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2 years ago

7

i think of a number. if i divide the sum of 5 and the number by 3, the result is 2 less than one quarter of the number. find the

number

1 answer:

Marrrta [24]2 years ago

7 0

Answer:

x = 4.75

Step-by-step explanation:

<u>(5 +X</u><u> )/3</u> = 2 - <u> X/4</u>

<h3> <u>(5 +X</u><u> )/3</u> = 8 - X </h3><h3>5+ X = 3 (8 - X) </h3><h3> 5+ X = 24 - 3X transposing terms</h3><h3>X+ 3X= 24 -5</h3><h3> 4X = 19</h3><h3> X = 19/4 </h3><h3>X = 4.75</h3>

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Kaylis [27]

Answer:

Option B) {(1, -1), (-3, -3), (2, 4)}

Step-by-step explanation:

<u><em>The correct inequality is </em></u>

$y>\frac{1}{2}x-2$

The solution of the inequality is the shaded area above the dashed line $y=\frac{1}{2}x-2$

see the attached figure to better understand the problem

we know that

If a ordered pair satisfy the inequality, then the ordered pair must lie in the shaded area of the solution

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case A) {(6, 1), (-1, -3), (4, 4)}

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For x=6, y=1

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$1>\frac{1}{2}(6)-2$

$1>1$ ---> is not true

therefore

The point not satisfy the inequality

case B) {(1, -1), (-3, -3), (2, 4)}

ordered pair (1,-1)

For x=1, y=-1

substitute in the inequality

$-1>\frac{1}{2}(1)-2$

$-1>-1.5$ ---> is true

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ordered pair (-3,3)

For x=-3, y=3

substitute in the inequality

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ordered pair (2,4)

For x=2, y=4

substitute in the inequality

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$4>-1$ ---> is true

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The point satisfy the inequality

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case C) {(1, -1), (-3, -3), (4, -2)}

ordered pair (4,-2)

For x=4, y=-2

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case D) {(-1, -3), (-3, -3), (2, 4)}

ordered pair (-1,-3)

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substitute in the inequality

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