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Margarita [4]
2 years ago
14

For any two integers x and y, |x + y| = |x| + |y|. _ is this true or false if false provide counterclaim

Mathematics
1 answer:
Klio2033 [76]2 years ago
7 0

False.

Let <em>x</em> = -1 and <em>y</em> = 1. Then <em>x</em> + <em>y</em> = 0, so that

|<em>x</em> + <em>y</em>| = |0| = 0

but

|<em>x</em>| = |-1| = 1

|<em>y</em>| = |1| = 1

|<em>x</em>| + |<em>y</em>| = 1 + 1 = 2

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if your bicycle tire has a diameter of 9 inches. how many rotations does each tire make if you travel 300 feet?
Vesnalui [34]
Step One
Calculate the number of feet traveled in 1 rotation.

Formula
C = π*d
P = 3.14
d = 9 inches = 9/12 feet = 3/4 of a foot.

C = 3.14 * 3/4 = 2.355 So that means that every time the tire turns around 1 complete turn, the distance traveled on the ground is 2.355 feet.
 
Step Two
Figure out the number of revolutions.
1 revolution = 2.355 feet
x revolutions = 300 feet.

1/x = 2.355/ 300  Cross multiply
2.355 feet * x = 1 rev * 300 feet
2.355 x = 300 rev Divide by 2.355
x = 300 / 2.355 
x = 127.39 revolutions. <<<< Answer

8 0
3 years ago
MEANT FOR ENGLISH
prohojiy [21]

Answer:

Be careful what you wish for.

Step-by-step explanation:

8 0
3 years ago
Is 21/5 a rational number
Anastaziya [24]

The number 21/5 is a rational number because it can be simplified down to 4.2, or 21/5

8 0
3 years ago
The average weight of three dogs is 55 pounds, and the average weight of five cats is 9 pounds. What is the average weight, in p
notsponge [240]

Answer:

Option D is correct

Step-by-step explanation:

Statement 1

Average weight of 3 dogs = 55 pounds

Total weight of 3 dogs = 55 × 3

Total weight of 3 dogs = 165 pound

Statement 2

Average weight of 5 cats = 9 pounds

Total weight of 5 cats = 9 × 5

Total weight of 5 cats = 45 pounds

New Average = 165 + 45/8

New Average = 210/8

New Average = 26.25 pounds

4 0
3 years ago
Read 2 more answers
To paint a house, a painting company charges a flat rate of 500 for supplies plus $50 for each hour of labor. What is the slope
Maksim231197 [3]

Answer:

slope = $50

Step-by-step explanation:

Given the linear equation, y = mx + b:

The slope (m) is the rate of change for every<em> x </em>number of labor hours. What this implies is that whenever the input (x-value) or the number of labor hours increases or decreases, the value of y (total cost) will increase by the given slope value.

Slope: The painting company charges $50 for every 1 hour of labor.

The y-intercept (b) represents the flat rate or initial value. In the given problem, it states that the company charges $500 for supplies. This means that regardless of whether the company finishes working on the painting job, they will charge their customers the flat rate.

Combined, the linear equation will be:

y = 50x + 500

Please mark my answers as the Brainliest if you find my explanations helpful :)

5 0
2 years ago
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