Answer:
The solution to that inequality is (-2,2).
Step-by-step explanation:
Given the inequality |x|<2, we have two possibilities
1) x<2 or
2) -x<2 ⇒ x> -2.
Then the intersection between solutions is (-2, 2).
Let's compare apples to apples and oranges to oranges: convert each given proper fraction into its decimal counterpart:
3 63/80 => 3 .788 approx.
3 1/5 => 3.2
3 11/20 => 3.55
It's now an easy matter to arrange these numbers from least to greatest:
3.2, 3.55, 3.79, or
3 1/5, 3 11/20, 3 63/80
Answer:
Therefore the amount in the 4% savings account = $550
Step-by-step explanation:
i) the total amount = $1500
ii) let the amount placed in the 4% interest savings account = x
iii) let the amount placed in the 5% interest savings account = y
iv) therefore fro i) we can say x + y = 1500
v) the total interest gained = $69.5
vi) therefore we can write 0.04x + 0.05y = 69.50
vii) multiplying equation vi) with 100 we get 4x + 5y = 6950
viii) Multiplying the equation in iv) by 5 we get 5x + 5y = 7500
ix) Subtracting equation in vii) from equation in viii) we get x = $550
x) Therefore the amount in the 4% savings account = $550
The key is Esther travelled the same distance - x - in both her morning and evening commute.
45(time she took in the morning, or p) = x
30(time she took in the evening, or q) = x
Therefore 45(p) = 30(q), or divide both sides by 5 and get 9(p) = 6(q). I know you can divide it further, but these numbers are small enough and it's not worth the time.
Since the whole trip took an hour, (p + q) = 60min, and so, p = 60-q.
Therefore 9(60-q) = 6q or 540-9q = 6q. So 540 = 15q, which makes q = 36. If q = 36, then by (p+q)=60, p (the time she took in the morning) must equal 24.
45 miles per hour, her speed in the morning, times (24/60) hours, her time, makes 18 miles travelled in the morning. If you check, 30 miles per hour times (36/60) hours also makes 18 miles in the evening.
<span>Hope that makes a little sense. And I also hope it's right</span>
It’s B because it’s a primary source because it comes from him
