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-Dominant- [34]
3 years ago
14

Malcolm started with a board that was 5 3/4 feet long. He then cut off a section that was 1 feet long. How much of the board is

left?
Mathematics
1 answer:
Marrrta [24]3 years ago
8 0

Answer:

4\frac{3}{4}ft

Step-by-step explanation:

Given that Malcolm started with 5\frac{3}{4}ft of board, then cut off a section that was 1 foot in length, you can subtract the length of the section from the total amount he started with:

5\frac{3}{4}ft - 1 = 4\frac{3}{4}ft

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Which linear equation has no solution?
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Answer:

Option A

Step-by-step explanation:

Given:

  • a. 3x-5= 3x + 5
  • b. 3x-5= 3x - 5
  • c. 3x - 5 = 2x+5
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To find:

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Solution:

a)  3x-5= 3x + 5

Add 5 to both sides

3x-5= 3x + 5

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3x - 5 + 5 = 3x + 5 + 5

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3x  = 3x + 5 + 5

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Subtract 3x from both sides

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(Combine like terms)

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The input is a contradiction: it has no solutions

b)  3x-5= 3x - 5

Since both sides equal, there are infinitely many solutions.

c)  3x - 5 = 2x+5

Add 5 to both sides

3x = 2x + 5 + 5

Simplify  2x + 5 + 5 to 2x + 10

3x = 2x + 10

Subtract 2x from both sides

3x - 2x = 10

Simplify 3x - 2x to x.

x = 10

d) 3x-5 = 2x + 10

Add 5 to both sides

3x = 2x + 10 + 5

Simplify 2x + 10 + 5 to 2x + 15

3x = 2x + 15

Subtract 2x from both sides

3x - 2x = 15

Simplify 3x -2x to x.

x = 15

--------------------------------------------

Answer:

As you can see all c and d both have solutions, eliminating them as options. Option B has infinite solutions leaving Option A which has no solutions.

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