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Zina [86]
3 years ago
5

Which of the inequalities represents the statement "the absolute value of the difference of x and y is greater than 5"? A) |x -

y| < 5 B) |x - y| > 5 C) |x| - |y| > 5 D) |x| - |y| < 5
Mathematics
1 answer:
Firlakuza [10]3 years ago
7 0
  1. "The difference of x and y": x-y
  2. "The absolute value of the difference...": |x-y|
  3. "...is greater than 5" |x-y|>5

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The value of a stock increased 1 ¼ points Monday morning. On Monday afternoon, the value of the stock decreased 1 ⅔ points. On T
Vika [28.1K]

Answer:

Change = 1\frac{1}{12}

Step-by-step explanation:

Given

Increment = 1\frac{1}{4}

Decrement = 1\frac{2}{3}

Increment = 1\frac{1}{2}

Required

Determine the overall change

The overall change is calculated by adding all increments and subtract the decrement.

This is done as follows;

Change = 1\frac{1}{4} - 1\frac{2}{3} + 1\frac{1}{2}

Convert to Improper Fraction

Change = \frac{5}{4} - \frac{5}{3} + \frac{3}{2}

Take LCM

Change = \frac{15 - 20 + 18}{12}

Change = \frac{13}{12}

Convert to mixed number

Change = 1\frac{1}{12}

<em>Hence; the overall change is an increment of </em>1\frac{1}{12}<em></em>

3 0
3 years ago
Simplify 3j - {2k - [5h - (3j + k)]}.<br><br> -3h - 5k<br> 3h - 5k<br> 5h - 3k<br> -5h - 3k
NeTakaya
If you would like to simplify <span>3j - {2k - [5h - (3j + k)]}, you can do this using the following steps:

</span>3j - {2k - [5h - (3j + k)]} = 3j - {2k - [5h - 3j - k]} = 3j - {2k - 5h + 3j + k} = <span>3j - 2k + 5h - 3j - k = - 3k + 5h = 5h - 3k

The correct result would be 5h - 3k.
</span>
7 0
4 years ago
If the area of a rectangle is 85 square meters, and the width is ten meters
Ket [755]

Answer: E.) 41.95m

Step-by-step explanation:

Area (A) = 85 square meters

Length (L) = a

Width (W) = (a - 10) meters

Area of rectangle(A) = Length (L) × Width (W)

85 = a × (a - 10)

85 = a^2 - 10a

a^2 - 10a - 85 = 0

Using quadratic equation solver :

a = 15.488088482 or a = −5.488088482

Since a cannot be negative, a = 15.49m

Therefore, Length (L) = 15.488m

Width(W) = a - 10 = (15.488 - 10) = 5.488m

Perimeter of rectangle(P) :

P = 2 (L + W)

P = 2 (15.488 + 5.488)

P = 2(20.976)

P = 41.952m

P = 41.95m

4 0
3 years ago
Decide whether the relation defined by the graph to the right defines a lucion and give the domain and an Does the graphed relat
bekas [8.4K]

Answer:

Step-by-step explanation:

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4 years ago
I WILL GIVE BRAINLIEST<br> Solve the equation:<br> −4(9 − 3x) = 0
KATRIN_1 [288]

Answer:

3

Step-by-step explanation:

-4(9-3x)=0

-36+12x=0

12x=0+36

12x=36

x=36/12

x=3

7 0
4 years ago
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