = P_0-5-3

=P_0-8

After the second stop, the number of people on the bus is P_0-8, where P_0 number of peoples on the bus before 2:30 stop.

Hence, the number of people on the bus after the second stop is 8 less than the number of peoples on the bus before the 2:30 stop.

4 0
3 years ago
Which of the following graphs best represents the solution to the pair of equations below? y = −x + 6 y = 2x − 3 A coordinate pl
Lera25 [3.4K]
The lines are 

i)  y=-x+6
ii) y=2x-3

The solution of the system of equations is found by equalizing the 2 equations:

-x+6=2x-3

-2x-x=-6-3

-3x=-9

x=-9/(-3)=3

substitute x=3 in either i) or ii):

i)  y=-3+6=3
ii) y=2(3)-3=6-3=3

(the result is the same, so checking one is enough)

This means that the point (3, 3) is a point which is in both lines, so a solution to the system.

In graphs, this means that the lines intersect at (3, 3) ONLY


Answer: The graph where the lines intersect at (3, 3)
3 0
4 years ago
giselle pays $190 in advance on her account at the athletic club. each time she uses the club, $10 is deducted from the account.
Art [367]

For this case, the first thing we must do is define variables.

We have then:

x: number of times Giselle uses the athletic club

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We write a linear equation of the form:

b = mx + c

Where,

m: slope of the line that represents the cost for each time she uses the athletic club

c: initial amount that Giselle paid

Substituting values we have:

b = -10x + 190

Answer:

a linear function that model the situation is:

d. b = 190 - 10x

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Answer:

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Step-by-step explanation:

Eira's graph probably resembled the diagram below.

The domain is the set of all possible x-values that will make a function work.

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The domain is [3, 7] or 3 ≤ x ≤ 7.

4 0
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