Mathematics College

In Randy's town all stand alone store front signs must be exactly 8 feet high. When mounted atop a pole , the combined height of the sign and pole must be less than 20 feet or greater than 35 feet so that they dont interfere with the power and phone lines. Write a compound Inequality to represent the possible above ground height of the pole.

Answers

Answer 1

Answer:

[tex]x<12[/tex] or [tex]x > 27[/tex]

Step-by-step explanation:

Given

[tex]Lower\ Bound = 20[/tex]

[tex]Upper\ Bound = 35[/tex]

[tex]Height = 8[/tex]

Required

Represent as a compound inequality

Let the pole height be x:

So, the combine height of the pole and the sign is [tex]x + 8[/tex]

The height must be less than 20ft.

So, we have:

[tex]x + 8 < 20[/tex]

Subtract 8 from both sides

[tex]x + 8 - 8 < 20 - 8[/tex]

[tex]x < 20 - 8[/tex]

[tex]x<12[/tex]

or The height must be less than35ft

So, we have:

[tex]x + 8 > 35[/tex]

Subtract 8 from both sides

[tex]x + 8 - 8 > 35 - 8[/tex]

[tex]x > 35 - 8[/tex]

[tex]x > 27[/tex]

So, the compound inequality is:

[tex]x<12[/tex] or [tex]x > 27[/tex]

Related Questions

Please help me solve this

Answers

Answer:

60

Step-by-step explanation:

Set up an algebraic equation

360= 2a+ 2a+ a + a

360= 6a

60= a

Since the sum of the angles is 360, they can be added together.

An auditorium has 962 seats. There are 37 rows, each with the same number of seats. How many seats are in each row?

Answers

Answer:

26 seats in each row.

Step-by-step explanation:

Is Sue´s answer correct? if not, why?

Answers

She distributed corrected.
She simplified correctly.
The solution is indeed none

Solution: Sue is correct

whats is y= 2x-7 graphed

Answers

Answer:

Step-by-step explanation:

Start with a point at -7 on the y axis, and move up 2 right one repeatedly and keep making points. Then, connect them and you'll have your line.

Slope: 2
y-intercept: (0, -7)

the local water slides have 70 employees, of which 10% are temporary. how many temporary employees are there?

Answers

Answer:

7 employees

Step-by-step explanation:

Given that 10% are temporary .

So number of temporary employees will be 10% of 70 employees = 7employees ( Answer)

What is the exact value of cos7pi/12

Answers

(sqrt2 - sqrt6)/4 = - 0.259

cos ((7pi)/12) = cos 105 = - 0.259

Answer:

D. sprt2 - sqrt6/4

Step-by-step explanation:

If you mean the answer for edg that's what it is.

Hope that helps

Tanner's employer pays 60% of his medical insurance. If the insurance costs $40
per week. How much Tanner and his employer pay for the entire year?

Answers

Answer:

Tanner's employer pays $1251.43 a year and tanner pays $834.29

Step-by-step explanation:

PLS HURRY I ll mark brainliest
Describe each as below sea level, at sea level, or above sea level.

Death Valley sits at an elevation of –282 feet.

The elevation of Mount Whitney is 14,494 feet.

The elevation of the Singapore Strait is 0 feet.

Answers

Answer:

Step-by-step explanation:death below ocean

Mount above

Singapore above

Step-by-step explanation:

A negative altitude is below sea level.

A positive altitude is above sea level.

An elevation of zero is at sea level.

Death Valley sits at an elevation of –282 feet.  negative: below sea level

The elevation of Mount Whitney is 14,494 feet.  positive: above sea level

The elevation of the Singapore Strait is 0 feet. zero: at sea level

Given that R= 6x + 5y
Find y when x = 8 and R =20
Give your answer as an improper fraction in its simplest form​

Answers

Answer:

-28/5=y

Step-by-step explanation:

20=6(8)+5y

20=48+5y

-28=5y

-28/5=y

6x4 as repeated addition

Answers

Answer:

6+ 6+6+6

or

4+4+4+4+4+4

Step-by-step explanation:

6 (4 times)

4 (6times)

(brainlist please):D

Answer:

6+6+6+6   or 4+4+4+4+4+4

Step-by-step explanation:

You can add them out

8.3 + 3.4y - 0.5 (12y - 7)

Answers

Answer:

-2.6y + 11.8

Step-by-step explanation:

Distribute -0.5 into 12y and -7 to get to this equation, 8.3 + 3.4y - 6y + 3.5.  Combine the two like terms together to get your answer which is -2.6y + 11.8.

For #4 is that the correct answer I just want to know before I submit it

Answers

The answer is 3 1/4 which is last choice

Solve this pls. Thank you

Answers

Answer:

which one????????????????????

