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boyakko [2]
3 years ago
13

Mark has a container in the shape of a cube. He uses 64 cubes with side lengths of 1 inch to completely fiil the container. What

is the edge length of the container?
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0

Answer:

4 inches

Step-by-step explanation:

We just have to find the cube root of 64 :)

For example if we had 8 cubes of 1 inch, you can put them together into a cube of 2 inches,

8 is the cube of 2 = 2 x 2 x2

Do you get it?

Same goes for 27 cubes of 1 inch, you get a cube of 3 inches

So for 64 cubes, we find the cube root and we get 4

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40x^-4 y^-6/(over)10x^-5 y^5
lisov135 [29]

Answer:

4x/y¹¹

Step-by-step explanation:

1) take out constants

40/10 * x⁻⁴y⁻⁶/x⁻⁵y⁵

2) simplify 40/10 to 4

4 * x⁻⁴y⁻⁶/x⁻⁵y⁵

3) Use Quotient Rule: xᵃ/xᵇ=xᵃ⁻ᵇ

4x⁻⁴⁺⁵y⁻⁶⁻⁵

4) Simplify -4 + 5 to 1

4x¹y⁻⁶⁻⁵

5) simplify -6-5 to -11

4x¹y⁻¹¹

6) use rule of one: ₓ¹=ₓ

4xy⁻¹¹

7) use negative power rule: x⁻ᵃ=1/xᵃ

4x * 1/y¹¹

8) simplify

4x/y¹¹

7 0
2 years ago
A movie theater has seats arranged in 25 rows with 30 seats in each row. How many seats are in the theater?
monitta

Answer: 750

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A recipe called for 2/9 cup of chopped tomatoes and 4/7 cup of diced tomatoes. In total how many cups of tomatoes did the recipe
kolbaska11 [484]
50/63

You add them

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4 0
3 years ago
Read 2 more answers
2) Is V23 a rational or an<br> irrational number?
Butoxors [25]

Answer:Irrational

Step-by-step explanation: There is not a number you can square to get 23. The answer would be a repeating number, being irrational.

4 0
3 years ago
Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo
Alla [95]

Answer:

\displaystyle y=-\frac{1}{2}x+4

Step-by-step explanation:

<u>Equation of a Line</u>

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

y - 12 = 2x -8

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

y = 2x +4

The coefficient of the x is the slope

m=2

The slope of the perpendicular line is the negative reciprocal of m, thus

\displaystyle m'=-\frac{1}{2}

We know the second line passes through (2,3). That is enough information to find the second equation:

y-y_o=m'(x-x_o)

\displaystyle y-3=-\frac{1}{2}(x-2)

Operating

\displaystyle y=-\frac{1}{2}(x-2)+3

Simplifying

\displaystyle y=-\frac{1}{2}x+4

That is the equation in slope-intercept form. Intercept: y=4

8 0
3 years ago
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