The proper height of a highway guardrail is 27 inches, but 3 inches higher or lower is acceptable. Which inequality represents the acceptable heights, h, of a highway guardrail?
A.|h+27|≤3
B.|h−3|≤27
C.|h+3|≤27
D.|h−27|≤3

Answers

Answer 1

Answer:

Step-by-step explanation:

27 is the "center" of a range of measurements of the height of the guard rail.  The height could be as much as 30 inches or as little as 24 inches.  The absolute value operator encloses "x - 27," where 27 is the "center."  The acceptable excess or acceptable deficiency is 3 inches.  

So now we can eliminate possible answers B and C, in both cases because 27 is inappropriately greater than 3.

Narrowing down our choices, we have h + 27 and h - 27 inside the absolute value operator.  27 is a positive quantity (height of the guard rail), so the inequality showing +27 as the "center" is correct; that is

D:  |h - 27| ≤ 3 (measurements in inches).


Related Questions

Which expressions are equivalent to 7x - 14? Check all that apply.
A: 14 - 7x
B: x - 2
C: -(14 - 7x)
D: 7(x - 2)
E: 3x - 14 + 4x
F: 2x - 10 + 5x + 4

Answers

Answer:

c

d

e

Step-by-step explanation:

HELP PLS :(

At a closed landfill, trash is decaying at a rate of 50% every 15 years.

Which type of function best models the amount of
trash that is remaining after x years?

linear
exponential
quadratic
cubic

Answers

Answer:

I believe it's linear

Step-by-step explanation:

don't quote me on that tho

Michèle is buying carpet for a room with the dimensions shown

Answers

There is no picture shown I think its not there
But where is the picture?

The radius of the base of a right circular cone is 6 yards, and its slant height is 12 yards. If the radius and the slant height are each multiplied by 4, by what factor is the surface area multiplied?
A. 4
B. 8
C. 16
D. 24

Answers

The answer in this problem that you just have us is C

Answer:

the correct answer is C

Step-by-step explanation:

i took the test

HELP ILL GIVE BRAINLIEST what’s the shape of the base?

Answers

Answer:

the shape of the base is a rectangle, and the area of that rectangle is 160

Step-by-step explanation:

Molly is saving money in her ERHS bank account for her upcoming trip to Disney World. On the first day, she put in $34 and plans to add 8 more dollars each day. The Disney trip is in 187 days from the day he started saving. How much money will he have on the 187th day?

Answers

Answer:1522

Step-by-step explanation:

I used a calculator

PLZ GIVE BRANILY

In a poll to pick the name of a new planet discovered in a distant solar system, a total of 963 scientists voted. There were four names to pick from. The winning name exceeded the other names by 53, 79, and 105 votes, respectively. How many scientists voted for the name which came fourth in the poll?​

Answers

Answer:

195

Step-by-step explanation:

Let wining name have, x votes

1st = x

2nd = x - 53

3rd = x - 79

4th = x - 105

x + (x - 53) + (x - 79) + (x - 105) = 963

x + x - 53 + x - 79 + x - 105 = 963

4x - 237 = 963

4x = 963 + 237

4x = 1200

x = 1200 / 4

x = 300

4th = x - 105

x - 105 = 300 - 105 = 195

200s:4m simplest form​

Answers

Answer:

50:1

Step-by-step explanation:

Tbh i guessed just try it

Answer:

5 : 6

Step-by-step explanation:

The quantities must have the same units

4 minutes = 4 × 60 = 240 seconds , then

200 s : 4 m

= 200 s : 240 s ( divide both parts by 40 )

= 5 : 6 ← in simplest form

Triangle ABC is an acute triangle. Two sides measure 5 and 7. What is the range of possible values for its third side?

Answers

Answer:

the desired range is 2 < t < 12.

Step-by-step explanation:

If the third side is 12 (the sum of 5 and 7), we don't really have a triangle, since the 5-unit and 7-unit sides add up to 12 and lie on the third side (of length 12).

Since triangle ABC is acute, all its angles are between 0 and 90 degrees.  So the third side can be 12 but not greater.  The smallest possible length of the third side is 2, since 5 + 2 = 7.

Thus, the desired range is 2 < t < 12.

Find the value of the variables

Answers

Answer:

Step-by-step explanation:

[tex]\text{Since there are two 45 degree angles.}\\ \\ a=4\sqrt{2}\\ \\ \text{By the Pythagorean Theorem }c^2=a^2+b^2,\text{ and in this case a=b so }\\ \\ c^2=2(4\sqrt{2})^2\\ \\ c^2=2(16)2\\ \\ c^2=64\| \\ c=\sqrt{64}\\ \\ c=8[/tex]

Find the sum of the measures of the interior angles of the indicated convex polygons.
1. 17-gon
2. 24-gon

Answers

Answer:

1. 17 - gon

sum of the of measures of interior angles = 180(n-2).....(formula)

here n = 17

therefore, 180(17-2)

= 180(15)

= 2700 degrees

2] 24 - gon

sum of the of measures of interior angles = 180(n-2).....(formula)

here n = 24

therefore, 180(24-2)

= 180(22)

= 3960 degrees.

Question 2
Which of the following sets of ordered pairs represents a relation that is not a function?

Answers

i believe the answer is D

Aryana simplified the expression 3(x + 4) + 2(2x – 3). She justified her work by letting x = 3 in both the given and simplified expressions.

Which is the correct simplified expression for Aryana’s expression?


What is the result for both expressions when x = 3?

Answers

Answer:

7x+6

Step-by-step explanation:

Aryana simplified the expression 3(x + 4) + 2(2x – 3). She justified her work by letting x = 3 in both the given and simplified expressions. Which is the correct simplified expression for Aryana's expression? What is the result for both expressions when x = 3?

