Six friends are selling crafts at a flea market. they each need to pay $7. 20 to pay

for the table rental. they each sell 3 items. if every item is the same price, and the

6 friends make a total profit of $25. 20, what was the sale price of each item?

The equation that represents the linear function is y = 2x.

A linear equation is in the form:

y = mx + b

Where y, x are variables, m is the rate of change and b is the y intercept.

Let us assume that from the table, we get the data with points (0, 0) and (2, 4). Hence:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{4-0}{2-0} (x-0)\\\\y=2x\)

The equation that represents the linear function is y = 2x.

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Answer:

Step-by-step explanation:

answer is -10

The area of the regular polygon is approximately 177.8 square units.

To find the area of a regular polygon, we can use the formula:

Area = ½(apothem)(perimeter)

We know that a regular polygon has all sides and angles equal. Therefore, we can use the formula for the perimeter of a regular polygon:

Perimeter = number of sides × length of a side

We can use the Pythagorean theorem to find the length of a side:

(length of a side/2)² + (apothem)² = (perpendicular distance from the center to a side)²

(length of a side/2)² + (13.3)² = (16)²

(length of a side/2)² = 256 - 176.89

length of a side/2 ≈ 7.92

length of a side ≈ 15.84

Now that we have the apothem and the perimeter, we can use the formula for the area of a regular polygon:

Area = ½(13.3)(15.84×5) ≈ 177.8

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In 1798, the first vaccination (for small pox) was discovered. The most notable achievement of these efforts has been the elimination of smallpox sickness from the world.

Hence, option (c) is correct choice.

In 1721, Lady Mary Wortley Montagu introduced smallpox vaccination to Europe by requesting that her two children be immunised against the disease, as she had seen done in Turkey. Dr. Edward Jenner developed the world's first effective vaccination. He discovered that those who had cowpox were resistant to smallpox.

Edward Jenner, a rural doctor from Berkeley (Gloucestershire), England, conducted the world's first vaccine in 1796. Jenner injected an eight-year-old kid, James Phipps, with pus from a cowpox lesion on a milkmaid's hand.

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Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

Let's see what we are given:

  \(\hookrightarrow V(r)=\frac{4}{3} \pi r^3\)

Let's see what we need to solve:

                 \(\hookrightarrow v(2) = \frac{4}{3}\pi* 2^3 = \frac{32}{3} \pi =33.51\)

                 \(\hookrightarrow v(\frac{3}{2})=\frac{4}{3}\pi* (\frac{3}{2})^3 =\frac{4}{3}\pi *\frac{27}{8} =\frac{9}{2} \pi =14.14\)

                \(v(3r)=\frac{4}{3}\pi *(3r)^3 =\frac{4}{3}\pi *27r^3=36\pi *r^3 =113.10r^3\)

Answer:

Hope that helps!

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Answer:

To answer this question, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the amount of money after t years

P = the principal (the starting amount of money)

r = the annual interest rate (as a decimal)

n = the number of times interest is compounded per year

t = the number of years

In this problem, we have:

P = $900 (the starting amount)

r = 0.03 (3% as a decimal)

n = 2 (interest is compounded semiannually)

t = time in years

So the formula becomes:

A = $900(1 + 0.03/2)^(2t)

Simplifying:

A = $900(1.015)^2t

We can plot the value of A as a function of t to get the graph that models the worth of the investment over time. The graph would look like an exponential curve, as the value of A grows exponentially over time due to the effect of compound interest.

Here is an example graph that models the worth of the investment over time:

Graph of investment worth over time

The x-axis represents time in years, and the y-axis represents the value of the investment in dollars. The curve shows how the investment grows over time due to the effect of compound interest. As time goes on, the rate of growth increases due to the compounding effect. The graph starts at $900 and grows steadily over time, eventually approaching an asymptotic limit.

The relationship between the volume of a gas and the pressure on the gas is described by the equation V ∝ 1/P, where V is the volume and P is the pressure. This equation means that the volume and pressure of a gas are inversely proportional, so if the pressure increases, the volume will decrease and vice versa.

