Answer:
The smallest of the two consecutive integers is 10 or less.
Step-by-step explanation:
Let x represent the smallest of the even integers in the sequence.
Then the sum of two consecutive even integers is ...
x + (x +2) = 2x +2
And half the sum of the next two consecutive even integers is ...
(1/2)((x +4) + (x +6)) = x + 5
The relationship between these values is ...
2x +2 ≤ 7 + (x +5)
Subtracting x+2 gives ...
x ≤ 10
The least of the two consecutive even integers is at most 10.
Answer:
B. x < 5
Step-by-step explanation:
Lets go first with 3x – 8 < 23 then with - 4x + 26 > 6 and after that we put them together. (I will use the < > signs but as I see on the pictures these include the =, being less and greater OR equal).
3x – 8 < 23
Lets sum 8 in both sides:
3x < 23 +8
3x < 31
Now, divide both sides by 3:
3x/3 < 31/3
x < 31/3
Here we found one condition. Lets go with the other inequality for the other condition:
- 4x + 26 > 6
Lest sum 4x in both sides to get a potive x:
- 4x + 26 + 4x > 6 +4x
26 > 6 +4x
Now subtract 6 in both sides
26 - 6 > 6 +4x - 6
20 > 4x
Finally, divide both sides by 4:
20/4 > x or 5 > x (simplifying we get the second)
So, our second condition says that x must be less than 5.
So, putting both conditions together:
x < 5
x < 31/3 = 10.33
So, if x must be less than 5 and less than 10.33, is the same that saying that x mus be less than 5. We con obviate the condition that x must be less than 10.33 as it is included in the other. So our answer is:
x < 5
It is the option B in the image (remember I didnt use the less or equal sign because you didn't included it in the statement).
Answer:
99 and 100.
Step-by-step explanation:
Let's say the lower number is x. This means that the bigger number would be x+1
x+x+1=199
Simplify
2x+1=199
Subtract 1 on each side of the equation to isolate 2x:
2x=198
Divide
x=99
Let's put this to the test! The lower number(x) is 99, and the bigger number(x+1) would be 100. The total is 199.
Happy learning!
--Applepi101
Answer
y = 2(x - 8)(x + 2)
Step-by-step explanation:
A(x - 8)(x + 2)
A × -8 × 2 = -32
-16A = -32
A = 2
y = 2(x - 8)(x + 2)
Answer:
12.8 cups of flour will need to be used
Step-by-step explanation:
