Answer:
5 1/3 miles
Step-by-step explanation:
We can use a ratio to solve
8 miles x miles
------------ = --------
3 hours 2 hours
Using cross products
8*2 = 3x
16 = 3x
Divide by 3
16/3 = 3x/3
5 1/3 miles =x
Answer:
(12 2/3)/( 2 1/3)= 38/7 or 5 3/7 or 5.43 decimal
Step-by-step explanation:
Simplify the following:
(12 + 2/3)/(2 + 1/3)
Put 2 + 1/3 over the common denominator 3. 2 + 1/3 = (3×2)/3 + 1/3:
(12 + 2/3)/((3×2)/3 + 1/3)
3×2 = 6:
(12 + 2/3)/(6/3 + 1/3)
6/3 + 1/3 = (6 + 1)/3:
(12 + 2/3)/((6 + 1)/3)
6 + 1 = 7:
(12 + 2/3)/(7/3)
Put 12 + 2/3 over the common denominator 3. 12 + 2/3 = (3×12)/3 + 2/3:
((3×12)/3 + 2/3)/(7/3)
3×12 = 36:
(36/3 + 2/3)/(7/3)
36/3 + 2/3 = (36 + 2)/3:
((36 + 2)/3)/(7/3)
36 + 2 = 38:
(38/3)/(7/3)
Multiply the numerator by the reciprocal of the denominator, (38/3)/(7/3) = 38/3×3/7:
(38×3)/(3×7)
(38×3)/(3×7) = 3/3×38/7 = 38/7:
Answer: 38/7
Answer:
Step-by-step explanation:
I=PRT/100
40=(500XRX2)/100
R=(40X100)/500X2
R=4000/1000
R=4 percent/annum
Answer:
2 x 2 x 2 x 3
Step-by-step explanation:
Find two numbers that multiply together to form 24:
2 x 12 = 24
Find two numbers that multiply together to form 12, a factor of 24. Replace 12 with these numbers:
2 x (2 x 6) = 2 x 12 = 24
Find two numbers that multiply together to form 6, a factor of 12. Replace 6 with these numbers:
2 x (2 x (2 x 3)) = 2 x (2x6) = 2 x 12 = 24
Two and three cannot be factored any further, therefore the prime factors of 24 are 2, 2, 2, and 3.
Answer:
17 tour guides
Step-by-step explanation:
First, we need to divide 83 by 5.
As you can see, there are 16 tour guides that can handle 5 students each. However, there are a remainder of 3 students, so we need one extra tour guide. Thus, the answer is 17 tour guides.