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:
There are four (4) basic properties of real numbers: namely; commutative, associative, distributive and identity. These properties only apply to the operations of addition and multiplication. That means subtraction and division do not have these properties built in.
Step-by-step explanation:
Answer:
7(7x-4)
Step-by-step explanation:
We can factor a 7 from each term
49x = 7*7x
28 = 7*4
49x -28
7(7x-4)
Suppose nick spent x number of tokens on day 1
So he spent x + 5 on day 2
He spent x + 10 on day 3
He spent x + 15 on day 4
He spent x + 20 on day 5
On day 6 he spent x + 25
And on day 7 he spent x + 30
So in all he spent
x + x + 5 + x + 10 + x + 15 + x + 20 + x + 25 + x + 30
= 7x + 105
But total token spent = 203
So
7x + 105 = 203
Subtracting 105 from both sides
7x = 203 - 105
7x = 98
Dividing by 7 on both sides
x = 14
So on third day he spent x + 10
= 14 + 10
= 24 tokens
Tokens spent on day 3 = 24
