how to multiply a fraction(s)?

The linear function that represents c, the total cost, when x tickets are ordered is

c=5.50+20.50x

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.

Let

The overall price is c.

the quantity of tickets, x

the price of one ticket, excluding service charges, is z.

Knowing this

108=5.50+5z

finding z

z=20.50

therefore

The linear equation equals

c=5.50+20.50x

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Therefore, the long-run aggregate supply curve is a vertical line that is not influenced by changes in aggregate demand or short-run economic conditions.

The long-run aggregate supply curve is represented by the vertical line at the potential output level, which indicates that in the long run, the economy will produce at its full capacity without any increase in inflation or decrease in unemployment.

In other words, the long-run aggregate supply curve is not affected by temporary fluctuations in prices or output levels, and instead represents the economy's natural rate of output in the absence of any short-term disturbances. Therefore, the long-run aggregate supply curve is a vertical line that is not influenced by changes in aggregate demand or short-run economic conditions.

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When calculating a chi-square, the observed frequencies are based on the information from our sample data.

When calculating a chi-square, the observed frequencies are based on the information from our sample data. The observed frequency (f_obs) is the frequency that a certain event or category actually appears in our data.

We use observed frequencies to test if there is any significant difference between the observed and expected frequencies.

Chi-square is a test used to examine the association between two variables. It compares the observed frequencies to the expected frequencies to test the null hypothesis that there is no association between the variables.

The formula for calculating chi-square is:χ2=Σ(f_obs−f_exp)2f_exp , where χ2 is the chi-square statistic, f_obs is the observed frequency, f_exp is the expected frequency, and Σ is the sum of all categories or events.

The chi-square test is used in many fields, including biology, psychology, sociology, and marketing. The test helps to determine if two categorical variables are independent or not.

The chi-square test can also be used to compare observed frequencies to expected frequencies in a contingency table. It can be used to determine if there is a significant difference between the expected and observed frequencies.

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Answer:

3/8

Step-by-step explanation:

The kites are similar, so the scale is 24/64 = 3/8.  This is also the ratio between corresponding side lengths.

Answer:

I think option D is the correct answer

The length of the guy wire will be 34.24 feet.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that the height of the pole is 6ft. The distance of the pole from the tower is 15ft and the distance of the pole from the guy wire end is 4 ft.

The length of the guy wire will be calculated as:-

First, we will calculate the angle of the guy wire,

tanθ = 6 / 4

θ = tan⁻¹(6/4)

θ = 56.3°

Now the length of the guy wire will be,

cosθ = Base / Hypotenuse

cosθ = ( 19 ) / ( L )

L = 19 / cos(56.3)

L = 34.24 ft

Therefore, the length of the guy wire will be 34.24 feet.

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y=4x+64

Explanation:

Two lines are perpendicular if the product of their slopes is -1.

Step 1: Find the slope of the line a

Line a passes through the points (1,-3) and (9,-5)

The slope of line a = -1/4

Step 2: Determine the slope of line b.

Let the slope of line b = k

Since the product of the two slopes is -1:

The slope of line b = 4

Step 3: Find the equation of line b.

Line b passes through the point (x1,y1)=(-8,32) and has a slope, m = 4.

Using the slope-point form of the equation of a line:

Substitute the given values

The equation of line b is y=4x+64.

Answer:

z³ - 2z² - 3z

Step-by-step explanation:

(z² - 3z)(z+1) = (z²*z) + (z²*1) + (-3z*z) + (-3z*1) = z³ + z² - 3z² - 3z

= z³ -2z² - 3z

Answer:

Today : Saturday, 07 November 2020

Hour: 20.04 WIB (Indonesia)

_______________________________

(z² - 3z) (z + 1)

= z³ + z² - 3z² - 3z

= z³ - 2z² - 3z

Answer:

125 cups

Step-by-step explanation:

45 is 36% of what number?

45 = 0.36n

n = 45 / 0.36

n = 125

Answer:

A

Step-by-step explanation:

Assuming that items are on the x axis and revenue is on the y axis we can predict that for every 1 item produced the revenue is $3.

Technically speaking you can write the coordinate point as:

(1 item, 3 dollars in revenue)

Therefore, letter A would be correct.

I hope this helps!!

- Kay :)

We can say that any of the two given conditions are true -

        y = mx + c

        [m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

        [c] → is the y - intercept i.e. the point where the graph cuts the [y] axis

Other possible equations of line are -

We have a the point (1, 3) represent on the graph.

Assume that we represent the item produced is mentioned along the [x] - axis and revenue generated is along the [y] - axis. Since, the graph is not given, we can assume that any one of the given condition is true -

Therefore, we can say that any of the two given conditions are true -

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When performing a 3-D problem analysis, in general, you have three scalar equations of equilibrium. Therefore, the answer is (b) 3.