Simplified Expression:

3(x + 4) + 2(2x – 3)

3x+12+2(2x-3)

3x+12+4x-6

7x+6

Answer:

the first box is 7x+6 and the other one is 27

Step-by-step explanation:

Perform the operation.
(8x2 – 7x – 2) – (6x2 – x + 3)

Answers

Answer:

2 x² - 6x -5

Step-by-step explanation:

Expansion:-

Given that the expression

                    (8x²-7x-2)-(6x²-x+3)

                = 8x² - 6x² - 7x +x -2 -3

               = 2 x² - 6x -5

can u solve this with the work ?

Answers

Answer:

just search up Mathaway in your browser you will get your answer and a step by step explanation!

Step-by-step explanation:

Answer:

156

Step-by-step explanation:

Help plz im doing homework!!!!!

Answers

The answer is 23/36 I think

In ΔJKL, the measure of ∠L=90°, JK = 5.8 feet, and LJ = 4.4 feet. Find the measure of ∠K to the nearest degree.

Answers

Answer:

The answer is 49.

Step-by-step explanation:

\sin K = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{4.4}{5.8}

sinK=

hypotenuse

opposite

=

5.8

4.4

\sin K = \frac{4.4}{5.8}

sinK=

5.8

4.4

K=\sin^{-1}(\frac{4.4}{5.8})

K=sin

−1

(

5.8

4.4

)

K=49.343\approx 49^{\circ}

K=49.343≈49

2. Mr. Hoffman has a circular chicken coup with a radius of 2.5 feet. He wants to put a chain link fence around the coup to protect the chickens. Which measurement is closest to the length of fence he will need?

Answers

Answer: 15.7ft

Step-by-step explanation:

Answer:

15.7 ft

Step-by-step explanation:

took the test

Forty-five percent of customers at a grocery store use a coupon. Let X = the number of customers selected at random before one is found who will use a coupon.
What are the mean and standard deviation of X?
Round each answer to 3 decimal places.
Mu Subscript x Baseline = StartFraction 1 Over p EndFraction =
Sigma Subscript x Baseline = StartFraction StartRoot 1 minus p EndRoot Over p EndFraction =

Answers

Answer:

mean = 2.222

Standard deviation = 1.648

Step-by-step explanation:

The answer

If a train goes 20 km east then it turns and travels 43 km north then it goes 20 km west then travels south in an unknown number of kilometers and at the end there back in the original location how far did the train travel south

Answers

Answer:

Answer is 43 km.

Step-by-step explanation:

Let's draw diagram to solve the problem.

factorise completely 5x²-5​

Answers

Factor:

5x^2 − 5

5x^2 − 5

= 5 ( x + 1 ) ( x − 1 )

Answer:

5 ( x + 1 ) ( x − 1 )

A brick wall will be shaped like a rectangular prism. The wall needs to be 3 feet tall, and the builders have enough bricks for the wall to have a volume of 330 cubic feet. Give one pair of possible whole-number dimensions for the base.

Answers

Answer:

6 ft

Step-by-step explanation:

1 x 5 x 3 x3 x 3x 3 x 3 x3 x 3 x 3 x3x 3x  3x

i hope it help

Sansa shifted the parabola y = x^2 by 3 units to the right. Which of the following equations corresponds to the resulting graph?
А) y = x2 + 3
B) y = x2 + 9
C) y = x2 + 6x + 9
D)y = x2 - 6x + 9

Answers

Answer:

y = (x - 3)^2

Step-by-step explanation:

The original function is y = x^2.  Its vertex is at (0, 0).  Translating the graph h units to the right results in g(x) = (x - h)^2; h units to the left results in h(x) = (x + h)^2.

In this particular case we have y = x^2 and are translating the graph 3 units to the right.  Thus, the original function y = x^2 becomes y = (x - 3)^2.

Ben wants to have his birthday at the bowling alley with a few of his friends, but he can spend no more than $80. The bowling alley charges a flat feeof $45 for a private party and $5.50 per person for shoe rentals and unlimited bowling. Write an inequality that represents the total cost of Ben’s birthday for p people given his budget.

Answers

Answer:

45+5.50p=80

Step-by-step explanation:

45 is the flat fee and 5.50 is the shoe rental and unlimited bowling, so p is next to that because its 5.50 PER person so if ben had 2 people it would be 5.50 times 2 plus 45. But remember it cannot be over 80. please mark brainliest

the area of a triangle is 36cm squared. give three possible sets of dimensions for the triangle's base and height, explain whether you can also give the side lengths of the triangle​

Answers

Answer:

1.

Set 1: b = 1, h = 72

Set 2: b = 2, h = 36

Set 3: b = 3, h = 24

2. Yes, you can accurately find the length of the sides.

Hope this helps. Have a nice day.

find the values of x and y.​

Answers

X=60 Y=60. Hope this helps

Answer:

x= 60° , y = 60 °

Step-by-step explanation:

x = 60°

y = 60°

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

if you find it useful.

I thought I had $35 in my bank account.
When I checked my balance, I actually
had $75. Aaayyyyeeee!!! What was my
percent error?

Answers

your awnser will be 100 because if

HELPPPPPPPPPPPPPPPP
Don’t do it if u don’t know because this is important and I can’t get a bad grade

Answers

Answer:

it is A hope this helps

Step-by-step explanation:

637m as a fraction of 7.7km

Answers

Answer:

637/7700

Step-by-step explanation:

7.7 km = 7700 m

Write the numbers in order from least to greatest.
43234, 43613, 43128, 43342

Answers

least to greatest: 43128, 43234, 43342, 43613

Answer:

43128, 43234, 43342, 43613

Step-by-step explanation:

yuh

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