A rectangular lawn has an area of 153 square meters and a perimeter of 52 meters what are the dimensions of the lawn
The rectangular lawn's dimensions that match the given area (153 square meters) and perimeter (52 meters) are 17 meters in length and 9 meters in width.
Explanation:This problem is solved using the formulae for the area and the perimeter of a rectangle. The area is given by Area = length x width and the perimeter by Perimeter = 2 x (length + width). Because we know both the area and the perimeter of the rectangle, we have a system of two equations and two unknowns. Given that the area is 153 and the perimeter is 52, we can write the equations as follows: lw = 153 and 2l + 2w = 52.
By solving this system of equations, we find that the dimensions of the rectangle that satisfy these two equations are length = 17 meters and width = 9 meters. Therefore, the lawn's dimensions are 17 meters in length and 9 meters in width.
Learn more about Rectangular Dimensions here:https://brainly.com/question/30688709
#SPJ2
simplify 7(2.3x10^11) and write in scientific
notation
What is the answer to 12-D=1.43
A poll has a percent error of 4%. The poll states 15,000 people will vote for Candidate A in the next election. Which statement describes what the actual number of people voting for Candidate A could be?
A. The actual number of people is either 9,000 or 21,000.
B. The actual number of people is either 14,400 or 15,600.
C. The actual number of people is either 14,423 or 15,625.
D. The actual number of people is either 14,940 or 15,060.
what is 684/12 btw the slash represents divison
Write 5 5/9 as a improper fraction
What percent of 60 is 15?
Show Work
What number is 15% of 60?
Show Work
What percent of 50 is 18?
Show Work
12 is 90% of what number ?
what is the probability of drawing a penny without looking?
cynthia's favorite clothing store is having a 30% off sale.what fraction represents 30%
if a fish swims 7/8 of the depth of 32 foot deep lake, how many feet down did the fish swim?
The fish swam 28 feet down in the 32-foot deep lake.
To find out how many feet down the fish swam, we can multiply the depth of the lake by the fraction representing the proportion it swam.
The depth of the lake is given as 32 feet, and the fish swam 7/8 of this depth.
Multiplying 32 by 7/8:
32 * (7/8) = 224/8 = 28
Therefore, the fish swam 28 feet down in the 32-foot deep lake.
To know more about fraction:
https://brainly.com/question/10354322
#SPJ6
A bicycle cost $ 129.50. You pay $7.77 in sales tax. What is the tax rate?
a certin shade of green paint is made from 5 parts yellow mixed with three parts blue. if 2 cans of yellow are used, how many cans of blue should be used?
subtract the product of 3 and 4 from 36. then divide the quotient of 9 and 3, subtracted from fifteen
Use conversion factors to convert . Write the factor you used . 5 quarts to cups
To convert 5 quarts to cups, multiply 5 by the conversion factor of 4 cups per quart, resulting in 20 cups.
Explanation:To convert from quarts to cups, you need to use a conversion factor. The conversion factor for converting quarts to cups is 1 quart = 4 cups. Therefore, to convert 5 quarts to cups, you need to multiply the number of quarts by the conversion factor.
The calculation is as follows:
Start with the number of quarts you have, which is 5.Multiply 5 quarts by 4 cups/quart (since there are 4 cups in a quart).The calculation will be 5 × 4 = 20.Therefore, 5 quarts is equal to 20 cups.
mr. Scruggs got some money for his birthday he spent one fifth of it on dog treats that he divided the remainder equally among his three favorite charities
c − 3.5 ≤ 3.5 plz help me
If two sides of an isosceles triangle each measure 1/4 inch and the third side measures 3/8 inch what is the perimeter of the triangle
colton's recipe makes 2 dozen brownies. his recipe calls for 7/8 cup of vegetable oil. how much oil will colton need to make 6 dozen brownies?
Final answer:
Colton will need 2 5/8 cups of vegetable oil to make 6 dozen brownies. This is calculated by tripling the original required amount of 7/8 cup of oil needed for 2 dozen brownies.
Explanation:
Colton's recipe for brownies specifies that 7/8 cup of vegetable oil is needed to make 2 dozen brownies. To find out how much oil is required for 6 dozen brownies, we need to calculate the amount of oil for triple the original quantity since 6 dozen is three times 2 dozen. First, we set up a proportion where 2 dozen corresponds to 7/8 cup of oil.
Mathematically, we can find the amount of oil needed for 6 dozen by multiplying the amount of oil for 2 dozen by 3 (since 6 is three times larger than 2):
Multiply 7/8 cup by 3.
