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Ivan
3 years ago
13

What is 21 1/4% expressed as a fraction?

Mathematics
1 answer:
Neporo4naja [7]3 years ago
8 0

Answer:

\frac{17}{80}

Step-by-step explanation:

we have

21\frac{1}{4}\%

Convert mixed number to an improper fraction

21\frac{1}{4}=21+\frac{1}{4}=\frac{21*4+1}{4}=\frac{85}{4}

so

21\frac{1}{4}\%=\frac{85}{4}\%

Convert percent number as a fraction

\frac{85}{4}\%=\frac{85}{4}:100=\frac{85}{4*100}=\frac{85}{400}

Simplify

Divide by 5 both numerator and denominator

\frac{17}{80}

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How many times does 12 go into 122
zhuklara [117]
12 goes into 122 10 times
6 0
3 years ago
Show the work please
Neporo4naja [7]
False, False, True
**********
The first is false since the square root of 19 is 4 and 4/7 is not a whole number

The second is false since the square root of 40 is 6.32 which is less than 7

The last is true because the square root of 30 is 5.48 and that makes the fraction equal 3.65 which again is a whole number while 2/3 is not
3 0
3 years ago
a car left town A at 10:00 am and travelled towards town B at the average speed of 70 km/h. At the same time a truck left town B
Softa [21]
The important formula to this problem is distance=rate(time) or d=rt

Now, the speed of the car is 70 km/h, and the speed of the truck is 50 km/h. It will take the two vehicles the same amount of time to meet since they both left at the same time. So, since distance equals rate times time, and t = time:

the distance of the car = 70t
the distance of the truck = 50t

Because they both left in opposite directions, and the towns are 420 kilometers apart, the equation for this would be

70t+50t=420

We now solve the equation.

70t+50t=420 \\ 120t=420 \\  \frac{120t}{120}= \frac{420}{120}  \\ t=3 \frac{1}{2}

It will take the vehicles 3 and a half hours to meet. Since we're looking for the time, 3 and a half hours from 10:00 AM is 1:30 PM.

So, the car and the truck will pass each other at 1:30 PM.
8 0
3 years ago
A chord is 10cm from the centre of a circle of radius 15cm. Find the length of the chord.
almond37 [142]

Answer: 21.44 cm

Step-by-step explanation:

Given

Radius r=15 cm

distance of chord from the center is 10 cm

From the figure, the length of the chord is AC

Applying Pythagoras

\Rightarrow AO^2=OB^2+AB^2\\\Rightarrow AB^2=15^2-10^2\\\Rightarrow AB^2=225-100=115\\\Rightarrow AB=\sqrt{115}=10.72\ cm

The length of the chord is AC=2AB=21.44\ cm

5 0
3 years ago
The Tire on franks bike moves 75 inches in one rotation. How many rotations will the tire have made after frank rides 50 feet
Sladkaya [172]
You have to convert 50 feet to inches, so you take 50 times 12 and get 600. Then, you take 600/75 to get the number of rotations. Your final answer shold be 8 rotations.
4 0
2 years ago
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