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3 years ago

Please help! This boxed is packed with cubes that measure on cubic foot.

Mathematics

1 answer:

Vsevolod [243]3 years ago

3 0

Answer:

Volume of Cuboid = 72 cubic feet

Step-by-step explanation:

Using 1 cubic foot as standard

Given:

Length of given cuboid = 6 feet

Width of given cuboid = 3 foot

Height of given cuboid = 4 foot

Find:

Volume of Cuboid

Computation:

Volume of Cuboid = Length of cuboid x Width of cuboid x Height of cuboid

Volume of Cuboid = (6)(3)(4)

Volume of Cuboid = 72 cubic feet

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Evaluate the expressions 3x-2 and 4x+4 for the following value of x.

kirill [66]

Question:

Evaluate the expressions 3x - 2 and 4x + 4 for the following values of x. When you have found the value for each expression, write a statement using <, >, or = that shows how the two values are related. a. x = 0 b. x = -6 c. x = 5 d. x = -2

Answer:

Part a: $4x+4>3x-2$

Part b: $4x+4=3x-2$

Part c: $4x+4>3x-2$

Part d: $4x+4>3x-2$

Explanation:

Part a: Substituting $x=0$ , we get,

$\begin{aligned}3 x-2 &=3(0)-2 \\&=-2\end{aligned}$

$\begin{aligned}4 x+4 &=4(0)+4 \\&=4\end{aligned}$

The value of $3x-2$ is less than $4x+4$

Thus, $4x+4>3x-2$

Part b: Substituting $x=-6$ , we get,

$\begin{aligned}3 x-2 &=3(-6)-2 \\&=-18-2 \\&=-20\end{aligned}$

$\begin{aligned}4 x+4 &=4(-6)+4 \\&=-24+4 \\&=-20\end{aligned}$

The value of $3x-2$ and $4x+4$ are equal.

Thus, $4x+4=3x-2$

Part c: Substituting $x=5$ , we get,

$\begin{aligned}3 x-2 &=3(5)-2 \\&=15-2 \\&=13\end{aligned}$

$\begin{aligned}4 x+4 &=4(5)+4 \\&=20+4 \\&=24\end{aligned}$

The value of $3x-2$ is less than $4x+4$

Thus, $4x+4>3x-2$

Part d: Substituting $x=-2$ , we get,

$\begin{aligned}3 x-2 &=3(-2)-2 \\&=-6-2 \\&=-8\end{aligned}$

$\begin{aligned}4 x+4 &=4(-2)+4 \\&=-8+4 \\&=-4\end{aligned}$

The value of $3x-2$ is less than $4x+4$

Thus, $4x+4>3x-2$

4 0

3 years ago

A rectangle or prism with a volume of three cubic units is filled with Cubes with side length of one for a few how many 1/4 unit

AURORKA [14]

Answer:

192 cubes.

Step-by-step explanation:

The volume of each cube = (side)³ = (1/4)³ = 1/64 units ³

Next is to find how many cubes are needed to fill the prism.

The number of cubes that will fill the prism :

Vol. of prism / Vol. of cube = 3 / $\frac{1}{64}$

=192 cubes.

Therefore, it takes 192 cubes to fill the prism.

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earnstyle [38]

Answer
D
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iVinArrow [24]

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- y = -x^2 + x + 3

- x = -b/2a

- x = -1/2(-1)

- x = -1/-2, which = (1/2)

Not quite sure if this was correct, but if it was, hope this helps and you're welcome! :)

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