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In a hotel building, the lobby is located at sea-level. The first floor is located 18 feet above the lobby, and the basement is located 22 feet below the lobby.

a. Write an inequality to compare the elevations of the first floor and the basement.

b. What is the distance from the lobby to the basement? Write your answer as an absolute value statement.

c. Which is a greater distance from the lobby: the first or basement? Justify your response.

Answers

Answer 1

9514 1404 393

Answer:

-22 < 0|-22-0| = 22distance to basement is greater

Step-by-step explanation:

a) If we let B, L, F represent the elevations of the basement, lobby, and first floor, respectively, then we have ...

  B = -22

  L = 0

  F = 18

Your inequality could be either of ...

  B < L

  -22 < 0

__

b. We're not sure exactly the form you're looking for. Use whichever absolute value statement is appropriate to your needs.

  distance = |B -L| = |-22 -0| = |-22| = 22

__

c. The distance from the lobby to the first floor is |18 -0| = 18.

The distance from the lobby to the basement is |-22-0| = 22.

The distance 22 is greater than the distance 18, so the distance to the basement is greater.

_____

Additional comment

The difficulty with this question is not figuring out whether -22 is farther from 0 than is +18. The difficulty is in figuring out the form of the answer that is expected. Without looking at your curriculum materials, we cannot even make an appropriate guess.


Related Questions

Chris owes $17,000 to a bank. The debt grows with 8% annual interest that compounds every year. How
much will Chris owe in one year?

A. 18,014
B. 18,242
C. 18,360
D. 18,557

Answers

Answer:

18360

Step-by-step explanation:

A = P (1 + r/n)^(nt)  where A is the amount in the account, P is the principle, r is the interest rate , n is the times compounded per year, t is the number of years

A = 17000 (1 + .08/1)^(1*1)

A = 17000( 1.08)^1

A = 18360

Interest rate=8%

interest

[tex]\\ \rm\longmapsto 17000\times 8\%[/tex]

[tex]\\ \rm\longmapsto 17000\times \dfrac{8}{100}[/tex]

[tex]\\ \rm\longmapsto 170(8)[/tex]

[tex]\\ \rm\longmapsto 1360[/tex]

Total

[tex]\\ \rm\longmapsto 17000+1360=18360[/tex]

Option C is correct

say whether each of these statements about square numbers is always true, sometimes true or never true


a the last digit is 5
b the last digit is 7
c last digit is a square number.
last digit is not 3 or 8​

Answers

Assigning answers to statements about square numbers, whether it is always true, sometimes true or never true:

a the last digit is 5 - sometimes trueb the last digit is 7 - never truec last digit is a square number last digit is not 3 or 8​ - never true

What are square numbers?

The term square numbers refers to numbers which are gotten when an integer multiplies itself. It is also called a perfect square. This number type is important in the field of mathematics and always applied.

Example of perfect squares are 4, 9, 16, 25, 36, 49, 64. 91, 100 and so on.

A perfect square will never have 2, 7, 3, or 8 as the last digit hence we can say that:

a the last digit is 5 - sometimes trueb the last digit is 7 - never truec last digit is a square number last digit is not 3 or 8​ - never true

Read more perfect squares here: https://brainly.com/question/26119721

#SPJ1

The area of a rectangle is 77 yd square, and the length of the rectangle is 3 yd more than twice the width. Find the dimensions of the rectangle.

Length :

Width :

Answers

Answer:

Length = 14 yd

Width = 5.5 yd

Step-by-step explanation:

Let width = x and length = 2x + 3

The formula for area is length x width.

(2x + 3) ( x ) = 77

2x² + 3x - 77 = 0

-77 x 2 = -154

What two numbers multiply to -154 and add to 3?

2x² + 14x - 11x - 77 = 0

2x (x + 7) - 11 (x + 7) = 0

(2x - 11) (x + 7) = 0

x = -7 (this isn't possible so ignore it)

x = 5.5 (width)

Now insert 5.5 into the initial equation.

2 (5.5) + 3 =

11 + 3 = 14

Answer:

Length is 3

width is 25•66

Step-by-step explanation:

Hope it helps!

Thanks.

Tamara rode her bicycle 8 miles in 0.5
hours. What was the average rate that
she rode her bicycle in miles per hour?

pls give me the step by step

Answers

Answer:

16 miles per hour (mph)

Step-by-step explanation:

Okay, so the beginning of the question states that Tamara rode her bicycle 8 miles in 0.5 hours.

0.5 is equivalent to 1/2 (one-half).

This means that she rode 8 miles in just half of an hour (30 minutes).

If she continues at this rate, she will have rode another 8 miles in the next 30 minutes.

And, 8 + 8 = 16.

Therefore, the average rate that she rode her bicycle is 16 miles per hour (mph).

Let me know if you have any questions.

Which of the following is the conjugate of a complex number with 2 as the real part and −4i as the imaginary part? (6 points)

2 − 4i
2 + 4i
−4i − 2
4i − 2

Answers

the answer would be B.

