Answer: 90 degrees
Step-by-step explanation:
Answer:
48 students in science
Step-by-step explanation:
Let r = students in robots club
s = students in science club
r+s = 84
s = r+12
Substitute the second equation into the first
r+(r+12) = 84
Combine like terms
2r+12 = 84
Subtract 12 from each side
2r = 84-12
2r = 72
Divide by 2
r = 72/2 = 36
We need to find s
s = r+12
s = 36+12
s = 48
There are 48 students in the science club
She would have rented it for 9 hours because you do 81 minus 9 for the kayak charge that with equal 72 then you divide 72 by 8 for the hourly charge and that will equal 9
X=Elinor´s age today.
y=Mother´s age today.
(x+15)=Elinor´s age after 15 years.
(y+15)=Mohter´s age after 15 years.
We can suggest this systemen of equations:
x/y=3/8 ⇒x=3y/8
(x+15)/(y+15)=6/11 ⇒11(x+15)=6(y+15)
Finally, we´ll have the following system:
x=3y/8
11(x+15)=6(y+15)
We can solve this system of equations by substitution method:
11[(3y/8)+15)=6(y+15)
11[(3y+120)/8)=6y+90
33y+1320=8(6y+90)
33y+1320=48y+720
33y-48y=720-1320
-15y=-600
y=-600/-15
y=40
We find out the value of "x";
x=3y/8
x=3(40)/8
x=120/8
x=15
Answer: Elinor is 15 years old.
