Answer:
expanded notation form:
6,383 =
6,000
+ 300
+ 80
+ 3
expanded factors form:
6,383 =
6 × 1,000
+ 3 × 100
+ 8 × 10
+ 3 × 1
expanded exponential form:
6,383 =
6 × 103
+ 3 × 102
+ 8 × 101
+ 3 × 100
Step-by-step explanation:
i wasn't entirely sure what you needed but i hope this helps :) have a great day !!
The greater it's absolute value is
Because all the digits are the same, each digit is worth 10x the one to its right and 1/10 of the one to its left.
This is because we count in base 10. This is also why we can expand this number to become
9*10^6+ 9*10^5+ 9*10^4+ 9*10^3+ 9*10^2+ 9*10^1 +9*10^0.
Hope this helps!
We're measuring a quantity of pure detergent.
We start with 11 gallons of an 18% solution. 18% of that, or 1.98 gallons, is pure detergent, and the rest of these 11 gal. is water: 9.02 gal. We will add x gallons of water to this solution to obtain (11+x) gallons of a 12% solution.
We need to find x to satisfy this equation:
(11 gallons + x)(0.12) = (11 gallons)(0.18)
Div. both sides by 0.12, we get (11 gallons + x) = (11 gallons)(1.5)
Mult. both sides by 10, we get 110 gallons + 10x = (11 gallons)(15)
Then 10x = 165 gallons - 110 gallons, or 55 gallons.
Div. both sides by 10, we get x = 5.5 gallons (answer)
Answer:
4250 km
Step-by-step explanation:
If we convert 25/6 into a mixed fraction, we get 4 1/6. Since we already know the plane goes for four hours already, we can multiply 1020 km x 4. That would give us 4080. Now that we converted the equation into a mixed fraction, we also know that the plane goes for an extra 1/6 hour. We divide 1020/6 because it is a sixth of an hour and the plane can travel 1020 in an hour. We get 170 km for 1/6 of an hour.
4080km + 170km= 4250 km
