Answer:
4) 91.75
Step-by-step explanation:
7x+20+9x-4=180
16x=164
x=10.25
7(10.25)+20=
71.75+20=91.75
So megan is four years younger than her aunt
m+4=a
or
m=a-4
the sum of their ages is at least 40
m+a<u>></u>40
subsitute a-4 for m
a-4+a<u /><u>></u>40
combine like terms
2a-4<u>></u>40
the answer is the third from the top
The correct answer is: [A]: " x + 2y = -11 " .
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Explanation:
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First, we narrow down to choices:
[A]: "x + 2y = -11 ; and: [D]: "2x + y = -10 " ;
since these are the only answer choices that the point "(-3, -4) pass through.
Now, write these in "slope-intercept form" (a.k.a. "point-slope form"); that is:
y = mx + b ;
and see which one has the slope of "(-1/2)" (i.e. "m = -1/2") ;
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Start with Answer choice [A]: "x + 2y = -11 " ;
↔ 2y + x = -11 ;
Subtract "x" from each side:
2y + x − x = -11 − x ;
to get: 2y = -11 − x ;
↔ 2y = -11 + (-x) ;
↔ 2y = -x + (-11) ;
↔ 2y = -1x − 11 ;
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Divide EACH SIDE of the equation by "2" ;
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2y / 2 = (-1x − 11) / 2 ;
to get: y = (-1/2)x − (11/2).
So: Answer choice: [A]: should be the correct answer .
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Let us try Answer choice: [D] ; just to rule out this possible answer:
" 2x + y = -10 " ;
↔ y + 2x = -10 ;
Subtract "2x" from EACH SIDE of the equation ;
y + 2x − 2x = -10 − 2x ;
y = -10 − 2x ;
↔ y = -10 + (-2x) ;
↔ y = -2x + (-10) ;
↔ y = -2x − 10 ;
The slope of: Answer choice [D]: is "-2" ; NOT "(-1/2)".
So; we confirm that: Answer choice: [D]: is INCORRECT.
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So the correct answer is: Answer choice: [A]: " x + 2y = -11 " .
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The slope is the line that describes the direction and steepness of a line.
Answer:a)0.001
b) males=1.
Females = 1
c) 0.9
d) 4×10^-5
e)0.045
Step-by-step explanation:a) crude death= Number of death/Number of individuals = 1000/100000= 0.001
b)sex specific death rate= numbered deaths of males/ number of deaths of males= 600/600= 1
c)case specific = 45/50=0.9
d)cause specific= Number of people dying from lung cancer/number of people with disease=45/100000=4×10^-5
e) pmr= number of deaths from specific disease÷total number of death=45/1000=0.045
