Answer:
8 miles per hour
Step-by-step explanation:
Given that a person runs a distance of 1/ 4 of a mile in 1/ 32 of an hour.
We have to compute the unit rate by setting up a complex fraction and simplifying
Let us find distance travelled in one hour.
[tex]\frac{1}{32} hour .... \frac{1}{4} miles\\1 hour ... \frac{1}{4} /\frac{1}{32}\\=\frac{32}{4} =8mph[/tex]
i.e. unit rate is he travels in one hour 8 miles.
Unit rate is normally for a single unit and other unit is left correspondingly
Here hour or time is made as unit i.e. one hour and distance travelled in one hour is calculated as 8 miles per hour.
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.
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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.
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
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?
simplify 7(2.3x10^11) and write in scientific
notation
Write a decimal that is less than 5.89 and greater than 4.27
One third of eleven sixteenths
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.
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James was able to correctly name 11 major highways,4 mountains,86 major cities,and 9 bodies of water on a map.How many places on the map did James identify?Explain how you can use compatible numbers to help calculate the sum
Using the mathematical operation of addition, we know that James identified a total of 110 places on the map.
What is addiction? In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation. It is one of the fundamental mathematical operations we employ on a daily basis. We employ number addition in a variety of contexts. When working with time or money, such as when adding up invoices and receipts, adding numbers is one of the most frequently used operations in daily life. The "+" sign is used to denote the addition of numbers (also called the plus symbol).The places which James correctly named on the map are:
11 major highways4 mountains86 major cities 9 water bodiesSo, to know how many of the places James identify, we should take the sum of all the places as follows:
11 + 4 + 86 + 9110Therefore, using the mathematical operation of addition, we know that James identified a total of 110 places on the map.
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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]
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
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 ?
A women who is 5 feet 5 inches tall is standing near the Space Needle in Seattle, Washington. She casts a 13-inch shadow at the same time that the Space Needle casts a 121 foot shadow. How tall is the Space Needle
To find the height of the Space Needle, a proportion is set up comparing the woman's height and shadow length to the Space Needle's shadow length. The calculation reveals that the Space Needle is approximately 60.83 feet tall.
Explanation:The student is asking to solve a proportion problem to determine the height of the Space Needle in Seattle, Washington. This is based on the concept of similar triangles where two figures have the same shape but different sizes, and the sides are in proportion. Since the woman who is 5'5" (which is equivalent to 65 inches) tall casts a 13-inch shadow, we can set up a proportion where the height of the Space Needle is to its shadow (121 feet or 1452 inches) as the woman's height is to her shadow. The proportion looks like this:
Height of Space Needle / 1452 inches = 65 inches / 13 inches
By cross-multiplication, we can solve for the height of the Space Needle:
Height of Space Needle * 13 inches = 65 inches * 1452 inches
Height of Space Needle = (65 * 1452) / 13
Height of Space Needle = 9490 / 13
Height of Space Needle = 730 inches
To convert this back to feet, we divide by 12, since there are 12 inches in a foot:
Height of Space Needle = 730 inches / 12 inches/foot = 60.83 feet (approximately)
Therefore, the Space Needle is approximately 60.83 feet tall, based on the given shadows and the woman's height.
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?
what is 684/12 btw the slash represents divison
An online bookstore sells 0.8% of its books to foreign customers what fraction of the books or so to foreign customers
The fraction of books that were sold by the online bookstore to foreign customers is equal to [tex]\frac{8B}{100}[/tex].
Let the total number of books sold be B.Given the following data:
Percentage of books sold = 0.8%To determine the fraction of books that were sold by the online bookstore to foreign customers:
In Mathematics, a fraction can be defined as a numerical quantity that isn't a whole number. Thus, a fraction is simply a part of a whole number.
First of all, we would convert the percentage of books sold in decimal to fraction.
Conversion:
0.8% = [tex]= \frac{8}{100}[/tex]
Next, we would multiply the total number of books sold by this fraction:
[tex]Fraction\;sold =\frac{8}{100} \times B\\\\Fraction\;sold =\frac{8B}{100}[/tex]
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a bag contains green, yellow, and orange marbles. the ratio of green marbles to yellow marbles is 2:5. The ratio of yellow marbles to orange marbles is 3:4. What is the ratio of green marbles to orange marbles?
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.
subtract the product of 3 and 4 from 36. then divide the quotient of 9 and 3, subtracted from fifteen
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".
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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:
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.
A bicycle cost $ 129.50. You pay $7.77 in sales tax. What is the tax rate?
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.
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?
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
What is the answer to 12-D=1.43
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%.
what is the probability of drawing a penny without looking?