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
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Answer:
Raising something to a negative exponent is just taking the reciprocal of the amount.
Step-by-step explanation:
Let's assume that you wanted to know what 
is.
To find it, you would take the reciprocal of the x amount. So becomes 
.
This works because of the nature of exponents. Exponents represent the number of times you are multiplying a value by itself. So 
would be equal to a · a · a. To increase the exponent, you increase the number of times the value is multiplied by itself: To increase to 
, you would have to multiply a with two more times (a · a · a · a · a). To decrease the exponent, you must divide the value by itself. So to decrease to 
, you would have to divide by a 3 times.
If the exponent is 0, the value is equal to 1. But you can still decrease the exponent into negative numbers. You just divide 1 by a the desired amount of times: 
means that you are dividing 1 by a 3 times.
Hope this helps.
The biggest side is always the opposite of the biggest angle in the triangle. So angles in a triangle always go with proportion to the side they are facing.
Hope this helps :)
Answer:
The distance formula is 22.360679775
if you round it to the nearest tenth, then the answer is 22.4
Step-by-step explanation:
(-6, -12) and (4,8)
<u>(x2 - x1)² + (y2 - y1)²</u>
Place the x and y values
(4 - - 6)² + (8 - - 12)²
= 10² + 20²
= 100 + 400 = 500
√500 = 22.360679775
Round it to the nearest tenth, and you will get 22.4
Hope this helps!
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2x + 5 > 3x + 1
<u> - 2x - 2x </u>
5 > x + 1
<u>- 1 - 1</u>
4 > x
x < 4
