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gayaneshka [121]
3 years ago
9

Which of the following is equivalent to |x-1| <5? x-1<5 5 -5 -5 > x-135

Mathematics
2 answers:
Svetllana [295]3 years ago
4 0

It is equivalent to -5 < x - 1 < 5

Step-by-step explanation:

  • Step 1: Find equivalent of |x - 1| < 5

|x| this represents the absolute value. It is the distance of x from 0, so the value of x can be both positive and negative.

⇒ |x - 1| < 5 can be (x - 1) < 5 and -(x - 1) < 5

⇒ -(x - 1) < 5

⇒ (x - 1) < -5

So equivalent of |x - 1| < 5 is -5 < x - 1 < 5

sergeinik [125]3 years ago
4 0

Answer:

Step-by-step explanation:

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The factory used to produce 126 articles a day. As a result of retooling, production increased to 189 articles a day. What was t
NARA [144]

Answer: The answer is 50%.


Step-by-step explanation:  Given that the factory produces 126 articles in a day. After retooling, the production of the articles increased and they started producing 189 articles in a day. We need to calculate the percent increase in labour productivity.

We have,

Percent Increase in labour productivity will be equal to the percent increase in the number of articles.

Increase in the number of articles after retooling = 189 - 126 = 63.

Therefore, percent increase in the number of articles is given by

p=\dfrac{63}{126}\times 100\%=\dfrac{100}{2}\%=50\%.

Thus, the labour productivity increased by 50%.

8 0
3 years ago
A sphere has a diameter of 12 meters. What is its exact surface area and its exact volume?
Karo-lina-s [1.5K]

Answer:

The exact value of its surface area = 144π m²

The exact value of its volume = 288π m³

Step-by-step explanation:

∵ The diameter of the sphere is 12m

∴ The radius of the sphere = 12 ÷ 2 = 6m

∵ The surface area of the sphere = 4πr²

∴ The surface area = 4 × π × 6² = 144π m²

∵ The volume of the sphere = 4/3 πr³

∴ The volume = \frac{4}{3}\pi (6)^{3} = 288π m³

6 0
4 years ago
A farmer has a square plot of land he needs defense he walked to the diagonal of the plot of land and found it to be 80 yards ho
andre [41]

Answer: i think the answer is 320

Step-by-step explanation:

i say 320 because a square has 4 sides and there is 80 yards so all i did is multiply 80 x 4 = 320

7 0
3 years ago
Read 2 more answers
Solve for x.<br> X + 10<br> 2x - 50<br><br> x = [?]
Vladimir [108]

Answer:

x +10 = 2x-50

x-2x = -50-10

-x. = -60

-x/-1 = -60/-1

x = 60°

6 0
3 years ago
suppose you have a bag that hold 27 pieces of candy: 1 cream soda, 14 apple, and 12 root beer. you reach into the bag to pull ou
Alex787 [66]
I order to solve this you have to find out how how much root beer there is to the total amount of candy. 12/27. Then you find out what the percentage of root beer there is by dividing 12 by 27. It’ll give you a decimal point. Percentage has a maximum of 100%. And you’ll find out what percent based on this decimal. Factor it out of 1. The percentage you get is .44. By factoring out of 1 you can find out that the percentage is 44%. So the probability of finding a root beer out of all the candy is roughly 44%
7 0
3 years ago
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