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Sati [7]
3 years ago
14

The figure below shows a rectangular prism and a cube: A rectangular prism and a cube are drawn side by side. The length of the

rectangle prism is 6 inches, the width is 5 over 6 inch, and its height is 1 and 2 over 6 inches. The cube has a side length of 1 over 6 inch. How many such cubes are required to completely pack the prism without any gap or overlap?
Mathematics
1 answer:
love history [14]3 years ago
4 0

Calculate the volume of each shape.

Volume of rectangle = 6 x 5/6 x 1 2/6 = 6 2/3 cubic inches.

Volume of cube = 1/6 x 1/6 x 1/6 = 1/216 cubic inch.

Now divide the volume of the rectangle by the volume of the cube:

6 2/3 / 1/216 = 1440

It will take 1.440 cubes to fill the rectangle.

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7,8,9,7,2,5,3,2, 2<br><br> Mean__<br> Median__<br> Mode__<br> Range__
serious [3.7K]

Answer:

Mean: 5

Median: 5

Mode: 2

Range: 7

Step-by-step explanation:

We find the mean by adding all the numbers together to get 45. Then we divide the 45 by the amount of numbers in the set, for this one it is 9. 45 divided by 9 equals 5.

To find the median we put the numbers in the set in order from least to greatest. Next, we find the middle number. median=5

To find the mode we find the number repeated the most. In this set the number that repeats the most is 2.

Range is found by subtracting the largest number and the smallest number. 9-2=7

4 0
3 years ago
Which division problem would have an estimated quotient of 3.5 if the divisor and dividend were rounded to the nearest whole num
Artyom0805 [142]

Answer:

27.7 divided by 7.8

27.7 divided by 7.8 has an quotient of 3.55..., while the rest have different values not even on the 3.50 - 3.59 scale. The answer is 27.7 divided by 8.

6 0
4 years ago
Read 2 more answers
How many solutions does the nonlinear system of equations graphed below have
klio [65]

Answer:

The nonlinear system of equations has 4 solutions ⇒ B

Step-by-step explanation:

The number of solutions of a system of equations equal to the number of points of intersection of the graphs of the equations of the system

Let us use this note to solve the question

From the given figure

∵ The nonlinear system of equations represented by two curves and a circle

∵ Each curve intersects the circle into two points

∴ The number of the points of intersection is 4

→ By using the note above

∵ The number of intersection points equal to the number of solutions

∴ The number of solutions is 4

∴ The nonlinear system of equations has 4 solutions

8 0
3 years ago
Solve the equation. Check your solution.<br><br> 30) x/4 = 9
Ksenya-84 [330]

Answer:

x = 36

Step-by-step explanation:

x/4 = 9

multiply both sides by 4

x/4 (4) = 9(4)

x = 36

The answer is x = 36

We can check by plugging in x = 36 to the original equation:

x/4 = 9

(36)/4 = 9

9 = 9

Correct

4 0
3 years ago
Find the general solution of the given differential equation. dy/dx = 9yy(x) = ?
expeople1 [14]

Answer:

See answer below

Step-by-step explanation:

This is a separable equation, so we solve it like this:

\frac{dy}{y}=9dx \implies (\ln(y))'=9dx \implies ln(y)=9x+c \implies y=e^{9x+c} \implies y=ke^{9x}

Then y(x)=ke^{9x} for any constant k (this is the general solution). This solution is defined in (-∞,∞) (there are no singularities) and when x tends to infinity, no terms of the solution vanish, hence there are no transient terms.

5 0
3 years ago
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