Mel buys a shirt that cost 12.50 and some pairs of socks that are 2.50 each.He pays a total of 27.50$.How many pairs of socks did Mel buy?

Answer:

x=-6

QUESTION 31

Step-by-step explanation:

3x+5=2x-1

Subtract 5 from both sides

3x+5-5=2x-1-5

Simplify

3x=2x-6

Subtract 2x from both sides

3x-2x=2x-6-2x

QUESTION 32

1/3(6x+12) = 1/2(4x-8) + 8

1/2(4x-8) = 4x-8/2 +8

1/3(6x+12) = 4x-8/2 +8

2(6x+12) = 12(x-2) + 48

12x+24

12x+24 = 12x+24

12x+24 - 24 = 12x+24 - 24

12x=12x

0=0

Answer:

Step-by-step explanation:

The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip

Total money of the three men: 3($100) = $300

They paid $270 for the room: $300 - $270 = $30

Tip for the bell boy: $30 - $30 = $0

Amount overcharged to them: $0 + $20 = $20

Tip to the bell boy: $20 - $20 = $0

They were left with no more money from the original $300.

Area of the patio is -6x² + x + 2 square yards and perimeter of the patio is 6 - 2x yards.

A yard is a unit of measurement used to measure length or distance in both the US customary system and the British imperial system. One yard is equal to 3 feet or 36 inches. In the US customary system, a yard is equal to 0.9144 meters, while in the British imperial system, it is equal to 0.9144 meters or 3 feet. Yards are commonly used for measuring larger distances, such as in construction or landscaping, as well as in some sports like American football and cricket.

The area of the rectangular patio is given by multiplying its length by its width, so the area is:

A = (1 + 2x)(2 - 3x)

Now using distributive property we get,

A = 2 - 3x + 4x - 6x²

Simplifying further, we get:

A = -6x² + x + 2

Therefore, the area of the patio is described by the quadratic equation -6x² + x + 2.

To find the perimeter of the patio, we add up the lengths of all four sides. The length and width are given as (1 + 2x) and (2 - 3x), respectively, so the perimeter is:

P = 2(1 + 2x) + 2(2 - 3x)

Simplifying this expression, we get:

P = 2 + 4x + 4 - 6x

P = 6 - 2x

Therefore, the perimeter of the patio is described by the linear equation 6 - 2x.

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Answer:

f+2

Step-by-step explanation:

Wrong, the answer is 1 on Edge..

Step-by-step explanation:

To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:

Write the function: f(x) = 1/x^3.

Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).

Differentiate the function: In our case, n = -3, so the derivative is:

f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.

Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.

Answer:

54ft

Step-by-step explanation:

9ft x 6ft

The mean is  2,071,798.33

The Median is 1,485,552

The range is 7,425,310

The standard deviation is given as 1961105.68

Mean = (Sum of all populations) / (Number of cities)

= (8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507) / 12

= 24,861,580 / 12

= 2,071,798.33

To find the median, we need to arrange the populations in increasing order and find the middle value. If we arrange these values, we get:

911,507, 978,908, 979,576, 1,021,795, 1,343,573, 1,423,851, 1,547,253, 1,584,064, 1,680,992, 2,320,268, 2,693,976, 8,336,817

Since there are 12 cities (an even number), the median would be the average of the 6th and 7th values:

Median = (1,423,851 + 1,547,253) / 2

= 1,485,552

The mode isn't applicable here as no city population repeats.

The range is the highest population minus the lowest population:

Range = 8,336,817 - 911,507

= 7,425,310

Standard deviation  =  (911507- 2068548.3333333)² +  (978908 - 2068548.3333333)² + (979576  - 2068548.3333333)²  + ( 1021795 -  2068548.3333333)² +  (1343573- 2068548.3333333)²  +( 1423851- 2068548.3333333)² + (1547253- 2068548.3333333)² +( 1584064- 2068548.3333333)² + (1680992- 2068548.3333333)² + ( 2320268- 2068548.3333333)²  +(2693976- 2068548.3333333)² +( 8336817 - 2068548.3333333)² / 12

= 46151226311869 / 12

=  3845935525989.1

\(standard deviation = \sqrt{ 3845935525989.1}\)

=  1961105.6896529

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The value of the angle x using trigonometric ratios is:

tan x = 6/8

x = 36.89°

Some of the common trigonometric ratios used with right angle triangles are:

sin x = ooposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

Now, from the given right angle triangle, we want to use the tangent trigonometric function to find the value of x and as such we have:

tan x = 6/8

x = tan⁻¹(6/8)

x = 36.89°

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A parent graph is the graph of a relatively simple function. By transforming the function in various ways, the graph can be translated, reflected, or otherwise changed.

What is a Parent Function?

A parent function is an equation in the simplest form of a family of functions. A family of functions is a collection of functions that represent similar characteristics and/or transformations of its parent function. A parent function can be represented with different degree values such as degrees 1, 2, or 3.

The most basic parent function is called a constant function. A constant function is one such that y = b, where b is the constant value. A constant function creates a straight horizontal line that will intersect the y -axis.

Hence the answer is A parent graph is the graph of a relatively simple function. By transforming the function in various ways, the graph can be translated, reflected, or otherwise changed.

