Five times the sum of a number and six is equal to eight times the number, minus six. Find the number.

The value of w = 16. The number 24 has a place value of two due to the presence of two full sets of tens.

Let the be ST = RU = PQ

S T = w,  RU= -3w + 44,  and  PQ = -5w + 68

Then by simplifying the above equation we get,

(w) + (-3w + 44) + (-5w + 68) = 0

w - 3w + 44 - 5w + 68 = 0

Group like terms

w - 3w - 5w + 44 + 68 = 0

Add similar elements: w - 3w - 5w = -7w

-7w + 44 + 68 = 0

Add the numbers: 44 + 68 = 112

-7w + 112 = 0

Move 112 to the right side

-7w = -112

Divide both sides by -7

[tex]$\frac{-7 w}{-7}=\frac{-112}{-7}[/tex]

Then we get,

w = 16

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The value of w in the given trapezoid is 18.4.

The following characteristics apply to a trapezium:

Similar to other quadrilaterals, the trapezium's four angles add up to 360°.

Two of a trapezium's sides are parallel, whereas the other two aren't.

Regular trapezium diagonals are divided by one another.

In a trapezium, the mid-length segment's is equal to half the total length of the parallel bases.

A trapezium created by two parallel sides and one non-parallel side has two pairs of neighbouring angles that add up to 180 degrees.

We know that the length of the mid-segment is equal to half the sum of the parallel bases, in a trapezium.

Thus,

TS +PQ = 1/2 (UR)

w - 5w + 68 = 1/2 (-3w + 44)

2(-4w + 68) = -3w + 44

-8w + 136 = -3w + 44

136 - 44 = -3w + 8w

92 = 5w

w = 18.4

Hence, the value of w in the given trapezoid is 18.4.

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Answer:

Pink bananas? Weird, but cool.

Anyways, the answer would be 2/3.

This is correct because:

1/3 + 2/3 = 3/3 = 1 whole

Step-by-step explanation:

Hope it helps! =D

The equation's directrix of [tex]y^{2}-6y-2x+19=0[/tex]. is 4.5 since this parabola's directrix's equation is x + a = 0.

The statistic is said to be in a simplified sense when divided into its smallest equivalent fraction. What to do to determine the most basic form. Look for common factors in the denominators and numerators.  A statement having two equal sides and then an equal sign in the midpoint is called an equation in mathematics. The conceptual model of any formula contains the degrees of all the variables given descending order. The typical form of a linear equation is an x + b = 0. This same general form of a mathematical expression with two variables is an x + b y + c = 0. (or something similar). Inequalities can be categorized either identities or dependent equations. An id holds true regardless of the value given to the variables.

given

Knowing the axis and vertex of a parabola allows one to determine the directrix of the curve.

The equation of the directrix of this parabola is x + a = 0 for an equation of the parabola in standard form [tex]y^{2} = 4ax[/tex], with focus at (a, 0) axis as the x-axis.

equation = [tex]y^{2}-6y-2x+19[/tex]=0

directrix  x = h−p

(y−k)2 = 4p(x−h),p≠0

Directrix: x=4.5

The equation's directrix of [tex]y^{2}-6y-2x+19=0[/tex]. is 4.5 since this parabola's directrix's equation is x + a = 0.

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The complete question is:-

Find the directrix of this equation of y2-6y-2x+19=0

The amount of outdoor carpet that will be needed for the hole in square feet will be = 40ft²

To calculate the quantity of outdoor carpet needed is to subtract the square and the rectangular areas that were not covered from the whole rectangular area that was covered.

The area of the square = length×width = 3×2 = 6ft²

The area of the rectangule = length×width = 1×2 =2ft²

The area of the whole hole = l×w = 4× 12= 48ft²

Therefore, the area of the outdoor carpet that will be needed for the hole in square feet would be;

= 48 - ( 2+6)

= 48 - 8

= 40 ft²

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To find the mean of a given set of data, you divide the sum of all the values and divide it by the number of values.

[tex]9,-2,9,9,-2,-2,14[/tex]

[tex]9+-2+9+9+-2+-2+14\\=35[/tex]

There are a total of 7 values that are given. So, to find the mean, we simply must divide 35(the sum of all values) by 7(the number of values).

[tex]35\div7=5[/tex]

Therefore, the mean of our given set of data is 5.

Answer:

x ≤ 217

Step-by-step explanation:

The mean is found by adding each time and dividing by the amount of attempts.

