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3 years ago

A large cube has 5 layers, each with 5 rows of 5 small cubes. How many small cubes will the larger cube have.

Mathematics

1 answer:

Crank3 years ago

3 0

Answer:

The large cube will contain 125 total small cubes.

Step-by-step explanation:

In order to find this, we multiply the number of rows by the number of cubes in a row.

5 * 5 = 25

Now we take that number and we multiply it by the number of layers total.

25 * 5 = 125

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Select the correct answer.

Radda [10]

Answer:

$(-1\frac{1}{3}, 4\frac{3}{5})$

Step-by-step explanation:

To find the exact solution, find the equation for each line. And solve for x and y.

To do this, represent each equation in the slope-intercept form, y = mx + b. Where m is the slope, and b is the y-intercept.

✍️Equation 1 for the line that slopes upwards from left to your right:

Slope = $m = \frac{rise}{run} = \frac{2}{1} = 2$

b = the point at which the y-axis is intercepted by the line = 7

Substitute m = 2 and b = 7 in y = mx + b

Equation 1 would be:

✔️y = 2x + 7

✍️Equation 2 for the line that slopes downwards from left to your right:

Slope = $m = \frac{rise}{run} = -\frac{3}{1} = -3$

b = the point at which the y-axis is intercepted by the line = 1

Substitute m = -3 and b = 1 in y = mx + b

✔️Equation 2 would be:

y = -3x + 1

✍️Solve for x and y:

✔️To solve for x, substitute y = -3x + 1 in equation 1.

y = 2x + 7

-3x + 1 = 2x + 7

Collect like terms

-3x - 2x = 7 - 1

-5x = 6

Divide both sides by -5

$x = \frac{6}{-5} = -1\frac{1}{5}$

✔️To solve for y, substitute x = -1⅕ in equation 2.

y = -3x + 1

$y = -3\frac{-6}{5} + 1$

$y = \frac{18}{5} + 1$

$y = \frac{18 + 5}{5}$

$y = \frac{23}{5}$

$y = 4\frac{3}{5}$

✅The exact solution would be: $(-1\frac{1}{3}, 4\frac{3}{5})$

3 0

3 years ago

Write 5 as a fraction with 5 in the denominator

Ivenika [448]

25/5 is a THE fraction

8 0

3 years ago

What is the area of the picture and frame shown? Write your answer as a mixed number in simplest form.

SVETLANKA909090 [29]

84.5833333 is the answer, I believe

5 0

3 years ago

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Superman needs to save Lois from the clutches of Lex Luthor. After flying for 5 seconds, he is 1845 meters from her. Then at 15

Lapatulllka [165]

Answer:

do not know what the question is but the equation for this would be

y=2100-51x

7 0

3 years ago

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Of 560 marbles in a bag, 65% are red and the rest are blue. After 28 red marbles are replaced with blue ones, how many blue marb

jonny [76]

Answer: The answer is 400 blue marbles.

Step-by-step explanation: Given that there are 560 marbles in a bag, out of which 65% are red and rest are blue.

So, number of red marbles is

$n_r=65\%\times 560=\dfrac{65}{100}\times 560=364,$

and number of blue marbles is

$n_b=560-364=196.$

Now, if 28 red marbles are replaced by blue marbles, the the new number of red and blue marbles will be

$n_r^\prime=364-28=336~~~\textup{and}~~~n_b^\prime=196+28=224.$

Now, to get 65% of the marbles blue, we need to add some more blue marbles to the bag. Let 'x' number of blue marbles are added to the bag, then

$65\%\times (560+x)=224+x\\\\\Rightarrow \dfrac{65}{100}\times (560+x)=224+x\\\\\Rightarrow 13(560+x)=20(224+x)\\\\\Rightarrow 7280+13x=4480+20x\\\\\Rightarrow 7x=2800\\\\\Rightarrow x=400.$

Thus, 400 blue marbles need to be added to the bag.

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3 years ago

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