Let's say you had a cake that is cut into 5 equal slices. Then someone eats 2 of those slices. They ate 2/5 of the cake.
Now let's say you have another cake that you cut into 10 equal slices. If someone eats 4 of those ten, then they have eaten 4/10 = 2/5 of the cake.
Check out the diagram below to see a visual of how 4/10 and 2/5 are equivalent fractions.
Going from 2/5 to 4/10 has us multiply top and bottom by 2.
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Similarly, 1/2 = 5/10 after multiplying top and bottom by 10
The original expression 2/5 + 1/2 turns into 4/10 + 5/10
Then you add the numerators to get 4+5 = 9, placing that over the common denominator of 10
<h3>Answer: 9/10</h3>
Answer:
You have not added a picture soi can not help answer this question.
Step-by-step explanation:
Add the picture by either taking a photo or screenshot of the question then upload it.
Answer:
$0.75
Step-by-step explanation:
Answer:
15 people/mi
Step-by-step explanation:
The population density of a region in Alaska is 3,000 people/200 mi.
We need to find the equivalent to the population density of this Alaskan region.
![x=\dfrac{3000\ \text{people}}{200\ \text{mi}}\\\\x=\dfrac{30\ \text{people}}{2\ \text{mi}}\\\\x=\dfrac{15\ \text{people}}{\text{mi}}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B3000%5C%20%5Ctext%7Bpeople%7D%7D%7B200%5C%20%5Ctext%7Bmi%7D%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B30%5C%20%5Ctext%7Bpeople%7D%7D%7B2%5C%20%5Ctext%7Bmi%7D%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B15%5C%20%5Ctext%7Bpeople%7D%7D%7B%5Ctext%7Bmi%7D%7D)
So, the correct option is (c) "15 people/mi"
The length of the rectangle is 60 feet and the width of the rectangle is 45 feet.
<h3>What is the area of the rectangle?</h3>
Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L×W square units
A farmer’s rectangular pen has an area of 2,700 square feet, and the width is 15 feet shorter than the length.
L = W + 15
Then we have
2700 = W(W + 15)
W² + 15W - 2700 = 0
W² + 60W - 45W - 2700 = 0
(W + 60)(W - 45) = 0
W = 45, -60
Then the dimension of the rectangle will be
W = 45 feet
L = W + 15
L = 45 + 15
L = 60 feet
More about the area of the rectangle link is given below.
brainly.com/question/20693059
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