Answer:
Nina's rate in miles per hour is 2.7 miles/hour
Nina bikes faster
Step-by-step explanation:
we know that
1 hour=3,600 seconds
1 mile=5,280 feet
<em>Convert feet to miles</em>
63,360 feet=63,360/5,280=12 miles
Convert seconds to hours
3,400 sec=3,400/3,600=0.94 hours
Find Nina's rate in miles per hour
12/0.94=12.7 miles/hour
Sophia's rate in miles per hour is 10 miles/hour
Compare the rates
12.7 miles/hour > 10 miles/hour
therefore
Nina bikes faster
Answer:
96°
Step-by-step explanation:
Answer:
Im not sure ok
Step-by-step explanation:
Im trying to solve too
Answer:
See below.
Step-by-step explanation:
So we have the equation:
On the right, factor out an x:
Divide both sides by (2+6z). The right will cancel:
And we're done!
To answer we let x be the amount of money that Sam invested during the first year.
Below are the expressions translated from the given word forms for the amount invested.
Sam:
2nd year : amount = 5x/2 - 2000
3rd year : amount = x/5 + 1000
The sum of money invested by Sam is:
x + (5x/2 - 2000) + (x/5 + 1000)
Similarly, we derive the expressions that we use for the amount that Sally invested.
Sally
1st year : amount = 3x/2 - 1000
2nd year : amount = 2x - 1500
3rd year : amount = x/4 + 1400
The total amount that Sally invested is,
total = (3x/2 - 1000) + (2x - 1500) + (x/4 + 1400)
Equating the two equations:
(x) + (5x/2 - 2000) + (x/5 + 1000) = (3x/2 - 1000) + (2x - 1500) + (x/4 + 1400)
Solving for x,
x = 2000
For Sally's investment in the third year:
amount = x/4 + 1400 = (2000/4 + 1400) = 1900
ANSWERS:
Sam's first year = $2000
Sally's third year = $1900