2 + 4i  goodluck !! :))

Answer is B because it makes the most sense

HELP PLEASE!! (Look at the picture)

Answers

9514 1404 393

Answer:

  C.  60%

Step-by-step explanation:

Of the 5 bowls listed, bowls 2 and 4 are out of the allowed tolerance range. That leaves 3 of the 5 bowls that can be used.

  3/5 × 100% = 60% . . . fraction of bowls that can be included

How many angles does this shape have?

Answers

Answer:

6 angles.

Step-by-step explanation:

This shape is a hexagon, since it has 6 sides. And because it has 6 sides, it has 6 vertexes, also known as angles.

Hope this helps!

6 angels sir or ma’am

.
Please help
Add or subtract.

Answers

Answer:

Lt is very easy answer u can't

Answer:

[tex]\frac{1}{x-6}[/tex]

Step-by-step explanation:

[tex]\frac{x}{x^2-2x-24}-\frac{-4}{x^2-2x-24}\\\\\frac{x-(-4)}{x^2-2x-24}\\\\\frac{x+4}{(x+4)(x-6)}\\\\\frac{1}{x-6}[/tex]

HELP HELP HELP HELP HELP
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

2/5

Step-by-step explanation:

you multiply the denominators and numerators so

4 * 1 and 5 *2 leaving you with

4/10

since it says simplify you would just divide by 2 leaving

2/5

multiply the fraction 5/6 to the decimal 2.4

Answers

Answer:

answer is 2. thank you. have a nice day

mr tan is 42 years old and mrs tan is 44 years old now. they have 3 children who are 7 years, 5 years and 2 years old now. in how many year time will the sum of mr and mrs tan's age be 4 times of the sum of their 3 children's age

Answers

Answer:

3 years

Step-by-step explanation:

let the number of years required be x

hence

42+x+44+x = 4(7+x+5+x+2+x)

86+2x = 4(14+3x)

86+2x = 56+12x

2x-12x = 56-86

-10x = -30

x = 3

If point (-3,1) is in the function p(x), which of the following points will be in the function p-|(2)?


PLZ HELP I NEED IT

Answers

Answer:

C

Step-by-step explanation:

for p- prime you just swipe your co-ordinates ...n when swiping them don't change your sign

The point that will be in the function p⁻¹(x) is (1,-3), the correct option is C.

What is a Function?

A function is a law that relates a dependent and an independent variable.

The function p(x) has point (-3, 1 )

An inverse of the function is obtained by interchanging the value of y and x, then solving the equation for y in terms of x

The point that will be in the inverse function of (x,y) is (y,x)

(-3,1) -----> ( 1,-3)

To know more about Function

https://brainly.com/question/12431044

#SPJ5

Help Help Help Help Help Help

Answers

Answer:

what happened are you OK

2/5 over 2/3, I don't understand

Answers

Answer:

it basically means 2/5 divided by 2/3. The answer comes out to approximately 1.067

Step-by-step explanation:

In other words  (2÷5) ÷ (2÷3)

Hope that answers your question!

2x − 6y + 3x2 + 7y − 14x

3x2 + 12x + y
3x2 − 12x − y
3x2 − 12x + y
3x2 − 12x − 13y

Answers

Answer:

C. 3x²-12x+y

Step-by-step explanation:

2x − 6y + 3x² + 7y − 14x =

3x²+2x-14x-6y+7y =

3x²-12x+y

x = ??? What is x?? Solve for x

Answers

Answer:

x= 11

Step-by-step explanation:

4x-8 = 3x+3 (those angles are corresponding angles so they are equal to each other)

4x-3x =3+8

x =11

X would equal to 11.
4x - 8 = 3x + 3
We know this since they are corresponding angles.
1X = 8 + 3
8 + 3 = 11 therefore that is the answer.
Hope this helps, please like :)

Give the degree of the polynomial.

Answers

Answer:

7

Step-by-step explanation:

pretty sure its seven

47.16 to the nearest tenth​

Answers

Answer:

47.2

Step-by-step explanation:

Find the solution for
h - 12 =6

Answers

Answer:

H-12=6

H−12+12=6+12

h=18

Answer:

h=18

Step-by-step explanation:

h-12=6

is the normal eqaution, you need to determine the value of h, on the left side of the eqaution you have negative twelve we must get the h on its own by moving the 12 to the right side using of basic math rules you must know that when you have a negative and want to move it to the right hand side it must become a positive

so in formula it wil look like this

h = 6 + 12

Add up 6 with 12 that wil give you 18

so the value of h is then 18

h = 18

BRAINLEST IF CORRECT!!!!

Answers

x=5
because right angle is 90 degrees

Answer: x = 5

Step-by-step explanation:

Given information

The combined angle is a right angle meaning it is 90°

Angle 1 = 8x°

Angle 2 = 50°

Set equation

Angle 1 + Angle 2 = Total angle

Substitute values into the equation

8x + 50 = 90

Subtract 50 on both sides

8x + 50 - 50 = 90 - 50

8x = 40

Divide 8 on both sides

8x / 8 = 40 / 8

x = 5

Hope this helps!! :)

Please let me know if you have any questions

A rare disease exists with which only 2 in 1000 isaffected. There is a test for the disease that a correct positive result (patientactually has the disease) occurs95%of the time while a false positive result(patient does not have the disease) occurs1%of the time.a) What is the prior distribution of the disease and the posterior distributionof the disease given the positive result?b) Is the test good? Explain that counter-intuitive result.

