solve for x: 3-2(2x-5)<-4(x+2)

Answer:

(4,5)

Step-by-step explanation:

Hehe Hope it helped yu.

The reflection across the x-axis is an illustration of transformation, and the coordinates of the transformed point is (-4,-5)

The point is given as:

Point = (-4,5)

The rule of reflection across the x-axis is:

(x,y) -> (x,-y)

So, we have:

(x,y) -> (-4,-5)

Hence, the coordinates of the transformed point is (-4,-5)

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The measure of variation would be best to describe given distribution is mean. Therefore, option D is the correct answer.

A dot plot, also known as a strip plot or dot chart, is a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis. These types of charts are used to graphically depict certain data trends or groupings.

Given that, the dot plot shows the ages of the 20 people currently in Ms. Jens classroom.

The data is fairly symmetrical with the exception of one outlier at 27 which will not drastically affect the mean. So the mean is a good measure to describe this data.

Therefore, option D is the correct answer.

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Answer:

6/7 + 18/7 = 24/7

Step-by-step explanation:

you add the numerator while the denominator remains the same

Answer:

16 girls

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

How do you solve this question?

In order to find this answer, you must multiply the number given (30) by the percentage (75%). 75% is equal to .75. So, if you multiply 30 and 75%, you will get 22.5.

Hope this helps,

Philip

Brainliest always appreciated! <3

A convex octagon can be split into a set of triangles by connecting its vertices in a way that each vertex is connected to its neighboring vertices.

There are several ways to split a convex octagon into triangles, but a common approach is to use the ear clipping algorithm, which involves finding triangles that have their vertices on the octagon's perimeter and have no other vertices inside the triangle.

For example, if the vertices of the octagon are given by v1, v2, v3, v4, v5, v6, v7, and v8, then we can split the octagon into the following triangles:

(v1, v2, v3), (v3, v4, v5), (v5, v6, v7), (v7, v8, v1), (v2, v3, v5), (v4, v5, v7),

(v6, v7, v1), and (v8, v1, v3).

Each of these triangles has three vertices that are connected to form a closed polygon, and together they form the entire convex octagon. By splitting the octagon into smaller triangles, it is easier to perform computations, such as finding the area or the normal vectors of the octagon's surface.

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Answer:

The sum of the interior angle measures of a regular hexagon is 720°.

Step-by-step explanation:

To find the sum of the interior angle measures of a regular hexagon, we can use the fact that any polygon can be divided into triangles. The formula to find the sum of the interior angles of any polygon with n sides is:

Sum of interior angles = (n - 2) × 180°

In the case of a hexagon, n = 6. So, we can plug this value into the formula:

Sum of interior angles = (6 - 2) × 180° = 4 × 180° = 720°

The sum of the interior angle measures of a regular hexagon is 720°.

To explain this using triangles, let's divide the hexagon into triangles. A hexagon can be divided into four triangles by drawing three diagonals from one vertex to the three non-adjacent vertices. Since the sum of the interior angles of each triangle is 180°, and we have four triangles:

Sum of interior angles of hexagon = 4 × 180° = 720°

The sum of the interior angle measures of a regular hexagon is 720°.

The car is worth $15848 after six years

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

Initial value = $25,300

Rate = 7.5% per year decreasing

Using the above as a guide, we have the following:

P(t) = Initial value * (1 - Rate)^t

So, we have

P(t) = 25,300(1 - 7.5%)^t

P(t) = 25,300(0.925)^t

In six years, we have

t = 6

So, we have

P(6) = 25,300(0.925)^6

P(6) = 15848

Hence, the value is 15848 in 6 years

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Answer:

the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Step-by-step explanation:

To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:

Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.

Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.

Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).

In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Answer:

\(\mathrm{Flagpole\;Height = 17 \;feet}\)

Step-by-step explanation:

Here we have two similar right triangles

One right triangle has base of 8 ft and Jeremy's height of 68" as the height

The other right triangle has the base (8 + 16 = 24) and the height is the height of the flagpole. This is the large triangle

Since the triangles are similar,

The ratios of the sides must be the same

\(\mathrm{\dfrac{Jeremy's \;Height}{Flagpole \; Height}} = \dfrac{8}{24}= \dfrac{1}{3}\\\\\\68" = \dfrac{68}{12} \; feet\\\\\textrm{Dividing both numerator and denominator by 4:}\\\\= \dfrac{17}{3}\)

Therefore

\(\mathrm{\dfrac{17/3}{Flagpole\;height} = \dfrac{1}{3}}\\\\\)

Cross -multiplying we get
\(\mathrm{\dfrac{17}{3} \times 3 = Flagpole\; Height}\\\\\mathrm{Flagpole\;Height = 17 \;feet}\)

Answer: 162

Step-by-step explanation:

The given probabilities are as follows:

The probabilities are determined using the formula below:

Spinner landing on at least one A:

number of at least one A = 7

Spinner landing on at least one A = 7/16

Spinner landing on C and D in any order:

number of landing on C and D in any order = 2

Spinner landing on C and D in any order = 2/16

Spinner landing on C and D in any order = 1/8

Spinner landing on two Bs:

number of  landing on two Bs = 1

Spinner landing on two Bs = 1/16

Spinner landing on C on the second spin:

Number of landing on C on the second spin = 4

Spinner landing on C on the second spin = 1/4

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Answer:

answer is c

Step-by-step explanation:

hope you get it right

Answer:

6

Step-by-step explanation:

11 1/2 = 11.5

2 1/4 = 2.25

11.5 ÷ 2.25= 5.11

she needs 6 containers because you round up 5.11 to 6.

if your doing the work in fractions rather decimals let me know and I can explain it that way too

Answer:

the percent error in the student's measurement is 4.65%.

Step-by-step explanation:

The percent error can be calculated using the formula:

| (measured value - actual value) / actual value | * 100%

In this case, the measured value is 2.7 grams and the actual value is 2.58 grams. Substituting these values into the formula, we get:

| (2.7 - 2.58) / 2.58 | * 100% = 4.65%

Rounding this to the nearest hundredth of a percent, we get a percent error of 4.65%.

Therefore, the percent error in the student's measurement is 4.65%.

3a / b²

....................................

Answer:

3a/b^2 is the simplified answer

The line's equation in the form of a point-slope is y + 7 = 7 (x + 1).

A mathematical description of the steepness as well as the direction of a line is its slope, commonly referred to as its gradient. Despite the lack of obvious justification, the letter "m" is frequently used to represent slope. Though it is written as "y = mx + b" and "y = mx + c," respectively.

Slope:

slope = y2 - y1 / x2 - x1.

Slope halt the form:

y = mx + b.

Slope develop at a point.:

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

Common Form. Ax + By = C.

x - axis. the graph's horizontal axis.

y - axis. the graph's vertical axis.

intercept with X. the location where a line crosses the x axis at an angle.

intercepting at Y.

An equation for a line is denoted by the formula: y - y0 = m(x-x0), where m is the slope of the line and (x0, y0) is any point on the line.

Using the coordinates (-1, -7) and (1, 7), calculate the slope:

m = 7 + 7 / 1 + 1m = 7.

Substitute the slope and (-1, -7) in the formula to obtain:

y - (-7) = 7 (x-(-1))=> y + 7 = 7 (x+ 1)

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Answer:

A

Step-by-step explanation:

A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

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Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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Answer:

66170 mm

Step-by-step explanation:

0.06617 km * 1000 km/m * 1000 m/mm = 66170 mm

Cost of the health insurance is $11657.14

What is cost?

A cost is the worth of money that has been used up to create something or supply a service and is thus no longer accessible for use in production, research, retail, or accounting. In business, the cost might be one of acquisition, in which case the money spent to obtain it is recognized as cost. In this situation, money is the input that is used to purchase the item. This acquisition cost might be the total of the original producer's production expenses and the acquirer's additional transaction costs over and above the amount paid to the producer. Typically, the price includes a profit margin above the cost of manufacture.

