Answer:
We want to simplify:
(3 + 1/4)*(3/5)
The first step is to write the first term as a single rational number.
We know that:
3*1 = 3
and 4/4 = 1
then:
3*1 = 3*(4/4) = (3*4)/4 = 12/4
We do this because we want to have the same denominator in both numbers, so we can directly add them.
Then we get:
(3 + 1/4)*(3/5) = (12/4 + 1/4)*(3/5) = (13/4)*(3/5)
And remember that in the multiplication of rational numbers the numerator are multiplied together and the same for the denominators, then we get:
(13/4)*(3/5) = (13*3)/(4*5)
If we solve the multiplications we get:
(13*3)/(4*5) = (39/20)
Now, we can notice that in the numerator we have two prime numbers, 13 and 3.
And in the denominators, we have a 4 (which is equal to 2*2) and a 5.
So the prime numbers in the numerator and the denominator are all different, this means that we can not simplify it furthermore.
Then we have:
(3 + 1/4)*(3/5) = (39/20)
Answer:
1/9
Step-by-step explanation:
after simplifying you will get 3^b-a. if a-b =2, b-a=-2. 3^-2=1/9
Once they are put into standard form:
1. y≤-3/2x+6 Original: 3x+2y≤12
2. y≥6/5x-6 Original: 6x-5y≤30
3. y≥-3/2x+6 Original: 3x+2y≥12
4. y≥6/5x-6 Original: 6x-5y≥30
Answers:
The first graph:
Blue line: 3x+2y≤12
Red line: 6x-5y≥30
The second graph:
Blue line: 3x+2y≥12
Red line: 6x-5y≤30
Write the Inequality
A number b times -16 is greater than 5.
A number b is a variable... b.
Times means multiply.
-16 is what you are multiplying b by.
Is greater than means the greater than symbol.
5 is what the past statements are greater than.
So this is the inequality.
-16b > 5
Solve the Inequality
You need to isolate b.
To do this, divide each side by -16. You do this because b is being multiplied by -16. You know that any number divided by that number equals 1, canceling the number.
-16b ÷ -16 = b
5 ÷ -16 = -5/16
So you get b > -5/16
So to make the inequality true, b must be more than -5/16.
Or as an inequality...
b > -5/16
Answer:
The answer to your question is the letter A) 5 (6x + 4y)
Step-by-step explanation:
Data
(6x + 4y)(5)
There are two Commutative properties, one for addition and one for multiplication. In this problem we need to work with the Commutative property of multiplication.
This property tells us that is does not matter the order in which we multiply the numbers the result will be the same.
Then,
(6x + 4y)(5) = (5)(6x + 4y)
