What is 16/5 into a mixed number

2 answers:

8 0

16/5 is called an improper fraction -- the numerator is larger than the denominator. You can convert this to a mixed number; a whole number and a proper fraction.<span>To convert, realize that a fraction can be thought of as division, so we divide 16 by 5. 5 goes into 16 3 times with a remainder of 1. So you cna think of 16/5 as 15/5+1/5. ((3*5)/5+1/5 )</span>

dlinn [17]3 years ago

6 0

In front of you, you see 16/5. So, try long division.divide 16 by 5. find the largest number which multiplies by 5 to give another number which is the largest multiple of 5 but this time less than 16. and this number is 3, which multiplies by 5 to give you 15.3 x 5=15, 15 is smaller than 16, so move ahead.3 is your number so write it down separately. then now you have your 15 with you. next, you subtract your 15 from your 16. you are left with 1. the remainder is 1. all you need to do is write 3, then 1 above a denominator which will always be the same denominator from the improper fraction(16/5)your answer is 3 1/5.Now, cross check, change your mixed fraction to improper fraction. you do this by multiplying your whole number(3) by the denominator of the fraction(5)you get 15 and then quickly add the numerator to it(1)you get 16. now for your improper one just put 16 above the denominator of the mixed fraction(5)<span>16/5....tadda, your answer is correct.</span>

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If a sports car is traveling at 95 miles per hour, how long would it take the sports car to overtake a family car traveling at 3

levacccp [35]

Distance = speed * time
d = st

The sports car travels d distance for t time at speed, s, 95 mph until it overtakes the family
car.
The equation for the sports car is
d = 95t

The family car travels the same distance, d, but since it left 4.5 hours earlier than the sports car, it travels for t + 4.5 time until it is overtaken. It travels at speed, 35 mph.
The equation for the family car is
d = 35(t + 4.5)

We solve the two equations as a system of equations.

d = 95t
d = 35(t + 4.5)

Since d = d, set the right sides of the equations above equal to each other.

95t = 35(t + 4.5)

95t = 35t + 157.5

60t = 157.5

t = 2.625

The answer is 2.625 hours, or 2 hours, 37 minutes, and 30 seconds.

Check:
In 2.625 hours, the sports car travels: 95 mph * 2.625 h = 249.375 miles
The family car traveled 2.625 hours plus the extra 4.5 hours, or 7.125 hours.
In 7.125 hours, the family car travels 35 mph * 7.125 h = 249.375 miles.
The cars have traveled the same distance 2.625 hours after the sports car left, so our answer is correct.

3 0

3 years ago

I’ll give the Brainliest to who answers this question with a reasonable explanation.

topjm [15]

Answer:

$143.8\:\mathrm{ft^2}$

Step-by-step explanation:

The composite figure shown in the picture consists of a semi-circle and a trapezoid. We can even break this trapezoid into a rectangle and two triangles for even simpler calculations. We can find the total area of the figure by simply adding the total area of the shapes we will break the figure into:

Area of semi-circle (half the area of a circle): $\frac{1}{2}\cdot 4.5^2\cdot \pi$