Find the perimeter of the parallelogram with these vertices.
(3, 6), (-5, 6), (6, -1), (-2, -1)

Answers

Answer 1

The perimeter of the parallelogram with the given vertices is 33.

What is perimeter?

The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges.

Given that:

A = (3, 6)

B = (-5, 6)

C= (6 , -1)

D = (-2, -1)

The length of side is given by the formula:

[tex]L = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Substitute the values in the formula to find the sides of the parallelogram.

[tex]AB= \sqrt{(-5 -3)^2 + (6-6)^2} = 8\\ \\BC = \sqrt{(6+5)^2 + (-1 - 6)^2} = 13\\\\CD= \sqrt{(-2+6)^2 + (-1 +1)^2} = 4\\\\\DA= \sqrt{(3+2)^2 + (6+1)^2} = 8[/tex]

The perimeter is obtained by adding all the sides of the given two-dimensional shape.

P = 8+13+4+8

P = 33

Hence the perimeter of the parallelogram is 33.

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Related Questions

PLEASE HELP I WILL GAVE A BRAINLY Will you guys show me how to make a graph that shows the relationship between height and years. All the other info is filled out so please use that. Thank you for helping!!!

Answers

Answer:

Conclusion: Straight line upwards from point (0,3) to (3, 5.25)

Step-by-step explanation:

Your part (a) answer is absolutely correct.

Equation is y = 3/4x + 3

For part (b), you are correct to say that the y-intercept of the graph is 3. The implication is that the initial height of the tree is 3 feet tall. (When the tree just starts to grow at time = 0 years)

Your part (c) answer is absolutely correct as well.

For the graph part,

x = years (independent variable)

y = height (dependent variable)

From the equation you have constructed in part (a), the y-intercept of the graph is 3. Hence, a point (0, 3) can be first plotted in the graph.

Secondly, for part (c), you have also obtained the answer (3, 5.25). Plot that point on the graph as well.

Next, we can see that the graph in (a) is a linear graph in the form y = mx + c, where m is the gradient and c is the y-intercept.

Hence, you can easily draw a straight line upwards from (0,3) to (3,5.25) . It is expected as the gradient of the graph is 3/4, which is a positive number.

2) You roll one die. What is the probability that you roll a 6?
A) 1/2
B) 1/4
C) 1/6
D) 2/6

Answers

there are 6 sides to a dice
there’s only one 6 on the dice
therefore, the answer is 1/6

Answer: c 1/6

Step-by-step explanation

Becouse it has six numbers so that means that 1 is a factor so taking in every other number the answer should be 1/6

5^3 x 7^5+9^8+0+0+0+0+0+0+(9^7x5^6)

Answers

Answer:

74,779,038,221

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

[tex]5^3*7^5+9^8+0+0+0+0+0+0+9^7*5^6[/tex]

We can eliminate all the zeroes.

[tex]5^3*7^5+9^8+9^7*5^6[/tex]

Evaluate each term.

Raise 5 to the power of 3.

[tex]125*7^5+9^8+9^7*5^6[/tex]

Raise 7 to the power of 5.

[tex]125*16807+9^8+9^7*5^6[/tex]

Raise 9 to the power of 8.

[tex]125*16807+43046721+9^7*5^6[/tex]

Raise 9 to the power of 7.

[tex]125*16807+43046721+4782969*5^6[/tex]

Raise 5 to the power of 6.

[tex]125*16807+43046721+4782969*15625[/tex]

Multiply 125 by 16807.

[tex]2100875+43046721+4782969*15625[/tex]

Multiply 4782969 by 15625.

[tex]2100875+43046721+74733890625[/tex]

Add 2100875 and 43046721.

[tex]45147596+74733890625[/tex]

Add 45147596 and 74733890625.

[tex]74779038221[/tex]

A calculator would help but here you go.

I need help with these questions can someone help please

Answers

Answer:you just have to find the slope

Step-by-step explanation:

so all you have to do is start by doing y=Mx+b. You start by placing down you b point on the y axis and then Do your Mx it should look something like this

when processing an invoice what account is credited
a. accounts receivable
b. cash
c. accounts payable
d. the answer depends on the transaction

Answers

Answer:

accounts payable

Step-by-step explanation:

Because amount of money you owe

Dylan invested some money in his bank.
He agreed a simple interest rate of 3% per annum fo a period of 2 years.
At the end of the 2-year period the value of his investment increased by £72

Work out the value of Dylan's initial investment

Answers

The amount invested by Dylan will be £1200.

What is simple interest?

Simple interest is the amount of borrowing-related interest that is calculated using only the original principal and a constant interest rate.

Given that Dylan invested some money in his bank. He agreed on a simple interest rate of 3% per annum for a period of 2 years. At the end of the 2-year period, the value of his investment increased by £72.

The amount of money invested will be calculated as,

SI = ( P x R x T ) / 100

72 = ( P x 3 x 2 ) / 100

7200 = 6P

P = 7200 / 6

P = £1200

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2789\36 help me psss i have to take this test lie be so fl i like right nowww pls haelp me

Answers

Answer:

77.472222 etc

Step-by-step explanation:

How do you graph exponential functions and logarithms?

Answers

Graphing exponential functions and logarithms involves understanding the key characteristics of these functions and how they are represented on a graph.

Asymptotes: The graph of an exponential function does not have any asymptotes.

Domain and range: The domain and range of an exponential function are all real numbers.

Increasing or decreasing: An exponential function is always increasing.

Shape: The graph of an exponential function is concave up.

y-intercept: The y-intercept is (0,1)

x-intercept: The x-intercept does not exist.

To graph an exponential function, you can start by plotting the y-intercept (0,1) on the graph. Then, you can use the information about the shape of the graph (concave up) and the increasing nature of the function to determine the general shape of the graph.

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What is the shape with 3 sides and 3 right angles?

Answers

There is no shape with exact 3 sides and 3 right angles.

The shape with three sides is a triangle. A triangle is a polygon with three edges and three vertices. It is a basic shape in geometry and can be classified into several types based on the length of its sides and the measure of its angles. Triangles can be classified as acute, right, or obtuse, depending on the measure of their angles.

A right triangle is a triangle with one right angle (90 degrees ). But there can not be a triangle with 2 or more right angle.

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how would you read absolute value -5

Answers

Answer:

-5 = |5|

Step-by-step explanation:

Absolute value is the number of distance from zero. Therefore, it doesn't matter if the number is positive or negative in absolute value it is always positive.

LCM of 2, 6 and 11 must show work

Answers

The Least Common Multiple (LCM) of 2, 6, and 11 is 66.

What is the LCM of 6 and 11?

We shall divide the numbers (6, 11) by their prime factors in order to determine the LCM of 6 and 11 using the division method (preferably common). The LCM of 6 and 11 is determined by the product of these divisors.

Step 1:Find the smallest prime number that at least one of the numbers, 6, or 11, can be factored into. As indicated by the ladder arrangement, place this prime number (2) to the left of the supplied numbers (6 and 11).

Step 2: Divide any of the supplied integers (6, 11) by 2 and write the quotient below it if it is a multiple of 2. Any number that is not divisible by the prime number should be brought down.

Step 3: Continue the procedure until there are only 1s left in the

The LCM of 6 and 11 is the product of all prime numbers on the left, i.e. LCM(6, 11) by division method = 2 × 3 × 11 = 66

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Find the measure of angle A.
110°
O 80°
O 105°
O 30°
O100°
14 + 6x
A
3x-3

Answers

Answer:

[tex]80^{\circ}[/tex]

Step-by-step explanation:

The interior angles of the triangle are [tex]70^{\circ}, (14+6x)^{\circ}[/tex], and [tex](3x-3)^{\circ}[/tex].

Angles in a triangle add to [tex]180^{\circ}[/tex].

[tex]70+14+6x+3x-3=180 \\ \\ 81+9x=180 \\ \\ 9x=99 \\ \\ x=11[/tex]

So, [tex]m\angle A=14+6(11)=80^{\circ}[/tex].

What is the coefficient of y2 in 9xy2z?

Answers

The coefficient of y2 in 9xy2z is 9xy.

In mathematics, a coefficient is any integer or symbol that multiplies the variable of a single term or the terms of a polynomial to represent a constant value. It is typically a number, however, in other expressions, a letter might be used instead. In the formula: ax2 + bx + c, for instance, x is the variable and a and b are the coefficients.

A coefficient is what?

A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it. It is assumed that the variables with no associated number have a coefficient of 1.

coefficient of y 2  in 9x(y 2 )z is 9xy.

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Write an expression to represent the area of the shaded region in simplest from

Answers

We know that the area of a square/rectangle is the multiplication of its length by its width. We also know that this specific area does not include the blank region, therefore we need to subtract it from the area of the shaded region!

We can come up with two expressions:

Shaded Area:

[tex](5x + 2)(3x - 1)\\= 15x^2-5x+6x-2\\=15x^2+x-2[/tex]

Blank area:

[tex](x)(x+7)\\x^2+7x[/tex]

Now all we have to do is subtract the blank area's expression from the shaded area's and simplify since the question asks for the simplest form.

[tex](15x^2+x-2)-(x^2+7x)\\15x^2-x^2+x-7x-2\\14x^2-6x-2[/tex]

Therefore, your final answer should be:

14x^2 - 6x - 2

[need some help! will give brainlist!]

Write the terms in standard form. Then state the degree of the polynomial and the leading coefficient (LC).

Answers

It can be written in standard form as [tex]5x^2-2+3[/tex] and the degree of polynomial is 2 with leading coefficient as 2.5.

How do you format a standard form of writing?

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is fairly simple (x and y). When attempting to solve systems of two linear equations, this form is also very helpful.

What are some terms examples?

The values on which mathematical operations take place in an algebraic expression are known as terms in mathematics. Let's explain with the help of a term example. This algebraic expression has terms 8x and 9, respectively.

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A painting, square in shape, is placed in a wooden frame with width of 10% of the length of the side of the paining. The painting was enlarged by 10%. By what percent is the new frame bigger than the original frame if the width of the frame remains the same?
PLEASE HELP

Answers

The percent that the new frame is bigger than the original frame if the width of the frame remains the same is 9.1%.

How to illustrate the percentage?

From the information, the painting, square in shape, is placed in a wooden frame with width of 10% of the length of the side of the paining. The painting was enlarged by 10%.

Let the length be Illustrated as 10cm.

Width = 10% × 10cm

= 1cm

New Length = 10cm + (10% × 10cm)

= 11cm

The old perimeter will be:

= 2(1 + 10)

= 22cm

New perimeter will be:

= 2(1 + 11)

= 24cm

The percentage increase will be:

= (24 - 22) / 22 × 100

= 2/22 × 100

= 9.1%

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Aisha has 50 chocolates she fills 3 boxes and has 2 left over How many chocolates does she have left? Write it as an equation

Answers

Aisha has 2 chocolates left. You can represent the problem as an equation as follows:

x = 3b + 2

Where x is the total number of chocolates, b is the number of boxes filled and 2 is the remaining chocolates left.

Since we know that Aisha has 50 chocolates, we can substitute this value for x in the equation:

50 = 3b + 2

Solving for b, we find that b = 16. So, Aisha filled 16 boxes and had 2 chocolates left over. The equation is true, and Aisha has 2 chocolates left.

It's worth noting that this is a simple algebraic equation, we can use the same equation to find the number of chocolates given the number of boxes and remaining chocolates, or to find the number of boxes given the number of chocolates and remaining chocolates or to find the remaining chocolates given the number of boxes and the number of chocolates.

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What is the 3 example of quadratic equation?

Answers

The three examples of quadratic equations are x(x - 2) = 4, x(2x + 3) = 12 and 3x(x + 8) = -2

The term quadratic equation also known as quadratic expression referred as an equation containing one term in which the unknown is squared and no term in which it is raised to a power higher than 2.

Here the examples of quadratic equations in other forms is written as follows:

=> x(x - 2) = 4

Here we have to multiply and then moving the 4, then we get the quadratic expression as,

=> x² - 2x - 4 = 0

Another example like the following,

=> x(2x + 3) = 12

Here we have to multiplying and moving the 12, then we get the resulting expression as,

=> 2x² - 3x - 12 = 0

Final example for quadratic expression is written as

=> 3x(x + 8) = -2

When we multiplying and moving the -2, then we get the simplified form as

=> 3x² + 24x + 2 = 0

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Find the flux of F across S,
F. N dS
where N is the upward unit normal vector to S.
F(x, y, z) = xi + yj + zk
S: z = 1 − x^2 − y^2, z ≥ 0

Answers

The flux of F across S will be [tex]\frac{3\Pi}{2}[/tex]

A vector of magnitude 1 that is at some point perpendicular to a two-dimensional curve is referred to as the unit normal vector. Normally, you search for a function that returns not just one vector but all potential unit normal vectors of a given curve.

A vector that is perpendicular to a surface at a certain location is known as the normal vector, also referred to as the "normal" to a surface. The inward-pointing normal (pointing toward the interior of the surface) and outward-pointing normal are often distinguished when normals are taken into consideration on closed surfaces.

[tex]$Z_x=-2 x: \quad Z_y=-2 y$[/tex]

[tex]$N=\langle 2 x, 2 y, 1\rangle \quad: f=\langle x, y, z\rangle$[/tex]

[tex]f. $N=2 x^2+2 y^2+z=2 x^2+2 y^2+1-x^2-y^2$[/tex]

=1+x^2+y^2

[tex]x^2+y^2=1\\ \Rightarrow \quad x=r \cos \theta\\ \Rightarrow \quad y=r \sin \theta \\ \Rightarrow x^2+y^2=r^2 \\ 0 < r < 1: \quad 0 < \theta < 2 \pi[/tex]

[tex]$R \cdot v=\int_0^{2 \pi} \int_0^1\left(1+r^2\right)(r) dr d \theta$[/tex]

[tex]$=2 \pi \int_0^1 r+r^3 d r$[/tex]

[tex]$2 \pi\left[\frac{r^2}{2}+\frac{r^4}{4}\right]_0^1$[/tex]

[tex]$=(2 \pi)\left(\frac{1}{2}+\frac{1}{4}\right)$[/tex]

[tex]$=\frac{(2 \pi)(3)}{42}=\frac{3 \pi}{2}$[/tex]

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What is the value of S unit?

Answers

Triangle ABD is a right-angled triangle. The value of s which is the hypotenuse of the triangle ABD is 17 units.

What is triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane. Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The total of the triangle's three angles equals 180 degrees.

Here,

Given information:

From the given figure, the following information can be extracted:

Triangle ABD is a right-angled triangle.

Base AB is 8 units, Height BD is 15 units.

s is the hypotenuse of the triangle ABD.

Use the Pythagoras theorem to solve for the value of s or AD,

AD²=AB²+BD²

s²=8²+15²

s²=289

s=17 units

Therefore, the value of s which is the hypotenuse of the triangle ABD is 17 units.

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What type of triangle do the points 3 2 (- 2 3 and 2/3 form a right triangle B equilateral triangle C isosceles triangle d none of these?

Answers

Right angled triangle is formed by the points (3, 2), (-2, -3) and (2,3).

Let the given points be,

A = (3, 2), B = (-2, -3) and C = (2, 3)

The formula for the distance between two points:

The length of the line segment bridging two points on a plane is known as the distance between the points.

The formula to find the distance between the two points is usually given by [tex]D = $$\sqrt{\left(X_2-X_1\right)^2+\left(Y_2-Y_1\right)^2}$$[/tex].

