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Nezavi [6.7K]
3 years ago
8

How many 1/3 inch cubes does it take to fill a box with a width of 3 1/3 inches, a length of 2 2/3 inches, and a height of 1 1/3

inches?
Mathematics
2 answers:
victus00 [196]3 years ago
5 0

Answer:

320 cubes

Step-by-step explanation:

3 1/3 inches = 10/3 inches

There are 10 lengths of 1/3 inch in 10/3 inches.

2 2/3 inches = 8/3 inches

There are 8 lengths of 1/3 inch in 8/3 inches.

1 1/3 inches = 4/3 inches

There are 4 lengths of 1/3 inch in 4/3 inches.

In the 3 1/3 inch by 2 2/3 inch by 1 1/3 inch box, you can place 10 by 8 by 4 cubes measuring 1/3 inch on the side.

10 * 8 * 4 = 320

Answer: 320 cubes

Charra [1.4K]3 years ago
3 0

Answer:

It will take 3/4 cubes to fill the box

Step-by-step explanation:

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Finger [1]

Answer:

100

Step-by-step explanation:

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3 years ago
If an image of a triangle is congruent to the pre-image, then the scale factor of the dilation must be n =
Marrrta [24]
Can you show the exact problem
7 0
3 years ago
Part A: Factor 3x2c2 + 5xc2 − 2c2. Show your work. (4 points) Part B: Factor x2 + 6x + 9. Show your work. (3 points) Part C: Fac
Margarita [4]

Answer:

\boxed{\mathrm{view \: explanation}}

Step-by-step explanation:

A) 3x²c² + 5xc² - 2c²

Factor c² from all terms in the expression.

c²(3x² + 5x - 2)

Factor 3x² + 5x - 2

c²(3x-1)(x+2)

B) x² + 6x + 9

x² + 3x + 3x + 9

Factor common terms.

x(x+3)+3(x+3)

Take x+3 common.

(x+3)(x+3)

C) x² - 9

x² -3²

Apply formula : a² - b² = (a+b)(a-b)

(x+3)(x-3)

6 0
3 years ago
Read 2 more answers
If (x+2) is a factor of x^3-6x^2+kx+10, k=
tensa zangetsu [6.8K]
If a polynomial is divisible by x-a, then a is a root of this polynomial.
Here (x-a) is equal to x+2:

x-a=x+2 \\
-a=2 \\
a=-2

So -2 is a root of the polynomial. That means <span>x³-6x²+kx+10</span>=0 for x=-2. Now substitute -2 for x in the equation and solve for k:

(-2)^3-6 \times (-2)^2+ k \times (-2)+10=0 \\&#10;-8-6 \times 4-2k+10=0 \\&#10;-8-24-2k+10=0 \\&#10;-2k-22=0 \\&#10;-2k=22 \\&#10;\boxed{k=-11}
5 0
4 years ago
Write your answer in the form y=my+b
CaHeK987 [17]

Answer:

y= -2x+18

Step-by-step explanation:

1. The secant line is a line that passes through 2 points in the function.

2. Determine the y values for x=-6 and x=3 by plugging the x values into the x^2 + x function. This yields 30 for x=-6 and 12 for x=3.

3. Find the slope by calculating the rise over the run, represented by the equation (y2 - y1)/(x2-x1). Plugging in the numbers we get (12-30) divided by (3 -(-6)). This gives you a slope equation of -18/9 (subtracting a negative yields a positive), which simplifies to -2.

4. Now that you have your slope m, apply it backwards from x=3 (x=2 yields 14 for y, 1 yields 16, 0 yields 18). Once you arrive at x=0, the y value is your y-intercept.

5. Put the y-intercept b into the equation y= mx+b, and you come out with y= -2x + 18!

6 0
4 years ago
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