Answer: 3/4 feet
Step-by-step explanation:Conversion a mixed number 3 5/
12
to a improper fraction: 3 5/12 = 3 5/
12
= 3 · 12 + 5/
12
= 36 + 5/
12
= 41/
12
To find new numerator:
a) Multiply the whole number 3 by the denominator 12. Whole number 3 equally 3 * 12/
12
= 36/
12
b) Add the answer from previous step 36 to the numerator 5. New numerator is 36 + 5 = 41
c) Write a previous answer (new numerator 41) over the denominator 12.
Three and five twelfths is forty-one twelfths
Conversion a mixed number 2 2/
3
to a improper fraction: 2 2/3 = 2 2/
3
= 2 · 3 + 2/
3
= 6 + 2/
3
= 8/
3
To find new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/
3
= 6/
3
b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8
c) Write a previous answer (new numerator 8) over the denominator 3.
Two and two thirds is eight thirds
Subtract: 41/
12
- 8/
3
= 41/
12
- 8 · 4/
3 · 4
= 41/
12
- 32/
12
= 41 - 32/
12
= 9/
12
= 3 · 3/
3 · 4
= 3/
4
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(12, 3) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 12 × 3 = 36. In the next intermediate step , cancel by a common factor of 3 gives 3/
4
.
Answer:
73.77 ft/s
Step-by-step explanation:
Let's imagine this situation as a right triangle where the distance between the two points is the hypotenuse.
-Applying Pythagoras theorem:

#Take the derivative of the first equation and solve for
:

#We then substitute the values given in the question to solve for
:

Hence, the rate of change of the distance between the motorcycle and the balloon 7 seconds later is 73.77 ft/s
<span>The answer is $4,955.30</span>
Paige is ahead of kate. It dosen't say she is behind anyone or last in the line. Carlos is not first in line. Kate cannot be first because someone is ahead of her. And lisa is last. So the answer is definitely paige. Hope i helped. Have a nice day.