Answer:
D
Step-by-step explanation:
So here we have a line plot that shows lengths of insects and the quantity of insects that fits the description.
For instance, there are 4 Xs for 1/8. This means that there are four insects that are 1/8 inches long. Likewise, there is only 1 X for 7/8. This means that are is only one insect that is 7/8 inches long.
To find out how much longer is the longest insect than the shortest insect, we simply need to subtract the shortest into the longest.
The longest insect we have is the lone insect who is 7/8 inches long.
And the shortest insects we have are the four insects who each measure 1/8. However, we only need 1.
So, subtract:
Combine fractions with common denominators:
Subtract:
The answer is D.
Answer:
Step-by-step explanation:
drain empties 1/10 of the desired amount per minute
pump fills 1/14 of the desired amount per minute
when both are active, the net drain is 1/10-1/14 = 1/35 of the desired amount per minute
It takes 35 minutes to reach the cut-off level.
Answer:
56
Step-by-step explanation:
Round: 24 is 20 and 34 is 30
20 + 30 = 50
now unrounded, it's easier.
24 + 32 = 56
because 4 + 2 = 6, we know to add on only a few more.
Answer:
The graph of f has an inflection point at x = 0.
Step-by-step explanation:
An inflection point occurs when the second derivative changes signs. Since f"(x) is decreasing and has an x-intercept at 0, it changes signs from + to -, so there is an inflection point at x = 0.
Answer:
x=0. The explanation is below.
Step-by-step explanation:
So, it is run 2 rise 6. We can fact-check that with 1 to 3 to 5 and 1 to 7 to 13. So, the slope is 3 because of rise over run. So, we can make an equation with y = mx + b. m = 3 because that is the slope. 1=3(1) + b. b=-2. So, the equation is y=3x-2. We can find any x using y and vice versa if we find the equation.
For this part, -2=3x-2. 3x=0. x=0.
