Answer: 8m+25 ≤ 65
Step-by-step explanation:
Hi, to answer this question we have to write an inequality with the information given:
The product of the number of movie tickets he will buy per month (m) and the price of each ticket (8) plus the already spent money (25) must be less or equal to his savings (65).
Mathematically speaking:
8m+25 ≤ 65
Feel free to ask for more if needed or if you did not understand something.
Answer:
32 degrees
Step-by-step explanation:
An inscribed angle is an angle with its vertex on the circle, formed by two intersecting chords. Angle N perfectly fits this description. An inscribed angle is equal to 1/2 of its intercepted arc (the arc opposite the angle). The arc opposite angle N is equal to 64 degrees, so angle N is equal to 1/2 of that, or 32 degrees
O {x|1 < x < 4}
O {x|2 < x < 4}
Answer: 9 boys remained in the choir.
Step-by-step explanation:
Let x be the number of of boys and y be the number of girls.
In a school choir, 1/2(half) of the members were girls.
i.e (1)
At the end of the year, 3 boys left the choir, and the ratio of boys to girls became 3:4.
Put y= x from (1), we get
Thus , the number of boys : x= 12
Boys remained in the choir = 12-3=9
Step-by-step explanation:
5(tanx)^2 -2 +tanx=0
let tanx=y
5y^2 + y-2=0
y=0.5403 or y= -0.7403
tanx=0.5403
x=arctan(0.5403)
x=28.38°
or
tanx=-0.7403
x=arctan(-0.7403)
x=143.49°
Hi
1) -m^4n^-5= -m^4n^5
2) -4x^-1y^3= -4y^3/x
3) 2yx^-5= 2y/x^5
4) 3nm^-4=3n/m^4
5) 3x^3y^-5=3x^3/y^5
6) -5m^0n^-2= -5/n^2
7) 4x^-5y^2= 4y^2/x^5
8) 2m^-3n^4= 2m^3n^4
9) 4x^-3y^5= 4y^5/x^3
10) 2m^-1= 2/m
11) -5u^-3y^0= -5/u^3
12) -x^-2y^4= -y^4/x^2
Finally :)
I hope that's help and good luck !