If the mean has to be no greater than 200s and there are five attempts, than the total five attempts should total to no more than 200*5=1000s

The total sum of the first four attempts is 192+206+194+191=783

x must be equal to or less than 1000 - 783 = 217

Answer: MNO is  an isosceles triangle

Step-by-step explanation:

the right hand corner is 80 degrees and the left one is 45 degrees, you work this out by knowing a straight line is 180 degrees, 180-110 is 70. 55+70=125 and then 180-125 is 55.

not sure how to solve the second question so maybe repost it, hope i helped :D

The correct statement regarding the linear functions is given as follows:

No. Computer B has the greater slope.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

For Computer A, when x increases by 2, y increases by 176 - 32 = 144, hence the slope is given as follows:

m = 144/2

m = 72.

For Computer B, when x increases by 2, y increases by 370 - 198 = 172, hence the slope is given as follows:

m = 172/2

m = 86.

Which means that Computer B uses more megabytes for each additional program, as 86 > 72.

Computer A: A graph has programs on the x-axis and megabytes on the y-axis. A line goes through (0, 32) and (2, 176). Computer B: A 2-column table with 3 rows. Column 1 is labeled Programs: x with entries 2, 4, 6. Column 2 is labeled Megabytes: y with entries 198, 370, 542.

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The statement - A change in tempo is the only thing that can make a musical cliché more effective is

A musical cliché refers to a commonly used and overused musical idea. To make a musical cliché more effective, changes in both tempo and dynamics can be used.

Tempo refers to the speed of the music, while dynamics refer to the volume or loudness of the music. By changing both of these elements, a composer or performer can add variety, interest, and impact to a musical cliché and make it more effective.

However, this may not always be the case, as the effectiveness of a musical cliché also depends on the context and the artistic intention of the composer or performer.

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The equivalent fraction to 10/2 are 5/1, 20/4, 30/6, 40/8, 50/10 and so on.

10/2

The equivalent fraction can be determined by division method or multiplication method

Division method:

10/2

divide both numerator and denominator by 2

= 5/1

Multiplication method:

10/2

multiply numerator and denominator by 2

= 20/4

multiply numerator and denominator by 3

= 30/6

multiply numerator and denominator by 4

= 40/8

Therefore, equivalent fractions are fractions which have equal numerator and denominator in its simplest form.

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Answer:

Below

Step-by-step explanation:

17/16   is  just    17 ÷ 16    use calculator to fin = 1.0625

Answer:

1.06

Step-by-step explanation:

Step 1: divide numerator (1) by the denominator (16):

1 ÷ 16 = 0.0625

Step 2: add this value to the the integer part:

1 + 0.0625 = 1.0625. So,

1 1/16 = 1.0625

Answer:

You will have 4500 dollars in your account. The interest might be %30

Step-by-step explanation:

I just multiplied everything by 15 i don't know this I just want to

help

The profit of the unit is £410

Profit is the revenue remaining after all costs are paid. Profit is the difference between business income (revenue) and business expenses (costs

To get the unit profit;

unit profit = Price - production cost

From the question,

The unit production cost is 740 while the price is 1150

using the formula above,

Unit profit  = 1150 - 740

Unit profit = £410

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Answer:

Based on the angles of elevation and the distance between Susan and Mark, the bird is likely at a height of approximately 1.95 kilometers from the ground. This is based on calculations using the Pythagorean theorem and the law of cosines.

Step-by-step explanation:

The height of the riders above the Colorado River at the peak of the arc shown will be 3,064.73 feet.

The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.

The length of the variable 'y' is given as,

sin (212° - 180°) = y / 41

0.5299 = y / 41

y = 21.73 feet

The height of the riders above the Colorado River is given as,

⇒ 21.73 + 43 + 3,000

⇒ 3,064.73 feet

The height of the riders above the Colorado River at the peak of the arc shown will be 3,064.73 feet.

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The missing part is given below.

The required median of the given data set 11, 13, 24, 28, 30, and 47 is 24.

When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.

The median of a set of numbers is the middle value when the numbers are arranged in order.

First, we need to arrange the numbers in ascending order:

11, 13, 24, 28, 30, 47

For an even number of values, the median is given as
Median = n  / 2 th terms

Median = 6 / 2 = 3rd term

Median = 24

So, the median of 11, 13, 24, 28, 30, and 47 is 24.

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A graph of the solution to this system of inequalities on a coordinate plane is shown in the image attached below.

In order to to graph the solution to the given system of inequalities on a coordinate plane, we would use an online graphing calculator to plot the given system of inequalities and then take note of the point of intersection;

y ≥ x²

y ≤ x + 2

Based on the graph (see attachment), we can logically deduce that the solution to the given system of inequalities is the shaded region and the point of intersection of the lines on the graph representing each, which is given by the ordered pair (2, 4) and ordered pair (-1, 1).

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An expression to show the number of people who will receive the text message after the fifth round is, 4 x 4⁵

In algebra, in sequence we study various progressions, one of the progression is geometric, in this progression for every two consecutive terms, the common ratio is the same.

Formula for nth term of G.P.,

Tₙ = a×rⁿ

where a is first term and r is common ratio

Given that,

Amber sends a text message to 4 people

Those 4 people send the text message to 4 more people, and so on

An expression to show the number of people who will receive the text message after the fifth round = ?

This process will follow a geometric progression,

Which have common ratio  = 4

First term a = 4

Fifth term =  ?

Here, n = 5

Tₙ = a × rⁿ

   =  4 x 4⁵

   =   4096

Hence, the expression is 4 x 4⁵

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Answer:

With technology and digital communication, it's

becoming easier to communicate because people

do not have to do that initial face-to-face reaction

when they are behind a keyboard. This can be a

good or a bad thing depending on how one

chooses to communicate.

Answer:

[tex]\begin{array}{|l|c|c|c|}\cline{1-4}\vphantom{\dfrac12}&\text{Less than \$50,000}&\text{\$50,000 or more}&\text{Total}\\\cline{1-4}\vphantom{\dfrac12}\text{Lives get better}&262&240&502\\\cline{1-4}\vphantom{\dfrac12}\text{Lives don't get better}&161&88&249\\\cline{1-4}\vphantom{\dfrac12}\text{Total}&423&328&751\\\cline{1-4}\end{array}[/tex]

Step-by-step explanation:

From the given information, the two options of the "annual salary" category are:

From the given information, the two options of the "opinions" category are:

To create a two-way frequency table to visually represent the possible relationships between the two sets of categorical data:

[tex]\begin{array}{|l|c|c|c|}\cline{1-4}\vphantom{\dfrac12}&\text{Less than \$50,000}&\text{\$50,000 or more}&\text{Total}\\\cline{1-4}\vphantom{\dfrac12}\text{Lives get better}&&&\\\cline{1-4}\vphantom{\dfrac12}\text{Lives don't get better}&&&\\\cline{1-4}\vphantom{\dfrac12}\text{Total}&&&\\\cline{1-4}\end{array}[/tex]

Add the given information to the table:

[tex]\begin{array}{|l|c|c|c|}\cline{1-4}\vphantom{\dfrac12}&\text{Less than \$50,000}&\text{\$50,000 or more}&\text{Total}\\\cline{1-4}\vphantom{\dfrac12}\text{Lives get better}&262&240&\\\cline{1-4}\vphantom{\dfrac12}\text{Lives don't get better}&&&\\\cline{1-4}\vphantom{\dfrac12}\text{Total}&423&328&\\\cline{1-4}\end{array}[/tex]

From the table, we can see that of the 423 of people that earned less than $50,000 per year, 262 thought that people's live would get better.

To calculate the number of people that earned less than $50,000 per year that thought people's lives would not get better, subtract 262 from 423 and place this number in the cell in column 2, row 3.

Continue like this to fill out the rest of the table, remembering to calculate the column and row totals:

[tex]\begin{array}{|l|c|c|c|}\cline{1-4}\vphantom{\dfrac12}&\text{Less than \$50,000}&\text{\$50,000 or more}&\text{Total}\\\cline{1-4}\vphantom{\dfrac12}\text{Lives get better}&262&240&502\\\cline{1-4}\vphantom{\dfrac12}\text{Lives don't get better}&161&88&249\\\cline{1-4}\vphantom{\dfrac12}\text{Total}&423&328&751\\\cline{1-4}\end{array}[/tex]

The inequalities contain greater than, less than or equal, and greater than or equal. The inequalities are attached below.

What is a closed circle?

For numbers that are either less than or greater than (< or >), open circles are used. For numbers that are less than or equal to and greater than or equal to (≤ or ≥), closed circles are used.

A number line can be used to display inequality.

Given inequalities are

x > 3

x ≤5

x ≥-4

The inequity x > 3 contains a greater than symbol. Thus there will be an open circle at 3. x is greater than 3, so the arrow from the circle must show the numbers that are larger than 3.

The inequity x ≤5 contains a less than or equal symbol. Thus there will be a close circle at 5. x is less than or equal to 5, so the arrow from the circle must show the numbers that are less than 5.

The inequity x ≥-4  contains a greater than or equal symbol. Thus there will be a close circle at -4. x is greater than or equal to -4, so the arrow from the circle must show the numbers that are greater than -4.

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Answer and Explanation:

To calculate the total value of the loan with simple interest, we can use the formula:

Loan amount x (Interest rate x Time in years) = Simple interest

Where,

Loan amount = $50,000

Interest rate = 6.15%

Time in years = 3 years + 7 months / 12 months/year = 3.58 years

So,

Simple interest = $50,000 x (6.15% x 3.58) = $10,439

Therefore, the total value of the loan with simple interest would be $50,000 + $10,439 = $60,439.

Using technology,  the difference between the arithmetic average ROR and the weighted average ROR is 0.52%

The Arithmetic Mean will be called the Simple Arithmetic Mean when it is calculated as the quotient between the sum of all the different related values ​​and the number of observations involved in this sum.

Given An investment portfolio

Since arithmetic average ROR:

The average arithmetic average ROR is the sum of the rate of returns divided by the number of investments arithmetic average:

ROR = (2.1%+ 4.4%+ 7.8% + 0.5%)/4

arithmetic average ROR=6.20%

total amount invested=$3200+$1750+$1235+$2,300

total amount invested=$8,485

weighted average:

ROR = (3200/8485 * 2.1%+ 1750/8485 * 4.4%+ 1235/8485 *7.8% + 2300/8485 *0.5%)

weighted average:

ROR=5.68%

difference=6.20%-5.68%

difference=0.52%

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Answer: it’s 1.1%

Step-by-step explanation: just got it right on the test

The required trasformation is given as,
(A) Function f translated 4 units down.
(B) Function f translated 3 units left.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here.
Given function

f(x) = ∛[x + 1]

put x = -3 and y = y - 4
f(x) = ∛[x - 3 + 1]  - 4
f(x) = ∛[x - 2]  - 4

Thus, the required trasformation is given as,
(A) Function f translated 4 units down.
(B) Function f translated 2 units left.

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The end behavior of the graphed function is defined by:

To identify the end behavior, we need to look how the function behaves as the independent variable tends to ±∞.

Here we can see that in both ends, the function tends asymptotically to y = 1, then the end behavior is:

as x → ∞, f(x) → 1

as x → -∞, f(x) → 1

And we also can see that when x = 1 the function tends to infinity, then:

as x → 1, f(x) → ∞

These are the 3 correct options.

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In the above angle measurement problem,

35) If m∠7=100°, then m∠3 = 100° (Alternative Angles)

36) If m∠7=175°, then m∠6= 5° (Co-interior Angles)

37) If m∠7 = 120°, then m∠5 = 120° (Corresponding Angles)

38) If m∠4=20°, then m∠7 = 160° (Angles on a straight line and Corresponding Angles)

39) If m∠3=140°, then m∠8 = 40° (m∠3 = m∠1 Corresponding angles; ∠1+ ∠8 = 180° - Angles on a straight line)

40) If m∠4= 30°, then m∠1 = 150° (Corresponding Angles)

41) If m∠4 = 40°, then m∠2 = 40° (Corresponding Angles)

42) Ifm∠7=125°, then m∠4= 55°  (∠4=∠2; Corresponding angles: 180° - ∠7 = 55° - Angles on a Straight Line)

When two parallel lines meet any other line, comparable angles are generated in matching corners or corresponding corners with the transversal.

Congruence and likeness tests in geometry require comparing matching sides and angles of polygons.  Each side and angle in one polygon is matched with a side or angle in the second polygon, with the order of adjacency preserved.

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La expresión se puede simplificar para obtener:

7a - 9b + 6a - 4b = 13a - 13b

Queremos simplificar la siguiente expresión:

7a - 9b + 6a - 4b

Primero, podemos reordenar los terminos así obtenemos:

7a - 9b + 6a - 4b = 7a + 6a - 9b - 4b

Ahora podemos usar a y b como factores comunes, entonces obtendremos:

7a + 6a - 9b - 4b = (7 + 6)a + (-9 - 4)b

                            = 13a - 13b

Esa es la opcion correcta.

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Answer:

secΘ = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

using the identity

• secΘ = [tex]\frac{1}{coa0}[/tex] = [tex]\frac{1}{\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex]

The area of each brownie is 35 cm².

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, the length of each brownie is 7 cm and the width is 5 cm.

Here, the area is Length×Width

= 7×5

= 35 cm²

Therefore, the area of each brownie is 35 cm².

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As per the given statement, the inequality will be equal to y<2/3x+2.

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

here, we have,

As per the data provided in the question,

The statement is,

y is less than 2/3 times of x, that is = y<(2/3)x and,

then it is plus two is added to the equation,

y<(2/3)x+2

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