In a 3-D problem analysis, we consider forces and moments acting in three perpendicular directions: x, y, and z. For each direction, we can apply the principle of equilibrium to derive a scalar equation. The equations of equilibrium are as follows:

ΣFx = 0 (Sum of forces in the x-direction is zero)

ΣFy = 0 (Sum of forces in the y-direction is zero)

ΣFz = 0 (Sum of forces in the z-direction is zero)

These three scalar equations of equilibrium represent the conditions for a body to be in static equilibrium in three-dimensional space.

When analyzing 3-D problems, we typically have three scalar equations of equilibrium. These equations help us determine the unknown forces and moments acting on a body by setting the sums of forces and moments in each direction equal to zero. By solving these equations simultaneously, we can find the equilibrium conditions and obtain the desired solutions.

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Answer:

A) circumference = 15 cm and area = 9.5 cm²

B) Circumference = 21 dm

Area = 12 dm²

Step-by-step explanation:

A) circumference is the same as perimeter. Thus;

Circumference = sum of sides = 6 + 4 + 5 = 15 cm

Area = ½ x base x height

Base = 5 cm and height = 3.8 cm

Area = 1/2 × 5 × 3.8 = 9.5 cm²

B) Circumference; C = 10 + 5 + 6 = 21 dm

Area;

The third side of the unshaded triangle is; L = √(5² - 4²)

L = √(25 - 16)

L = √9

L = 3

Total area of both shaded and unshaded region is;

A_t = ½ × (3 + 6) × 4

A_t = 2 × 9

A_t = 18 dm²

To find area of shaded triangle, let's find the area of unshaded triangle and subtract it from area of total triangle.

Thus;

A_unshaded = ½ × 3 × 4

A_unshaded = 6 dm²

Area of shaded triangle is;

A_shaded = 18 - 6 = 12 dm²

The algebraic expression for "The product of 9 and two more than a number" is 9(x + 2).

In the given word phrase, "a number" is represented by the variable x. The phrase "two more than a number" can be translated as x + 2 since we add 2 to the number x. The phrase "the product of 9 and two more than a number" indicates that we need to multiply 9 by the value obtained from x + 2. Therefore, the algebraic expression for this word phrase is 9(x + 2).

"A number": This is represented by the variable x, which can take any value.

"Two more than a number": This means adding 2 to the number represented by x. So, we have x + 2.

"The product of 9 and two more than a number": This indicates that we need to multiply 9 by the value obtained from step 2, which is x + 2. Therefore, the algebraic expression becomes 9(x + 2).

In summary, the phrase "The product of 9 and two more than a number" can be algebraically expressed as 9(x + 2), where x represents the number.

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Answer:

5 given as -1 and 8 positive 8 cross by axis

The algebraic expression of the statement given as the difference of 27 and 5​ is 27 - 5

The statement is given as:

the difference of 27 and 5​

Difference means minus.

The minus sign is represented as -

This means that the statement given as: the difference of 27 and 5​

Can be represented as

27 minus 5

So, have

27 - 5

Hence, the algebraic expression of the statement given as the difference of 27 and 5​ is 27 - 5

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D 2c + 4c + c

Collect Coefficients of like terms

\((2+4+1)\times c\)

__________________________________________________

Calculate the sum or difference

\(7c\)

__________________________________________________

Determine true/false

\(Determine\ whether\ 7c\ and\ 2c+4c+c\ are equivalent:\)

\(True\)

I hope this helps you

:)

Answer:

23^0=0

Step-by-step explanation:

Anything to the power of 0 equals 0 because it is that number 0 times.

Hope this helps! Plz give brainliest!

Answer:

167 adult tickets were sold

35 children tickets were sold

Step-by-step explanation:

Let the number of adult tickets be x

Let the number of children tickets be y

Total number of each ticket sold;

x + y = 202 equation 1

Total cost of the tickets

10x + 6y = 1708 equation 2

Let

x= 202 - y equation 3

Substitute 3 into 2

10(202 - y) + y = 1708

2020 - 10y + y = 1708

-9y = 1708 - 2020

-9y = -312

y= 35

Substitute y =35 into 1

x + 35 =202

x= 202 - 35

x= 167

Therefore;

167 adult tickets were sold

35 children tickets were sold

The calories for vegetables will be 700 calories

The calories for fruit will be 300 calories.

The calories for carbs will be 500 calories

The calories for proteins will be 500 calories.

A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number,we multiply by 100.

The calories for vegetables will be:

= 35% × 2000

= 700 calories

The calories for fruit will be:

= 15% × 2000

= 300 calories.

The calories for carbs will be:

= 25% × 2000

= 500 calories

The calories for proteins will be:

= 25% × 2000

= 500 calories

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Answer:

Part A: Non linear

Part B: Yes

Part C: The y-intercept is (0, 0), represent the starting height level of the golf ball

Part C: The solution are the points (0, 0) and (100, 0) which are the points at which the golf ball touches the ground

Step-by-step explanation:

Part A: The shape of the path of the increase in the height of the the golf ball as it moves in increasing horizontal distance from the starting point is hat of a parabola

Part B: The graph is a function because each value of the independent variable, distance (ft.) maps to exactly one value of the dependent variable, elevation (ft.)

Part C: The y-intercept represents the starting or initial value of the function, where x = 0. It represents the height from which the golf ball motion path starts

Part D: The solution represents the values of the x-intercept at which the elevation is the y = 0.

Therefore, the speed of the boat in still water is 30 miles/hour.

Let's denote the speed of the boat in still water as "v" and the speed of the current as "c".

When the boat is traveling downstream (with the current), the effective speed of the boat is increased by the speed of the current. Therefore, the speed of the boat downstream is v + c.

Similarly, when the boat is traveling upstream (against the current), the effective speed of the boat is decreased by the speed of the current. Therefore, the speed of the boat upstream is v - c.

We have the following information:

Downstream speed = v + c = 120 miles / 3 hours = 40 miles/hour

Upstream speed = v - c = 120 miles / 6 hours = 20 miles/hour

We can set up a system of equations using these two equations:

v + c = 40

v - c = 20

By adding the two equations, we can eliminate the variable "c":

2v = 60

Solving for "v":

v = 60 / 2

v = 30

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Answer:

y<or equal to 5/2x + 5

Step-by-step explanation:

when graphing inequalities, the line is solid when the inequality is also "or equal to". also, the less than sign indicates that the area below the line will be shaded. the y intercept is the y value when x is 0, so + 5. the slope, calculated with rise over run, is 5/2x

From 1976 until 1987, red M&Ms were removed from packets owing to a research associating the food dye used to color them to cancer.

Arithmetic is defined as working with numbers through addition, subtraction, multiplication, and division. Adding two and two to produce four is an example of arithmetic. Arithmetic is a fundamental branch of mathematics that studies the characteristics of classical operations on numbers such as addition, subtraction, multiplication, division, exponentiation, and root extraction. Arithmetic (derived from the Greek word arithmos, "number") relates to the fundamental components of number theory, arts of mensuration (measuring), and numerical computing (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

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It will take the sales of 381 necklaces to reach break-even.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given that Tony invest an initial amount of $381 for advertising, and materials cost $8 for each necklace he makes. Tony can sell his creations for $9 per necklace.

Let the number of necklace be x then;

8x + 381 = 9x

Solving;

9x - 8x = 381

x = 381

Therefore, Total expenses = 8x + 381

8(381) + 381

= 3429

Thus, Total sale = 9x = 3429

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Answer:

(1,5)

Step-by-step explanation:

x = 1

y = 8

If you move down 3 units, it means the y would be lower. This is because y is the vertical value in a pair of coordinates.

8-3 = 5

Answer:

(1, 5)

Step-by-step explanation:

A coordinate defined as point (x, y) is called Cartesian Coordinate. The x-coordinate represents right-left direction while the y-coordinate represents up-down direction.

Its transformation depends on how would you move the coordinate point. An example is if you start with (x, y) point and move to right 3 units, our new position will be at (x + 3, y).

Properties

Suppose we have point (x, y), if we move to right “a” units then the new point will be (x + a, y)

If we move (x, y) to left “a” units, our new point will be (x - a, y)

If we shift (x, y) up “a units”, you’ll get (x, y + a)

If we shift (x, y) down “a units”, we’ll have (x, y - a)

Suppose you start at (1, 8) and you move down 3 units, you can apply the transformation property to find your new position.

Since you move down, this means you are dealing with y-coordinate only so you’ll apply property of (x, y - a)

You’ll have (1, 8 - 3) which equals to (1, 5).

Hence, you’ll end at (1, 5).

Step-by-step explanation:

1.

(y -y1) = m(x -x1)

(6 -8) = m(1 -(-2))

-2 = 3m

m = -2/3

2.

slope = ∆y/∆x

slope = (8 -6)/(-2 -1)

slope = 2/-3

Now to find the full expression let's substitute the values of x and y using the slope:

6 = 1×2/-3 + b

6 = 2/-3 +b

b = 6 - 2/-3

b = 16/3

So the expression is:

y = 2x/-3 + 16/3

Answer:

$634.83

Step-by-step explanation:

You can use the following formula:

65% of $976.20 = 0.65 x $976.20

We can multiply 0.65 and $976.20 to get:

65% of $976.20 = $634.83

Answer:

b, b

Step-by-step explanation:

use the graph