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marysya [2.9K]
3 years ago
14

Kerille is reading a book at the rate of 4.5 pages per minute. What ordered pair on a graph of his reading rate would represent

the number of minutes it will take him to read 90 pages?
Mathematics
1 answer:
viva [34]3 years ago
5 0
This is a linear equation y = mx, where:
m= slope or reading rate:
x = the number of minutes
y = the number of pages read.

So the equation becomes: y = 4.5.x
How many minutes it will take to read 90 pages (y):
90 = 4.5.x    or x = 90/4.5  and x = 20 minutes
So the ordered pair will be (20,90)



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Example. (1,-4)

You go over one.

Down 4

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A microgram is equal to 2.3 x 10 grams. How many times greater than a microgram is
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One of the roots of the quadratic equation 4mnx^2 – 6m^2x – 6n^2x + 9mn = 0 (m, n ≠ 0) is a)-3m/2n b)3m/2n c)2m/3n d)-2m/3n
maxonik [38]

Answer:

B.\ \frac{3m}{2n}

Step-by-step explanation:

Given

4mnx^2 - 6m^2x - 6n^2x + 9mn = 0\ (m, n \neq  0)

Required

Calculate one of the root of the equation

4mnx^2 - 6m^2x - 6n^2x + 9mn = 0

Factorize

2mx(2nx - 3m) -3n(2nx - 3m) = 0

(2mx - 3n)(2nx - 3m) = 0

Split equation

2mx - 3n = 0\ or\ 2nx - 3m = 0

Make x the subject of formula in both expressions

2mx = 3n\ or\ 2nx = 3m

x = \frac{3n}{2m}\ or\ x = \frac{3m}{2n}

<em>From the list of given options, one of the roots of the equation is</em> \frac{3m}{2n}

4 0
3 years ago
Janet wanted to understand whether grade level had any relationship to their opinion on extending the school day. She surveyed s
konstantin123 [22]
Grade       In Favor     Opposed     Undecided          Total
9                 4                   2                    8                   14
10               7                  11                   8                    26
11               14                 15                  9                    38
12               11                 5                    10                  26
Total           36                 33                   35                 104

Above is a partial sum chart that will help us in our quest.

P(Grade 9 | opposed)
The probability of Grade 9, given opposed, is the portion of opposed students that are in grade 9. 
Total number opposed: 33
Number opposed in Grade 9: 2
P(Grade 9 | opposed) = 2 / 33 = 0.06

P(opposed | Grade 9)
Total Number Grade 9: 14
Number opposed in Grade 9: 2
P(opposed | Grade 9) = 2 / 14 = 0.14
6 0
3 years ago
Read 2 more answers
What’s the slope, y-intercept, and equation of this line??
egoroff_w [7]

Answer:

Slope: 0.03

Y-intercept: 750

Equation of a line: y = 0.03x + 750

Step-by-step explanation:

See attached photo

5 0
3 years ago
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