The recommended heart rate for weight management exercise and improving cardio fitness, in beats per minute, depend on a persons
1 answer:
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a) The fraction of women is
b) The fraction of men is
Step-by-step explanation:
a)
In this part of the problem, we are asked to find what fraction of the prize winners are women.
We have:
(number of prizes awarded to women)
(number of prizes awarded to men)
First of all, we calculate the total number of prizes awarded:
Now we find the fraction of prize winners who were women, which is given by:
And we can simplify by dividing both numerators and denominators by 2,
b)
The total number of prizes awarded is
The number of prizes assigned to men is
Therefore, the fraction of prize winners who were men is
where we simplified the fraction by dividing both the numerator and the denominator by 2.
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Answer:
Step-by-step explanation:
7x-26<-5(2-3x)
first write out the equation
7x-26<-10 +15x
then solve the -5(2-3x)
by multiplying -5 by 2 and -5 by 3x which will give the answer -10 and 15x
7x-15x<-10+26
Now put the numbers with X first and since we moved the (+15x) into the otherside we change its sign to (-15x)
and because we put the (-26) into the otherside we do the same thing and change it into (+26)
-8x<16
Now we combine the same numbers so 7x-15x and -10+26
Next we divide both sides by (-8)
so (-8x÷-8) and (16÷-8)
and because we divided with a negative number (-8)
and we have an inequality( < ) we flip the sign from smaller than to greater than.
and so the final answer is x>2
or x is greater than 2