Answer:
Each employee took home 1/4 of pizza each.
Step-by-step explanation:
1. Picture a pizza as being a full 100%.
2. Since each employee took home the same amount of pizza, you need to divide the pizza equally by 4. 100 ÷ 4 = 25 this also equals 25/100
3. To reduce the fraction 25/100, you have to find a number that both the numerator and denominator can be divided by.
4. In this scenario, 25/100 can both be divided by 25.
5. 25 ÷ 25 = 1 100 ÷ 25 = 4
6. Therefore the final answer is each employee took home 1/4 of the pizza.
Answer:
10
Step-by-step explanation:
First, factorize the number 3,240:
So,
Now consider the fraction
If k = 10, then
is a square number.
For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).
Or you can simply check the values of the fraction for all k < 10:
- k = 1, is not a square number;
- k = 2, is not a square number;
- k = 3, is not a square number;
- k = 4, is not a square number;
- k = 5, is not a square number;
- k = 6, is not a square number;
- k = 7, is not a square number;
- k = 8, is not a square number;
- k = 9, is not a square number.
Answer:
The function that represents the mass of the sample after t days is .
The percentage rate of change per hour is of -2.46%.
Step-by-step explanation:
Exponential amount of decay:
The exponential amount of decay for an amount of a substance after t days is given by:
In which A(0) is the initial amount, and r is the decay rate, as a decimal.
Element X is a radioactive isotope such that its mass decreases by 59% every day. The experiments starts out with 390 grams of Element X.
This means, respectively, that
So
The function that represents the mass of the sample after t days is .
Hourly rate of change:
Decreases by 59% every day, which means that for 24 hours, the rate of change is of -59%. So
-59%/24 = -2.46%
The percentage rate of change per hour is of -2.46%.
Answer:
Step-by-step explanation:
Start by expanding the into the bracket using the distributive method:
Now, expand the result into the remaining bracket:
Answer:
Yes.
Step-by-step explanation:
Yes.
Assuming a, b and c are integers (not = 0)
a/b + b/c
= (ac + b^2) / bc which is a rational number.