Answer:
259+k=x
Step-by-step explanation:
x= total number of miles
Answer:
Step-by-step explanation:
Ab+ac=a(b+c) or
ba+ca=a(b+c)
c(m-n)+d(m-n)=(m-n)(c+d)
Answer:
a = 4,
b = 12
c = 10
d = 15
Step-by-step explanation:
Since the product of each column is equal, therefore,
b*5 = 60
b = 60 ÷ 5 = 12
c*6 = 60
c = 60 ÷ 6 = 10
Since the sum of each column are equal, therefore,
12 + 10 + a = 5 + 6 + d
22 + a = 11 + d
Think of a number you can add to 22, and another number you can add to 11, which will make both sides equal. Add both numbers, whenmultiplied together should give you 60.
Factors of 60 are:
(a, d)
(1, 60) => 22 + a = 11 + d => 22+1 = 11+60 (incorrect)
(2, 30) => 22 + a = 11 + d => 22+2 = 11+30 (incorrect)
(3, 20) => 22 + a = 11 + d => 22+3 = 21+20 (incorrect)
(4, 15) => 22 + a = 11 + d => 22+4 = 11+15 => 26 = 26 [CORRECT]
(5, 12) => 22 + a = 11 + d => 22+5 = 11+12 (incorrect)
(6, 10) => 22 + a = 11 + d => 22+6 = 11+10 (incorrect)
Therefore,
a = 4,
d = 15
Answer:a) 1,2,6,24,120
Step-by-step explanation:
The formula for the nth term of the sequence is expressed as
n=(n+1)!/n+1
For the first term, n = 1. Therefore,
(1+1)!/(1+1) = 2!/2 = (2×1)/2 = 1
For the second tern, n = 2. Therefore,
(2+1)!/2+1 = 3! /3 = (3×2×1)/3 = 6/3 = 2
For the third term, n = 3, therefore
(3+1)!/3+1 = 4!/4 =(4×3×2×1)/4 = 6
For the fourth term, n = 4. Therefore
(4+1)!/4+1 = 5!/5 = (5×4×3×2×1)/5 = 24
For the fifth term, n = 5. Therefore
(5+1)!/5+1 = 6!/6 = 6× 5×4×3×2×1)/6 = 120