Answer:
(b) 2.175 miles to 2.185 miles
Step-by-step explanation:
When a value is rounded, the original "exact" value is presumed to be within 1/2 of the value of one least-significant unit of the rounded number.
<h3>Application</h3>
A rounded value of 2.18 has a least-significant digit with a place value of 0.01 units. Half that value is the "margin of error". That is, the range of numbers that would be rounded to 2.18 is ...
2.18-0.005 ≤ x < 2.18+0.005
2.175 ≤ x < 2.185 . . . . miles
Keep your mom, you only have one. But anyway;
Use the Pythagorean Theorem: A^2 + B^2 = C^2
12^2 + 21^2 = C^2
144 + 441 = C^2
585 = C^2
square root of 585 = approximately 24.2
Answer:
3 hours
Step-by-step explanation:
Given that:
Time taken by Kalon = 4 hours
Time taken by Marna =?
Time taken if the work together = 1 5/7 hours
Kalon's rate = 1/ time =. 1/4
Kalon + Marna = 1 ÷ 1 5/7 = 7/12
Hence,
Marna's rate = 7/12 - 1/4
Marna's Rate = (7 - 3) / 12 = 4/12 = 1/3
Marna's rate = 1/3
Hence, time it takes Marna = reciprocal of rate = 1÷ 1/3 = 1 * 3/1 = 3 hours
Answer:
60 guests
Step-by-step explanation:
We'll say that the number of guests is n.
We're looking for the n where both of these expressions are equal:
Company A (500 set-up fee, 25 for each guest)
500 + 25 * n
Company B (200 set-up fee, 30 for each guest)
200 + 30 * n
500 + 25n = 200 + 30n
Subtract 200 from both sides.
300 + 25n = 30n
Subtract 25n from both sides.
300 = 5n
We'll reverse the sides.
5n = 300
Divide both sides by 5.
n = 300/5 = 60
Thus, both companies are equal when n is 60, or when there are 60 guests.
