Answer:
There are many but one possible answer is a length of 4 and width of 6 for the smaller rectangle; and a length of 12 and width of 18 for the larger rectangle
Explanation:
So we know that two shapes on the same scale as each other also have the same ratio of values!
For example, a rectangle with a length of 3 and a width of 4 would have a ratio of 3:4. This means that a larger rectangle of the same ratio could have a length of 6 and a width of 8.
In this case though, our larger rectangle must have a length <em>and</em> width in the double digits. This would leave us with any number from 10-99!
We can choose any two numbers for the length and width of the smaller rectangle, but know that the size of the larger rectangle depends on the size of the smaller rectangle.
We can use a length of 4 and a width of 6 for the smaller rectangle, but remember that we can use any numbers from 1-10, I just chose this one.
<em>Additionally, just to be more realistic, your width should be larger than your length.</em>
Anyways though, if we use a length of 4 and a width of 6, then the ratio would be this: 3:6. Since ratios are similar to fractions, we can multiply 3/6 by any growth factor to get the larger rectangles values! I chose a growth factor of 3 (again, just to keep things realistic!).
4/6 * 3/3 = 12/18
These values are still proportional, and the outcomes are both double digits! Therefore, this could be one of your answers!
Answer:
g=
Step-by-step explanation:
To begin you want to isolate the g. So you add
to both sides. On the left is cancels out so it looks like this:

Next, you find the Least Common Denominator (LCD) which is 16. And since one fraction already has a denominator of 16 you leave it as it is. The other fraction, however, needs to be multiplied (both top and bottom) by 4 to get the denominator (bottom) to 16. So:

Multiplying it out you get:

Lastly, just add across:

You're done!

The answer is D. It is that because there are a total 24 grammes of fat and a total of 8 servings. To get your answer you have to divide 24 by 8 (24/8)=3
1. 504=3x
x=168
2. 64=20m
m=3.2
Answer: 24.9793
Step-by-step explanation:
Given : The director randomly selects 64 different 24-hour periods and determines the number of admissions for each.
For this sample, he calculated a mean
and a standard deviation of 100.
The 95% confidence interval results in an interval of 
We know that the confidence interval for population mean is given by :_
, where E is the margin of error.
By comparing this to the given interval , we find that the margin of error = 24.9793