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Y_Kistochka [10]
3 years ago
10

A container shaped as a rectangular prism can hold 156 wooden cube blocks with edge lengths of 1/3 ft.

Mathematics
1 answer:
PolarNik [594]3 years ago
3 0
Each cube is 4 inches by 4 inches by 4 inches
Each cube is 4*4*4 = 64 cubic inches
So, 156 cubes would have a volume of 64*156=
9,984 cubic inches.
there are 1,728 cubic inches in a cubic foot so that would be
5.777777777 cubic feet

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Solve the following quadratic equation using the quadratic formula.
sdas [7]
ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a};\ x_2=\dfrac{-b+\sqrt\Delta}{2a}

<span>5x^2-8x+5=0\to a=5;\ b=-8;\ c=5\\\\\Delta=(-8)^2-4\cdot5\cdot5=64-100=-36\\\\\sqrt\Delta=\sqrt{-36}=6i

x_1=\dfrac{-(-8)-6i}{2\cdot5}=\dfrac{8-6i}{10}=\dfrac{4-3i}{5}\\\\x_2=\dfrac{-(-8)+6i}{2\cdot5}=\dfrac{8+6i}{10}=\dfrac{4+3i}{5}
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6 0
3 years ago
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Is 1 2/6 an irrational number
FrozenT [24]

Answer:yes

Step-by-step explanation:

7 0
3 years ago
Please answer this<br>Hope you get along<br>I report What to answer​
Llana [10]

What the hel you expect us to do all that for 5 kids points? Go ask you mom to do that for you. If you're asking US to do that, then it has to be 40 or 50 points.

3 0
3 years ago
Craig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average
lutik1710 [3]
Let the distance of the first part of the race be x, and that of the second part, 15 - x, then
x/8 + (15 - x)/20 = 1.125
5x + 2(15 - x) = 40 x 1.125
5x + 30 - 2x = 45
3x = 45 - 30 = 15
x = 15/3 = 5

Therefore, the distance of the first part of the race is 5 miles and the time is 5/8 = 0.625 hours or 37.5 minutes
The distance of the second part of the race is 15 - 5 = 10 miles and the time is 1.125 - 0.625 = 0.5 hours or 30 minutes.
4 0
3 years ago
Read 2 more answers
Which inequality represents the sentence? The difference of seven and two tenths and a number is more than twenty nine. 7. 2 - n
Slav-nsk [51]

The inequality which represent, the difference of seven and two tenths and a number is more than twenty-nine, is

7.2-n > 29

<h3>What is the inequality equation?</h3>

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

Inequality is represented with the greater then(<), less then(>) or with the other inequity signs like less than equal to \leq or greater than equal to \geq.

Tenth is written as the fractional part of the number 10. The value of one tenth is equal to 1/10 or 0.1.

The sentence given for the inequality expression is, that the differences of seven and two tenths, and a number is more than twenty-nine.

The number seven and two tenths can be written as,

7\dfrac{2}{10}

Suppose the unknown number is n.  Now, the differences of seven and two tenths, and this number (<em>n</em>) is more than twenty-nine.  The more than word means, the greater than sign for equation. Thus, it can be expressed as,

7\dfrac{2}{10}-n > 29\\\dfrac{72}{10}-n > 29\\7.2-n > 29

Hence, the inequality which represent, the difference of seven and two tenths and a number is more than twenty-nine, is

7.2-n > 29

Learn more about the inequality equation here:

brainly.com/question/17724536

7 0
3 years ago
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