Answer: 3 servings with .33 cups left over.
Step-by-step explanation:
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:
Step-by-step explanation:
According to the formula we need to start from n = 1. So the first 5 terms of the sequence, will have the following values of n: 1,2,3,4,5
Now, we need to replace the values of n into the formula to get all the terms.
f(1) = 1/3 ^ 1-1 = 1/3^0 = 1.
This is because any number elevated to zero is always the unit, in this case, 1.
f(2) = 1/3 ^2-1 = 1/3 ^1 = 1/3
This, because any number elevated to 1, is always the same initial number.
f(3) = 1/3 ^3-1 = 1/3 ^2 = 1/9.
Because when the exponent is elevating a fraction number, the power goes to both numbers (numerator and denominator)
f(4) = 1/3 ^4-1 = 1/3 ^3 = 1/27.
f(5) = 1/3 ^5-1 = 1/3 ^4 = 1/81.
It depends on how much paint she needs to paint 1 birdhouse.
Answer: 10.5
Step-by-step explanation:
