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2 years ago

Can I please get some help with this probem?

Mathematics

2 answers:

dimaraw [331]2 years ago

7 0

Answer:

1/-4 <= x

Step-by-step explanation:

1x/3 + 9 <= -3x

9 <= -3x -1x/3

9/9 <= (-3x -1x)/9

1 <= -4x

1/-4 <= x

Lemur [1.5K]2 years ago

6 0

Answer:

In Step 4, the inequality sign should be flipped.

Step-by-step explanation:

Whenever you multiply or divide both sides of an inequality by a negative number, you need to flip the inequality sign. So, in Step 4, when you divide both sides by -10, the sign should be flipped.

The final answer should be:

$\frac{-27}{10} \geq x$

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The area of a rectangular wall of a barn is 85 square feet. Its length is 12 feet longer than the width. Find the length and wid

MaRussiya [10]

Answer:

Length = 17 feet, Width = 5 feet

Step-by-step explanation:

Given:

The area of a rectangular wall of a barn is 85 square feet.

Its length is 12 feet longer than the width.

Question asked:

Find the length and width of the wall of the barn.

Solution:

Let width of a rectangular wall of a barn = $x$

<u>As length is 12 feet longer than the width.</u>

Length of a rectangular wall of a barn = $12+x$

As we know:

$Area\ of\ rectangle=length\times breadth$

$85=(12+x)x\\\\85=12x+x^{2} \\$

Subtracting both sides by 85

$x^{2} +12x-85=0\\x^{2} +17x-5x-85=0\\Taking\ common\\x+(x+17)-5x(x+17)=0\\(x+17)(x-5)=0\\x+17=0, x-5=0\\x=-17,x=5$

As width can never be in negative, hence width of a rectangular wall of a barn = $x$ = 5 feet

Length of a rectangular wall of a barn = $12+x=12+5=17\ feet$

Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.

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