Your answer is 39/13 miles per hour
Answer:
Monica paid $171 while Rachel paid $207
Step-by-step explanation:
We are told that Monic and Rachel purchased a tv for $378.
Let the amount spent by Monica be X and the amount spent by Rachel be Y.
Thus;
x + y = 378 - - - - (eq 1)
We are told that Monica paid $36 less then Rachel. Thus;
y = x + 36
Or y - x = 36 - - - (eq 2)
Add eq 1 & eq 2 together to give;
2y = 378 + 36
2y = 414
y = 414/2
y = $207
Put 207 for x in eq 1 to get;
x + 207 = 378
x = 378 - 207
x = $171
Thus;
Monica paid $171 while Rachel paid $207
2 1/24
Rewriting our equation with parts separated
2/3+1+3/8
Solving the fraction parts
2/3+3/8=?
Find the LCD of 2/3 and 3/8 and rewrite to solve with the equivalent fractions.
LCD = 24
16/24+9/24=25/24
Simplifying the fraction part, 25/24,
25/24=1 1/24
Combining the whole and fraction parts
1+1+1/24=2 1/24
Answer:
4.41 feet per second.
Step-by-step explanation:
Please find the attachment.
We have been given that a man flies a kite at a height of 16 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. We are asked to find how fast must he let out the string when the kite is flying on 34 ft. of string.
We will use Pythagoras theorem to solve for the length of side x as:



Now, we will use Pythagorean theorem to relate x and y because we know that the vertical side (16) is always constant.

Let us find derivative of our equation with respect to time (t) using power rule and chain rule as:

We have been given that
,
and
.





Therefore, the man must let out the string at a rate of 4.41 feet per second.