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 :
To find the product of

First we expand the bracket ,
it implies that, we use the expression outside the bracket to multiply individual expressions inside the bracket.
Hence


we now apply the law of indices

meaning, when you are multiplying two expressions with the same bases , repeat one of the bases and add the exponents.
Then, simplify to obtain
I got letter A when I tried it
The distributive property is used to get the equivalent expression
Step-by-step explanation:
The properties on mathematical expressions are used to simplify or elaborate the expressions.
One of the propoerties is distributive properties
The distributive property states that:
Let a, b and c be three integers then
a(b+c) = ab+ac
The property can be used both ways
In given expression
18+6

The distributive property is used to get the equivalent expression
Keywords: Properties
Learn more about properties at:
#LearnwithBrainly
Answer:
The equation of the line normal to the curve of y=cos1/3x, where x=pi is y= 2√3 x - 10.38
Step-by-step explanation:
The equation of the normal to the curve is
Y- y1 = - 1/m (x- x1)
Where m is the gradient.
See attached picture for the complete solution.