Answers

Answer:

the test is good since it is right 98 percent of the time an if the test is wrong you can just take it again

un móvil a recorrido 2,4 km en 10 minutos hallar la velocidad del móvil en metros por segundo

Answers

Answer:

4.16 m/s

Step-by-step explanation:

Speed = Distance/Time

           = 10/2.4

           = 4.16 m/s

Janice is building a model volcano for the science fair. To find the right ratio, she starts by mixing small amounts of baking soda and vinegar. She finds that adding 1.5 teaspoons of baking soda for every fluid ounce of vinegar produces the best eruption. If Janice plans to us 0.5 cups of vinegar for her project, how many tablespoons of baking soda should she use?​

Answers

Answer:

6 tablespoons of baking soda

Step-by-step explanation:

There are 8 fluid ounces in 1 cup and shes going to use half a cup so that means shes going to use 4 fluid ounces of vinegar. To find how much baking soda she is going to use, we are going to multiply.

1.5 * 4 = 6

Best of Luck!

Answer:

3 Tablespoons, 6 teaspoons

Step-by-step explanation:

In order to find the right ratio of Baking Soda to Vinegar we have to find ratio given,... they tell us that for every 1.5 teaspoon of baking soda, you must add 1 fluid ounce or vinegar,... thus the ratio of Baking Soda to Vinegar is (1.5 teaspoon / 1 Fluid ounce)

There are:

3 teaspoons = 1 Tablespoons

8 fluid ounces = 1 cup

So if you use 0.5 cups of Vinegar as they tell us we do than that is the same thing as using 4 Fluid ounce, and because your problem say 1.5 teaspoon of baking soda for every Fluid ounce of vinegar all you have to do it multiply your 1.5t by your 4 to get how many teaspoons of Baking Soda you will need,...

1.5 * 4 = 6

You need 6 teaspoons or 3 Tablespoons,...

Hope that helps,... and I'll see you in life,... well not, literally, but you get what I mean,... Chow!

Please help me with my homework.

Answers

Answer:

-3x + 6

Step-by-step explanation:

-3(x - 2) to find the equivalent of this expression, we need to multiply inside the parenthesis with -3 (with both x and -2)

-3(x - 2 = -3x + 6 (two negative expressions multiplied results in positive)

6abc2 + 6a2bc


A=1
B=2
C= -3

Answers

[tex]\\ \rm\longmapsto 6abc^2+6a^2bc[/tex]

[tex]\\ \rm\longmapsto 6(1)(2)(-3)^2+6(1)^2(2)(-3)[/tex]

[tex]\\ \rm\longmapsto 12(9)+6(-6)[/tex]

[tex]\\ \rm\longmapsto 108-36[/tex]

[tex]\\ \rm\longmapsto 72[/tex]

The answer to this equation is 72

Comparing Values Compare the values of the underlined digits. 1. The 4 in 3,492 and the 4 in 704

Answers

9514 1404 393

Answer:

  4 in 3492 is 100 times 4 in 704

Step-by-step explanation:

To find the value of a particular digit, set the other digits to zero.

  4 in 3492 = 400

  4 in 704 = 4

The first 4 is 100 times the value of the second 4.

When the sum of the internal angles of a polygon is 10 right angles, then  how many sides does it have? ​

Answers

Answer:

7

Step-by-step explanation:

Let's say our sum is s.

s = 10 right angles

a right angle is 90 degrees

s = 10 (90)

s= 900

Given the amount of sides in a polygon (n), the sum of the interior angles is equal to

(n-2) * 180

Therefore, the sum of the interior angles is equal to

(n-2) * 180 = 900

divide both sides by 180 to help isolate n

n-2 = 5

add 2 to both sides to isolate n

n = 7

What is 3/10 as a decimal?

Answers

Answer:

[tex]0.3[/tex]

Step-by-step explanation:

[tex]3 \div 10 = 0.3[/tex]

Answer: 0.3

Step-by-step explanation:

please help i added 39 points :) but i dont understand this so yeah

Answers

Answer:

3 - 5 - 7 - 11 - 12

Step-by-step explanation:

Given data:

3, 5, 5, 6, 6, 8, 9, 11, 11, 12

The 5-number summary is:

Q1 = minimum of data = 3Q2 = median of lower half = 5Q3 = median of data = (6 + 8)/2 = 7Q4 = median of upper half = 11Q5 = maximum of data = 12

Find (f o g)(x)
Consider f(x) = x + 7 and g(x) = x2 –1

Answers

Answer:  x^2 + 6

Work Shown:

(f o g)(x) = f(g(x))

f(x) = x + 7

f( g(x) ) = g(x) + 7 ... replace every x with g(x)

f( g(x) ) = x^2-1 + 7 .... plug in g(x) = x^2-1

f( g(x) ) = x^2 + 6

(f o g)(x) = x^2 + 6

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