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gregori [183]
3 years ago
7

Carla packed this box with 1 centimeter cubes what is the volume of the box

Mathematics
1 answer:
shusha [124]3 years ago
4 0

Answer: 60\ cm^3

Step-by-step explanation:

<h3> The complete exercise is attached.</h3>

You can observe in the picture attached that the box is a rectangular prism.

The volume of a rectangular prism can be found with this formula:

V=lwh

Where "l" is the length, "w" is the width and "h" is the height.

You know that the lenght of each side of those cubes is 1 centimeter. Therefore, you can multiply the number of cubes on each side of the box by 1 centimeter in order to find the lenght, the width and the height of the box:

 l=(4)(1\ cm)=4\ cm\\\\w=(3)(1\ cm)=3\ cm\\\\h=(5)(1\ cm)=5\ cm

Now you can substitute the lenght, the width and the height of the box into the formula shown at the beginning of the explanation:

V=(4\ cm)(3\ cm)(5\ cm)

Finally, evaluating, you get that the volume of the box is:

V=60\ cm^3

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Which graph represents the function of f(x) 9x^2 + 9x - 18 / 3x + 6
Irina-Kira [14]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=\frac{9x^{2}+9x-18}{3x+6}

Remember that in a quotient, the denominator cannot be equal to zero

so

The value of x cannot be equal to x=-2

Simplify the expression

Using a graphing tool

The roots of the quadratic equation in the numerator are

x=-2 and x=1

so

9x^{2}+9x-18=9(x+2)(x-1)

Simplify the denominator

3x+6=3(x+2)

substitute in the original expression

f(x)=\frac{9(x+2)(x-1)}{3(x+2)}

Simplify

f(x)=3(x-1)

f(x)=3x-3

Is the equation of a line

The y-intercept is the point (0,-3) (value of the function when x is equal to zero)

The x-intercept is the point (1,0) (value of x when the value of the function is equal to zero)

Graph the line, but remember that the value of  x cannot be equal to -2

The graph in the attached figure

7 0
3 years ago
I need help!!! Can you figure this out?
Aneli [31]

Answer:

128 degrees

Step-by-step explanation:

38+90=128

5 0
2 years ago
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Answer:

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Step-by-step explanation:

I hope it helps, bye

7 0
3 years ago
Mr. Larsen's third grade class has 22 students, 12 girls and 10 boys. Two students must be selected at random to be in the fall
kupik [55]

The probability of no boys being chosen will be 0.29.

<h3>What is probability?</h3>

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Mr. Larsen's third-grade class has 22 students, 12 girls, and 10 boys.

Two students must be selected at random to be in the fall play.

Then the probability of no boys being chosen will be

Total event = ²²C₂ = 231

Favorable event = ¹²C₂ = 66

Then the probability will be

P = 66 / 231

P = 0.2857

P ≅ 0.29

More about the probability link is given below.

brainly.com/question/795909

#SPJ1

4 0
2 years ago
1. A local bakery has a daily operating cost of $1800 plus a cost of $10 per cake they make. If a cake sells for $15, which equa
Andrei [34K]

Answer:

C.) 10c 1800+15c

Step-by-step explanation:

The cost of daily operation for the business is $1,800/day, and $10/cake made. To put this into an equation, put the expenses on one side and what you're trying to make a profit off of on the other. Then solve for c.  

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