A square garden with a side length 150 m has a square swimming pool in very center with a side length 25 m .Calculate the area of the garden.
Final answer:
Calculate the area of a square garden with a swimming pool in the center.
Explanation:
The area of the garden can be calculated by finding the area of the square garden and subtracting the area of the square swimming pool.
Area of the square garden:
Area = side length × side length
= 150 m × 150 m = 22500 m²
Area of the swimming pool:
Area = side length × side length
= 25 m × 25 m = 625 m²
Area of the garden: 22500 m² - 625 m² = 21875 m²
Therefore, the area of the garden is 21875 m².
Identify the percent, amount, and base in this problem.
75% of what number is 30?
a. Percent = 30%, Amount = 75, Base = unknown
b. Percent = 75%, Amount = unknown, Base = 30
c. Percent = 75%, Amount = 30, Base = unknown
d. Percent = unknown, Amount = 30, Base = 75
The Percent = 75% , base = unknown.
And the base is the number that follows " of " amount = 30.
Given that,
75% of what number is 30.
We have to determine,
Identify the percent, amount, and base in this problem.
According to the question,
Percentage means a number or a ratio represented in the form of fractions of 100. It is represented using the percentage sign ‘%’.
The percentage is defined as how much of one quantity is made by another quantity and it is evaluated in terms of 100.
The percentage is used to express fractions of a whole, while percentiles are the values below which a certain percentage of the data in a data set is found.
Therefore, Percent = 75% , base = unknown.
And the base is the number that follows " of " amount = 30
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suzanne buys 6 paints sets. each set contains the same number of brushes. she buys 18 brushes.how many bruxhes are in each paint set?
what is the answer to 50.28 divided by 4 (long division) PLEASE SHOW YOUR WORK
Write 1,340,000,000,000 in expanded form with exponents
How do you solve a Rubik's Cube?
Mr. Arcinega will buy water bottles for the 7,175 runners who entered the Tri-State 5k Fun Run. The water bottles are packaged 18 per case. What is the least number one water bottle? A 398 B 380 C 399 D 400 PLEASE HELP
Niall owes $187 to his cousin. However, he doesn't have any money right now. He hopes to earn some money by painting a house. He gets paid $34 for every 2 hours he paints. Which equation of a line models y, the amount of money he will have after paying back his cousin, in terms of x, the number of hours he spends painting?
Answer:
[tex]y=17x-187[/tex] where x>11
Step-by-step explanation:
Niall gets $34 for 2 hours.
So, he gets [tex]34/2=17[/tex] dollars per hour.
Now, he owes $187 to his cousin.
Let the number of hours he works be = x
Let the money left with him after paying his cousin be = y
So, the equation forms:
[tex]y=17x-187[/tex]
Rather we can say it is :
[tex]y=17x-187[/tex] where x>11
If we want to know how many hours are needed to pay the debt, we can consider y = 0
[tex]17x-187=0[/tex]
[tex]17x=187[/tex]
[tex]x=187/17[/tex]
So, x = 11 hours
So, Niall needs 11 hours of work to pay back his cousin and after that all his earnings is 'y'. When x>11 then 'y' will have some money left.
It cost $3.99 for 25 fl. oz. of detergent or $6.99 for 90 fl. oz. Which is a better buy?
$6.99 for 90 fl. oz of detergent is a better buy.
Arithmetic operations is a concept that concerns the study of mathematical operations like addition, subtraction, division, and multiplication.
The determination on the type which is a better buy can be estimated by finding the cost of each detergent in the two cases.
For the first case, we are being told that It cost $3.99 for 25 fl. oz. of detergent.
From that, the price for 1 fl. oz will be:
[tex]\mathbf{x = \dfrac{3.99 \times 1 }{25}}[/tex]
x = $0.1596
For the second case, if the price for 90 fl. oz is $6.99
For 1 fl.oz, we have:
[tex]\mathbf{x = \dfrac{6.99 \times 1 }{90}}[/tex]
x = $0.0777
Therefore, we can conclude that $6.99 for 90 fl. oz of detergent is a better buy since the amount of each detergent is lesser than that of 25 fl. oz.
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A textbook costs $65.49 before tax the tax on the text book is 6.5% what is the total cost of the textbook?
