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Lostsunrise [7]
4 years ago
9

5x+8-7x=-4x+1 A.No Solutions B. Exactly one solution C. Infinitely many solutions

Mathematics
1 answer:
dezoksy [38]4 years ago
4 0

Answer:

  B.  Exactly one solution

Step-by-step explanation:

You can add (4x -8) to both sides:

  5x +8 -7x +(4x -8) = -4x +1 +(4x -8)

Collect terms

  2x = -7

  x = -7/2 . . . . . divide by 2. One solution.

_____

As soon as you determine that the x-coefficients on the left and right are different, you know there is exactly one solution.

On the left, the coefficient of x is 5-7 = -2; on the right it is -4.

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4 years ago
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3 years ago
How many cubes with side lengths of 1/3 cm does it take to fill the prism?
user100 [1]

Answer:

The number of cubes that fill the prism is 24

Step-by-step explanation:

Given as :

The length of cube (l) = \frac{1}{3} cm

The length of prism (L) = 1 cm

The width of prism (w) = 2 \frac{2}{3} = \frac{8}{3} cm

The height of prism (h) = \frac{2}{3} cm

Let the number of cubes that fill the prism = x

Now, Volume of cube with length (l) = l³   cm³

Or,  Volume of cube with length (l) = (\frac{1}{3})^{3}  cm³

Or,  Volume of cube with length (l) = (\frac{1}{27})  cm³

Again , Volume of prism  = \frac{1}{2}\times Length \times width \times height

Or, Volume of prism = \frac{1}{2}\times 1 \times \frac{8}{3} \times \frac{2}{3}

Or, Volume of prism = (\frac{8}{9})  cm³

<u>So , The number of cubes to fill prism  </u>

 The number of cubes × Volume of cube = Volume of prism

Or, x × (\frac{1}{27})  cm³ = (\frac{8}{9})  cm³

or   x = \frac{8\times 27}{9} = 24

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Answer:

C is the correct answer

Step-by-step explanation:

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