I need help. Please include explanation.

Answer:

Therefore, Ashira's finance charge is $50.

Step-by-step explanation:

To calculate Ashira's finance charge, we need to find the total amount she will pay for the game system through the installment plan and subtract the original purchase price.

Total amount paid = Monthly payment * Number of months

Total amount paid = $55 * 6

Total amount paid = $330

Finance charge = Total amount paid - Purchase price

Finance charge = $330 - $280

Finance charge = $50

Therefore, Ashira's finance charge is $50.

Answer:

RQ / SQ

Step-by-step explanation:

We see in the figure that angles O and R are congruent, which is what the ) symbol by the two angles indicates.

We see that the first ratio starts with OQ and ends with PQ to give us OQ/PQ.  Since R and O are congruent, the only ratio that would make the statement true is RQ/SQ.

Answer:

Step-by-step explanation:

Given  

3 rectangular cards

each card is 8 inches by 9 inches

The way that she can arrange the cards, without overlapping, to make one larger polygon with the smallest possible perimeter is that:

Put 3 cards together according to the length

So  the smallest possible perimeter is:

8 + 8 + 8 + 8 + 8 + 8 + 9 + 9 = 66 inches as you can see in the attached photo.

The area of the polygon is equal to the combined area of the 3 cards without overlapping or extending.

Answer:

(a) 110

Step-by-step explanation:

We can plug in 7 for a and 3 for b.  Then we can simplify

11(a + b)

11(3 + 7)

11(10)

110

Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a

Step-by-step explanation:

16 - 10 × 1/5 + 13

16 - 5 + 13

11 + 13

24

Step-by-step explanation:

10/5=2

16-2+13=27.

d. 27

Answer:

Step-by-step explanation:

4p+4q=1 -------- equation 1 -------*+3

3p+2q=7 --------equation 2 -------* +4

12p+12q=3 ------equation 3

     ( - )

12p +8q=28 -----equation 4

----------------------

        4q = -25

        q= -25/4

        q = -6.25

substitute q = -6.25 into equation 1

4p + 4q = 1

4p + 4( - 6.25 ) = 1

4p - 25 = 1

4p = 25 + 1

4p = 26

p = 26/4

p = 6.5

therefore p = 6.5, q = -6.25

q to 1 deimal place = -6.3

Answer:

  about 9.91

Step-by-step explanation:

You want the standard deviation of the given data set:

  {138, 129, 145, 134, 142, 159, 153, 142, 127}

The standard deviation can be found by a suitable calculator, or by working through the formula.

  mean = (∑x)/9 = 1269/9 = 141

  mean square = (∑x²)/9 = 179813/9 = 19,979.2222...

  σ = √((mean square) -mean²) = √98.2222...

  σ ≈ 9.91

The standard deviation of this dataset is about 9.91 units.

There are 2 tons in 4000 pounds. In order to figure this out, you must first know how many pounds are in a ton. There are 2000 pounds in one ton. Now you can either divide 4000 by 2000 or add to see how many groups of 2000 make 4000.

The rectangular coordinates of the polar coordinates (3√5, -π/8) are approximately (3.35, -0.77).

To convert polar coordinates (r, θ) to rectangular coordinates (x, y), we use the following formulas:

x = r * cos(θ)

y = r * sin(θ)

In this case, the given polar coordinates are (3√5, -π/8).

Applying the formulas, we have:

x = (3√5) * cos(-π/8)

y = (3√5) * sin(-π/8)

Evaluating the trigonometric functions using a calculator or trigonometric tables, we find:

x ≈ 3.35

y ≈ -0.77

Rounding these values to the nearest hundredth, the rectangular coordinates of the polar coordinates (3√5, -π/8) are approximately (3.35, -0.77).

Please note that the angle -π/8 represents a counterclockwise rotation of π/8 radians from the positive x-axis in the Cartesian coordinate system.

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Answer:

The volume of a cylinder can be calculated using the formula V = πr²h, where V is the volume, r is the radius, and h is the height. We are given that the volume of the cylinder is 980 in³ and the radius is 7 in. We can plug these values into the formula and solve for h.

V = πr²h

980 = π(7)²h

980 = 49πh

To isolate h, we divide both sides of the equation by 49π:

h = 980 / (49π)

h ≈ 6.318

Rounding to the nearest whole number, we get h ≈ 6 in. None of the provided answer choices match this result. It's possible that there is an error in the problem statement or the answer choices.

Step-by-step explanation:

The equivalent value of x from the exponential equation is x = 3

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

Let the first exponent be p = 5 + 20 ( 2 )²⁻³ˣ

Let the second exponent be q = 10 ( 2⁻²ˣ ) + 5

where the values of p and q are equal

So , p = q

And , 5 + 20 ( 2 )²⁻³ˣ = 10 ( 2⁻²ˣ ) + 5

Subtracting 5 on both sides:

20 ( 2 )²⁻³ˣ = 10 ( 2⁻²ˣ )

Divide by 2 on both sides:

2( 2 )²⁻³ˣ = ( 2⁻²ˣ )

From the laws of exponents , we get

mᵃ×mᵇ = mᵃ⁺ᵇ

2⁽¹⁺²⁻³ˣ⁾ = ( 2⁻²ˣ )

The bases are equal , so the powers are also equal

1 + 2 - 3x = -2x

Adding 3x on both sides:

x = 3

Hence , the exponents are solved and x = 3

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The second one is the answer just think of symmetry and if its symmetrical or not.

Answer:

The answer is A

Step-by-step explanation:

Odd symmetry is like the opposite of one side

This means that, on average, the player can expect to lose approximately $0.499 per game in the long run. Therefore, participating in this game would result in a net loss for the player over time.

To find the expected value for this game, we need to calculate the average amount the player can expect to win or lose over the long run.

In this case, there are 1000 possible numbers (000 to 999), and the player bets $1 on a specific number (e.g., 115). If the selected number is drawn, the player wins $500. If any other number is drawn, the player loses the $1 bet.

To calculate the expected value, we need to multiply the probability of each outcome by its corresponding payout and sum them up.

The probability of selecting the specific number is 1/1000 since there is only one winning number out of the 1000 possibilities.

Expected value = (Probability of winning * Amount won) + (Probability of losing * Amount lost)

= (1/1000 * $500) + (999/1000 * -$1)

= $0.50 - $0.999

= -$0.499

The expected value for this game is -$0.499.

This means that, on average, the player can expect to lose approximately $0.499 per game in the long run. Therefore, participating in this game would result in a net loss for the player over time.

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[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=19\\ \theta =82 \end{cases}\implies A=\cfrac{(82)\pi (15)^2}{360}\implies A\approx 161.01[/tex]

1. Andy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter

2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M°

Andy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter. This means that she ate 100% of the pizza. Andy's wife ate 2/6 of the small pizza, which is 12 inches in diameter. This means that she ate 1/3 of the pizza. Andy's younger daughter ate 1/8 of the medium pizza, which is 14 inches in diameter.

This means that she ate 12.5% of the pizza. Andy cut himself a piece that had a central angle of 180° from the large pizza, which is 16 inches in diameter. This means that he ate 50% of the pizza.

The least amount of pizza was eaten by Andy's younger daughter. She only ate 1/8 of the medium pizza.

2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M° by using the following formula:

Percentage of pizza eaten = (M° / 360°) * 100%

For example, if a person cut themselves a piece of an extra large pizza with a central angle of 180°, they would have eaten 50% of the pizza.

Percentage of pizza eaten = (180° / 360°) * 100% = 50%

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Answer:

B) -2

Step-by-step explanation:

The slope of the line can be solved by using the following equation:

slope [tex](m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let: [tex](x_1, y_1) = (0 , 4)\\(x_2 , y_2) = (-1 , 6)[/tex]

Plug in the corresponding numbers to the corresponding variables:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - (4)}{-1 - (0)}[/tex]

[tex]m = \frac{6-4}{-1 - 0} = \frac{2}{-1}[/tex]

m = -2 is your answer.

~

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Answer:

The answer is B

-2

Step-by-step explanation:

slope =rise/run

[tex]m = \frac{y(2) - y(1)}{x(2) - x(1)} [/tex]

[tex]m = \frac{6 - 4}{ - 1 - 0} [/tex]

[tex]m = \frac{2}{ - 1} [/tex]

[tex]m = - 2[/tex]

The set that describes x when y < 10 is 0 < x < 6/7

From the question, we have the following parameters that can be used in our computation:

y = 2|3 - 7x| + 4

The value of y is given as

y < 10

So, we have

2|3 - 7x| + 4 < 10

Subtract 4 from both sides

2|3 - 7x| < 6

Divide both sides by 2

|3 - 7x| < 3

When the brackets are opened, we have

-3 < 3 - 7x < 3

So, we have

-6 < -7x < 0

Evaluate

6/7 > x > 0

Rewrite as

0 < x < 6/7

Hence, the set that describes x when y < 10 is 0 < x < 6/7

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The population of Texas was about 10 times larger than the population of Maine in 2012.

To find out how many times larger the population of Texas was compared to the population of Maine in 2012, we need to divide the population of Texas by the population of Maine.

Population of Texas: 2.6 x 10^7

Population of Maine: 1.3 x 10^6

Dividing the population of Texas by the population of Maine:

(2.6 x 10^7) / (1.3 x 10^6)

When dividing numbers written in scientific notation, we subtract the exponents:

2.6 / 1.3 = 2

The exponents remain the same:

10^(7-6) = 10^1 = 10

Therefore, the population of Texas in 2012 was approximately 10 times larger than the population of Maine.

In summary, the population of Texas was about 10 times larger than the population of Maine in 2012.

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The altitude of the triangle is 1/6 units,

To calculate the altitude of the triangle formed by the given lines, we need to find the distance between the base of the triangle and the vertex opposite to it.

First, let's find the coordinates of the vertices of the triangle. We can start by finding the intersection points of the lines forming the sides of the triangle:

Line 1: 3x + 2y - 10 = 0

Line 2: x + 6y - 10 = 0

Solving these two equations simultaneously will give us the coordinates of the vertices.

Solving Line 1 and Line 2:

3x + 2y - 10 = 0

x + 6y - 10 = 0

Multiplying the second equation by 3, we get:

3(x + 6y - 10) = 0

3x + 18y - 30 = 0

Now we have two equations:

3x + 2y - 10 = 0

3x + 18y - 30 = 0

Subtracting the first equation from the second equation:

(3x + 18y - 30) - (3x + 2y - 10) = 0

16y - 20 = 0

16y = 20

y = 5/4

Plugging the value of y into the first equation:

3x + 2(5/4) - 10 = 0

3x + 5/2 - 10 = 0

3x - 10/2 = 0

3x - 5 = 0

3x = 5

x = 5/3

So one vertex of the triangle is at (5/3, 5/4).

Now, let's find the equation of the line forming the base of the triangle:

By simplifying the given equation: 6x - 8x + 3 = 0

-2x + 3 = 0

-2x = -3

x = 3/2

So the base line has the equation x = 3/2.

To calculate the altitude, we need to find the perpendicular distance from the vertex (5/3, 5/4) to the base line x = 3/2. The perpendicular distance is the shortest distance between the vertex and the base.

The shortest distance between a point and a line can be found using the formula:

Distance = |Ax + By + C| / sqrt(A^2 + B^2)

For the equation x = 3/2, we can rewrite it as 2x - 3 = 0, which represents the line x - (3/2) = 0.

Comparing this with the general equation Ax + By + C = 0, we have A = 2, B = 0, and C = -3.

Now, substituting the values into the formula for the perpendicular distance:

Distance = |2(5/3) + 0(5/4) - 3| / sqrt(2^2 + 0^2)

Distance = |10/3 - 3| / sqrt(4)

Distance = |10/3 - 9/3| / 2

Distance = |1/3| / 2

Distance = 1/6

Hence, the altitude of the triangle is 1/6.

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Answer:

--------------------

To compare two values, express both as the same unit measure.

We know that 1 % = 1/100, then 25% is:

Compare 0.25 and 0.3:

The statement is false as 0.3  is greater than 25%.

The area of the triangle is 68.75 yd²

The space enclosed by the boundary of a plane figure is called its area. It is measured in units².

A triangle is a polygon with three sides having three vertices. Therefore different types of triangle.

For a right triangle i.e a triangle with exactly 90°. the area is calculated as 1/2 bh

The area of a triangle is expressed as ;

A = 1/2 bh

base = 22 yards

height = 25/4

A = 1/2× 22 × 25/4

A = 550/8

A = 68.75 yards²

Therefore the area of the triangle is 68.75yd²

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The requried smaller container holds 18 gallons and the larger container holds 31 gallons.

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms and so on.

Let x be the amount of gasoline held in the smaller container (in gallons).

Then, according to the problem, the larger container can hold 5 gallons less than twice the amount in the smaller container, which can be expressed as:

[tex]\sf 2x - 5[/tex]

The total amount of gasoline held by both containers is given as 49 gallons:

[tex]\rightarrow \sf x + (2x - 5) = 49[/tex]

[tex]\rightarrow \sf 3x - 5 = 49[/tex]

[tex]\sf \rightarrow 3x = 54[/tex]

[tex]\sf \rightarrow x =18[/tex]

So the smaller container holds 18 gallons.

Using the expression 2x - 5, the larger container holds:

[tex]\rightarrow\sf 2(18) - 5 = 31 \ gallons[/tex]

Hence, the smaller container holds 18 gallons and the larger container holds 31 gallons.

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Answer:

This is a word problem that involves solving a system of linear equations. Let x be the number of gallons in the small container and y be the number of gallons in the big container. We can write two equations based on the given information:

x + y = 49 (the total amount of gasoline is 49 gallons)

y = 2x - 5 (the big container can hold 5 gallons less than twice the small container)

To solve this system, we can use substitution or elimination method. We will use substitution method in this example. We can substitute y with 2x - 5 in the first equation and get:

x + (2x - 5) = 49

Simplify and solve for x:

3x - 5 = 49

3x = 54

x = 18

Now we can plug x = 18 into either equation to find y. We will use the second equation:

y = 2x - 5

y = 2(18) - 5

y = 31

Therefore, the small container holds 18 gallons and the big container holds 31 gallons.

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The number of doves for 5 eagles is 15 doves.

Given:

2 sparrows = 1 parrot

2 parrots = 3 crows

3 crows = 1 dove

3 doves = 1 eagle

We can start by converting the units to find the value of 1 eagle in terms of sparrows:

2 sparrows = 1 parrot

2 parrots = 3 crows

3 crows = 1 dove

On simplifying the equation , we get

Therefore, we can substitute these values to find the conversion from sparrows to doves:

2 sparrows = 1 parrot = (2 parrots) * (3 crows) = (2 * 3 crows) = 6 crows

1 dove = 3 crows

So, in terms of sparrows:

1 dove = 6 crows = 12 sparrows

On simplifying the equation , we get

3 doves = 1 eagle

Substituting the value we found for 1 dove:

3 doves = 12 sparrows = 1 eagle

Now, we can find the value of 5 eagles:

5 eagles = 5 * (1 eagle) = 5 * (3 doves) = 15 doves

Hence , the number of doves is 15.

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1. The  y-intercept for the trend line is 5.

3. price of a 0 page book starts off at 5 and increases 0.005 .

4. The slope intercept form is y = 0.005x + 5.

1. The  y-intercept for the trend line is 5.

2. Now, take two points (0, 5.00) and  (200, 6) and the point (0, 5) is the y intercept

then using the formula of slope

= (6-5)/ (200-0)

= 1/200

= 0.005

3. The real-world meaning of the slope is that the price of a 0 page book starts off at 5 and increases 0.005 .

4. So, the slope intercept form is

y - y1 = m (x- x1)

y - 5 = 0.005(x - 0)

y = 0.005x + 5

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Answer:

119 people use Redbox

Step-by-step explanation:

42+57+6+14=119

Answer:

Step-by-step explanation:

The vertex is at (-3, -1)  and the leading coefficient is negative ( because  the curve is inverted)

y = -a(x + 3)^2 - 1

One point on the curve is (-2, -3) so

-3 = -a(-2+3)^2 - 1

-3 = -a - 1

-a = -2

So we have

y = -2(x + 3)^2 -  1

y = -2(x^2 + 6x + 9) - 1

y = -2x^2 - 12x - 19.

Answer:

Solution

[tex]x = - 3,\: y = -3[/tex]

Step-by-step explanation:

If the objective is to solve for the system of equations
- 7x - 5y = 36    [1]

x = 2y + 3    [2]

Then the process is as follows

Answer:

b. 5 meters

Step-by-step explanation:

1 meter = 1000 millimeters

5 meter = 5000 millimeters

Which is longer 5 meters or 400 millimeters?

5000 > 400

So, the answer is b. 5 meters.

The frequency which is to filled in the table is 1, 4, 2 and 4.

Given that;

All shopping time of ten shopkeeper:

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.

Since, Shopping time is given as ,

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

And, Intervals for which frequency is given is ,

18 to 22, 23 to 27, 28 to 32, 33 to 37.

Hence, WE get;

Numbers in the range 18 to 22 = 18  therefore 1

Numbers in the range 23 to 27 = 25, 25, 24, 25 therefore 4

Numbers in the range 28 to 32 = 29, 28  therefore 2

Numbers in the range 33 to 37 = 36, 33, 37,  therefore 3

Hence, the frequency which is to filled are 1, 4, 2 and 4.

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