To find the volume of the gas when the pressure is increased from 66 pounds per square inch to 77 pounds per square inch, you can use the formula for inverse proportionality to solve for the new volume:

V1/V2 = P2/P1

Plugging in the known values, you get:

V1/V2 = 77 pounds per square inch / 66 pounds per square inch

= 1.16

Rearranging the equation to solve for V2, you get:

V2 = V1 * (P1/P2)

= 329329 cubic inches * (66 pounds per square inch / 77 pounds per square inch)

= 329329 cubic inches * (0.86)

= 283590 cubic inches

Rounding this volume to the nearest integer, the volume of the gas when the pressure is increased to 77 pounds per square inch is approximately 283,590 cubic inches.

The sum of the first 50 positive integers is 1275.

The sum of the first 50 positive integers can be calculated using the formula n(n+1)/2. This formula is used to calculate the sum of the first n positive integers, where n is the number of integers.

The sum of the first 50 positive integers can be found using the formula n(n+1)/2. This formula is used to find the sum of consecutive numbers. In this case, the first 50 positive integers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50. When plugged into the formula, n = 50 and n + 1 = 51. When these values are plugged into the formula, the sum of the first 50 positive integers is 1275. 50 (50 + 1) / 2 = 1275.For the first 50 positive integers, n = 50. Therefore, the sum can be calculated as follows:

50(50+1)/2 = 50 x 51/2 = 2550/2 = 1275

Therefore, the sum of the first 50 positive integers is 1275.

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The value of the 7 in the one's place is 1/1000 times the value of the 7 in the thousand places.

According to the question,

The number is 7,567.23.

Place value in Maths describes the position or place of a digit in a number. Each digit has a place in the number.

The difference in place value in one's place and thousand places is 1000.

The 7 in the thousands place is 1000 times the value of the 7 in the one's place.

So, The value of the 7 in the one's place is 1/1000 times the value of the 7 in the thousand places.

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2²ˣ ⁻ ⁵ = 128

Any equation with a variable in the exponent position is clearly an exponential equation.

The given solution for an exponential equation is x = 6.

For making this in expression form we need to add some values to it

hence multiply by 2 on both sides

2x = 12

subtract by -5 on both sides

2x- 5  =  7

multiply with ln 2 on both sides

2x - 5 ln2  =  7 ln 2

after taking antilog

2²ˣ ⁻ ⁵ = 128

Therefore, 2²ˣ ⁻ ⁵ = 128 is an exponential equation whose solution is x= 6.

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Answer: [3, 15]

Step-by-step explanation: f(0) = 15 -4(0) = 15

f(3) = 15 - 4(3) = 15 - 12 = 3.

step 1

Find the center of the circle

we have that

the center of the circle is the midpoint between the endpoints

sp

step 2

Find the radius of the circle

we have that

the distance between endpoints is equal to the diameter of circle

so

D=15-1=14 units -------> (difference of the y-coordinates)

Remember that the radius is half the diameter

r=D/2

r=14/2=7 units

step 3

Find the equation of the circle

(x-h)^2+(y-k)^2=r^2

where

*h,k) is the center

r is the radius

substitute

(x-9)^2+(y-8)^2=7^2

(x-9)^2+(y-8)^2=49

Answer:

send the complete question . there are some missing signs .

Step-by-step explanation:

given ponts,

(3,0)=(x1,y1)

(-6,-3)=(x2,y2)

we know,

Eqn of any line joining two points be,

(y-y1)={(y2-y1)/(x2-x1)}*(x-x1)

y-0={(-3-0)/(-6-3)}*(x-3)

y=(1/3)*(x-3)

y=(x-3)/3

3y=x-3

0=x-3y-3

x-3y-3=0

Therefore it is required eqn

The number of tiles needed to cover the floor is 60 tiles.

Given Information,

The floor area of the passage = 2.4 m²

Length of a side of square tile = 200mm

Length of the side is in mm which needs to be converted in its standard form which is meters.

Therefore, the length of side = 200/1000 m

                                                = 0.2 m

Area of the square tile = 0.2 x 0.2

                                      =  0.04 m²

Let the number of tiles be x.