7/8 × 3 = 21/8 cups.
Convert 21/8 cups to a mixed number to get 2 5/8 cups.
Therefore, Colton will need 2 5/8 cups of vegetable oil to make 6 dozen brownies.
A vase can hold 7 flowers. If a florist had 67 flowers she wanted to put equally into vases, how many flowers would be in the last vase that isn't full.
show one way to count from 82 to 512
To count from 82 to 512, you can do so by adding 10 to each preceding number starting from 82 until you reach 512.
Explanation:One way to count from 82 to 512 is to count by multiples of 10, which are also known as 'tens'. Begin by starting at the number 82 and adding 10 to get 92. Then, continue adding 10 to each resulting number. Continue this process until you reach the number 512. So, the sequence would look like this: 82, 92, 102, 112... until you eventually reach 512.
Note: This is just one simple method. Depending on the circumstances, you might want to count by other numbers. For instance, you could count by 20's or 50's. Each will yield a different number of steps, and some might be more efficient than others depending on the context.
Learn more about Counting here:https://brainly.com/question/32538222
#SPJ2
A ramp used to remove furniture from a moving truck has a slope of 2/5.
The height of the ramp is 4 feet. How far does the base of the ramp extend from the end of the truck?
If a 4-pound roast takes 150 minutes to cook, how long should a five-pound roast take
To roast a five-pound roast takes 187 minutes and 30 seconds at the same rate.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
A 4-pound roast takes 150 minutes
So,
4-pound ⇔ 150 minutes
Divide by 4 on each side,
1-pound ⇔ 150/4 minutes
Multiply by 5
5-pound ⇔ (150×5)/4 minutes
5-pound ⇔ 187.5 minutes
5-pound ⇔ 187 minutes and 30 seconds.
Hence "To roast a five-pound roast takes 187 minutes and 30 seconds at the same rate".
For more information about ratio and proportion,
brainly.com/question/26974513
#SPJ2
the insect exhibit at the museum has 8 display cases with 417 insects in each case. write and solve an equation tov show how many insects are displayed at the museum.
write the word sentence as an equation.
The quotient of two times a number k and -2.6 is 12\
The word sentence 'The quotient of two times a number k and -2.6 is 12' translates to the equation (2 × k) / -2.6 = 12. Solving for k gives k = -15.6.
The sentence describes 'the quotient of two times a number k and -2.6 is 12'. Quotient refers to the result of division. Therefore, the equation that represents this sentence is:
(2 × k) / -2.6 = 12
To find the value of k, you would multiply both sides by -2.6 and then divide by 2:
-2.6 × 12 = 2 × k => -31.2 = 2 × k
k = -31.2 / 2 => -15.6
Brian bought a pair of jeans that was on sale for one third of its original price. Including the 3.76 sales tax, he paid $29.17. What was the original price of the jeans?
A theater company charges $4.50 per ticket for people of all ages. If c represents the total number of children who bought tickets and represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets?
The result of subtracting 2 from its opposite is _____.
0
1
4
-4
Answer: it's four
Step-by-step explanation:
Answer:
its -4
Step-by-step explanation:
how do you write 70% as a fraction in simplest form ?
To convert 70% to a fraction, write it as 70/100 and simplify by dividing both the numerator and the denominator by 10 to get 7/10.
To convert 70% to a fraction in simplest form, you first write it as a fraction with a denominator of 100, which would be 70/100. Then, to simplify the fraction, you find the greatest common divisor (GCD) that 70 and 100 have in common. Both numbers are divisible by 10, so when you divide both the numerator and the denominator by 10, you get 7/10. In this simplest form, the numerator is 7 and the denominator is 10, which is the fraction equivalent of 70%.
A bowl contains 15 granola bars and 10 fruit bars.
What is the ratio of granola bars to fruit bars?
Enter your answer in simplest fractional form in the box
Answer
Find out the what is the ratio of granola bars to fruit bars .
To prove
As given
A bowl contains 15 granola bars and 10 fruit bars.
The ratio of the granola bars to fruit bars is written as .
[tex]\frac{Number\ of\ granola\ bars}{Number\ of\ fruits\ bars} = \frac{15}{10}[/tex]
Simplify the above
[tex]\frac{Number\ of\ granola\ bars}{Number\ of\ fruits\ bars} = \frac{3}{2}[/tex]
Therefore
[tex]the\ ratio\ of\ the\ granola\ bars\ to\ fruit\ bars\ be\ \frac{3}{2} .[/tex]
A paddle boat rents for $10 plus $8 per hour. How much does it cost to rent a paddle boat for h hours?