Answer:
a = -4.
Step-by-step explanation:
25(√5)^a * (√5) ^3 = 5√5
25*5^a/2 * 5^3/2 = 5*5^1/2
25*5^a/2 = 5*5^1/2 / 5^3/2
25*5^a/2 = 5^1 *5^1/2 / 5^3/2
25*5^a/2 = 5^3/2 / 5^3/2 = 1
5^a/2 = 1/25 = 5^-2
The bases are equal, so
a/2 = -2
a = -4.
Answer:
30
Step-by-step explanation:
1 inch / 12 miles = 2.5 inch / x Cross multiply
1*x = 12 * 2.5 Combine
x = 30 miles
Answer:
0.86
Step-by-step explanation:
Rounding rules.
4 and below, round down.
5 and above, round up.
We are going to look at the thousandths place to round to the hundredths place.
0.857 -> 0.86
Best of Luck!
The horse traveled 439.6 feet after walking around the track 5 times
<u><em>Solution:</em></u>
Given that, horse walks around a circular track while its trainer stands in the center
The trainer is 14 feet from the horse at all times
Therefore, radius of circular track = 14 feet
The circumference of circle is the distance traveled by horse for 1 lap
<em><u>The circumference of circle is given as:</u></em>
Where, "r" is the radius and 
is a constant equal to 3.14
Thus the distance traveled by horse for one time in circular track is 87.92 feet
<em><u>About how far had the horse traveled after walking around the track 5 times? </u></em>
Multiply the circumference by 5
Thus the horse traveled 439.6 feet after walking around the track 5 times
The problem does not clearly give us the distance from Buffalo to Chicago, so let this be x (in mile) just so I can show you how the total cost is solved.
The total cost is equal to the sum of the rental fee plus the cost of the additional fee per mile which is equal to 1.50x, and also of the cost of the gasoline which is equal to (x/16)(2.15). Thus, the final answer should be expressed as,
total cost = 29.95 + 1.5x + 2.15x/16
When the distance is available, this should be easily substituted in the equation above.