∴ Number of tiles = \(\frac{Area of passage}{Area of each tile}\)

 x = 2.4/0.04

 x = 60

∴ The number of tiles needed to cover the floor is 60 tiles.

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√30 - Real irrational root

-26 Real rational integer

√64 Real rational root whole number

1/4 Real rational

0.0363..... Real irrational decimal

0.4242..... Real irrational decimal

7i - Imaginary number

An imaginary number is a complex number that can be written in the form ai, where a is a real number and i is the imaginary unit, which is defined as the square root of -1.

Imaginary numbers are used in mathematics to represent quantities that are not real, such as the square roots of negative numbers. They play an important role in areas such as engineering, physics, and computer science, where they are used to describe complex phenomena such as alternating current and signal processing.

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The number of oranges that are in the bag is  120.

The equation that represents the initial amount of bananas in the bag is: bananas / total number of fruits = 0.60

bananas = 0.60t  equation 1

The equation that represents the number of bananas in the bag after 135 was removed is:

(b - 135) / t = 0.15

b - 135 = 0.15t equation 2

Where :

Substitute for b in  equation 2 using  equation 1

0.6t - 135 = 0.15t

0.6t - 0.15t = 135

t = 135 / (0.6 - 0.15)

t = 300

The initial number of bananas : 0.6 x 300 = 180

Number of oranges = 300 - 180 = 120

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Answer:

x = 11/12

Step-by-step explanation:

x - 2/3(3x-4) + 3x = -5/6

x - 2x - 8/3 + 3x = -5/6

2x = 11/6

x = 11/12

x = 0.9167

The Euler equation represents the relationship between current-period consumption and future-period consumption in the optimum. It is derived from intertemporal optimization in economics.

In the context of consumption, the Euler equation can be expressed as:

u'(Ct) = β * u'(Ct+1)

where:

- u'(Ct) represents the marginal utility of consumption in the current period,

- Ct represents current-period consumption,

- β is the discount factor representing the individual's time preference,

- u'(Ct+1) represents the marginal utility of consumption in the future period.

This equation states that the marginal utility of consumption in the current period is equal to the discounted marginal utility of consumption in the future period. It implies that individuals make consumption decisions by considering the trade-off between present and future utility.

Note: The Euler equation assumes a constant discount factor and a utility function that is differentiable and strictly concave.

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Answer:

12 months or a year

Step-by-step explanation:

300÷25=12

The periodic transfer of a portion of the cost of an intangible asset to expense is known as amortization. This is the process of spreading the cost of an intangible asset over its useful life, similar to how depreciation is used for tangible assets like buildings and equipment.

Intangible assets, such as patents, copyrights, and trademarks, do not have a physical existence but still have value to the company. Amortization recognizes the decline in value of these assets over time and helps to accurately reflect their impact on the company's financial statements.

The amount of amortization each period is calculated by dividing the cost of the asset by its estimated useful life. It is important for companies to track and properly account for their intangible assets, including amortization, as it can have a significant impact on their financial statements and overall financial health.

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Answer:

5

Step-by-step explanation:

I hope this helps if this is wrong please correct me! :)

The value of 3 minus (negative 2) is 5.

Given that we need to simplify 3 minus (negative 2), which is at a number line going from negative 5 to positive 5.

To find the value of 3 minus (negative 2), we can simplify the expression.

When we subtract a negative number, it is the same as adding its positive counterpart.

Mathematically,

3 - (-2)

We know, when minus sign multiplied by minus sign it becomes positive.

So, we can rewrite the expression as 3 + 2.

Adding 3 and 2 gives us 5.

Therefore, the value of 3 minus (negative 2) is 5.

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Tthe width of the strip that needs to be taken along the two sides to widen the roads while maintaining the desired remaining lot area of 844 square yards.

To determine the width of the strip that needs to be taken along the two sides of a corner lot to widen the roads while maintaining a remaining lot area of 844 square yards, we can solve an equation based on the given dimensions of the lot.

Let's assume the width of the strip is "w" yards. After taking the strip along the two sides, the dimensions of the remaining lot will be reduced by 2w yards. The length of the remaining lot will be (40 - 2w) yards and the width will be (25 - 2w) yards.

