Answer:
x = 33
y = 41
Step-by-step explanation:
GIven
x: number of nickels
y: number of quarters
A nickel = $0.05
A quarter = $0.25
then we have the system of equations
0.05*x + 0.25*y = 11.90
x + y = 74
Which can be solved applying any of known methods. Then, the solution is
x = 33
y = 41
hope this was helpful.
Answer:
C. 47°
Step-by-step explanation:
The angle between the terminal ray of 227° and the nearest x-axis (the negative x-axis) is ...
227° -180° = 47°
The reference angle is 47°.
_____
In mathematical terms the reference angle is the minimum of the angle modulo 180° and the supplement of that angle.
227° modulo 180° = 47°
180° -47° = 133° . . . . supplement of 47°
min(47°, 133°) = 47° . . . the reference angle
The sum of angles in a triangle is 180°
We know 2 angles: 35 and 35
180-(35+35)=angle acb
180-70
110=angle acb
Answer and step-by-step explanation:
15. 7(8+t) -5t
Break the bracket, we got:
= 7*8 + 7*t - 5t
= 56 + 7t - 5t
= 56 + 2t or 2 (28 + t)
16. 4n - 2n = 84
2n = 84
Divide both side by 2:
2n / 2 = 84 / 2
n = 42
17. y + 3y = 96
4y = 96
Divide both side by 4:
4y / 4 = 96 / 4
y = 24
18. 5p - 2p = 51
3p = 51
Divide both side by 3:
3p / 3 = 51 / 3
p = 17
Hope this helped :3
