First convert the distance to miles
<span>9.5 × 10^12 km x 0.62 miles/km </span>
<span>= (0.62 × 9.5) x 10^12 miles </span>
<span>= 5.9 × 10^12 miles </span>
<span> we want to triple that, because it is 3 light years (not just 1): </span>
<span>3 x 5.9 × 10^12 miles </span>
<span>≈ 18 × 10^12 miles </span>
<span>≈ 1.8 × 10^13 miles </span>
<span>Next divide by the speed to get the time (in hours). </span>
<span>t = 1.8 × 10^13 miles / 17000 miles/hour </span>
<span>convert the speed to scientific notation: </span>
<span>t = 1.8 × 10^13 / 1.7 x 10^4 </span>
<span>t = (1.8 / 1.7) × (10^13 / 10^4) <-- when dividing powers with the same base, subtract the exponents </span>
<span>t ≈ 1.1 × 10^9 </span>
<span>convert that back to standard notation. </span>
<span>Answer: </span>
<span>1,100,000,000 hours (P.S. That is about 120,000 years).
Hope this helps!!!</span>
Answer:
-1, -4, 2, 4
Step-by-step explanation:
The are ascending
Eg. the first loan is x, the second loan will be (9,000 - x)
First, we need to make an equation based on the problem
first interest + second interest = 492
5% of x + 6% of (9,000 - x) = 492
<em>This is the equation</em>
Second, solve the equation and find out the value of x (first loan)
0.05x + 0.06(9.000 - x) = 492
0.05x + 540 - 0.06x = 492
-0.01x + 540 = 492
-0.01x = 492 - 540
-0.01x = -48
x = -48/-0.01
x = 4,800
Third, find the second loan
9,000 - x
= 9,000 - 4,800
= 4,200
SUMMARY
The first loan that has interest of 5% is $4,800
The second loan that has interest of 6% is $4,200
Answer: 7.5 gallons
Step-by-step explanation:
1. You divide 15 by two
You divide it the inequalties and multiply the equations to get you answer
