1) 7(x-2)=x+16. 1) Given
2) 7x-14=x+6 2) Distributive Property of Equality
3) 7x-14+14=x+16+14. 3) Addition P.O.E
4) 7x=x+30. 4) Simplify
5) 7x-x=x+30-x. 5) Subtraction P.O.E
6) 6x=30. 6) subtraction P.O.E
7) 6x/6=30/6. 7) Division P.O.E
8) x=5. 8) Simplify
Answer:
-12a³b²c ( 2bc² + 7a)
Step-by-step explanation:
To factorize, we must separate the highest common factors between the products that make up the given expression. To get the highest common factor between the two products,
-24a3b3c3 = -2 * 2 *2 * 3 * a³ *b² *b * c² * c
- 84a4b2c = -2 * 2 *3 * 7 * a³ * a *b² * c
The common elements are -2, 2, 3, a³, b², c
The product of the common elements
= -12a³b²c
Hence, factorizing
-24a3b3c3 - 84a4b2c = -12a³b²c ( 2bc² + 7a)
Answer:
34
explanation:
First of all, put the numbers in order
30, 31, 31, 32, 33, 35, 35, 35, 36, 36
Then, find the middle number.
In this case, there is an even amount of numbers so, we have to pick the 2 middle numbers which is 33 and 35.
Now all you have to do is add these two numbers together then divide by 2 which will give you 34.
or, in simpler questions like this one, you can just say 34 as you know it is between 33 and 35.
In other questions, it might have and odd amount of numbers, for example:
3, 3, 5, 8, 10
so all you would do here is pick the middle number which would be 5. (it has 2 numbers on each side of it)
Ant's mass: 4 x 10 - 3
Elephant's mass: 8 x 106
First, we should evaluate these expressions by using PEMDAS. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. From P to S is the order that we must follow these steps.
So first for the ant's mass, we have to multiply first since the M comes before the S, resulting in 40 - 3 grams.
Next we have to subtract, leading us to getting 37.
For the elephant since there is only one operation, all we have to do is multiply, which equals 848.
In order to see how many times larger the elephant is than the ant, we have to divide the elephant's mass by the ant's.
848/37 = 22.9
Since you only want an approximate answer, you can put down 23 or even go a bit more vague and put down 20.
