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3 years ago

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

1 answer:

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

Read 2 more answers

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