Solve in simplest form 2t=4/7
41 2/3% as a fraction in simplest form
Students at a high school filled out a survey. The results showed that out of 640 students, 331 speak more than one language. How many students speak only one language?
Answer:
309
Step-by-step explanation:
640 - 331 = 309
What is the value of m?
2/3m + 3 - 5/6m = -15
A book sold 32,500 copies in its first month of release. Suppose this represents 8.4% of the number of copies sold to date. How many copies have been sold to date?
four students spent $12 on school lunch at this rate find the amount 10 students would spend on the same school lunch
Simplify. –2 • (4) – 3 • (–5) = A. 55 B. 7 C. –23 D. –120
What is 7/8-1/2 in simplest form
To subtract fractions like 7/8 - 1/2 and simplify the result, find a common denominator and perform the subtraction to get 3/8.
To subtract fractions with different denominators like 7/8 - 1/2 and express the result in simplest form, you need to find a common denominator. In this case, the common denominator is 8. So, we rewrite both fractions with a common denominator of 8:
7/8 - 4/8 = 3/8
Therefore, 7/8 - 1/2 = 3/8 in simplest form.
Please help me by those math problems!
the ratio of oxygen atoms to sulfur atoms in sulfar atoms in aulfar
The equivalent ratios from the table is 6/12 =9/18 =21/42 =27/54.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, the ratio of oxygen atoms to sulfur atoms in sulfur dioxide is always same.
From the table, the ratio is
6:12
6/12 =9/x
6x=108
x=18
6/12 =21/y
1/2=21/y
y=42
6/12 =z/54
1/2 =z/54
z=27
Therefore, the equivalent ratios from the table is 6/12 =9/18 =21/42 =27/54.
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$7.59 divided by 2.2 ?
The quotient of two numbers is $3.45.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Given that, $7.59 divided by 2.2.
Now, 7.59 ÷2.2
= 7.59/2.2
= $3.45
Therefore, the quotient of two numbers is $3.45.
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Final answer:
The division of $7.59 by 2.2 results in approximately 3.45. This can be calculated using long division or a calculator after adjusting for the decimal in the divisor.
Explanation:
The student has asked how to divide the number $7.59 by 2.2. This is a basic arithmetic operation involving division. To perform this division, you can use long division or a calculator. When you divide $7.59 by 2.2, you will get approximately 3.45, which is the quotient. Here's a step-by-step breakdown:
Set up the division with $7.59 as the dividend and 2.2 as the divisor. Since we are dividing by a decimal, we can move the decimal point of the divisor (2.2) to the right to make it a whole number (22). Simultaneously, we also move the decimal point in the dividend (7.59) the same number of places to the right, changing it to 759. Now, divide 759 by 22 using long division or a calculator. The result is approximately 34.5, but since we moved the decimal one place to the right, we must move it back one place to the left in our answer, resulting in 3.45.Write 5 hundred + 56 ones in standard form
Mindy read 8 pages of her book the first day, 15 pages the second day, and 22 pages the third day. if the pattern continues , how many pages of her book will she read on the sixth day
Find the perimeter and area of this rectangle 12 in by 6.5 in
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Jenny has 50 square tiles. She arranges the tile into a rectangular array of 4 rows.How many tiles will be left over?
What is 1/3x -5/7 equal to
what is one third plus one fourth equal to a mixed number
The mixed number equivalent to 7/12 is 0 and 7/12.
To add one-third and one-fourth, we need to find a common denominator. The least common multiple of 3 and 4 is 12.
Converting both fractions to have a denominator of 12:
1/3 = 4/12
1/4 = 3/12
Now, we can add the fractions:
4/12 + 3/12 = 7/12
The sum of one-third and one-fourth is 7/12. To express this as a mixed number, we need to divide the numerator (7) by the denominator (12):
7 ÷ 12 = 0 remainder 7
Therefore, the mixed number equivalent to 7/12 is 0 and 7/12.
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What is -2 plus 2X equalsNegative X plus 2 plus x
Answer:
x=2
Step-by-step explanation:
-2 + 2x = -x + 2 + x
-2 + 2x = -x + x + 2
-2 + 2x = 2
+2 +2
2x = 4
Divide 4 by to 2 in order to isolate the variable and then you get the answer of 2.
Word problems for 5x=45