Answer: 1 3/12
Step-by-step explanation: You can multiple straight accross and
5 is equivelant to 5/1 so we would do
5/1 * 3/12 = 15/12 which can get simplified into 1 3/12
Hopt this helps :D
4s = 3r
<span>s = 3/4*r </span>
<span>plug this into the second eqution and solve for the other variable: </span>
<span>2r +5(3/4)r = 23 </span>
<span>23/4*r = 23 </span>
<span>r = 4 </span>
<span>plug this r into the above equation we solved: </span>
<span>s = 3/4*r </span>
<span>s = 3/4*4 </span>
<span>s = 3 </span>
<span>system is: </span>
<span>{r=4, s=3}</span>
Answer:
x = 7°
<GDH = 112°
<FDH = 192°
<FDE = 135°
Step-by-step explanation:
If DE bisects <GDH this means that <GDE = <EDH
Given <GDE = (8x+1)° and <EDH = (6x+15)° then;
8x+1 = 6x+15
8x-6x = 15-1
2x = 14
x = 7°
Since <GDH = <GDE + <EDH
<GDH = 8x-1+6x+15
<GDH = 14x+14
<GDH = 14(7)+14
<GDH = 98+14
<GDH = 112°
For <FDH,
Note that sum of angle on a straight line is 180°
<FDH = <FDG + <GDE + <EDH
<FDH = <FDG + <GDH
<FDG = 180-(43+8x+1)
<FDG = 180-44-8x = 136-8x
<FDH = 136-8x+112
<FDH = 248-8x
<FDH = 248-8(7)
<FDH = 248-56
<FDH = 192°
For <FDE;
<FDE = <FDG + <GDE
<FDE = 136-8x+8x-1
<FDE = 135°
Answer:
See below in bold.
Step-by-step explanation:
Note that the numerators are the squares of 1, 2 3, 4 ...... and the denominators are the squares of 2, 3, 4, 5.....
The next 2 terms are 25/36 and 36/49.
The nth term is n^2 / (n + 1)^2 where n is the sequence number.
The 10th term is 10^2 / 11^2
= 100/121.
Answer:
26 child tickets
Step-by-step explanation:
4c = a to make the adult tickets equal to the child tickets multiply the child tickets by 4. then use substitution.
6.10c + 9.90(4c) = 1188.20
6.10c +39.6c = 1188.20
45.7c = 1188.20
c = 26