Answer:
a
Step-by-step explanation:
Given
3(x + 3)² - 81 = 0 ( add 81 to both sides )
3(x + 3)² = 81 ( divide both sides by 3 )
(x + 3)² = 27 ( take the square root of both sides )
x + 3 = ± 
= ± 3
( subtract 3 from both sides )
x = - 3 ± 3
x = - 3 - 3 or x = - 3 + 3 → a
Answer:
(a)Food-12%
9b)Transportation-17%
Step-by-step explanation:
In the Year 2000
- Average Household Income (before taxes)=$44,649
- Amount Spent on Food =$5,158
- Amount Spent on Transportation=$7,417
Therefore:
(a)Percentage of the average household income in 2000 was spent on food
(b)Percentage of the average household income in 2000 was spent on transportation
Answer: By cross multiplication.
Step-by-step explanation: Given product is 3 × 292.
We know that after simple multiplication, we get 3 × 292 = 876.
Now, to check division with multiplication, either we need to divide 876 by 3 to get the answer 292,
or
we need to divide 876 by 292 to get the answer 3.
We will do that as follows -
Thus, doing cross-multiplication, we arrive at our conclusion.
Answer:
The correct number of basic operations that exist in mathematics is four (addition, subtraction, multiplication and division) because the definition of an operation is the carrying out of a task by the application of principles and these four operation are arithmetic operations that have precedence rules or order of operations, such that we must first multiply or divide before adding or subtracting
Division is different from simply multiplying by a fraction because in Euclidean division, the result is a quotient and a remainder, which shows that division can yield more than one result while multiplication yields a single result
For subtraction and addition, one of the differences is that subtraction cannot be simply commuted
a - b = -(b - a)
Subtraction is non-associative;
a - b - c when arranged as (a - b) - c and a - (b - c), can yield different results depending on operation order which is unlike addition
Therefore, the four basic operations in mathematics are addition, subtraction, multiplication and division
Step-by-step explanation:
