Yes because any number multiplied by a decimal gets moved over to how ever many decimal places it went. EX 5(.12) = .6. Every time multiplying with a decimal, the answer will always be smaller and include a decimal.
He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.
Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.
To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.
To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.
Each package contained 12 pencils.
Hope this helps
Answer:
The range of rental car rates that would be cheaper for Jamal than the taxi service is given by,
A ={x| 0 ≤ x < 26} [where x is in dollar]
Step-by-step explanation:
Let, the car rental rate be $ x per day .
Jamal's trip will last for 4 day.
He expects to pay $ 24 for gas (if he rents the car)
He expects a taxi service would cost about $ 128
So, for the rental car option to be cheaper than the taxi option, the following inequality must follow,
128 > 24 + 4x
⇒ 4x < 104
⇒ x < 26
So, the range of rental car rates that would be cheaper for Jamal than the taxi service is given by,
A ={x| 0 ≤ x < 26} [where x is in dollar]
Out of 8 men, 4 can be selected and lined up in (8 x 7 x 6 x 5) = 1,680 ways.
But within that number, each group of 4 appears in (4 x 3 x 2) = 24 orders.
So there are (1,680 / 24) = 70 different groups of men.
Out of 5 women, 3 can be selected and lined up in (5 x 4 x 3) = 60 ways.
But within that number, each group of 3 appears in (3 x 2) = 6 orders.
So there are (60 / 6) = 10 different groups of women.
Each different group of 70 men can be joined by any of the 10 groups
of women. So the total number of possible subcommittees is (70 x 10) = 700 .
