Answer:
78
Step-by-step explanation:
The tricky part of this is figuring out how to assign the unknowns. We are told that we are working with two consecutive even integers. Consecutive means "next to" or "in order" and sum means to add. If we use 2 and 4 as examples of our 2 consecutive even integers and assign x to 2, then in order to get from 2 to 4 we have to add 2. So the lesser of the 2 integers is x, and the next one in order will be x + 2. (2 and 4 are just used as examples; they mean nothing to the solving of this particular problem. You could pick any 2 even consecutive integers and find the same rule applies. All we are doing here with the example numbers is finding a rule for our integers.) Now we have the 2 expressions for the integers, we will add them together and set the sum equal to 158:
x + (x + 2) = 158
The parenthesis are unnecessary since we are adding, so when we combine like terms we get
2x + 2 = 158 and
2x = 156 and
x = 78
That means that the lesser of the 2 integers in 78, and the next one in order would be 80, and 78 + 80 = 158
Answer:
37
Step-by-step explanation:
6x+y
Let x = 5 and y = 7
6*5+ 7
Multiply
30 +7
Add
37
Answer:
B. (6,2) and (3,0)
Step-by-step explanation:
To find the slope the equation is 
so for (6,2) and (3,0) the equation would look like this 
which simplies down to 
and a negative divided by a negative is a positive so you're slope is 
and it matches the question.
Answer:
Margin of Error = 1.96 
7.75 = 15.19
Step-by-step explanation:
i) Margin of Error of a population with a standard deviation of 7.75?
ii) Let us assume a two tailed test with a 95% confidence interval
iii) 
iv) therefore Margin of Error = 1.96 7.75 = 15.19
