What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 5.5? A rectangle is shown. The length of the rectangle is labeled as 8 cm, and the width is labeled as 6 cm. Perimeter = 50 cm, area = 155.25 cm2 Perimeter = 50 cm, area = 1,452 cm2 Perimeter = 154 cm, area = 155.25 cm2 Perimeter = 154 cm, area = 1,452 cm2
Answers
Answer 1
Answer:
The perimeter of the rectangle is by definition:
P = 2W + 2L
Where,
W: width
L: long
We have then:
P = 2 (5.5 * 6) +2 (5.5 * 8)
P = 154 cm
The area of the rectangle is by definition:
A = (W) * (L)
Where,
W: width
L: long
We have then:
A = (5.5 * 6) * (5.5 * 8)
A = 1452 cm ^ 2
Answer:
Perimeter = 154 cm, area = 1,452 cm2
P = 2W + 2L
Where,
W: width
L: long
We have then:
P = 2 (5.5 * 6) +2 (5.5 * 8)
P = 154 cm
The area of the rectangle is by definition:
A = (W) * (L)
Where,
W: width
L: long
We have then:
A = (5.5 * 6) * (5.5 * 8)
A = 1452 cm ^ 2
Answer:
Perimeter = 154 cm, area = 1,452 cm2
Answer 2
Answer:
Answer:
the answer is 154 cm, area = 1,452 cm2 I took the test
Step-by-step explanation:
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Answers
Since these questions all require similar methods of solving, I will only completely work out the first question of each type.
2. To find
as a decimal, all we need to do is complete the fraction by dividing the numerator by the denominator.
= 7 / 10 = 0.7
as a decimal is 0.7.
3. To write a fraction as a percentage, we must first convert it into a decimal, the way we did in problem 2.
Then to change that number into a percentage, we can either multiply it by 100, or (my personal shortcut) just shift the decimal point over two places to the right.
0.65 = 65%
which is the answer to question 3.
written as a percent is 65%.
4. Writing a percentage as a fraction is a bit easier than writing a fraction as a percentage. All you need to do is place the percentage in the numerator's place of a fraction with 100 as the denominator and simplify.
2%5 =
Since 25 goes into 100 four times, we can simplify this fraction.
which is our answer.
25% written as a fraction is
.
5. This is the same as problem 3, so I won't show my work for the sake of time.
as a percentage is 40%.
6. This is the same as problem 1, so I will not show steps again.
as a decimal is 0.15.
7. Done similar problems in past. No work shown.
as a percent is 42%.
8. Same as last problem.
as a percent is 4%.
9. Same as number 4.
6% as a fraction is
.
10. Similar in past.
as a percentage is 60%.
11. Same as 6.
as a decimal is 0.48.
12. Done a lot of these so far.
as a percentage is 30%.
13. Just did one like this.
as a percentage is 75%.
14. Same as 4 and 9.
65% as a fraction is.
15. Plenty of these done in past.
as a percentage is 20%.
16. Last problem, and it's just like the one just before this.
written as a percent is 90%.
So there are the results.
Hope that helped! =)
2. To find
3. To write a fraction as a percentage, we must first convert it into a decimal, the way we did in problem 2.
Then to change that number into a percentage, we can either multiply it by 100, or (my personal shortcut) just shift the decimal point over two places to the right.
0.65 = 65%
which is the answer to question 3.
4. Writing a percentage as a fraction is a bit easier than writing a fraction as a percentage. All you need to do is place the percentage in the numerator's place of a fraction with 100 as the denominator and simplify.
2%5 =
Since 25 goes into 100 four times, we can simplify this fraction.
which is our answer.
25% written as a fraction is
5. This is the same as problem 3, so I won't show my work for the sake of time.
6. This is the same as problem 1, so I will not show steps again.
7. Done similar problems in past. No work shown.
8. Same as last problem.
9. Same as number 4.
6% as a fraction is
10. Similar in past.
11. Same as 6.
12. Done a lot of these so far.
13. Just did one like this.
14. Same as 4 and 9.
65% as a fraction is
15. Plenty of these done in past.
16. Last problem, and it's just like the one just before this.
So there are the results.
Hope that helped! =)
2. 7/10 as a decimal.
The easiest way to find the decimal form of a fraction is to make it out of 10 or 100. Since this one's already out of 10, we read it as "seven tenths."
