Solve 5 problems from monday and show work.

1. Three cakes

2. 2,108

3. 53.59

4. 16

5. 7/21 = 1/? (The missing number is 3)

12/72 = 2/? (The missing number is 12)

Step-by-step explanation:

1. Given,

Cassie has 1/2 (half = 0.5) pound of sugar.

A cake will take 2/10 = 0.20 pounds of sugar.

According to the question,

0.20 pound of sugar can be used to produce 1 cake

1 pound of sugar can be used to produce 1/0.20 cake

0.50 pound of sugar can be used to produce (1/0.20)*0.50 cake

=2.5 cake (or, Approximately three cakes)

2. Given,

Dividend = 67,473

Divisor = 32

Therefore, Quotient = Dividend/Divisor

Quotient = 67,473/32

32| 67,473 | 2108

     64            

       34

       32          

         27

           0        

          273

          256    

            17

Therefore, Quotient = 2,108 and the reminder = 17

3. 65.39 - 11.8

= 53.59

The difference formula is to deduct the 1st number from 2nd number. The answer is 53.59

4. The full form of L.C.M is least common multiple. To find out the L.C.M of any given data set, we have to make those numbers into their prime factors;

4 = 2 x 2

16 = 2 x 2 x 2 x 2

As L.C.M is the highest possible values. It means the prime number is taken from that particular number where the prime number is more. Here, as 16 creates four 2 multiples where 4 creates two 2 multiples, therefore, the L.C.M of 4 and 16 will be = 2 x 2 x 2 x 2 = 16.

5. 7/21 = 1/? and 12/72 = 2/?

First expression, 7/21 = 1/?

We know, to determine the missing value for a fraction, we need to use the following formula -

Fourth number = (2nd number x 3rd number)/1st number

Here,

1st number = 7

2nd number = 21

3rd number = 1

Therefore, Missing or fourth number = (21*1)/7 = 3

> 12/72 = 2/?

For the 2nd expression,

Fourth number = (2nd number x 3rd number)/1st number

Given,

1st number = 12

2nd number = 72

3rd number = 2

Fourth or missing number = (72*2)/12 = 12

Therefore, the missing number of 1st equation = 3

The missing number of 2nd equation = 12.

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional