Answer:
a = 3
b = 4
Step-by-step explanation:
Simultaneous equation
3a = 2b + 1
3a - 2b = 1 ------------------(I)
3b = 5a - 3
-5a + 3b = -3 --------------(II)
Multiply equation (I) by 3 & equation (II) by 2 and then add. So, now 'b' will be eliminated and we can find the value of 'a'.
(I)*3 9a - 6b = 3
(II)*2 <u>-10a + 6b = -6</u> {Now add}
-a = -3
a = -3/(-1)
Plugin a = 3 in equation (I)
3*3 - 2b = 1
9 - 2b = 1
-2b = 1 - 9 {Subtracting 9 from both sides}
-2b = - 8
b = (-8)/(-2) {Dividing both sides by (-2_}
This is the correct answer
Answer:
A. 4·10⁴
Step-by-step explanation:
The problem statement tells you ...
6×10⁵ miles = 15 × (last year's mileage)
Dividing by 15 gives ...
(60×10⁴ miles)/15 = (last year's mileage) = 4×10⁴ miles
_____
<em>Further explanation</em>
An exponent is an indication of repeated multiplication.
10⁵ = 10·10·10·10·10 = 100,000
We can use the associative property of multiplication to rewrite the number of miles:
6×10⁵ = 6·(10·10·10·10·10) = 600,000 = (6·10)·(10·10·10·10) = 60×10⁴
Looks confusing in the way you put it.
Step-by-step explanation:
When you divide by a number, you basically are multiplying by the reciprocal
The reciprocal of 2 is 1/2
4/10 ÷ 2 = 4/10 × 1/2 = 2/10
4/10 × 1/2 = 2/10
Using a number line,
Start at 4/10 and move down by 2 until you reach 0
Start at 4/10 and move up by 1/2 from 0 until you reach 4/10
(Count the number of humps)
Both will be the same
