Answer:
Catalina skates a total of 120 feet
Step-by-step explanation:
In order to determine how far she skates, create a right triangle. We know each legs' value with one being 30 and the other 40. Now we can find the hypotenuse by using the Pythagorean Theorem.
a^2 + b^2 = c^2
30^2 + 40^2= c^2
900 + 1600 = c^2
2500 = c^2
50 = c
Now that we have all 3 sides of the right triangle, add them together for the total distance.
30 + 40 + 50 = 120 feet
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Answer: A circle divided into 10 equal parts with 8 parts shaded
Step-by-step explanation:
Alright, there are a lot of words here so lets write them down as fractions so its easier to compare.
A circle divided into 5 parts with 1 part shaded = 1/5
A circle divided into 10 parts with 5 parts shaded = 5/10
A circle divided into 6 parts with 2 parts shaded = 1/3
A circle divided into 10 parts with 8 parts shaded = 8/10
Okay so looking at this we can see that they don't have a common denominator so lets fix that
1/5 = 6/30
5/10 = 15/30
1/3 = 10/30
8/10 = 24/30
3/5 = 18/30
Now lets find which one is greater than 3/5
Only the 24/30 one is greater, and looking back that is the circle divided into 10 parts with 8 of them shaded.
The number of Grade 6 students were asked in total is 100 students.
<h3>How to calculate the value?</h3>
Let the number of students who choose Natural History be x.
Since the number of students who chose the Museum of Math was 50 more than the number of students who chose the Museum of Natural History. This will be x + 50
The ratio of students who chose the Museum of Math to students who chose the Museum of Natural History was 3 to 1. The expression will be illustrated thus:
1/3 = x/x+50
Cross multiply
3x = x + 50
Collect like terms
3x - x = 50.
2x = 50
Divide
x = 50/2
x = 25
Also, x + 50 = 25 + 50 = 75
The number of Grade 6 students that were asked will be:
= 25 + 75
= 100
Learn more about expressions on:
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Answer:
Step-by-step explanation:
We know that
- A fraction consists of two integers—one on the top, and one on the bottom.
- The top one is numerator, the bottom one is denominator, and
- These two numbers are separated by a line.
Let us consider two different fractions with different denominators
Lets subtract the two fractions
so
Therefore,
