A group of friends are ordering food. The total amount that they can spend on their food bill is $41, including the delivery charge of $6. The equation below represents the situation, where x is the cost of each friend's meal.



The cost of each friend's meal in terms of a is
.

The cost of each friend's meal when the number of friends is 5 is $

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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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.

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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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.

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:

This process shows how to express the repeating decimal as a fraction and thereby convert it into a rational number.

t = time to hike up the hill

3-t is the time to hike down the hill

 so 4t = 6(3-t)

4t = 18-6t

10t = 18

t = 18/10 = 1.8 hours to hike up the hill

1.8 hours = 1 hour 48 minutes

Answer:

The time it took him to climb up the hill is 1.8 hours.

Step-by-step explanation:

Here, t represents the the time it took him to climb up the hill,

Total time taken by it = 3 hours,

Thus, the time taken by it to climb down the hill = ( 3 - t ) hours.

Since, Trent hikes up a hill at 4 km/h,

⇒ Total distance covered by it to climb up = 4 t    (Distance = Speed × Time)

Since, Trent go down a hill at 6 km/h,

⇒ Total distance covered by it to go down = 6(3-t)  

We know that,

Total distance covered by it to climb up = Total distance covered by it to go down

⇒ 4t = 6(3-t)

Which is the required equation.

⇒ 4t = 18 - 6t

⇒ 10 t = 18

⇒ t = 1.8

Hence, the time it took him to climb up the hill is 1.8 hours.

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.

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.

The value of 6 cube or 6×6×6 or 6³ is 216.

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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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.

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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Answer:

5 1/3 hours

Step-by-step explanation:

Answer:

5 1/3 hours or 320 minutes

Step-by-step explanation:

L'area del rettangolo in questione è 6449.5 cm quadrati, calcolata risolvendo l'equazione che unisce le due lunghezze date.

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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Answer:

The answer is D. p=7.50h

Answer:

20.6%

Step-by-step explanation:

To calculate the percentage of how much increase, we must first know how much is the difference in the price of May with that of September.

That difference will represent how many $ increase the gallon

[tex]3.05-2.53=0.52[/tex]

We know that a $ 0.52 increase now we must calculate to what percentage of the initial price this value is equivalent to know in what percentage the price of May increased.

[tex]2.53 \longrightarrow 100\%\\0.52 \longrightarrow x\\x=\frac{(0.52)(100)}{2.53} \\x=20.6\%[/tex]