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3 years ago

There are 24 cans of soda arranged in 4 rows of 6 cans each. Each can is a

Mathematics

1 answer:

Studentka2010 [4]3 years ago

7 0

Answer:

23,040 cm^3.

Step-by-step explanation:

The case will be 6 * diameter of a can in length,

= 6* 8= 48 cm.

The width will be 4 * 8 = 32 cm.

The height = height of each can

= 15 cm.

So the volume of the case = 15*32*48

= 23,040 cm^3.

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3 years ago

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Find the length of the missing side (nearest tenth). 15 yd 26 yd

Illusion [34]

Not enough data to be able to get an answer

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3 years ago

The graph of a function f crosses the x-axis at -1 and 3 and touches the x-axis at 5. Which equations could define this function

sattari [20]

Given:

The points where the graph crosses the x-axis are -1 and 3.

The point where the graph touches the x-axis is at 5.

The objective is to find the correct equation of the function.

Explanation:

The equation representing the point x = -1, crossing the x-axis can be represented as,

$\begin{gathered} x=-1 \\ (x+1)=0_{} \end{gathered}$

Similarly, the equation representing the point x = 3, crossing the x-axis can be represented as,

$\begin{gathered} x=3 \\ (x-3)=0 \end{gathered}$

Similarly, the equation representing the point x = 5, touching the x-axis can be represented as,

$\begin{gathered} x=5,x=5 \\ (x-5)(x-5)=0 \\ (x-5)^2=0 \end{gathered}$

By combining all the equations of the graph, the function can be represented as,

$f(x)=(x+1)(x-3)(x-5)^2$

Hence, option (B) is the correct answer.

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1 year ago

Two parallel lines are cut by a transversal. What is the measure of 26?

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The measure of 6
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3 years ago

The number 35 has the property that when its digits are both increased by 2, and

seropon [69]

Answer: The sum is 127

Step-by-step explanation:

A 2-digit number N = ab can be written as (where a and b are single-digit numbers)

a*10 + b.

Now, we want that:

(a + 2)*(b + 2) = a*10 + b.

So we must find all the solutions to that equation such that a can not be zero (if a = 0, then the number is not a 2-digit number)

We have:

(a + 2)*(b + 2) = a*b + 2*a + 2*b + 4 = a*10 + b

a*b + 2*b - b + 4 = a*10 - a*2

a*b + 4 + b = a*8

a*b + 4 + b - a*8 = 0.

Now we can give one of the variables different values, and see if the equation has solutions:

>a = 1:

1*b + 4 + b - 8 = 0

2*b - 4 = 0

b = 4/2 = 2

Then the number 12 has the property.

> if a = 2:

2*b + 4 + b -16 = 0

3b -12 = 0

b = 12/3 = 4

The number 24 has the property.

>a = 3 is already known, here the solution is 35.

>a = 4.

4*b + 4 + b - 8*4 = 0

5*b + 4 - 32 = 0

5*b = 28

b = 28/5

this is not an integer, so here we do not have a solution.

>if a = 5.

5*b + 4 + b - 8*5 = 0

6b + 4 - 40 = 0

6b - 36 = 0

b = 36/6 = 6

So the number 56 also has the property.

>if a = 6

6*b + 4 + b - 8*6 = 0

7b + 4 - 48 = 0

7b - 44 = 0

b = 44/7 this is not an integer, so here we do not have any solution.

>if a = 7

7*b + 4 + b -8*7 = 0

8b -52 = 0

b = 52/8 = 6.5 this is not an integer, so we here do not have a solution.

>if a = 8

8*b + 4 + b -8*8 = 0

9*b + 4 - 64 = 0

9*b = 60

b = 60/9 this is not an integer, so we here do not have any solution:

>if a = 9

9*b + 4 + b - 8*9 = 0

10b + 4 - 72 = 0

10b -68 = 0

b = 68/10 again, this is not an integer.

So the numbers with the property are:

12, 24, 35 and 56

And the sum is:

12 + 24 + 35 + 56 = 127

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3 years ago