14% of x = 68

x = 68 x 100/14

  = $485.71

Total cost = $485.71 x 24 months = $11657.14

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In the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

In the given diagram, we have ACDE as a quadrilateral, and we know that CD is congruent to CE. To identify two congruent angles, let's examine the properties of the quadrilateral.

Since ACDE is not specified to be a particular type of quadrilateral (such as a parallelogram or rectangle), we cannot directly infer congruent angles from its properties.

However, we can make use of some general properties of quadrilaterals to identify two congruent angles. One property is that the sum of the interior angles of a quadrilateral is always 360 degrees.

Let's consider angle C as one of the angles in ACDE. Since CD is congruent to CE, we can denote angle CDE as angle C' to represent the congruent angles.

Now, using the property that the sum of the interior angles of a quadrilateral is 360 degrees, we can express the relationship between the angles of ACDE as:

∠ACD + ∠CDE + ∠DEA + ∠EAC = 360 degrees

Since CD is congruent to CE, angles CDA and CEA are also congruent (opposite angles in a quadrilateral). So, we can rewrite the equation as:

∠ACD + ∠CDA + ∠C'EA + ∠EAC = 360 degrees

Since we want to identify two congruent angles, let's focus on angles CDA and C'EA. These two angles are formed by the intersection of the congruent sides CD and CE with different adjacent sides.

Therefore, we can conclude that angles CDA and C'EA are congruent in ACDE.

In summary, in the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

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Answer:

1+tan2x

Tan2x

=       sec²x          = Sec²x         = cosec²x

    Tan²x            ( Sec²x/cosec²x)

Step-by-step explanation:

All steps are attached in the pic below

Answer:

18 cups of sugar

Step-by-step explanation:

I don't see any answer choices in your post but assuming it she has to use 3 cups of sugar for every 2 cups of flour, then that would mean she has to use 3/2 cups of sugar for every 1 cup of flour.

So if she uses 12 cups of flour she will have to use (3/2) x 12 = 18 cups of sugar

Answer:

Step-by-step explanation:

Median of a dataset is the value at the centre of the dataset after rearrangement.

Given the data {8,x , 4,1}, the median of the set will be two values(x and 4). Since we have two values as the median, we will take their average.

Median of the first data set = x+4/2 ...(1)

For the second dataset  {9,y , 5,2}, the median will be y+5/2

Since we are told that the medians of both datasets are equal, we will equate the value of the medians of both datasets as given below;

x+4/2 = y+5/2

cross multiplying;

2(x+4) = 2(y+5)

Dividing both sides by 2 will give;

x+4 = y+5

From the resulting equation;

y-x = 4-5

y-x = -1

(y-x)² = (-1)² = 1

Answer:

\(-13\frac{1}{6}\)

Step-by-step explanation:

\(-7\frac{2}{3} +(-5\frac{1}{2})\)

\(-7\frac{2}{3} -5\frac{1}{2}\)

\(-\frac{23}{3} -\frac{11}{2}\)

Prime factorization of the numbers:

3 = 3 × 1

2 = 2 × 1

LCM of (3, 2) = 6

2 × 3

= 6

\(-\frac{79}{6}\)

\(-13\frac{1}{6}\)

we can say that the pattern for how the numerator and denominator change in the fractions model is that they are multiplied or divided by the same non-zero integer.

Let's consider the fraction 2/ 3.

If we multiply both the numerator & the denominator by 2, we get 4 /6.

Also  multiplying both by 3, we will  get 6 /9

In general,  if we multiply the numerator and the denominator by the same non-zero integer, we get an equivalent fraction.

On the other hand, if we divide both the numerator and   the denominator by the same non-zero integer,

we also get an equivalent fraction. For example    if we divide 6/9 by 3, we get 2/3 again.

Hence , the above conclusion is correct.

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Full Question:

Fraction 2/ 3.

What pattern can you use to describe how the numerator and denominator change in the fraction models above?

Answer:

Step-by-step explanation:

1. 7x8= 56 square feet

2. 56x$3.68= $206.08