Answer:
In order to increase humidity by 49.17 grams per kilogram, the increase in temperature will be 18 degree Celsius approx.
Step-by-step explanation:
Initial humidity = 5.75 g/kg
Final humidity= 49.17 g/kg
Percentage increase in humidity= (49.17-5.75)/5.75 *100= 755.13
Increase in temperature= 755.13/43 = 17.56
Increase in temperature = 18 degree Celsius approx.
Answer:
1
Step-by-step explanation:
A dilation of .1 or 1/2 would decrease the size. Since the numbers are smaller than zero the triangles would no longer be congruent. A dilation of 10 would increase the size of the triangle, causing the triangles to no longer be congruent. A scale fact of one is equivalent to the same size because 1 does not increase or decrease the size.
Answer:
C. The line does not go through the origin.
Step-by-step explanation:
We have been given a straight line graph that doesn't pass through origin (0,0) and has y-intercept at (0,3).
Now we need to decide why that graph doesn't represent a direct variation.
We know that graph represents variation when it passes through origin. But since given graph doesn't passes through origin so it doesn't represent the direct variation.
Correct choice is :
<u>C. The line does not go through the origin.</u>
400x6=2400 This is how a find a product
<h3>
Answer: choice C) 15</h3>
Simplify the left side to get
2(4+x)+(13+x)
2(4)+2(x) +13+x
8+2x+13+x
3x+21
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So the original equation
2(4+x)+(13+x) = 3x+k
turns into
3x+21 = 3x+k
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Subtract 3x from both sides
3x+21 = 3x+k
3x+21-3x = 3x+k-3x
21 = k
k = 21
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If k = 21, then the original equation will have infinitely many solutions. This is because we will end up with 3x+21 on both sides, leading to 0 = 0 after getting everything to one side. This is a true equation no matter what x happens to be.
If k is some fixed number other than 21, then there will be no solutions. This equation is inconsistent (one side says one thing, the other side says something different). If k = 15, then
3x+21 = 3x+k
3x+21 = 3x+15
21 = 15 .... subtract 3x from both sides
The last equation is false, so there are no solutions here.
note: if you replace k with a variable term, then there will be exactly one solution.
