Answer:
The four consecutive odd integers = 15, 17, 19, 21
Step-by-step explanation:
Four consecutive odd integers in Mathematics when x is an integer is given as:
x , x + 2 , x + 4, x + 6
Where:.
First integer = x
Second integer = x + 2
Third integer = x + 4
Fourth integer = x + 6
The sum of the first and fourth is 55 greater than the opposite of the third
Hence :
x + x + 6 = -(x + 4) + 55
x + x+6 = (-x - 4) + 55
2x + 6 = -x + 51
Collect like terms
2x + x = 51 - 6
3x = 45
x = 15
Therefore,
First integer = x = 15
Second integer = x + 2 = 15 + 2 = 17
Third integer = x + 4 = 15 + 4 = 19
Fourth integer = x + 6 = 15 + 6 = 21
The four consecutive odd integers = 15, 17, 19, 21
Answer:
26.6 meters
Step-by-step explanation:
Tan(x) = 
Tan(28) = 
x = 26.6m
Answer:
5
Step-by-step explanation:
Answer:
The least possible number of people in the family is 8.
Step-by-step explanation:
To determine the minimum number of people that make up the family, knowing that 0.83 of the children are boys, the following logical reasoning must be carried out:
Given that 0.83 is the result of 5/6, it can be said that 5 of the 6 children of the couple are boys. These 6 children must be added to the 2 fathers of the family, with which the total number of family members is 8.
The solution is x = 1 and x = -3
<em><u>Solution:</u></em>
Given that we have to solve the given equation by factoring
Given equation is:
Find a pair of integers whose product is c and and whose sum is b
Now find, a pair of integers whose sum is -2 and product is -3
The integers that satisfies this condition is -1 and 3
When we add - 1 and 3 we get 2
When multiply -1 and 3 we get -3
Thus the pair of integers are -1 and 3
Write the factored form using these integers.
The Zero Product Property states that if ab = 0, then either a = 0 or b = 0, or both a and b are 0
Set the factors equal to 0
x = 1 and x = -3
Thus the solution is x = 1 and x = -3
