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Nadusha1986 [10]
3 years ago
13

A safety regulation states that the height hh of a guardrail should be 106 centimeters with an absolute deviation of no more tha

n 7 centimeters. Write and solve an absolute value inequality that represents the acceptable heights of a guardrail.
Mathematics
1 answer:
iren [92.7K]3 years ago
6 0

Let us say that h is the height of the guardrail. Therefore the inequality equation that we can generate from this scenario is:

| h – 106 | = ± 7

 

There are two ways to solve this, either the equation is positive or negative.

When the equation is positive, therefore:

| h – 106 | = 7

h = 7 + 106 = 113 cm

 

When the equation is negative, therefore:

| h – 106 | = - 7

h = -7 + 106 = 99 cm

 

So the height must be 99 cm to 113 cm

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Answer:

Ratio of present ages of Sonal and Manoj = 7:5

Let us consider the ages of Sonal and Manoj to be 7x yrs. and 5x yrs. respectively.

After 10 years, ratio of their ages = 9:7

A/q,  7x+10/5x+10 = 9/7

or     9 (5x+10) = 7 (7x+10)

or     45x + 90 = 49x + 70

or      49x - 45x = 90 - 70

or      4x = 20

or       x  =  20/4  =  5 .

Therefore, present age of Sonal = 7x yrs. = 7 x 5 yrs. = 35 yrs.

                    present age of Manoj = 5x yrs. = 5 x 5 yrs. = 25 yrs.              

Step-by-step explanation:

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3 years ago
A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectil
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Hello! :)

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Answer:

5.3 seconds

Step-by-step explanation:

The answer is 5.3 seconds because

If you solve this equation than you will see how it is 5.3 seconds.

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3 years ago
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Answer:

4

Step-by-step explanation:

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5(3-x)

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3 years ago
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