For the complex roots I got 1,2,-3
First, you want to solve for the equation for this problem, would be:
0.05N + 0.10D = 20.50
While N = The amount of nickels, and D = The amount of dimes.
Since N = 164, and D = 123. It would add up to 287 coins. 164 + 123 = 287.
Now that you have the number for those two variables, solve the equation for when N = 164, and D = 123.
0.05N + 0.10D = 20.50
<span>0.05(164) + 0.10(123) = 20.50
</span><span>8.2 + 12.3 = 20.50
</span>20.50 = 20.50
So, there is 164 nickels, and 123 dimes for your answer.
<em>I hope this helps! </em>
<em>~ Notorious Sovereign</em>
Answer:
Step-by-step explanation:
Let's substitute the first equation into the second one.
- Multiply by 
and bring all the terms to one side.
I'll use my graphical calculator to solve this but you could factor:
(All rounded to 2 decimal places)
Now we can substitute these values into an equation for 
.
Flour: 2 3/4 cups = 11/4
11/4 * 2 = 22/4 = 5 2/4 cups
Sugar: 1 1/2 cups = 3/2
3/2 = 6/4 = 1 2/4 cups
1 2/4 * 2 = 3 cups
So it *should* be 8 1/2 cups.
12/30 = 18/45....cross multiply
(30)(18) = (12)(45)
540 = 540...proportional
another way to tell is to see if they are equivalent...because proportions are nothing but equivalent fractions.
12/30 = 2/5
18/45 = 2/5
so yes, they are proportional
