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mestny [16]
2 years ago
11

Monica reads a 7 1/2 pages of a mystery book in 9 minutes. What is her average reading rate in pages per minute?

Mathematics
2 answers:
zaharov [31]2 years ago
7 0

Answer: 5/6 pages per minute

Explanation:

1.) set up problem

7 1/2 ÷ 9

2.) make 7 1/2 an improper fraction by multiplying 7 by the denominator of 1/2 and adding it to the numerator

15/2 ÷ 9

3.) flip the division sign to a multiplication sign and set a 1 over 9

15/2 • 1/9

4.) multiply

15/28

5.) simplify

5/6

mrs_skeptik [129]2 years ago
6 0

Answer:

7.5 pages/9 mins

=(5/6) pages/minute

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Write the standard equation for the circle 30. Center (2,7), r=4. 31. Center (-6,-8), that passes treough (0,0)
Salsk061 [2.6K]
The standard equation of the circle is:

(x-h)^2+(y-k)^2=r^2 where (h,k) it the center of the circle and r is the radius...

so

30.

(x-2)^2+(y-7)^2=16

31.

We need to find the radius...(I'll just use the Pythagorean Theorem)

r^2=6^2+8^2

r^2=36+64

r^2=100  (so the radius is 10) and its center is (-6,-8) so

(x+6)^2+(y+8)^2=100
3 0
3 years ago
WORTH BRAINLIST!!!!!!
Sladkaya [172]

Sum : (5 x+1)

Term : 1, 5x and 3y

Product : 9(5x+1),5x and 3y

Factor : 5 and x, 3 and y, 9 and 5x+1

Quotient : \frac{9(5x+1)}{3y}

Coefficient : 5 is the coefficient of x and 3 is the coefficient of y.

Explanation:

The expression is \frac{9(5x+1)}{3y}

Sum: Sum is the result of addition of terms.

Thus, from the expression,

Sum = (5 x+1)

Term : A term is a single number or a variable or a number multiplied with a variable.

Thus, from the expression,

Term = 1, 5x and 3y

Product : Product is the result of multiplication of numbers.

Thus, from the expression,

Product = 9(5x+1),5x and 3y

Factor : The numbers that are multiplied is called a factor.

Thus, from the expression,

Factor = 5 and x, 3 and y, 9 and 5x+1

Quotient : Quotient is the result of dividing two numbers or variables.

Thus, the given whole expression is a quotient.

Hence, Quotient = \frac{9(5x+1)}{3y}

Coefficient : Coefficient of a variable is a number multiplied with a variable.

Thus, from the expression,

Coefficient : 5 is the coefficient of x and 3 is the coefficient of y.

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3 years ago
What is slope and how do you find it??
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the formula for slope is

\frac{(y2-y1)}{(x2-x1)}

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3 years ago
PQRS has vertices P(0, 0), Q(4, 2), and S(4, ␣2). Its diagonals intersect at H(4, 0). What are the possible coordinates of R for
True [87]
Any point on the x-axis beyond the point (4, 0) is a possible cordinate of R.
8 0
2 years ago
A set X consists of all real numbers greater than or equal to 1. Use set-builder notation to define X.
vitfil [10]

Theory:

The standard form of set-builder notation is <span>
 
{ x | “x satisfies a condition” } </span>

This set-builder notation can be read as “the set of all x such that x (satisfies the condition)”.

For example, { x | x > 0 }  is equivalent to “the set of all x such that x is greater than 0”.

 

Solution:

In the problem, there are 2 conditions that must be satisfied:

<span>1st: x must be a real number</span>

In the notation, this is written as “x ε R”. Where ε means that x is “a member of” and R means “Real number”

 

<span>2nd: x is greater than or equal to 1</span>

This is written as “x ≥ 1”

 

Answer:

Combining the 2 conditions into the set-builder notation:

<span>X = { x | x ε R and x ≥ 1 } </span>
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