The perimeter P of a square whose side length is n… is this direct variation?
Answers
The perimeter of a square is four times the side, since you have to sum all sides, and they're all the same length:
This is direct variation, because we have
and if the ratio between two variables is constant (in this case, 4), then the two variables are in direct variation.
Final answer:
The perimeter of a square is directly proportional to its side length, therefore it's an example of direct variation.
Explanation:
Yes, the perimeter (P) of a square with side length (n) is an example of direct variation. In this case, P is directly proportional to n. To understand this, think of a square. A square has four equal sides. Thus, its perimeter (P) is n times 4, or P = 4n. If n is increased, the perimeter also increases proportionally, which supports that it's a direct variation relationship. A change in one quantity leads to a proportional change in the other one.
Learn more about Direct Variation here:
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400 is the new value and 350 is the original value, so we have an increase of 400 - 350 = 50
So now we find what percentage of 350 is 50.
In math "of" means ×
"is" means =
x × 350 = 50
350x = 50
x = 50/350
x = .1429
multiply by 100 to convert to percent (move decimal to the right 2 places).
.1439 × 100 = 14.29%
So the percentage of increase is 14.29%
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Answer:
9 units squared
Step-by-step explanation:
There are 6 units going up from the origin, and 3 units going right.
Do 6 x 3 = 18
18 divided by 2 because area for triangles is length x width divided by 2.
18 divided by 2 = 9
add units of measurements
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So the equation you can use is x + (x + 1) = 5 + 3(x + 1)
This is because the sum of the consecutive integers are equal to 5 more than 3 times the larger integer.
Now simplify:
x + (x + 1) = 5 + 3(x + 1)
2x + 1 = 5 + 3(x + 1)
2x + 1 = 5 + 3x + 3
2x + 1 = 3x + 8
Now isolate the variable:
2x + 1 = 3x + 8
Subtract 2x from both sides:
1 = x + 8
Subtract 8 from both side:
-7 = x
x = -7
So the smaller number is -7 and the larger number is -6.
Now check your answer:
-7 + (-7 + 1) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 - 6 = 5 + 3(-7 + 1)
-13 = 5 + 3(-7 + 1)
-13 = 5 + 3(-6)
-13 = 5 + (-18)
-13 = 5 - 18
-13 = -13
This works!
So the integers are -7 and -6.
110............... 327
112................ 425
114................ 550
116................ 486
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Answer:
About $300.
Step-by-step explanation:
To estimate, we will round these values to the nearest hundred.
327 rounds to 300; 425 rounds to 400; 550 rounds to 600; 486 rounds to 500.
Together, these make
300+400+600+500 = 1800
There are 6 charities; dividing by 6, we have
1800/6 = 300
Answers
Answer: 15 girls
Step-by-step explanation:
27 - 3 = 24
24/2 = 12
12 boys
12 + 3 = 15
15 girls
15+ 12 = 27
Answer: 15
Step-by-step explanation: Personally, I would try finding the number of boys first and then subtract the number of total students by the number of boys. To find the boys, you need to subtract three from 27 since those 3 are girls which leaves you with 24. It says there is half the number of boys than girls when you subtract 3 so 24 divided by 2 is 12. The number of boys is 12 so now all you have left to do is subtract 27-12 to find the number of girls, which is 15. I hope this helped you and sorry if it’s really long :)