To find the area of the remaining lot, we multiply the length and width:

Area = (40 - 2w)(25 - 2w) = 844

Expanding and rearranging the equation, we get:

100w^2 - 130w + 384 = 0

We can solve this quadratic equation to find the value of "w" using factoring, completing the square, or the quadratic formula. After finding the value of "w", we can determine the width of the strip that needs to be taken along the two sides to widen the roads while maintaining the desired remaining lot area of 844 square yards.

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Geometric solids with circular cross-sections include cylinders, cones, and spheres. Geometric solids with circular cross-sections include cylinders, cones, and spheres. And Cylinders, cones, and spheres can be created by rotating a two-dimensional shape about an axis.

1. Cylinder: A cylinder is a 3-dimensional solid that has two parallel circular bases connected by a curved surface. Cylinders are commonly found in everyday objects like soda cans and water bottles.

2. Cone: A cone is a 3-dimensional solid that has a circular base and a curved surface that tapers to a point. Cones are often used in architecture, like on the top of a church steeple.

3. Sphere: A sphere is a 3-dimensional solid that has a circular shape in all directions. Spheres are found in many natural objects like planets and fruit, as well as in man-made objects like Christmas ornaments.

Geometric solids with circular cross-sections are used in various fields, including architecture, engineering, and science. They are used for creating objects such as cans, pipes, towers, and buildings. These shapes are also used for modeling the natural world, such as the earth, planets, and the stars.

Cylinders, cones, and spheres can be created by rotating a two-dimensional shape about an axis. For instance, a circle that is rotated around its center axis forms a cylinder. Similarly, a triangle that is rotated around one of its sides forms a cone, while a circle that is rotated around its center axis forms a sphere.

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To organize the provided data, we can create a table comparing the samples of couples with children (sample 1) and childless couples (sample 2) as follows:

Sample Sample Size Sample Mean Sample Standard Deviation

1 78 51.1 4.7

2 94 45.2 12.1

In this table, we have listed the sample number (1 and 2), the sample size (number of couples in each group), the sample mean (average Marital Satisfaction Inventory score), and the sample standard deviation (measure of variability in the scores) for each group. This organization allows us to compare the data and proceed with hypothesis testing on the difference in population means between the two groups.

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Korey’s gross profit margin last month will be equal to 55.7%.

The gross profit margin is a profitability ratio. Profitability ratios measures the efficiency with which a company generates profit from its asset. Gross profit margin measures the return on sales.

Gross profit margin = net income / gross profit

$1850 / 3320 = 0.557 = 55.7%

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Answer:

The answer is actually a. 42.5%

Step-by-step explanation:

Correct on edg. 2022

The reflection across the y-axis of a straight line gives an image that have

the same y-intercept as the preimage.

Reasons:

The given coordinate of two points on the line are;

(-2, 5) and (0, 2)

The line about which the line l is reflected is the line k

The coordinates of the image of the point (x, y) following a reflection about

the y-axis is the point (-x, y).

Therefore, the coordinates of the points on the line k are;

(-2, 5) \(\underset {\longrightarrow } {r_{y-axis}}\) (2, 5)

(0, 2) \(\underset {\longrightarrow } {r_{y-axis}}\) (-0, 2) = (0, 2)

The slope of the line is therefore; \(\dfrac{5 - 2}{2 - 0} = 1.5\)

The equation of the line is therefore; y - 2 = 1.5·(x - 0) = 1.5·x

Which gives;

The equation that represents the line k is y = 1.5·x + 2

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Answer:

x = 41°

Step-by-step explanation:

Complementary angles are angles that add up to 90°

y = x + 8

x + y = 90°

Plug in x+8° for y:

-Chetan K

Answer:

D

Step-by-step explanation:

The equation would be y = -2x+3. If we take y+2x=3, and subtract 2x from both sides, we get y = -2x+3, which is the right equation.

Answer:

2x+y =3

Step-by-step explanation:

The line is given by slope intercept form

y = mx+b  where is the slope and b is the y intercept

The slope is -2 and the y intercept is 3

y = -2x +3

Add 2x to each side

2x+y =3