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Answer:

the answer is in the photo

Step-by-step explanation:

I hoped I helped:)

Answer:

See explanation

Step-by-step explanation:

sin(α + β) = sin α cos β + sin β cos α

sin(α - β) = sin α cos β - sin β cos α

\(\frac{1}{2}\)[ sin(α + β) + sin(α - β)] = \(\frac{1}{2}\)[sin α cos β + sin β cos α + sin α cos β - sin β cos α]

                               = \(\frac{1}{2}\)[2 sinα cos β]

                               = sin α cos β = \(\frac{1}{2}\)[ sin(α + β) + sin(α - β)]

Answer:

b=10cm²

Step-by-step explanation:

4inx5in=20

20/2=10cm²

Let me know if this helps

Answer:

b

Step-by-step explanation:

The given expression can be rewritten as 2 × 5 × 5 × 5 × 5 and is equal to 1250. The correct option is (B).

Some of the rules of exponents are as follows,

The product of two exponents having the same power is equal to the power of their base multiplied.

The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.

The given expression is 2 × 5⁴.

It can be simplified using the rule of indices as follows,

The expression 5⁴ can be written as 4 times 5 as below,

5⁴ = 5 × 5 × 5 × 5.

Then, the expression can be evaluated as

⇒ 2 × 5 × 5 × 5 × 5

⇒ 1250

Hence, the expression can be simplified to obtain 1250.

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The expression in the options which is equivalent to the given expression is D. (22x + 48) / (x² - 36).

Given expression is,

[15 / (x - 6)] + [7 / (x + 6)]

Cross multiplying the two fractional expressions,

= [15 (x + 6) + 7 (x - 6)] / [(x - 6) (x + 6)]

= [15x + 90 + 7x - 42] / [x² - 6²]

= (22x + 48) / (x² - 36)

Hence the equivalent expression is D.

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The acceleration of the car is 8 m/s^2.

The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.

Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.

(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m

(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2

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Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello, please consider the following.

For x > 1, we can apply Pythagoras theorem as below.

\(\text{Let's estimate this sum of two squares.} \\\\(2x)^2+(x^2-1)^2=4x^2+x^4-2x^2+1=x^4+2x^2+1\\\\\text{Let's estimate this square, now.} \\\\(x^2+1)^2=x^4+2x^2+1\\\\\text{The two expressions are equal, meaning.} \\\\(2x)^2+(x^2-1)^2=(x^2+1)^2\\\\\text{Using Pythagoras' theorem, we can say that this is a right triangle.}\)

Thank you

On solving the query we can say that The slant height, along with the function cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.

Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

You are informed that the cone in this scenario has a volume of 4.5 cubic inches. Using the aforementioned calculation, you can determine the radius if you know the cone's height.

Alternately, you may use the Pythagorean theorem to calculate for the radius if you know the cone's slant height. The slant height, along with the cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.

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Answer:

Step-by-step explanation:

22 less than a number, q-22, ‘is’ 24 is =24

q-22=24 adding 22 to both sides gives q=46

Answer:

q minus 22 = 24: Add 22 to both sides. The answer is 46.

Step-by-step explanation:

Solve each equation to see if it works.

Q - 22 = 24 does work.

Answer:

4) Larger/smaller, Size

5) Whichever are larger then the original, depends on if green or blue is original

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

AB²=8²+6²

=64+36

=100

AB=10

Answer:

10 units

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

6² + 8² = c²

c = √100

10 units

Answer:

all your numbers are mixed up, can you fix your question?

Answer:

addition or subtraction (1.)

Step-by-step explanation:

Answer:

Divide both sides by a constant to simplify the equation.  Thus the second option.

Step-by-step explanation:

Solve for x:

9 - 10 x = -1

Hint: | Isolate terms with x to the left hand side.

Subtract 9 from both sides:

(9 - 9) - 10 x = -9 - 1

Hint: | Look for the difference of two identical terms.

9 - 9 = 0:

-10 x = -9 - 1

Hint: | Evaluate -9 - 1.

-9 - 1 = -10:

-10 x = -10

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -10 x = -10 by -10:

(-10 x)/(-10) = (-10)/(-10)

Hint: | Any nonzero number divided by itself is one.

(-10)/(-10) = 1:

x = (-10)/(-10)

Hint: | Any nonzero number divided by itself is one.

(-10)/(-10) = 1:

Answer:  x = 1

Answer:

\(3 \frac{3}{4} \)

Answer:

3.75 or 15/4

Step-by-step explanation:

3⋅5 = 15

8 divided by 2 = 4

15/4

Answer:

300-20w=?

150+10w=?

Step-by-step explanation:

Answer:

Step-by-step explanation:

320

Answer:

z + n m

Step-by-step explanation:

These expressions are equivalent because the commutative property of addition, which states that when adding two terms, the order doesn't matter.

If this answer is correct, please make me Brainliest!

Answer:

It's "c"

Step-by-step explanation:

i just did this on edge

The two case given below are disjoint and cover all the cases for n length strings, hence the numbers add up to give \(a_{n} =a_{n-1}+a_{n-2}\).

In the given question we have to find a recurrence relation for the number of n-digit binary sequences with no pair of consecutive.

Be sure to include the initial conditions Solution an \(a_{n-1}+ a_{n-2}\) Initial condition: \(a_{1}=2,a_{2}=3\)

Clearly \(a_{1}\) = 2 (0,1) and \(a_{2}\) = 3 (00,10,01). Now for the case of n. Suppose we are given a string with no consecutive 1's. There are two cases:

Case 1: the given string starts with a 0. In this case the n-1 length string after the first bit can be any string without consecutive 1's of length n-1. Hence there are n-1 of those.

Case 2: the given string starts with a 1. In this case the second bit has to be a 0 since we don't want consecutive 1's. Not the last n-2 length string can be any string without consecutive 1's of length n-2. Hence there are \(a_{n-2}\) of those.

These two case are disjoint and cover all the cases for n length strings, hence the numbers add up to give \(a_{n} =a_{n-1}+a_{n-2}\).

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