if the amount of white sugar were increased by a factor of 2 1/2, in cups how much white sugar would there be
A. 2 1/2
B. 2 3/5
C. 1 2/3
D. 1 3/5
To find the amount of white sugar if it were increased by a factor of 2 1/2, multiply the original amount by 2 1/2. The answer is A. 2 1/2 cups.
Explanation:To find the amount of white sugar if it were increased by a factor of 2 1/2, we need to multiply the original amount by 2 1/2. Let's assume the original amount is x. Multiplying x by 2 1/2 gives us:
x × 2 1/2 = x × 2 + x × 1/2 = 2x + (1/2)x = (4/2)x + (1/2)x = (5/2)x
So, the amount of white sugar after it is increased by a factor of 2 1/2 is (5/2)x cups. This is equivalent to 2 1/2 times the original amount of white sugar. Therefore, the answer is A. 2 1/2 cups.
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It takes a person 30 minutes to gather 1 basket of fruit. Working at the same rate, how many baskets can 25 people gather in 8 hours?
What is the 7.2222222222..... as a rational number?
The repeating decimal 7.2222222222... as a rational number is 7 2/9. The conversion involves setting the repeating decimal equal to x, scaling it by a power of 10, subtracting the original number, and then solving for x to find the equivalent fraction.
Explanation:The number 7.2222222222..., when expressed as a rational number, is the fraction 7 2/9. To convert a repeating decimal to a fraction, you can use the following steps:
Let x equal the repeating decimal, so x = 7.2222222222...Multiply x by a power of 10 that moves the decimal point to the right just before the repeating digits start. In this case, we use 10x to get 10x = 72.222222222...Subtract the original number (x) from this new number (10x). Doing this will get 10x - x = 72.222222222... - 7.222222222... = 65.Since 10x - x = 9x, we now have 9x = 65. Therefore, x = 65/9, which simplifies to 7 2/9.This process shows how to express the repeating decimal as a fraction and thereby convert it into a rational number.
A road has a speed limit of 40 mi/h. Write an inequality that describes the legal speeds r for motor vehicles.
a r < 40
b r <_40
c r _> 40
d r > 40
what is x? x^2+(x+1)^2=145
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Angelica swims 14 3/7 hours per month. If she swims the same amount every month, how many hours does she swim in 6 months?
If there are 5,280 feet in a mile, how many feet are in 2.6 miles?
in 1525 German print-maker Albrecht Durer first used the word net to describe a printed pattern that folds up into a three dimensional shape. Why do you think he choose to use the word net?
Albrecht Dürer used the term 'net' to describe a pattern because of its geometric nature and the way it mirrors a literal fishing net, which can be both flat and three-dimensional. His background in printmaking and geometry likely influenced this descriptor, showing his dedication to precision and instruction in visual arts.
The term net used by Albrecht Dürer in 1525 refers to a pattern that when folded, creates a three-dimensional shape. Dürer, a prominent figure in the Northern Renaissance, was a master in various forms of visual art. He possessed expertise in painting, printmaking, and had an understanding of geometrical principles as well as the new technology of print. The use of the word 'net' to describe a flattenable 3D pattern aligns with Dürer's keen attention to detail, precision, and geometry in his artworks. His choice of the term could have been inspired by the resemblance of the interconnected lines in a pattern to a fishing net, which can be spread out flat but typically exists in a more complex, three-dimensional form.
Through his prints and craft manuals, Dürer contributed to the dissemination of knowledge on artistic techniques and the use of geometry in art. His detailed illustrations often acted as visual instructions, which would align with the concept of a 'net' aiding in the construction of a three-dimensional understanding of shapes and forms. The term might have been quite intuitive for someone with Dürer's graphical sensibility, as it connects the craft of design with a term that people could visualize and comprehend easily.
how many pairs of intersecting line segments does a cube have?
x^2+xy=20 and y^2+xy=30 what is xy?
What is the value of 6 cubed?What is the value of 6 cubed?
12
36
72
216
The value of 6 cube or 6×6×6 or 6³ is 216.
What is a perfect square number?A perfect square number when taken the square root of it results in an integer.
Numbers that are not perfect squares when taken the square root of it are irrational numbers.
One method of obtaining square roots for perfect squares is prime factorization.
Now, A perfect cube number is which when taken cube root results to an integer.
A number multiplied by itself by twice results in a cube of that number.
Therefore, The value of 6 cube would be 6 multiplied twice to itself, which is, = 6×6×6 = 36×6 = 216.
It can also be written as exponent form which is, 6³.
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You paint 1/2 wall in 1/4 hour. At that rate, how long will it take you to paint one wall?
In un rettangolo la somma delle sue dimensioni misura 154 cm e queste sono una i 5/6 dell'altra.Calcola l'area del rettangolo.
L'area del rettangolo in questione è 6449.5 cm quadrati, calcolata risolvendo l'equazione che unisce le due lunghezze date.
Explanation:In questo problema matematico, siamo interessati a trovare l'area di un rettangolo. Sappiamo che la somma delle lunghezze dei due lati del rettangolo è 154 cm e che un lato è 5/6 della lunghezza dell'altro .
Possiamo iniziare ponendo x come la lunghezza più corta e 5x/6 come la lunghezza più lunga, in quanto è 5/6 della lunghezza di x. Sommando questi due valori, otteniamo l'equazione: x + 5x/6 = 154. Risolvendo questa equazione, otteniamo x = 88 cm.
