Wendy is arranging books on the bookshelves in the school library. The total number of books she arranges is given by the equation b = 12r, where b is the total number of books and r is the number of rows. Each row contains the same number of books.If Wendy arranged 16 rows, she arranged a total of
books.

Answers

Answer 1
Answer: Given:
b = 12r 
where:
b =  represents the total number of books
12 = number of books per row
r = number of rows

If Wendy arranged 16 rows, she arranged a total of ___ books.

b = 12r
b = 12(16)
b = 192 total number of books arranged.
Answer 2
Answer: you would do 16x12 which is 192


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How many terms are present in the expression (2 + 5 + 8)?

Answers

3 terms are present in your equation: 2,5,8

Answer:

3.3.3.3.33.3.33.3.3.3

Step-by-step explanation:

3

ASAP someone help; Assume people around a table could only reach 1.5m. Calculate the area that could be reached. Show your working

Answers

Given:
Circle radius = 2.75 m
People's reach = 1.5m

Get the area of the circle.
A = π r² ⇒ 3.14 * (2.75m)² ⇒ 3.14 * 7.5625m² = 23.75 m²

Get the area of the inner circle:
r = 2.75 m - 1.5 m = 1.25 m

A = 3.14 * (1.25m)² ⇒ 3.14 * 1.5625 m² = 4.91 m² 

Subtract the area of the inner circle from the total area to get the area that people can reach.

A = 23.75 m² - 4.91 m² = 18.84 m²

If a thermometer indicates 30 degrees Celsius, what is the temperature in degrees Fahrenheit?A. 24°F
B. 17°F
C. 54°F
D. 86°F

Answers

If a thermometer indicates 30 degrees Celsius, the temperature in degrees Fahrenheit is 86°F.

Boiling water measures 100 degrees in Celsius, and 212 degrees in Fahrenheit. Freezing water measure 0 degrees in Celsius, and 32 degrees in Fahrenheit. 

So, if you want to convert Celsius into Fahrenheit, you will need to:
Multiply by 180/100
Add 32

Let's convert 30 degrees Celsius into Fahrenheit.
30 
* 180/100 = 54
54 + 32 = 86

PLEASE HELP IT IS URGENT FOR GEOMETRY DO NOT WASTE ANSWERS WILL MARK BRAINLIEST

Answers

Answer:

Angle 4 = 145

Step-by-step explanation:

Angle 1 = 180-92 = 88

Angle 2 = 180-123 = 57

Angle 3 = 180 - (88+57) = 35

Angle 4 = 180-35 = 145

How do you factor this equation? 5x^2-36x-81

Answers

ANSWER: THERE ARE TWO SOLUTIONS TO GET THE ANSWER

THE FIRST ONE IS FACTOR BY GROUPING AND THE SECOND SOLUTION IS SOLVING USING THE QUADRATIC FORMULA.

STEP BY STEP SOLUTION:

FACTOR BY GROUPING

(5x +9) (x -9)

WRITE IN STANDARD FORM

5x^2 - 36x -81

SOLVE USING THE QUADRATIC FORMULA

Solve the equation for x by finding a,b, and c of the quadratic then applying the quadratic formula.

X= 9, -9/5

I HOPE IT HELP YOU :)

A radio tower is located on a coordinate system measured in miles. The range of a signal in a particular direction is modeled by a quadratic function where the boundary of the signal starts at the vertex at (4, 2). It passes through the point (5, 4). A linear road connects points (–3, 7) and (8, 2). Which system of equations can be used to determine whether the road intersects the boundary of the tower’s signal?

Answers

Given that the range of the signal is a quadratic function: (x-h)^2 = 4a (y - k) (5-4)^2 = 4a (4 - 2) 4a =1/2 therefore, (x -4)^2 = (1/2)(y – 2) The road is a line. Slope of the road is (7 -2)/(-3 -8) =-5/11 Therefore the equation of the line: 5x + 11y = 5(8) + 11(2) 5x + 11y = 62

The system of equations can be used to determine whether the road intersects the boundary of the tower’s signal; y = 2( x - 4 )² + 2 and 5 x + 11 y = 62.

What is the vertex form of a quadratic equation?

If a quadratic equation is written in the form

y = a(x-h)^2 + k

then it is called to be in vertex form.

It is called so because when you plot this equation's graph, you will see the vertex point is on (h,k).

To determine a quadratic function in vertex form:

y = a ( x - 4 )² + 2

4 = a ( 5 - 4 )² + 2

4 = a + 2

a = 2

y = 2 ( x - 4 )² + 2

Then we will determine a linear function in standard form, that passes through the points ( -3, 7 ) and ( 8, 2 ).

7 = -3 m + b

2 = 8 m + b   / ·(-1)

7 = - 3 m + b

- 2 = - 8 m - b

5 = - 11 m

m = -5/11,              

2 = -5/11 · 8 + b,        

b= 2 + 40/11,    

b = 62/11

Substitue,

y = - 5/11 x + 62/11  /  ·11

11 y = - 5 x + 62

5 x + 11 y = 62

Finally the system of equations is:

y = 2( x - 4 )² + 2

5 x + 11 y = 62

Learn more about vertex form of a quadratic equation here:

brainly.com/question/9912128

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