Seven tenths as a decimal is 0.7, because the 7 is in the tenths spot.
7/10 as a decimal is 0.7
3. 13/20 as a percent
Percent means "one part in every hundered", so let's convert this fraction into something out of 100.
To do that, we need to multiply it by whatever number will turn the denominator into 100.
20 x 5 = 100
13 x 5 = 65
13/20 is equal to 65/100
Now, we take the numerator, and write it as a percent.
65/100 is 65%
Therefore 13/20 as a percent is 65%
4. 25% as a fraction.
We can do this one the opposite of #3.
25% is 25/100
And then we can just simplify. 5 goes into both 25 and 100, so let's use that first.
25 ÷ 5 = 5
100 ÷ 5 = 20
25/100 = 5/20
But we can simplify it further, if we want, because 5 goes into 5 and 20
5 ÷ 5 = 1
20 ÷ 5 = 4
25/100 = 5/20 = 1/4
So 25% as a fraction can be written as 25/100, or 5/20, or 1/4.
Now, #5-16 can all be done the same way as #2, 3, or 4, so I'll write out the math, but not the lengthy explanation for the rest.
5. 2/5 as a percent
5 x 2 = 10
2 x 2 = 4
4/10
10 x 10 = 100
4 x 10 = 40
40/100
40%
6. 9/20 as a decimal
20 x 5 = 100
9 x 5 = 45
45/100
0.45
7. 21/50 as a percent.
50 x 2 = 100
21 x 2 = 42
42/100
42%
8. 1/25 as a percent
25 x 4 = 100
1 x 4 = 4
4/100
4%
9. 6% as a fraction
6/100
6 ÷ 2 = 3
100 ÷ 2 = 50
3/50
6/100 or 3/50
10. 3/5 as a percent
5 x 20 = 100
3 x 20 = 60
60/100
60%
11. 12/25 as a decimal
25 x 4 = 100
12 x 4 = 48
48/100
0.48
12. 3/10 as a percent
10 x 10 = 100
3 x 10 = 30
30%
13. 3/4 as a percent
4 x 25 = 100
3 x 25 = 75
75/100
75%
14. 65% as a fraction
65/100
65 ÷ 5 = 13
100 ÷ 5 = 20
13/20
65/100 or 13/20
15. 1/5 as a percent
5 x 20 = 100
1 x 20 = 20
20/100
20%
16. 9/10 as a percent
10 x 10 = 100
9 x 10 = 90
90/100
90%
#17 and 18 require a bit more math, because they're lovely word problems.
17. Ashlee has finished 7/25 of her homework. What percent of the homework does Ashlee still need to finish?
First, let's turn 7/25 into a percentage.
25 x 4 = 100
7 x 4 = 28
28/100
28%
Now, we subtract 28% from 100% to find out how much she's got left
100 - 28 = 72
Ashlee has 72% of her homework left to finish.
18. Luz catches 83% of the balls in the outfield. What fraction of the balls does he not catch?
Let's turn 83% into a simple fraction, and work from there.
83%
83/100
We can simplify the answer later, but for now, to find the fraction he doesn't catch, we subtract the fraction from the whole.
100/100 - 83/100 = 17/100
17 is a prime number, so we can't reduce it down at all.
Luz doesn't catch 17/100 of the balls.
The easiest way to find the decimal form of a fraction is to make it out of 10 or 100. Since this one's already out of 10, we read it as "seven tenths."
Seven tenths as a decimal is 0.7, because the 7 is in the tenths spot.
7/10 as a decimal is 0.7
3. 13/20 as a percent
Percent means "one part in every hundered", so let's convert this fraction into something out of 100.
To do that, we need to multiply it by whatever number will turn the denominator into 100.
20 x 5 = 100
13 x 5 = 65
13/20 is equal to 65/100
Now, we take the numerator, and write it as a percent.
65/100 is 65%
Therefore 13/20 as a percent is 65%
4. 25% as a fraction.
We can do this one the opposite of #3.
25% is 25/100
And then we can just simplify. 5 goes into both 25 and 100, so let's use that first.
25 ÷ 5 = 5
100 ÷ 5 = 20
25/100 = 5/20
But we can simplify it further, if we want, because 5 goes into 5 and 20
5 ÷ 5 = 1
20 ÷ 5 = 4
25/100 = 5/20 = 1/4
So 25% as a fraction can be written as 25/100, or 5/20, or 1/4.
