Answer:
x = 9.17 (nearest hundredth)
The variable x is the amount the student needs to save each month in addition to his usual saved amount of $20.
Step-by-step explanation:
350 = 12(x + 20)
Multiply out brackets: 350 = 12x + 240
Subtract 240 from both sides: 110 = 12x
Divide both sides by 12: 9 1/6 = x
x = 9.17 (nearest hundredth)
The variable x is the amount the student needs to save each month in addition to his usual saved amount of $20.
Answer:
1/2
Step-by-step explanation:
1/4 (4x - 8) + 3x =0
distribute the 1/4
x-2+3x=0
combine like terms
-2+4x=0
move -2 to the other side [by ADDing +2 to each side
4x=2
divide [by 4 on both sides]
x=1/2
Answer:
740
Step-by-step explanation:
The n th term of an arithmetic series is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then
a₁ + 2d = 7 → (1)
a₁ + 6d = 23 → (2)
Subtract (1) from (2) term by term
4d = 16 ( divide both sides by 4 )
d = 4
Substitute d = 4 into (1)
a₁ + 2(4) = 7
a₁ + 8 = 7 ( subtract 8 from both sides )
a₁ = - 1
The sum to n terms of an arithmetic series is
= 
[ 2a₁ + (n - 1)d ] , thus
= 
[ (2 × - 1) + (19 × 4) ]
= 10(- 2 + 76) = 10 × 74 = 740
9/11 is rounded to 1. It rounds up because 9 is higher than 5, which is the middle of 11.
