Answer:
The jar has 32 dimes and 18 quarters
Step-by-step explanation:
<u>To solve this problem we can create a system of linear equations in terms of two-variables (say </u>
<u> and </u>
<u>) and solve it.</u> To begin let us analyze the problem further. We know that the values of each coin type are:
Dimes (
) = $0.10
Quarters(
) = $0.25
Total Value = $7.70
Total Coins = 50
Now let us set up our system of equations as:
Eqn.(1)
Eqn.(2)
Lets take Eqn.(2) and rerrange it to solve for
as:
Eqn.(3)
Now lets plug this, in Eqn.(1) so we get the value of
as:


Plugging in
back in Eqn.(3) we finally have:

Thus we conclude that in the jar the coins are:
Dimes (
) 
Quarters(
) 
A² + √6² = 6² , √30² + √6² = 6² , 30 + 6 = 36 , the answer is B
Subtract the 2 on both sides to get -4x=-5x+7, then add -5 on both sides and get 1x=7 then divide 1 on both side to get x=7
Answer:
The rate of change of f(x) with respect to x is 1/4
Step-by-step explanation:
What this question simply ask is to find the slope of the line that passes through the two points
to find this, we use the slope equation
we have this as;
m= (y2-y1)/(x2-x1)
(x1,y1) = ((-15,-3)
(x2,y2) = (-7,-1)
m = (-1 + 3)/(-7 + 15) = 2/8 = 1/4
Answer:
$520
Step-by-step explanation:
20%
=0.2
0.2*650
=130
650-130
=520