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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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guajiro [1.7K]
So if x people were surveyed, \frac{7}{8} people owned a bike and \frac{1}{8}  did not.

The difference between them is 72:
\frac{7}{8} x-\frac{1}{8} [/tex] =72
so this means that
\frac{6}{8} x=72

let's simplify:

\frac{3}{4} x=72

and divide by 3:

\frac{1}{4} x=24

and mupliply by 4:

x=96

so 96 people were surveyed







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3 years ago
Help please I give you a cookie
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3 0
3 years ago
The ratio of men and women at a class is 6 to 5. how many women are their if their are 3600 men?
umka2103 [35]

Answer:

3,000

Step-by-step explanation:

6:5

1.2( divided 6 by 5):1 (Divide 5 by 5)

3600 divided by 1.2

3,000

4 0
2 years ago
Simplify the expression. Write the answer in scientific notation (7x10-6) (3x10-2​
shtirl [24]

Answer:

21 X 10^-8 is the correct answer

Step-by-step explanation:

(7X3) X 10^(-6-2)

21 X 10^ -8

4 0
3 years ago
Brent has $26 when he went to the fair. After playing 7 games, he had $15.50 left. Solve 15.50 = 26 - 7p to find the price for e
AveGali [126]

Step 1: Simplify both sides of the equation.

15.5=26−7p

15.5=−7p+26

Step 2: Flip the equation.

−7p+26=15.5

Step 3: Subtract 26 from both sides.

−7p+26=15.5

      -26 -26

−7p=−10.5

Step 4: Divide both sides by -7.

-7p = -10.5

/-7     /-7

Answer:

P = $1.5 (Price for each game)

Hope this helps!

~LENA~

3 0
3 years ago
Read 2 more answers
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