What percent is equivalent to the fraction 37/50?
Answers
So 74% is equal to the fraction 37/50.
The given fraction is equivalent to a percentage of 74%.
One of the parts of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator is divided by the denominator.
When a fraction of a whole is represented as a number between 0 and 100, it is called a percentage.
To calculate a percentage, multiply the result by 100 after dividing the part of the whole by the entire.
The given fraction is 37/50. In order to calculate the percentage of this fraction, first we need to find the value of this fraction and then multiply the resulting value with 100.
So,
37/50 = 0.74
Multiplying the value with 100,
Percentage of 0.74 = 0.74 x 100 = 74%
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Answers
The new average will be 89.55%.
What is an average?
The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.
It is given that,
Average score after 8 tests = 91%.
Therefore, Total score of 8 tests = Average score*Number of tests
Total score of 8 tests = 91*8
Total score of 8 tests = 728
Now, Cory scored 78% in 9th test,
So, Total score of 9 tests = Total score of 8 tests + 78
Total score of 9 tests = 728 + 78
Total score of 9 tests = 806
Hence, Average score of 9 test = Total score of 9 tests/9
Average score of 9 test = 806/9
⇒ Average score of 9 test = 89.55%
Hence, the new average will be 89.55%.
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8 tests will be 8x91 = 728
Then add on his latest test result 728+78 = 806
Now divide by the number of tests (9) 806/9 = 89.55555555
89.555%
Aaron’s rate for mowing lawns is 0.5 acres per hour.
The ratio of acres to time is 5 acres to 3 hours.
The rate to mow a lawn is 0.6 hours per acre.
Answers
Answer:
Aaron’s rate for mowing lawns is 0.5 acres per hour.
Step-by-step explanation:
We are given that x denotes the time in hours it takes to mow a lawn and y denotes the size of the lawn in acres.
Now Two of his points are (3, 1.5) and (5, 2.5)
Slope :
Thus Aaron’s rate for mowing lawns is 0.5 acres per hour.
Hence Option B is correct
as
1.5 acres / 3 hours = 0.5 acres an hour
2.5 acres / 5 hours = 0.5 acres an hour
what is the value of x?
Answers
x = 2
The answer is: x = 2.
Answers
Answer:
A solution to an equation is a value of a variable that makes the equation true. From the statement "Which value of x satisfies the equation", we need to understand that, we have to find the value of x from the given question.
Let us see some example problems based on the above concept.
Example 1 :
Which value of x is the solution of the equation
(2/3) x + (1/2) = (5/6) ?
Solution :
(2/3) x + (1/2) = (5/6)
(2x/3) + (1/2) = (5/6)
(4x + 3)/6 = (5/6)
Multiply 6 on both sides
4x + 3 = 5
Subtract 3 on both sides
4x + 3 - 3 = 5 - 3
4x = 2
Divide by 4 on both sides
4x/4 = 2/4
x = 1/2
Hence the value 1/2 will satisfy the above equation.
Example 2 :
Which value of x is the solution of the equation
(2/3) x + (x/6) = 5 ?
Solution :
(2x/3) + (x/6) = 5
(4x/6) + (x/6) = 5
(4x + x)/6 = 5
5x/6 = 5
Multiply by 6 on both sides
5x = 5 (6)
5x = 30
Divide by 5 on both sides
x = 30/5 = 6
Hence the value 6 will satisfy the above equation.
Example 3 :
The number of people on the school board is represented by x. Two subcommittees with an equal number of members are formed, one with (2x/3) − 5 members and the other with x/4 members. How many people are on the school board?
Solution :
From the above question, we come to know that we have to solve for x, that makes the statement true.
(2x/3) − 5 = x/4
(2x - 15)/3 = x/4
Multiply 3 on both sides
2x - 15 = 3x/4
Multiply by 4 on both sides
4(2x - 15) = 3x
8x - 60 = 3x
Subtract 3x on both sides
8x - 3x - 60 = 0
5x - 60 = 0
Add by 60 on both sides
5x - 60 + 60 = 0 + 60
5x = 60
Divide by 5 on both sides
x = 60/5
x = 12
Example 4 :
What is the value of x in the equation
(x − 2)/3 + 1/6 = 5/6 ?
Solution :
(x − 2)/3 + 1/6 = 5/6
(2(x - 2) + 1)/6 = 5/6
multiply by 6 on both sides
(2x - 4 + 1) = 5
2x - 3 = 5
Add 3 on both sides
2x - 3 + 3 = 5 + 3
2x = 8
Divide by 2 on both sides
x = 8/2
x = 4
Step-by-step explanation:
Final answer:
The value of x that satisfies the equation 2/3x + 4 = 3/2(x-4) is 8.4
Explanation:
To find the value of x that satisfies the equation 2/3x + 4 = 3/2(x-4), we first distribute 3/2 into the parenthesis to get 2/3x + 4 = 3/2x - 3/2. Now isolate x on one side of the equation. To eliminate fractions, multiply all terms by 6 giving 4x + 24 = 9x - 18. Rearrange the terms to form a linear equation 5x = 42, hence x = 42 / 5 = 8.4 is the solution to the equation.
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Answers
Principal = 328,133.32
Interest rate = 6.2%, compounded monthly
term = 25 years
A = P (1 + r/n)^nt
A = 328,133.32 (1 + 6.2%/12)^12*25
A = 328,133.32 (1 + 0.0052)^300
A = 328,133.32 (1.0052)^300
A = 328,133.32 (4.74)
A = 1,555,351.94 Total value after 25 years.
1,555,351.94 / 300 months = 5,184.51 per month.
Answer:The correct answer is B:2,154
Step-by-step explanation:
Answers
Answer:
≈93.6
Step-by-step explanation:
percent right = answers right/ anwers wrong
Answers right= 47-3=44
%=44/47
≈93.6