<span>Total number of problems Nicole will have completed: y
</span><span>Number of nights she studies: x
</span><span>
She has already completed 20 practice problems:
When x=0, y=20
</span>She plans on completing 6 more problems each night:
y=20+6x
y=6x+20
Please, see the attached graph.
Thanks.
Answer: BC = 5.83
Step-by-step explanation:
Luckily, the triangle is placed on the graph nicely so we can count the legs of the triangle:
AB = 5
AC = 3
BC = ?
To find BC, we can simply use the Pythagorean Theorem:

5^2 + 3^2 = c^2
25 + 9 = c^2
34 = c^2
Now square root to find c, or BC.

c = 5.83 (rounded by nearest hundredth)
Represent the unknows with n and d.
Then n+d = 44 (# of coins)
and
$0.05n + $0.10d = $3.10 (value of coins)
Solving the first equation for n, we get n = 44-d. Subst. 44-d for n in the 2nd equation:
0.05(44-d) + 0.10d = 3.10
Then 2.20 - 0.05d + 0.10d = 3.10, or
2.20 + 0.05d = 3.10, or 0.05d = 0.90. Solving for d,
0.90
d = -------- = 18
0.05
There are 18 dimes and 44-18 nickels. How many nickels is that? ;)
Answer:
9 over 5
Step-by-step explanation: