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gregori [183]
2 years ago
7

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

Mathematics
1 answer:
shusha [124]2 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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What is the area of a rectangle with length 1/12 ft and width 3/4 ft
Mila [183]

Answer:

3/48 or reduced 1/16

Step-by-step explanation:

1/3 x 3/4 = 3/48

Reduced:

3/48 ÷ 3/3 = 1/16

Only put the reduced fraction if it asks.

Hope this helps :)

7 0
2 years ago
A researcher is testing how bacterial cells react to different environments. She placed a petri dish that initially had 32,000 b
Nataly [62]

<u>Solution- </u>

A researcher placed a petri dish with 32,000 bacterial cells. One hour after being placed in the vacuum chamber, the number of cells in the petri dish had halved. Another hour later, the number of cells had again halved.

This can be represented as exponential decreasing function,

y=a(1 - r)^x

Where,

  • a = starting amount  = 32000
  • r = rate  = 50% = 0.5 as the sample becomes halved in each hour
  • x = hours

Putting the values,

\Rightarrow y=32000(1 - 0.5)^x

\Rightarrow y=32000(0.5)^x

y-intercept means, where x=0, so

\Rightarrow y=32000(0.5)^0\\\\\Rightarrow y=32000\times 1=32000

The coordinate of this poin will be (0, 32000)

This means when x=0 or at the starting of the research, the number of bacteria cells was 32000.

After 3 hours, number of bacteria cells will be,

\Rightarrow y=32000(0.5)^3

\Rightarrow y=32000\times 0.125

\Rightarrow y=4000

The  coordinate of this point will be (3, 4000)

7 0
2 years ago
Rena is building a 1:1801:1801, colon, 180 scale model of a real castle. Her model has a rectangular base that is 333 feet wide
liubo4ka [24]

Answer:

388,800 ft^2.

Step-by-step explanation:

Scale = 1 : 180

Actual length, Ls = 180 × 4

= 720 ft

Actual width, Bs = 180 × 3

= 540 ft

Area of a rectangle = Ls × Bs

= 540 × 720

= 388,800 ft^2.

7 0
2 years ago
Given the equation −4Square root of x minus 3 = 12, solve for x and identify if it is an extraneous solution.
Darina [25.2K]

Answer:

There is no solution for the given radical equation.

x = 225/16 is an extraneous solution.

Step-by-step explanation:

The given equation is  

Add 3 to both sides of the equation

Squaring both sides

Divide both sides by 16

Substituting back the value of x in original equation to check the extraneous solution.

 

Since -18≠ 12. Hence, the value of x does not satisfy the equation.

Therefore, x = 225/16 is an extraneous solution.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Fernando evaluated the expression below. StartFraction 5 (9 minus 5) over 2 EndFraction + (negative 2) (negative 5) + (negative
Rzqust [24]

Answer:

Fernando incorrectly found the product of –2 and –5.

Step-by-step explanation:

Fernando evaluated the numerator of the fraction incorrectly.

Fernando simplified StartFraction 20 over 2 EndFraction incorrectly.

Fernando incorrectly found the product of –2 and –5.

Fernando evaluated (negative 3) squared incorrectly.

Fernando's calculation

5(9-5) / 2 + (-2)(-5) + (-3)^2

= 5(4) / 2 - 10 + 9

= 20/2 - 10 + 9

= 10 - 10 + 9

= 9

Correct calculation

5(9-5) / 2 + (-2)(-5) + (-3)^2

= 5(4) / 2 + (10) + 9

= 20/2 + 10 + 9

= 10 + 10 + 9

= 29

Therefore,

Fernando's error was multiplying (-2)(-5) to be equal to -10 instead of 10

Fernando incorrectly found the product of –2 and –5.

5 0
2 years ago
Read 2 more answers
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