Without using a calculator, order the following expressions from least to greatest.

Answer: $160

Step-by-step explanation: As a pair of sunglasses, or "x", is 144 when reduced by 10% (90% in total), you can assume 90% of x = 144. To get rid of the 90, or 9/10, multiply both sides by its reciprocal, or 10/9. 90% x 10/9 = 1 (left with only x), and 144 x 9 / 10 = 160.

A seventh grader selected at random has a 76% chance of playing an instrument other than the guitar.

The study of chance and uncertainty is covered in the mathematical field of probability.

There are 38 seventh graders in all who play an instrument, which is equal to 9 + 9 + 11 + 9.

11 + 9 + 9 equals 29, the number of seventh graders who play instruments besides the guitar.

Hence, the likelihood that a randomly selected seventh grader will play an instrument other than the guitar is:

29/38 ≈ 0.763

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The end behavior of the linear function f(x) = ax - 5 tells us that as x approaches infinity, the value of f(x) approaches infinity, and as x approaches negative infinity, the value of f(x) approaches negative infinity.

To determine the possible values of a that satisfy this end behavior, we need to consider the slope of the function.

Since the function is linear, the slope is the coefficient of x, which is a.

If a is positive, then the function will increase without bound as x approaches infinity and decrease without bound as x approaches negative infinity. This matches the end behavior we want, so we know that a > 0.

If a is negative, then the function will decrease without bound as x approaches infinity and increase without bound as x approaches negative infinity. This does not match the end behavior we want, so we can exclude all negative values of a.

Therefore, the inequality that represents all possible values of a is:

a > 0

Answer: B

Step-by-step explanation:

It's a linear function, a line,   When x is getting bigger y is going up so it's a positive slope.

a  must be a positve number and can't be 0.

so answer is B

Answer:

The total number of visitors who purchased costumes is 185 + 25 = 210. Therefore, the number of visitors who did not purchase a costume is 138 + (1900 - 210) = 1828. Rounding this number to the nearest whole number gives us 1828 visitors who are expected to buy no costume

Step-by-step explanation:

The equation of line FD in slope-intercept form is y = (1/7)x + 22/7

Firstly, let's recall the slope-intercept form of the equation of a line:

y = mx + b

where m is the slope of the line and b is the y-intercept. To find the equation of line FD, we need to determine the value of b. We can do this by substituting the coordinates of the given point (6,4) and the slope (1/7) into the slope-intercept form and solving for b.

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

y - y1 = m(x - x1)

where (x1, y1) are the coordinates of the given point, we can substitute x1 = 6, y1 = 4, and m = 1/7 to get:

y - 4 = (1/7)(x - 6)

Simplifying, we can distribute 1/7 to x - 6 to get:

y - 4 = (1/7)x - 6/7

Adding 4 to both sides, we get:

y = (1/7)x + 22/7

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Answer:

14

Step-by-step explanation:

[tex]2d + 4d - 9 - 7[/tex]

substitute the variable

[tex]2(5) + 4(5) - 9 - 7[/tex]

multiply

[tex]10 + 20 - 9 - 7[/tex]

simplify

[tex]30 - 16[/tex]

[tex]14[/tex]

Answer:

D. They are the same size.

Step-by-step explanation:

Triangle A:

sin 37 = 6 / H      where H = the hy[otenuse

H = 6 / sin 37

H = 9.8698

Triangle B:

cos 53 = 6/H

H = 6 / cos 53

H = 9.9698

The required, given figure is rotated with angle 90° in anticlockwise direction.

For a better understanding of the rotation of the given figure on a coordinate plane, find out the slope of any one vertex, because every vertex in the figure rotated with the same factor.

Consider the slope of edge AB,
Slope = rise/run
Slope = 3/5

Now the slope of A'B'
Slope = rise/run
Slope = -5/3

Calculate the product of both the slopes,

= -5/3*3/5
= -1

Since it is proven that the product of slopes of perpendicular is always -1, it implies that AB has been rotated with an angle of 90°, so the whole figure rotated in a 90° anti-clockwise direction.

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The number is 16 for which the statement function ()=(2−6)(−4) will be true.

A relationship between inputs and outputs where each input is connected to only one result is called a function.

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

The given function is ()=(2−6)(−4)

Assume that, x = (2−6)(−4)

BODMAS rule, B denotes brackets, O denotes order, D denotes  division, M denotes  multiplication, A denotes  addition and S denotes  subtraction

According to BODMAS rule simplify (2-4)

x = (-4)(−4)

Now multiply the numbers:

x = 16

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Answer:

[tex]x = 11\\\\y = 0[/tex]

Step-by-step explanation:

Given equations are

x + 4y = 11   ....... [1]

x - 6y = 11   ....... [2]

[1]  - [2]

[tex]x-6y& =11\\-\\\underline{x+4y=11}\\\\-10y &= 0\\\\y = 0\\\\[/tex]

Substitute y = 0 in equation [1]
x + 4y = 11

x + 4(0) = 11

x = 11

-

The height of the woman will be 68 inches, so the correct option is B.

Here we know that the average height of women in the United States is 62 inches with a standard deviation of 2 inches.

We want to find the height of a women whose height is 3 standard deviations above the mean.

This is really simple, just take the average height and add 3 times the standard deviation, we will get:

62 in + 3*2in

62in + 6in

68in

The height is 68 inches, so the correct option is B

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Answer:

The distance around the hat using π = 3.14 is 16.64 inches (rounded to the hundredths place).

Answer:34

Step-by-step explanation:

The height is changing at a rate of 15 inches every minute.

We can use the derivative of the volume formula to derive an equation that links the rates of change of the cone's volume, radius, and height:

Cone volume formula: V = (1/3)r2h

Using derivative on both sides with regard to time, we arrive at:

dV/dt equals (1/3) * 2r * dr/dt * h plus (1/3) r2 * dh/dt.

where

We can enter the values supplied here as substitutes in this equation:

dV/dt = 43 in3 minutes.

Dr/Dt = 3 In/Minute

r = 1 in

V = 13 in³

For dh/dt, we can solve for:

43 = (1/3)π * 2(1) * 3 * h + (1/3)π(1)² * dh/dt

43 = 2πh + (1/3)π * dh/dt

129 = 6πh + π * dh/dt

dh/dt = (129 - 6πh) / π

We may now change h = (3V) / (r2) to obtain:

dh/dt is equal to (129 - 6 (3V)/(r2)) /

(129 - 18V/r2) / dh/dt

By substituting the V and r values that are supplied, we obtain:

dh/dt = (129 - 18(13)/(1²)) / π

dh/dt = about 15 in/min

As a result, the height is changing at a rate of 15 inches every minute.

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The road distance between Wrexham and Corwen can be found to be 21 miles

The miles in total that Elyas travelled to and from work each week would be 270 miles.

The road distance between Wrexham and Corwen can be found at the intersection between Wrexham and Corwen on the table which is 21 miles.

The miles between Mold and Oswestry by the same method would be 27 miles. This means that the total miles traveled by Elyas :

= 27 miles x 2 going and coming x 5 days a week

= 270 miles

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Answer: 103/125

Step-by-step explanation:

As the question says that It takes 4.12 gallons of paint to paint a fence. How much paint is needed for 1/5 of the fence?

so we have to multiply to get the amount of gallons of paint it is used to paint 1/5 of the wall.

First we can't multiply decimal number with fraction so we will convert the decimal number into a fraction so 4.12 in fraction = 103/25.

Thus we will multiply 103/25 x 1/5 to get our answer. So when we multiply we get  103/125.

So our answer will be 103/125.

Answer:

3/5

Step-by-step explanation:

Let the number of beech trees be 3x and the number of maple trees be 2x (since the ratio of beech to maple is 3.2 : 1, we can choose any common factor for the numbers of beech and maple trees).

So, the total number of trees is 3x + 2x = 5x.

We are given that the total number of trees is 5040, so:

5x = 5040

x = 1008

Therefore, the number of beech trees is 3x = 3(1008) = 3024, and the number of maple trees is 2x = 2(1008) = 2016.

The fraction of trees that are beech is:

3024 / (3024 + 2016) = 3024 / 5040

To simplify this fraction, we can divide both the numerator and denominator by their greatest common factor, which is 1008:

3024 / 5040 = (3024 ÷ 1008) / (5040 ÷ 1008) = 3 / 5

Therefore, the fraction of trees that are beech is 3/5.

Option A: Due to its greater deviation from the mean and rarity, Ron's Z-score is more impressive.

The two scores must be transformed into a standard score (sometimes referred to as a z-score), which calculates how many standard deviations above or below the mean each score is, in order to be compared.

In a class where the mean was 72 and the standard deviation was 5, the standard score for Ron's score of 87 is:

z = (87 - 72) / 5 = 3

For Julie's score of 84 in a class where the mean was 75 and the standard deviation was 6, the standard score is:

z = (84 - 75) / 6 = 1.5

We can see that Ron's score of 87 is 3 standard deviations above the mean whereas Julie's score of 84 is just 1.5 standard deviations above the mean, the number of standard deviations above or below the mean is displayed by z-scores.

As a result, Ron's score is more outstanding because it deviates from the average more and highlights a more exceptional accomplishment.

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Complete question is:

In a statistics test, Ron's score in final examination follows a normal distribution with mean 72 and standard deviation of 5. His score on the final was 87.

Again, julie took statistics with professor fisher, whose final exam scores follow a normal distribution with mean 75 and standard deviation of 6. her score on the final was 84. which of the two scores, ron's or julie's, is more impressive?

A. Ron's score is more impressive.

B. Julie's score is more impressive.

C. Both scores are equally impressive.

Matt needs 120 quilt squares. Option B

1 yard is equal to 3 feet, and 2 1/2 feet is equal to 30 inches (since there are 12 inches in a foot).

So the dimensions of the wall hanging in inches are:

1 yard = 3 feet = 36 inches

2 1/2 feet = 30 inches

To cover the entire area of the wall hanging with quilt squares, we need to divide the total area of the wall hanging by the area of each quilt square.

The area of each quilt square is:

3 inches x 3 inches = 9 square inches

The total area of the wall hanging is:

36 inches x 30 inches = 1,080 square inches

Dividing the total area of the wall hanging by the area of each quilt square gives:

1,080 square inches / 9 square inches = 120 quilt squares

Matt needs 120 quilt squares to cover the entire area of the rectangular wall hanging.

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The properties of a parallelogram are:

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent

Diagonals bisect each other

Diagonals bisect the opposite angles

A parallelogram is a four-sided polygon with two pairs of parallel sides. In other words, opposite sides of a parallelogram are parallel and have equal length. Additionally, opposite angles of a parallelogram are also equal in measure.

Let's evaluate each option given in the question against the above properties:

Opposite angles are congruent: This is true, it is one of the properties of a parallelogram.

Opposite sides are parallel: This is true, it is one of the properties of a parallelogram.

Diagonals are congruent to each other: This is not true, diagonals of a parallelogram bisect each other, but they are not necessarily congruent.

Has four right angles: This is not true, a parallelogram has opposite angles that are congruent, but not necessarily right angles.

Diagonals bisect the opposite angles: This is true, it is one of the properties of a parallelogram.

Diagonals bisect each other: This is true, it is one of the properties of a parallelogram.

Opposite sides are congruent: This is true, it is one of the properties of a parallelogram.

Diagonals are perpendicular to each other: This is not true, diagonals of a parallelogram bisect each other, but they are not necessarily perpendicular.

Therefore, the properties of a parallelogram are:

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent

Diagonals bisect each other

Diagonals bisect the opposite angles

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The properties of a B are:

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent

Diagonals bisect each other

Diagonals bisect the opposite angles

What is parallelogram?

A parallelogram is a four-sided polygon with two pairs of parallel sides. In other words, opposite sides of a parallelogram are parallel and have equal length. Additionally, opposite angles of a parallelogram are also equal in measure.

Let's evaluate each option given in the question against the above properties:

Opposite angles are congruent: This is true, it is one of the properties of a parallelogram.

Opposite sides are parallel: This is true, it is one of the properties of a parallelogram.

Diagonals are congruent to each other: This is not true, diagonals of a parallelogram bisect each other, but they are not necessarily congruent.

Has four right angles: This is not true, a parallelogram has opposite angles that are congruent, but not necessarily right angles.

Diagonals bisect the opposite angles: This is true, it is one of the properties of a parallelogram.

Diagonals bisect each other: This is true, it is one of the properties of a parallelogram.

Opposite sides are congruent: This is true, it is one of the properties of a parallelogram.

Diagonals are perpendicular to each other: This is not true, diagonals of a parallelogram bisect each other, but they are not necessarily perpendicular.

Therefore, the properties of a parallelogram are:

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent

Diagonals bisect each other

Diagonals bisect the opposite angles

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The requried fraction of vehicles that are not cars is 7/33.

The fraction of the vehicles that are not cars can be found by deducting the number of cars from the total number of vehicles and then dividing by the total number of vehicles:

Number of vehicles that are not cars = 495 - 390 = 105

Fraction of vehicles that are not cars = (Number of vehicles that are not cars) / (Total number of vehicles) = 105/495

To simplify this fraction, we can divide both the numerator and denominator by the greatest common factor, which is 15:

105/495 = (105 ÷ 15) / (495 ÷ 15) = 7/33

Thus, the fraction of vehicles that are not cars is 7/33.

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Answer:

Hello sir

Step-by-step explanation:

I think u need to do

24 x 2 then divide that by 70 percent

Answer: A = 15cm squared

Step-by-step explanation:

I think :)

Given that the base of the prism is 4 cm by 3 cm and the height is 5 cm, the volume can be calculated as:

The volume of the prism = (length x width x height)

By applying the given values:

Volume of prism = 4 cm x 3 cm x 5 cm

The volume of the prism = 60 cubic cm

That implies the volume of the rectangular prism is 60 cubic cm.

We know that the pyramid's base measures 4 by 3 cm and its height is 5 cm, the base's area may be calculated as follows:

Area of base = length x width

Area of base = 4 cm x 3 cm

Area of base = 12 square cm

The volume of the pyramid can now be calculated as:

Volume of pyramid = (area of base x height) / 3

Volume of pyramid = (12 square cm x 5 cm) / 3

The volume of the pyramid = 20 cubic cm

Therefore, the volume of the square pyramid is 20 cubic cm.

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After 4000 years, only about 52.5 mg of Radium-226 remains in the original sample containing 300 mg of Radium-226

So if a sample contains 300mg of Radium-226 and 4000 years have passed since its creation, we can calculate the remaining amount of Radium-226 using the following formula:

Remainder= Initial value * (1/2) ^ (time / half-life)

where the Initial amount is the initial amount of Radium-226 in milligrams, time is the time in years, and the half-life is the half-life of Radium-226 in years.

Putting the values given into the formula, we get

Amount remaining = 300 * (1/2)^(4000/1590)

= 300 * (1/2)^2.5

= 300 * 0.1755

≈ 52.5 mg

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The degrees of freedom is determined by the number of categories in your data minus 1.

The step after calculating your test statistic chi-squared is to calculate the degrees of freedom (df) and the critical value. The degrees of freedom is determined by the number of categories in your data minus 1. The critical value is found using a chi-squared distribution table and is based on your chosen significance level and degrees of freedom. Once these values are calculated, you can compare your test statistic to the critical value to determine if your results are statistically significant. This step is necessary to ensure that your hypothesis testing is valid and reliable.
This will help you determine whether to reject or accept the null hypothesis based on your data.

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Answer:

B. 68.4π in2 68.4π in 2

Kyle needs approximately 68.4π square inches of wrapping paper to completely cover the cylindrical container.

Now,

For calculate the amount of wrapping paper needed to cover the cylindrical container, we need to find the surface area of the container.

Hence, We need to find the area of both the top and the bottom of the cylinder, as well as the lateral area (the curved part of the cylinder).

The formula for the area of a circle is,

A = πr²,

where r is the radius of the circle.

Since we have two circles (the top and bottom of the cylinder), we can calculate their combined area as:

A = 2π(3 inches)²

   = 2π(9 square inches)

    = 18π square inches

And, For the lateral area, we need to find the circumference of one of the circles and multiply it by the height of the cylinder.

Since, The formula for the circumference of a circle is,

C = 2πr.

C = 2π(3 inches)

C = 6π inches

So, the lateral area of the cylinder is:

6π inches x 8.4 inches

= 50.4π square inches

Adding these two areas together, we get the total surface area of the cylinder:

= 18π square inches + 50.4π square inches

= 68.4π square inches

Therefore, Kyle needs approximately 68.4π square inches of wrapping paper to completely cover the cylindrical container.

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The total amount that Asher needs to save to buy a new playstation is 208.53.

The keyword "total" is crucial in this problem because we are trying to find the total amount of money that Asher needs to save to buy a new playstation. It's essential to understand that 78.20 is only a fraction of the total amount, and we need to determine what that fraction is.

To start, we can set up a proportion that represents the relationship between the fraction of the total amount saved (3/8) and the actual amount saved (78.20). We can use x to represent the total amount Asher needs to save:

3/8 = 78.20/x

To solve for x, we can cross-multiply the equation:

3x = 8 * 78.20

3x = 625.6

x = 625.6/3

x = 208.53

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The least common multiple of x² + x - 6 and 3x² - 12 is equal to 3(x + 3)(x - 2)(x + 2). So, correct option is B.

To find the least common multiple (LCM) of two polynomials, we need to factor each polynomial and then identify the common factors while including the highest power of each factor.

Firstly, let's factor the polynomials given:

x² + x - 6 = (x + 3)(x - 2)

3x² - 12 = 3(x² - 4) = 3(x + 2)(x - 2)

Next, we need to identify the common factors while including the highest power of each factor:

(x + 3), (x - 2), and 3(x + 2)

Therefore, the LCM of the two polynomials is the product of the common factors:

LCM = (x + 3)(x - 2)(3x + 6) = 3(x + 3)(x - 2)(x + 2)

Therefore, the answer is option (b), 3(x + 3)(x - 2)(x + 2).

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