Answer:
Step-by-step explanation:
- Number of dimes = d, each d = 10 c
- Number of quarters = q, each q = 25 c
- Total = $2 = 200 c
<u>Equations according the given:</u>
<u>Solve for q by substitution:</u>
- 10(q + 6) + 25q = 200
- 10q + 60 + 25q = 200
- 35q = 140
- q = 140/35
- q = 4
<u>Find the value of d:</u>
Nathaniel has 10 dimes and 4 quarters
To estimate this question, you can round the numbers to be compatible, to make it easier for yourself. The numbers should be able to be divided cleanly, as this is an estimate, not the actual problem solving. You could, for example, round 341 to 300, and 28 to 30, and divide them to get 10.
Hope that helped.
The difference between the 26 mile trip and 38 mile trip is 12 miles.
The difference in the price is $3.00 ($65.50 - $62.50)
So those 12 miles cost $3.00 $3.00÷12 = $.25 per mile
We can use either given trip to solve. I will use the 38 mile trip.
The difference between 38 miles and 54 miles is 16 miles. At $.25 a mile those 16 miles will add $4.00 to the price. ($.25 x 16 = $4.00)
Since the 38 mile trip costs $65.50 we add $4.00 and get $69.50 for a 54 mile trip.
A and c are true ! I hope this helps
<h3>
Answer: x = 4</h3>
==================================================
Explanation:
Replace f(x) with 0 and solve for x.
f(x) = 3x-12
0 = 3x-12
3x-12 = 0
3x = 12
x = 12/3
x = 4 is a zero, aka root, of the function
---------------
Check:
f(x) = 3x-12
f(4) = 3(4)-12
f(4) = 12-12
f(4) = 0
The answer is confirmed.
