Answer:
The number is 48
Step-by-step explanation:
First, let's call the number we are looking for n.
We can then write "two-thirds of the number" as 2/3n
We can also write "one-half of a number" as 1/2n
Finally, we are told 1/2n is the same as 2/3n −8 or: 1/2n = 23n −8
We can now solve for n: 1/2n − 2/3n = 2/3n −8 − 2/3n 1/2n − 2/3n = −8We next need to get the fractions over common denominators, in this case, 6 by multiplying each fraction by the necessary for of 1: (3/3) 1/2n − (2/2) 2/3n = −8 3/6n − 4/6n = −8 − 1/6n = −8.
We can finally solve for n by multiplying by -6 to isolate n −6 ⋅(−1/6)n = −8⋅ − 6
1n = 48
n =48
Answer:
8 weeks
Step-by-step explanation:
Let
w = number of weeks
John = 12 + w
Aiden = 4 + 2w
How many weeks (w) will it be before Aiden knows as many songs as John?
Equate both John and Aiden expression
John = Aiden
12 + w = 4 + 2w
Collect like terms
12 - 4 = 2w - w
8 = w
w = 8 weeks
It will take 8 weeks before Aiden knows as many songs as John
The first equation uses the first and second coupons. the coupon (1-y)40 will take y% off of the dress pants so the answer is 40(1-y)
Answer:
8 minutes for 2 pizzas
Step-by-step explanation:
64/16=4
takes 4 min to make 1 pizzas
takes 8 min to make 2 pizzas
