Answer:
<u>Part A: </u>
<u>n = 5q (1st equation)</u>
<u>0.05n + 0.25q = 2 (2nd equation)</u>
<u>Part B:</u>
<u>q = 4 ⇒ n = 5 * 4 = 20</u>
<u>Part C:</u>
<u>Margie has 20 nickels and 4 quarters, for a total of $ 2.00</u>
Step-by-step explanation:
Let's recall that a nickel has a value of $ 0.05 and a quarter a value of $ 0.25.
Let n represent the number of nickels and q represent the number of quarters.
Part A:
Write a system of equations to represent the situation.
n = 5q (1st equation)
n * 0.05 + q * 0.25 = 2
0.05n + 0.25q = 2 (2nd equation)
Part B:
Replacing n in the 2nd equation to solve for q:
0.05n + 0.25q = 2
0.05 * 5q + 0.25q = 2
0.25q + 0.25q = 2
0.5q = 2
q = 2/0.5
<u>q = 4 ⇒ n = 5 * 4 = 20</u>
<u>Part C:</u>
<u>Margie has 20 nickels and 4 quarters, for a total of $ 2.00</u>
Its the first one because -3(-2)=6, 1(-2)=-2, 2(-2)=4 are all correct
The slope should be
m= 2/3 (2 over 3)
Answer:
Step-by-step explanation:
The applicable formula is ...
s = rθ
where s is the arc length, r is the circle's radius, and θ is the central angle in radians.
Filling in the given values, we find ...
15 = 6θ
θ = 15/6 = 2.5 . . . radians
Pi (π) radians is 180°, so the angle in degrees is ...
2.5(180°/π) ≈ 143.24°
There are 16 on each layer and 96 in total
