14=-2(2x+1)
14=-4x-2
+2. +2
16=-4x
--- ---
16. 16
-4=x
The best way to compare fractions would be to make them have like
denominators. We first , in this case, need to convert from decimal to
fraction.
Converting decimals to fractions first requires an
understanding of the decimal places that fall after the decimal. One
place after the decimal is the tenths place. If you have a decimal that
ends at one place after the decimal (or in the tenths place) it can be
written as the number after the decimal in the top of the fraction and
ten (tenths place) in the denominator. ex. .5 ends one place after
the decimal and can be written as 5/10...(read as five tenths).
If a decimal ends at two places after the decimal...(ex. .75)...it
ends in the hundredths place, can be written as that number in the
numerator and 100 in the denominator....(ex 75/100) and is read as
seventy-five hundredths.
one place after the decimal is tenths (over 10), two places is
hundredths (over 100), three places is thousandths (over 1000) , four
places ten-thousandths (over 10000) and so on.
Because each decimal in your problem has a different amount of
decimal places, it makes for different denominators. But, We can add a
zero to the end of a decimal without changing it's value; if we add a
zero to the end of .5 and make it .50 , we then can write it as 50/100
and would now have like denominators.
if .5 = .50 = 50/100 and .75 = 75/100
we now have the question what fractions can fall between 50/100 and 75/100.
That would be fractions such as 51/100, 52/100, 53/100.......74/100.
Answer: 2.618 radians
Step-by-step explanation:
Answer:
1) 32/5
2) 19/8
3) 34/7
4) 25/3
How to do this
You take the denominator (the number on the bottom), multiply it by the whole number (like in 1, 5*6=30) then add the numerator (the top number) (so 30+2) then add on top of the denominator before you changed anything (32/5)
Answer:
1 hour
Step-by-step explanation:
The speed ratio is ...
... truck : car = 1 : 1.5
Then the ratio of truck speed to the sum of their speeds is ...
... truck : combined = 1 : (1+1.5) = 1 : 2.5
Since time is inversely proportional to speed, the two vehicles will meet after 1/2.5 times the time the truck takes to cover the distance. That is ...
... (2.5 hours)/2.5 = 1 hour
_____
The truck speed is 145 mi/(2.5 h) = 58 mi/h.
The car speed is 1.5 × 58 mi/h = 87 mi/h.
Their combined speed is 58 + 87 = 145 . . . . mi/h.
So, they will cover the 145 mile distance in 1 hour.
