I: 635=dimes*10+quarters*25
or shorter
635=d*10+q*25
II: d=q*3+3
Substitute II (d=3q+3) into I to replace d:
635=d*10+q*25
635=(3q+3)*10+q*25
635=30+30q+25q
605=55q
11=q
-> 11 quarters
"What expression represents the number of dimes if q represent quarters"
insert q=11 into II:
II: d=q*3+3
d=11*3+3
d=33+3
d=36
Answer:
3
Step-by-step explanation:
Answer:
Let number of laps she walked be equal to L
L=$7
7L = $105 (equation)
OPTIONAL: If you want to find how may laps she walked, divide both sides by 7
L = 105/7 = 15
She walked 15 laps
Step-by-step explanation:
Answer:
4, 5, 6
Step-by-step explanation:
First integer is X, consecutive is (x+1), next consecutive is (X+1+1)=(X+2)
Three consecutive integers have a sum of 15. X+X+1+X+2 = 15
X+X+1+X+2 = 15
3X + 3 = 15
3X = 15-3
3X = 12
X = 4
X+1 = 4+1=5
X+2 = 4+2=6
Check: 4+5+6=15, 15=15
