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Soloha48 [4]
3 years ago
6

A student bought a piece of hard candy that is in the shape of a sphere. The candy has a radius of 3 centimeters.

Mathematics
1 answer:
worty [1.4K]3 years ago
3 0

Volume of piece candy is 113.04 cubic centimeter

<em><u>Solution:</u></em>

A student bought a piece of hard candy that is in the shape of a sphere

<em><u>The candy has a radius of 3 centimeters</u></em>

Radius = 3 cm

Use 3.14 for π

<em><u>Volume of sphere is given as:</u></em>

V = \frac{4}{3} \times \pi \times r^3

Where, "r" is the radius of sphere

<em><u>Therefore, volume of candy is given as:</u></em>

V = \frac{4}{3} \times 3.14 \times 3^3\\\\V = 4 \times 3.14 \times 3^2\\\\V = 12.56 \times 9\\\\V = 113.04

Thus volume of candy is 113.04 cubic centimeter

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The photography club decided to go on a field trip to the Andy Warhol museum. They had to break into smaller groups once they go
Diano4ka-milaya [45]
A)
Let x represent the cost of 1 student, and y the cost of 1 teacher.

B)
In the first group, there's 25 students and 2 teachers. Their total cost is $97.50
So 25x + 2y = 97.50
In the second group, there's 32 students and 3 teachers. Their total cost is $127
So 32x + 3y = 127

We get the following system of equations:
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)

C)
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)

In equation (1)
25x + 2y = 97.50
25x + 2y - 2y = 97.50 - 2y
25x = 97.50 - 2y
25x / 25 = 97.50/25 - 2y/25
x = 3.9 - (2/25)y

In equation (2), let's replace x by its algebraic value
32x + 3y = 127
32(-2/25y + 3.9) + 3y = 127
11/25y + 124.8 = 127
11/25y + 124.8 - 124.8 = 127 - 124.8
11/25y = 2.2
(11/25y) / (11/25) = 2.2 / (11/25)
y = 5

x = -2/25y + 3.9
x = -2/25 * 5 + 3.9
x = 3.5

So the cost of each student is $3.5, and the cost of each teacher is $5.

Hope this helps! :)




4 0
3 years ago
BRAINLIEST FOR RIGHT ANSWER!!
julsineya [31]

Answer: {\boxed{h(x+4)=\frac{9+3x}{8+x}}}

Concept:

In a function f(x), it represents a function in terms of x or for x. Therefore, to find the values in the function, substitute values within the parenthesis to solve.

Solve:

<u>Given information</u>

h(x)=\frac{-3+3x}{4+x}

<u>Need to find</u>

h(x+4)

<u>Substitute (x + 4) to the position of x</u>

h(x+4)=\frac{-3+3(x+4)}{4+(x+4)}

<u>Distributive property on the numerator</u>

h(x+4)=\frac{-3+3x+12}{4+(x+4)}

<u>Combine like terms</u>

h(x+4)=\frac{-3+12+3x}{4+4+x}

\boxed{h(x+4)=\frac{9+3x}{8+x}}

Hope this helps!! :)

Please let me know if you have any questions

5 0
2 years ago
Is the answer<br> A.-6y=- 12<br> B.-6y=12 <br> C. -2y=-12<br> D.2y=12
polet [3.4K]

Answer:

The answer would not be A. It is B

Step-by-step explanation:

Because you are subtracting the equations, on the right side of the equal sign, you are subtracting -5 from 7. This is 7-(-5), which is equal to 7+5=12, not -12.

8 0
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How to approximate to 3 significant figures
kondaur [170]

Answer:

We round a number to three significant figures in the same way that we would round to three decimal places. We count from the first non-zero digit for three digits. We then round the last digit. We fill in any remaining places to the right of the decimal point with zeros.

3 0
3 years ago
Help!! What’s the answer??<br> 20 points!
Fittoniya [83]

Answer:

b or c I'm not for sure

Step-by-step explanation:

hope this helps

8 0
3 years ago
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