2.-7(4 - X) *
(1 Point)
-28 + 7x
4- 7x
28 - 7x

Answers

Answer:

-28 + 7x

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Step-by-step explanation:

Step 1: Define

-7(4 - x)

Step 2: Simplify

Distribute -7:                       -7(4) - 7(-x)Multiply:                              -28 + 7x

What calculation is modeled on the number line?
Answer ASAP will give brainliest 55 points too plzz

Answers

the answer is C ,, can yu give me 55 points .

the correct answer is c !! hope this helps

Please I need help I mark brainless!! The population of a certain city increased by 18,000 people.
Write a signed number to represent this population change.

Answers

Answer:

+18,000

Step-by-step explanation:

Answer:

population of a certain city is increased by 10,000 people. write

a signed number to represent this population change.

a car corporation produced 920 fewer cars this month than last. write a signed number to represent this months change in production

Step-by-step explanation:

The admission fee to an amusement park is $21. It costs an additional p dollars to rent a locker to hold your
belongings. The total cost for 5 people to enter the amusement park and each rent a locker is $130. How
much does it cost for one person to rent a locker?

A. $7
B. $2
C. $5
D. $26

Answers

Answer:

26

Step-by-step explanation:

please help i m clusless

Answers

Answer:

-25+? = -5

cross -5 over and it the negative sign would turn to postive sign

-25+(5)=?

Therefore answer = 20

To confirm this answer

-25+20= -5

Answer: (1) 20 (2) -15 (3) -10

Explanation:
I know it’s late but hope this helps! ^^

Biking burns on average 185 calories every
thirty minutes.

Answers

Answer:

1 hour = 185 x 2 = 370

2 hours = 185 x 4 = 740

3 1/2 hours = 185 x 7 = 1,295

5 hours = 185 x 10 = 1,850

Answer:

Step-by-step explanation:

moneyhbyfgrciylqdw awrfckejghvuord;tuo5

Shannon has 3 more purple beads than yellow beads. Which equation represents Shannon’s beads?

Answers

Answer:

p = y+3

Step-by-step explanation:

Peaches are on sale at $0.95 per pound. Mrs. Hinkle bought 3.45 pounds of peaches. How much did she pay for the peaches?

Answers

Answer:

$3.2775

Step-by-step explanation:

0.95 x 3.45 = 3.2775

Answer:

$3.27

Step-by-step explanation:

An ant bed contains about 230 ants. If there are 6 of these beds on the playground, how many ants are there?​

Answers

Multiply number of ants per bed by number of beds.

230 ants x 6 beds = 1,380 total ants

the answer I got was 1,380

The math clubs car can travel 9 meters in a second. The race track for the soap box derby is 63 meters long. How many seconds will it take the Math clubs car to make it around the track

Answers

Answer: it will take 7 seconds

Step-by-step explanation: 9 x 7 = 63

Alisa programs her robot to make two moves on a line.
Positive numbers move the robot forward and negative
numbers move the robot backwards. First, it moves
117 cm. Then, it moves - 241 cm. what is the position of the robot relative to its start position
ANSWER ASAP PLSSS

Answers

117-241=-124
You need to have the same difference from the starting point for both numbers.

1.Tara buys 6 cakes, each costing 23p. How much will they cost?

2. She pays with a £5 note. How much change will she get?
pls answer!!!

Answers

Answer:

£ 3.62

Step-by-step explanation:

Cost of 6 cakes = 6 * 23

                          = 138 p

                          = £ 1. 38

Balance money = 5 - 1.38

                          = £ 3.62

i thinks it is 3.62 i believe

How much is a medium pizza and garlic bread?

Answers

Answer:

$10.10

Step-by-step explanation:

$7.50 + $2.60 = $10.10

1.9t-5 simplify using commutative property

Pls help lolll

Answers

Answer:

There is nothing to be further simplified. It is how you wrote it. Let me know if it was a mistake I'll edit my answer.

Step-by-step explanation:

Elyse's cell phone plan allowes up to 8 GB of data each month. She received an alert that she used 95% of her Data. How much data does she have left​

Answers

Answer:

She has 400 megabytes left

Step-by-step explanation:

A person on a moving sidewalk travels 12 feet in 4 seconds. The moving sidewalk has a length of 120 feet. How long will it take to move from one end to the other?

Answers

Answer:

40 seconds

Step-by-step explanation:

120/12 = 10

10*4 = 40

THEREFORE 40 seconds to walk 120 feet at that speed

Write this multiplication expression using an exponent: 2 . 2 . 2 = ?

Answers

Answer:2^3

Step-by-step explanation:

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