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artcher [175]
3 years ago
6

At the store Jason finds the total volume of soda in a pack is 50.24 cubic inches . If each cylinder -shaped can has a height of

4 inches and a diameter of 2 inches , how many soda cans are in a pack ? (Use 3.14 for pi)
A) 4

B) 5

C) 13

D) 2


Explain:
Mathematics
1 answer:
atroni [7]3 years ago
7 0

Answer: A) 4

Step-by-step explanation:

Hi, to answer this, first, we have to calculate the volume of each can:

Volume of a cylinder: π x radius^2 x height

Since:

Diameter: 2 radius

2 = 2r

2/2 =r

r=1

Back with the volume formula:

V = 3.14 ( 1)² 4 =12.54 cubic inches

Now, we have to divide the total volume of soda by the volume of each can:

50.24/12.54= 4 soda cans

Feel free to ask for more if needed or if you did not understand something.

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Membership to a music club costs $165. Members
dimulka [17.4K]

Answer:

11 music lessons.

Step-by-step explanation:

We know that membership costs $165 and members pay $25 per music lesson.

So, we can write the following expression:

165+25m

The 165 represents the one-time membership fee and the 25m represents the cost for m music lessons.

We know that non-members pay no membership fee but their cost per lesson is $40. So:

40m

Represents the cost for non-members for m music lessons.

We want to find how many music lessons would have to be taken for the cost to be the same for both members and non-members. So, we can set the expressions equal to each other:

165+25m=40m

And solve for m. Let's subtract 25m from both sides:

165=15m

Now, divide both sides by 15:

m=11

So, at the 11th music lesson, members and non-members will pay the same.

Further Notes:

This means that if a person would only like to take 10 or less lessons, the non-membership is best because there is no initial fee.

However, if a person would like to take 12 or more lessons, than the membership is best because the membership has a lower cost per lesson than the non-membership.

And we're done!

5 0
3 years ago
I NEED HELP!!
Bess [88]
<h2>Answer:</h2>

4x - 6 + 2x = 3(2x - 2)

4x - 6 + 2x = 6x - 6

[ both sides - 6 cancel each other ]

4x + 2x = 6x

6x = 6x

[ both sides 6x cancel each other ]

0 = 0.

4 0
3 years ago
Read 2 more answers
A gardener is planting two types of trees:
ICE Princess25 [194]

Answer:

After 1 year, both the tress will be of the same height.

Step-by-step explanation:

Let us assume in x years, both trees  have same height.

Type A  is 7 feet tall and grows at a rate of 8 inches per year.

⇒The growth of tree A in x years = x times  ( Height growth each year)

                                                        = 8 (x)  = 8 x

⇒Actual height of tree A in x years  = Initial Height + Growth in x years

                                                             = 7 + 8 x

or, the height of tree A after  x years  = 7 + 8x

Type B is 9 feet tall and grows at a rate of 6 inches per year.

⇒The growth of tree B in x years = x times  ( Height growth each year)

                                                        = 6 (x)  = 6 x

⇒Actual height of tree B in x years  = Initial Height + Growth in x years

                                                             = 9 + 6 x

or, the height of tree B after  x years  = 9 + 6x

According to the question:

After x years, Height of tree A  =Height of tree B

⇒7 + 8x   = 9 + 6x

or, 8x - 6x = 9 - 7

or, 2 x  = 2

or, x  =  2/2  = 1    ⇒ x  = 1

Hence, after 1 year, both the tress will be of the same height.

5 0
3 years ago
NEED HELP ASAP PLEASE!!
Westkost [7]

Answer:

your answer would be (B.)

Step-by-step explanation:

8 0
3 years ago
X^3 - 2y^2 - 3x^3 + z^4
Andreyy89

Answer:

-2x³ - 2y² + z⁴

Step-by-step explanation:

Step 1: Write out expression

x³ - 2y² - 3x³ + z⁴

Step 2: Combine like terms (x³)

-2x³ - 2y² + z⁴

8 0
3 years ago
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