Now, #5-16 can all be done the same way as #2, 3, or 4, so I'll write out the math, but not the lengthy explanation for the rest.
5. 2/5 as a percent
5 x 2 = 10
2 x 2 = 4
4/10
10 x 10 = 100
4 x 10 = 40
40/100
40%
6. 9/20 as a decimal
20 x 5 = 100
9 x 5 = 45
45/100
0.45
7. 21/50 as a percent.
50 x 2 = 100
21 x 2 = 42
42/100
42%
8. 1/25 as a percent
25 x 4 = 100
1 x 4 = 4
4/100
4%
9. 6% as a fraction
6/100
6 ÷ 2 = 3
100 ÷ 2 = 50
3/50
6/100 or 3/50
10. 3/5 as a percent
5 x 20 = 100
3 x 20 = 60
60/100
60%
11. 12/25 as a decimal
25 x 4 = 100
12 x 4 = 48
48/100
0.48
12. 3/10 as a percent
10 x 10 = 100
3 x 10 = 30
30%
13. 3/4 as a percent
4 x 25 = 100
3 x 25 = 75
75/100
75%
14. 65% as a fraction
65/100
65 ÷ 5 = 13
100 ÷ 5 = 20
13/20
65/100 or 13/20
15. 1/5 as a percent
5 x 20 = 100
1 x 20 = 20
20/100
20%
16. 9/10 as a percent
10 x 10 = 100
9 x 10 = 90
90/100
90%
#17 and 18 require a bit more math, because they're lovely word problems.
17. Ashlee has finished 7/25 of her homework. What percent of the homework does Ashlee still need to finish?
First, let's turn 7/25 into a percentage.
25 x 4 = 100
7 x 4 = 28
28/100
28%
Now, we subtract 28% from 100% to find out how much she's got left
100 - 28 = 72
Ashlee has 72% of her homework left to finish.
18. Luz catches 83% of the balls in the outfield. What fraction of the balls does he not catch?
Let's turn 83% into a simple fraction, and work from there.
83%
83/100
We can simplify the answer later, but for now, to find the fraction he doesn't catch, we subtract the fraction from the whole.
100/100 - 83/100 = 17/100
17 is a prime number, so we can't reduce it down at all.
Luz doesn't catch 17/100 of the balls.
Answers
15. x-a=y^2
x=y^2+a
16. y=a/x
a=xy
x=y/a
x=y^2+a
16. y=a/x
a=xy
x=y/a
Hi There! :)
Help! Please tell me if my answers are correct. NOTE- THE ANSWER FOR QUESTION 16 IS A=YX
15.Yes you're right! :D
Help! Please tell me if my answers are correct. NOTE- THE ANSWER FOR QUESTION 16 IS A=YX
15.Yes you're right! :D
B: Arusha plans to build the prism and partially fill it with 150 cubic cm of sand. What fraction of the prism's volume will be filed by the sand?
Answers
the surface area of the prism if the edge lenght is 5 centimeters would be 2500 because we already know that 10 is the lenght of the prism so if the width is 5 then what you would have to do is 10*5 which is 50 and then you would do 50 to the 2nd power which equals 2500 and that is your answer :)
Answers
i think the LCD is gonna be 30
the LCD is 30. The fractions would be 9/30 and -8/30
Answers
propportinal
means that the points are inproportion
ratios
1:3=2:6=3:7
1/3=2/6=3/7
1/3=1/3=3/7
false
therefor it is not poropoortional
another way is to graph the points and see if a straight line can go though all of them
it can go thoruhg the first 3 but not eh 4th pont (3,7)
not proportional
means that the points are inproportion
ratios
1:3=2:6=3:7
1/3=2/6=3/7
1/3=1/3=3/7
false
therefor it is not poropoortional
another way is to graph the points and see if a straight line can go though all of them
it can go thoruhg the first 3 but not eh 4th pont (3,7)
not proportional
Answers
Well this is not a problem solving answer, it’s a character based answer on YOUR opinions, for example I could attend this with a response of
Buy from Lancaster Archery Supply
And the cost varies on what type of bow she is trying to purchase.
Buy from Lancaster Archery Supply
And the cost varies on what type of bow she is trying to purchase.