Answer:
Length = 6
Width = 3/2
Step-by-step explanation:
You can choose to go about this question in lots of different ways, but this is how i did it. I drew a diagram of the rectangle and labeled it: the height/length as x and the width as x/4 (they told us the width is a quarter of the length). They also told us that the area is 9 square units.
We know that length x width = area
So: length x width = 9
I'm gonna bring in the variables i used in the diagram, so:
x 
= 9
Keep solving:
= 9
Times both sides by 4:
= 36
Square root both sides for x:
<em>* remember that when you square root, its possible to have a positive or negative version of the value</em>
x = ±6
Since its impossible to have a negative length, we can say that x = 6.
X was just the variable we gave to the length of the rectangle, so now we know the length is 6. If you needed to find width as well, you can do 6/4, which simplifies to 3/2.
To double-check
- 6 x 3/2 should equal 9, since length x width = area
which it is, so we're correct!
Hope that helped : )
I don't know what the "six-step method" is, but I do know how to solve the problem:
Let x = number of gallons of 50% solution
amount of antifreeze in 50% solution = 0.50x
amount of antifreeze in 10% solution = 0.10(80) = 8
amount of 40% solution = 0.40(x+80) = 0.40x + 32
Then, 0.50x + 8 = 0.40x + 32
0.10x = 24
x = 240 gal
Answer: Geometric
Step-by-step explanation: An arithmetic sequence is a sequence with a common difference. In other words, it has a number that is repeatedly added or subtracted to reach the next term. In this problem, that's not the case. We are not going up or down by the same number which means it's geometric.
<h2>
Answer:</h2>
Your answers are all on the attachments and the explanations as well
Step-by-step explanation:
Click the attachments pleaseee!
hope this helped :3!
Answer:
The mean number of households who own a riding lawn mower is 6.65.
Step-by-step explanation:
For each household, there are only two possible outcomes. Either there is a riding lawn mower, or there is not. The probability of a household having a riding lawn mower is independent of other households. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
35% of households own a riding lawn mower.
This means that 
A sample 19 households is studied.
This means that 
What is the mean number of households who own a riding lawn mower
The mean number of households who own a riding lawn mower is 6.65.
