Answer:
54 minutes
Step-by-step explanation:
We can write a proportion to solve this problem. Put the number of pages over the minutes
27 pages 324 pages
-------------- = ---------------
4.5 minutes x minutes
Using cross products
27 * x = 324 * 4.5
27x = 1458
Divide each side by 27
27x/27 = 1458/27
x =54
Given:
<span>11 11.5 10.5 17 14.5 14.5 18 17 19
Arrange in chronological order from least to greatest.
10.5 ; 11 ; 11.5 ; 14.5 ; 14.5 ; 17 ; 17 ; 18 ; 19
</span><span>I used an online lower and upper fence calculator to get the necessary data.
Minimum: 10.5
Maximum: 19
Q1: 11.25
Q2 or median: 14.5
Q3: 17.5
Interquartile range can be solved by subtracting the value of Q1 from the value of Q3
IQR = Q3 - Q1
IQR = 17.5 - 11.25
IQR = 6.25 CHOICE A. </span>
Jim is 19
let fathers age be x then mothers age = x - 5 and Jim's age is 
(x - 5)
Total their ages and equate to 100
x + x - 5 + (x - 5 ) = 100
multiply through by 2 to eliminate the fraction
2x + 2x - 10 + x - 5 = 200
5x - 15 = 200 ( add 15 to both sides )
5x = 215 ( divide both sides by 5 )
x = 43
father is 43 years, mother is 38 and Jim is 19
the value of b is = 10.
The equation of a hyperbola is x^2/24^2 - y^2/ (10)^2= 1.
<h3>What is hyperbola?</h3>
The geometric characteristics of a hyperbola or the equations for which it is the solution set characterize it as a particular kind of smooth curve that lies in a plane. Mirror reflections of each other that resemble two infinite bows make up a hyperbola's two connected components or branches.
<h3>What is the general formula for hyperbola?</h3>
The general formula for hyperbola = (x - h)²/a²- (y - k)²/(b)² = 1
<h3>According to the given information:</h3>
x²/24 - y²/(b)² = 1
(x - 0)²/24 - (y -0)²/(b)² = 1
a=24,h=0 and k=0
Now equation of the directrix
x=a²/c...(1)
and we know x=576/26...(2)
Therefore from 1 and 2 we get
24²/c=576/26.
isolate the c so we get,
C=26
C= center of focii
c = √(a² + b³)
c² = a² + b²
b = c² - a²
b = 10
So we get the value of b is 10.
Therefore the equation of a hyperbola is x²/24² - y²/ (10)² = 1.
To know more about Hyperbola visit:
brainly.com/question/12919612
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Answer:
D
Step-by-step explanation:
-3y=18
divide each side by -3
y=-6
I hope this is correct and have a great day
