The difference is 6. Each number increases by 6 in the sequence.
2 + 6 = 8
8 + 6 = 14
14 + 6 = 20
20 + 6 = 26
Etc.
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Let number of fives = x then number of ones = 3x and number of tens = x - 1
so we can create the equation
x + 3x + x-1 + y = 26 where y = number of twenties
so
5x + y = 27
also we have the equation
5x + 3x + 10(x - 1) + 20y = 120
18x + 20y = 130..................................(1)
5x + y = 27 multiply by -20:-
-100x - 20y = -540..............................(2)
Adding equation (1) and (2)
-82x = -410
x = 5, that is 5 fives
Now plug x = 5 into equation 1:-
18(5) + 20y = 130
20y = 40
y = 2 , that is 2 twenties
So the answer is there are (3x) = 15 ones , 5 fives, 4 tens and 2 twenties
to convert a fraction to a decimal, like say a/b is really simply the quotient of a ÷ b.
now, let's first convert the mixed fraction to improper, and then do the division.
![\bf \stackrel{mixed}{5\frac{5}{16}}\implies \cfrac{5\cdot 16+5}{16}\implies \stackrel{improper}{\cfrac{85}{16}}\\\\[-0.35em] \rule{31em}{0.25pt}\\\\ \cfrac{85}{16}\implies 85\div 16\implies 5.3125](https://tex.z-dn.net/?f=%20%5Cbf%20%5Cstackrel%7Bmixed%7D%7B5%5Cfrac%7B5%7D%7B16%7D%7D%5Cimplies%20%5Ccfrac%7B5%5Ccdot%2016%2B5%7D%7B16%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B85%7D%7B16%7D%7D%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B31em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Ccfrac%7B85%7D%7B16%7D%5Cimplies%2085%5Cdiv%2016%5Cimplies%205.3125%20)
Answer:
10^2 is exponent so do it first - 100
100/4=25
25x3=75
75
Parentheses
Exponents
Multiply - Multiply and Divide are interchangeable
Divide
Add - Adding and subtracting are interchangeable
Subtract
Step-by-step explanation:
