Maliah goes to an electronic store. Let y represent the price of a laptop and let x
represent the price of a television. The equation y= 3x + 22 relates the prices.
Which of the following statements are true? Select all that apply.

the diameter of the circle is 12 centimetres.

The diameter of a circle is the distance across the circle passing through its centre. It is twice the length of the radius. Therefore, to find the diameter of a circle, we can simply multiply the radius by 2.

In this case, the radius of the circle is given as 6 centimetres. So, to find the diameter, we can use the following computation:

Diameter = 2 × Radius

Substituting the value of the radius in the above formula, we get:

Diameter = 2 × 6 cm

Diameter = 12 cm

Therefore, the diameter of the circle is 12 centimetres.
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Complete question:- The radius of a circle is 6 centimeters. Which computation could be used to find the diameter of this circle?

The Right Angle Triangle length of side L is √13.

What is Right Angle Triangle ?

A right triangle is a triangle in which one of the angles is at a right angle or two of the sides are perpendicular, or more formally, an orthogonal triangle, formerly known as a rectangled triangle. Trigonometry's fundamental concept is the relationship between a right triangle's sides and other angles.

Given

M = 3

N = 2

L = ?

We have to find out the length of side L

For finding we can use Pythagorean theorem

H = L, P = M , B = 2

H^2 = P^2 + B^2

H^2 = (3)^2 + (2)^2

H^2 = 9 + 4

H^2 = 13

H = √ 13

Hence,  the length of side L is √ 13
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Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

The result of the addition operation of 1204.2 + 4.72613 is approximately 1208.93.

An addition operation involves two addends added together to result in a number called the sum.

The addition operation is one of the four basic mathematical operations, including subtraction, division, and multiplication.

Mathematical operations combine numbers, variables, and values with mathematical operands to solve mathematical questions.

1204.2 + 4.72613

= 1208.92613

= 1208.93

Thus, the addition of 1204 and 4.72613 yields a total of 1208.93 approximately.

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The surface area of the cube is 1536 ft².

We have,

The cube can be seen as 6 square areas in the net.

So,

The surface area of the cube.

= 6 x area of one square surface.

Now,

Side = 16 ft

Area of one square surface.

= side²

= 16²

= 256 ft²

Now,

The surface area of the cube.

= 6 x area of one square surface.

= 6 x 256

= 1536 ft²

Thus,

The surface area of the cube is 1536 ft².

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Answer:

feed them to the lions

Step-by-step explanation:

rawr

Answer:

Bug0

Step-by-step explanation:

tangá Bubv haha yaanka amp

The box plot below shows the number of eggs laid by a group of chickens that were all fed the same food.

Number is a mathematical concept used to quantify amounts of objects, people, money, and more. Number can be expressed as a quantity, symbol, or word. It is used to count, measure, and identify items. Numbers can be used to add, subtract, multiply, and divide. They are often used to represent data, such as in charts and graphs. Numbers can also be used to solve equations and measure distances.

The box plot consists of a rectangular box, with a central horizontal line, a bottom line and a top line. The bottom line represents the lower quartile, which is the 25th percentile of the data. The central line represents the median, which is the 50th percentile of the data. The top line represents the upper quartile, which is the 75th percentile of the data. Additionally, the box plot includes two vertical lines extending from the box. These lines, called whiskers, extend until the most extreme data points that are not considered outliers. Outliers are data points that are greater than 1.5 times the interquartile range (IQR) above the upper quartile or below the lower quartile. The box plot in this case shows that the chickens laid between 0-6 eggs, with the median (50th percentile) being 4 eggs. There are no outliers in this box plot.

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The bοx plοt shοws that there is nο statistically significant difference between the number οf eggs laid by the grοup οf chickens fed the fοοd and the grοup οf chickens that were nοt fed the fοοd.

A bοx plοt is a graphical representatiοn οf statistical data that uses the minimum, first quartile, median, third quartile, and maximum values. The term "bοx plοt" refers tο hοw the graph resembles a rectangle with lines extending frοm the tοp and bοttοm.

A rectangular bοx with a central hοrizοntal line, a bοttοm line, and a tοp line cοnstitutes the bοx plοt. The bοttοm line represents the lοwer quartile, οr the data's 25th percentile. The central line represents the median, which is the data's 50th percentile.

The tοp line represents the upper quartile, which is the data's 75th percentile. The bοx plοt alsο includes twο vertical lines extending frοm the bοx. These lines, knοwn as whiskers, extend all the way tο the mοst extreme data pοints that are nοt cοnsidered οutliers.

Outliers are data pοints that are mοre than 1.5 times the interquartile range  abοve οr belοw the upper οr lοwer quartiles. In this case, the bοx plοt demοnstrates that the chickens

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Complete Question:

The simplified form of the expression is 71/24.

To simplify the expression 4 - 1/3 - 7/8 + 1/6, we can follow the order of operations, which dictates that we perform multiplication and division before addition and subtraction.

Here's the step-by-step solution:

Find a common denominator for the fractions involved. In this case, the least common denominator (LCD) is 24, which is the least common multiple of 3, 8, and 6.

Convert the fractions to have the same denominator, which is 24:

4 - 1/3 - 7/8 + 1/6

= 4 * 24/24 - 1/3 * 8/8 - 7/8 * 3/3 + 1/6 * 4/4 (Multiplying each fraction by the appropriate form of 1 to get the common denominator)

= 96/24 - 8/24 - 21/24 + 4/24 (Performing the multiplication)

Combine the numerators over the common denominator:

= (96 - 8 - 21 + 4)/24 (Combining numerators)

= 71/24 (Performing the subtraction)

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9514 1404 393

Answer:

  105°

Step-by-step explanation:

The exterior angle marked "?" is equal to the sum of the remote interior angles:

  ? = 25° +80°

  ? = 105°

Answer:

Step-by-step explanation:

Set up an equation:

7x + 10x + 13x = 100000 and solve for x:

30x = 100000 so

x = 3333.33

Anna gets 7(3333.33) = 23333.31

Louise gets 10(3333.33) = 33333.33

Lacey gets 13(3333.33) = 43333.29

Answer:

  2 +4√2

Step-by-step explanation:

Perhaps you want the simplified form of (6-√8)/(√2 -1).

The denominator can be rationalized by multiplying numerator and denominator by the conjugate of the denominator:

  \(\dfrac{6-\sqrt{8}}{\sqrt{2}-1}=\dfrac{(6-\sqrt{8})(\sqrt{2}+1)}{(\sqrt{2}-1)(\sqrt{2}+1)}=\dfrac{6\sqrt{2}+6-\sqrt{16}-\sqrt{8}}{2-1}=\boxed{2+4\sqrt{2}}\)

__

Additional comment

The conjugate of the denominator is the same pair of terms with the sign between them changed. The product of the binomial and its conjugate is then the difference of squares. Since the square of a square root eliminates the radical, multiplying by the conjugate has the effect of removing the radical from the denominator.

The same "difference of squares" relation can be used to remove a complex number from the denominator.

  (a -b)(a +b) = a² -b²

In general, the differences of terms of the same power can be factored. This means that denominators with this form can be "rationalized" by taking advantage of that factoring.

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Answer:

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

Simplify the expression in steps:

\(\cfrac{6-\sqrt{8} }{\sqrt{2}-1 } =\)

\(\cfrac{6-2\sqrt{2} }{\sqrt{2}-1 } =\)

\(\cfrac{2(3-\sqrt{2} )(\sqrt{2} +1)}{(\sqrt{2}-1)(\sqrt{2}+1) } =\)

\(\cfrac{2(3\sqrt{2}+3-(\sqrt{2}^2) -\sqrt{2} )}{(\sqrt{2})^2-1 } =\)

\(\cfrac{2(2\sqrt{2}+3-2) }{2-1} =\)

\(\cfrac{2(2\sqrt{2}+1) }{1} =\)

\(4\sqrt{2}+2\)

The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

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Answer:

The original price was $821.25

Step-by-step explanation:

The price of an object is $878.74 including a tax of 7%.

We are required to find the original price.

If the tax is 7%, then the total price is 100+7=107% of the original price.

Thus, $878.74 is the 107% of the original price x, thus:

x = $878.74/107*100 = $821.25

The original price was $821.25

The triangle given is a scalene acute triangle

A triangle can be classified based on the measures of its angles and the lengths of its sides.

In this case, the angle measures of the triangle are 82, 75, and 23 degrees. Since the sum of the angles in a triangle is always 180 degrees, we can verify that these angles satisfy this condition: 82 + 75 + 23 = 180.

The triangle is not an equilateral triangle because all the sides are not of equal length.

The triangle also doesn't have one right angle so it can't be right triangle.

Now, as per the angle measures, none of the angles are right angles, but one angle is greater than 90 degree, so this triangle is not acute triangle.

So, this triangle is not an Obtuse triangle since it has no angle greater than 90 degrees.

As the triangle has no sides of equal length, it is also a Scalene triangle.

Therefore, the triangle would be classified as a Scalene acute triangle (c).

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The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)

Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)

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The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

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Answer:

x = 21

Step-by-step explanation:

As stated in the hint: When angles form a linear pair, their sum is 180° in other words, these are supplementary angles:

3x + 18 + 4x + 15 = 180 add like terms

7x + 33 = 180 subtract 33 from both sides

7x = 147 divide both sides by 7

x = 21

Answer:

128 degrees

Step-by-step explanation:

Remember : Sum of all angles in a hexagon is 720°!

Thus,

128° + 100° + 120° + X + 112° + 133° =720°

=> 593 + X = 720

Answer:

\(x < -3\frac{3}{4}\)

Step-by-step explanation:

Given

\(-6x+22\frac{1}{4}+2x &gt; 9\frac{3}{4} +16\frac{1}{2}\)

Required

Solve for x

\(-6x+22\frac{1}{4}+2x &gt; 9\frac{3}{4} +16\frac{1}{2}\)

Collect Like Terms

\(-6x+2x &gt; 9\frac{3}{4} +16\frac{1}{2}-22\frac{1}{4}\)

\(-4x &gt; 9\frac{3}{4} +16\frac{1}{2}-22\frac{1}{4}\)

Convert all fractions to improper fractions

\(-4x &gt; \frac{39}{4} +\frac{33}{2}-\frac{45}{4}\)

Take LCM

\(-4x &gt; \frac{39+66- 45}{4}\)

\(-4x &gt; \frac{60}{4}\)

\(-4x &gt; 15\)

Divide through by -4; When an inequality is divided by a negative number, the inequality changes.

\(\frac{-4x}{-4} &lt; \frac{15}{-4}\)

\(x &lt; \frac{15}{-4}\)

\(x &lt; -\frac{15}{4}\)

Convert to improper fraction

\(x < -3\frac{3}{4}\)

Answer:

28938.24

Step-by-step explanation:

A=π\(r^{2}\)

  = 3.14 x \(96^{2}\)

  = 28938.24

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The quotient of 47.61 and 15.87 has the result given as follows:

47,61 : 15,87 = 3.

The operation for this problem is defined as follows:

47,61 : 15,87 =

The : symbol means that the operation is a division, that is, we must obtain the quotient of dividing 47.61 by 15.87.

Using a calculator, we have that 47.61 is three times 15.87, hence the result of the quotient is given as follows:

47,61 : 15,87 = 3.

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Answer:

15/28 simplified to 5/8 (credit to other answer.)

Step-by-step explanation:

Multiply the top numbers 3*5 which equals 15 and then multiply the bottom numbers 4 and 7 for 28. Put 15 over 28.

Answer:

(x-x)/(y-y)

Step-by-step explanation:

Slope is defined by the change in y divided by the change in x, not the change in x divided by the change in y.

In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

To determine the percentage change within the number of wolves each year, we ought to look at the development rate of the work w(x) = 14 * 1.08^x.

The development rate in this case is given by the example of 1.08, which speaks to the figure by which the number of wolves increments each year. In this work, the coefficient 1.08 speaks to a development rate of 8% per year.

To calculate the percentage change, we subtract 1 from the growth rate and increase by 100 to change over it to a rate:

Percentage change = (1.08 - 1) * 100 = 0.08 * 100 = 8%.

In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

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