Il lato più lungo del rettangolo sarà quindi 5/6 * 88, che è uguale a 73.33 cm. Per calcolare l'area del rettangolo, moltiplichiamo la lunghezza con la larghezza: 88 cm * 73.33 cm = 6449.5.
Quindi, l'area del rettangolo è 6449.5 cmquadrati.
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What is 0.623 divided by 0.07
The solution to the division of 0.623 by 0.07 is;
8.9
We want to divide 0.623 by 0.07.
This is;
0.623/0.07
Now, to solve this easily, let's make use of multiplication property of equality where if we multiply the numerator and the denominator by the same number, we will still get the same answer.
Let's multiply numerator and denominator by 100 to get;
(0.623 × 100)/(0.07 × 100)
⇒ 62.3/7
Dividing this gives us a final answer of; 8.9
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Two bicyclists are 180 miles apart when they start racing towards each other. If their speeds are 14 mph and 16 mph respectively, how long will it be before they are twenty miles apart?
Answer:
5 1/3 hours
Step-by-step explanation:
Answer:
5 1/3 hours or 320 minutes
Step-by-step explanation:
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owen's bedroom has a perimeter of 46 feet if the length is 11 feet, what is the width of the bedroom anwer
To start off, identify your equation. You know P= 46, and L= 11, so you need to find W=. To do that, first you need to double your length, and width. So, L now equals 22, and W now equals 2W. Now, add W, and L, and it will need to be the original number. Simply subtract 22, from your product, and divide by two, and you'll have W. Here's what the equation should look like.
(2 * 11) + 2W= 46
22 + 2W= 46
46 - 22= 24
2W= 24
W= 12 ft. Or, the width is 12 feet.
A store buys a jacket for $20.00 and then sells it to customers for 80% more than that. What is the selling price of the jacket?
A.$16.00
B.$36.00
C.$24.00
D.$28.00
Please explain how you got the answer
The selling price of the jacket is $36. so the correct option is B.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
Given that store buys a jacket for $20.00 and then sells it to customers for 80% more than that.
We need to add 80% of $20 to $20.
Therefore, First we calculate 80% of $20.
80% of $20
= 80% x $20
= 0.80 x $20
= $16
So 80% of $20 is $16.
This is the amount the store adds to the cost called as the markup.
Now we add the cost $20 and the markup $16.
$20 + $16 = $36
Thus The selling price is $36
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What is the domain of the function y= square root of x-10
Which of the following best describes the square root of 12
What is 20 tiles in 5 rows array
hours worked / pay 2/$15.00 4/$30.00 6/$45.00 8/$60.00 A/p=7.50h B/ p=15h C/ p=h+15 D/h=7.50p
Answer:
The answer is D. p=7.50h
A baseball dropped from the roof of a tall building takes 5.23 second s to reach the ground. How tall is the building?
The domain of the function given below is the set of all real numbers greater than 1/2 f(x)=(1/2)^x
The function f(x) = (1/2)^x accepts any real number as an input, so its natural domain is the set of all real numbers. However, the question specifies that the domain is all real numbers greater than 1/2, which might be due to the context in which this function is used.
Explanation:The function f(x) = (1/2) x is a function that will accept any real number as an input. Therefore, the natural domain of this function would be the set of all real numbers. However, in your question, the function is given a specific domain, that is, all the real numbers greater than 1/2. This domain restriction might be due to the context in which this function is used.
Remember, the domain of a function is the set of all possible input values (x-values) that will give a valid output value (f(x)). For example, in the function f(x) = 1/x, the domain is all real numbers except zero because we cannot divide by zero.
In your function f(x) = (1/2)x, there is no value of x that will result in a not defined output, so unless stated otherwise, the domain is all real numbers. However, here we are given that the domain is all real numbers greater than 1/2.
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Which of the ratios below can be used to finish the proportion
5/12 = ... ?
Select all correct answers.( The slashes are fraction bars not division signs!!)
(A) 0.25/0.6 (B) 40:96 (C) 1/2 over 1 and 2/5 (D) 1.5:3.6 (E) 1/3 over 0.8
Thanks so much I don't get this!
Mr nielson works 154 hours each month He works 8 months each year. How many hours does Mr nielson work each year
The ratio of students to teachers at a school is 19:1 how many students are there in each total of people?
A.100 people B.280 C.440 D.760
4+5=9 write the doubles fact used to solve
crystal's mother kept a record of. crystal's. height at different ages. she recorded the information in a table. is the relationship between crystal's age and her height proportional? explain.
The relationship between Crystal's age and her height is determined by examining the ratios of age to height for different entries in the table. If the ratios are equal, then the relationship is proportional.
Explanation:To determine if the relationship is proportional, compare the ratios of Crystal's age to her height for different entries in the table. If the ratios are equal, then the relationship is proportional. If the ratios are not equal, then the relationship is not proportional.
For example, if Crystal's age is 10 and her height is 50 inches, the ratio would be 10/50 = 0.2. If Crystal's age is 20 and her height is 100 inches, the ratio would be 20/100 = 0.2. Since the ratios are equal, the relationship between Crystal's age and her height is proportional.
Javier is cooling a liquid in a science lab. The liquid starts at 85 degrees, and he cools it 3.5 degrees every minute for 12 minutes. Create a number sentence to model this scenario.