How to change 50/12 to a mixed number?

Answers

Answer 1
Answer: A mixed number is one that has an integer along with a proper fraction, so that would be (for this improper fraction):

50/12 = 4 1/6

12 goes into 50, 4 times with a remainder of 2

you get: 4 and 2/12, but 2/12 can be reduced further to 1/6

so that's how i got the answer of 4 1/6

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What is (24 times 25)50 50=?

Answers

the answer to this is 600

How many solutions does the system have?

{y=−3x+5
{y=x^2−3x+5

Answers

Hello here is a solution :
y= -3x+5  ...(1)
y = x² -3x+5 ... ( 2 ) 
-3x+5 = x² -3x+5
x² =0
x=0
y= -3(0)+5 = 5
the system have one solution (0;5)

The radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder with water. The radius of the cone's base is 5 centimeters, and its height is 10 centimeters.The number of times one needs to use the completely filled cone to completely fill the cylinder with water is.....

Answers

Answer:

24 times.

Step-by-step explanation:

Since, the volume of a cone,

V=(1)/(3)\pi r^2 h

While, the volume of a cylinder,

V=\pi r^2 h

Where, r = radius,

h = height,

Thus, the volume of the cone having radius 5 cm and height 10 cm,

V_1=(1)/(3)\pi (5)^2(10)

And, the volume of the cylinder having radius 10 cm, and 20 cm,

V_2=\pi (10)^2 (20)

Hence, the number of times we need to use cone to completely fill the cylinder = (V_2)/(V_1)

=(\pi (10)^2 (20))/((1)/(3)\pi (5)^2(10))

=(2000)/(250/3)

=(6000)/(250)

=24

Im like 90% sure that your answer should be 2.

Suppose you place 16 green, 25 blue, and 9 yellow marbles in a non-transparent bag. you then randomize the marbles by shaking them up thoroughly. assume you then randomly select two marbles from the bag without replacement. what is the probability of selecting two blue marbles?

Answers

Answer: (12)/(49)

Step-by-step explanation:

16 green + 25 blue + 9 yellow = 50 Total

First pick: 25 blue out of 50 total = (25)/(50) = (1)/(2)

Second Pick: 24 blue out of 49 total = (24)/(49)


First Pick    AND    Second Pick

       (1)/(2)           x                (24)/(49)   =        (24)/((2)49)      = (12)/(49)

Which of the following options is a better purchase for a bicycle? Option 1: A cash sale for $88 Option 2: $5 down with equal payments of $8 for 10 weeks
Option 3: $12 down with equal payments of $5 for 12 months
Option 4: $20 down with equal payments of $20 for 12 months

(A.) Option 3
B. Option 1
C. Option 2
D. Option 4

Answers

Answer:

Option 3

Explanation:

To get the value of the cheapest bike, best option, we will calculate the total cost of each bike:

i- Option 1:

Total cost = $88

ii- Option 2:

$5 down payment and $8 per week for 10 weeks

Total cost = 5 + 8(10) = 5 + 80 = $85

iii- Option 3:

$12 down payment and $5 per month for 12 months

Total cost = 12 + 5(12) = 12 + 60 = $72

iv- Option 4:

$20 down payment and $20 per month for 12 months

Total cost = 20 + 20(12) = 20 + 240 = $260

Now, from the above calculations, we can conclude that:

The best price would be that of option 3 ($72). It is the lowest price compared to other option.

Hope this helps :)

Answer:

The answer is option 3

Step-by-step explanation:

One number is six times another number. Their difference is 35. What are the two numbers?

Answers

Answer:

The two numbers are: 42 and 7

Step-by-step explanation:

let x be the one number and y be the other number..

As per the statement:

One number is six times another number. Their difference is 35.

x = 6y               .....[1]

and

x -y = 35               .....[2]

Substitute equation [1] into [2] we get;

6y-y = 35

Combine like terms;

5y = 35

Divide both sides by 5 we get;

y = 7

Substitute the value of y =7 in [1] we get;

x = 6(7) = 42

Therefore, the two numbers are: 42 and 7

7x6=42. 7+35=42. The numbers are 7 and 42.