Therefore,

A = [tex](x_{1} , y_{1} )[/tex] = (3, 2), B = [tex](x_{2} , y_{2} )[/tex] = (-2, -3)

[tex]& \mathrm{AB}=\sqrt{(3+2)^2+(2+3)^2}=\sqrt{50}=5 \sqrt{2}[/tex]  units

B = [tex](x_{1} , y_{1} )[/tex] = (-2, -3), C = [tex](x_{2} , y_{2} )[/tex] = (2, 3)

[tex]& \mathrm{BC}=\sqrt{(-2-2)^2+(-3-3)^2}=\sqrt{52}=2 \sqrt{13}[/tex]  units

A = [tex](x_{1} , y_{1} )[/tex] = (3, 2), C = [tex](x_{2} , y_{2} )[/tex] = (2, 3)

[tex]& \mathrm{AC}=\sqrt{(3-2)^2+(2-3)^2}=\sqrt{2}[/tex]  units

By using the Pythagorean theorem:

According to Pythagoras's Theorem in a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides.

Now, we can see that,

[tex]& (2 \sqrt{13})^2=(5 \sqrt{2})^2+(\sqrt{2})^2 \\[/tex]

[tex]& \mathrm{BC}^2=\mathrm{AB}^2+\mathrm{AC}^2[/tex]

Therefore, the given triangle is a right angled triangle.

Therefore, option(A) s correct.

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What type of triangle do the points (3, 2), (-2, -3) and (2,3) form a triangle? If so, name the type.

A. right triangle

B. equilateral triangle

C. isosceles triangle

D. none of these

1.) What is the length of x?
2.) What is the area of the right triangle inside of the parallelogram?

Answers

Answer:

The area of x is 4

The area of the right triangle is 6

Step-by-step explanation:

The Pythagorean Theorem can be used when dealing with right triangles. So, if we use the equation a^2 + b^2 = c^2, we can find that 3^2 + x^2 = 5^2 or 9 + x^2 = 25. If we calculate, we can find that x is equal to 4. Now if we multiply by 3 and divide by 2, we can get the answer of 6 as the area of the right triangle.

Which expression represents the length of the hypotenuse C of the triangle below

Answers

Answer:

[tex] \sqrt{a {}^{2} + b {}^{2} }[/tex]

An employee records the number of minutes it takes each team to complete the escape room
this week. The dot plot shows the data.
How many teams completed the escape room
this week?
teams

Escape Room
40 41 42 43 44
45 46
45 46 47
Time to Complete (min)
47 48 49 50

Answers

To begin, our game organizer will introduce participants to the escape game instructions and backstory. Teams will have 60 minutes to complete their chosen quest

What is escape room?

An escape room, also known as an escape game, puzzle room, exit game, or riddle room is a game in which a team of players discover clues, solve puzzles, and accomplish tasks in one or more rooms in order to accomplish a specific goal in a limited amount of time. The goal is often to escape from the site of the game.

Once you’re ready to start the game, your team will watch a mission video. This video explains the world your team is now a part of, what you’re trying to accomplish, and why you only have 60 minutes to do so!Some missions are about escaping the room, like in a prison break room. Other missions might not be centered around escaping, but instead, you might be completing a heist or launching a martian spaceship.Here’s an example of the type of mission video that plays at the beginning of a game. This one is from The Escape Game’s The Heist!

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Answer:21 teams

Step-by-step explanation:because if you cont the black dots and read the question that would be the answer

Julia take a bead from the bag at random
c) how that the probability that thi bead i purple

Answers

The probability that the bead taken from the bag is purple or red is total is 0.75 or 3/4.

The total number of beads in the bag is 12.

Out of these, 3 are purple and the rest are red (12-2-1-3 = 6). So, the probability of drawing a purple bead is 3/12 and the probability of drawing a red bead is 6/12.

To find the probability of drawing either a purple or red bead, we add the individual probabilities together: (3/12) + (6/12) = 0.25 + 0.5 = 0.75. This means that there is a 75% chance that the bead taken from the bag will be purple or red.

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The complete question is -

Write down the letter of the event that is likely. bag contains 12 beads_ 2 of the beads are blue: of the beads are green: 3 of the beads are purple: The rest of the beads are red: Julia takes a bead from the bag at random c) Show the probability that this bead is purple Or red is Totulmen.

What is the hardest math in high school?

Answers

Geometry, most people find geometry the hardest because it builds upon algebra 1 with shapes and angles

How do you find the missing angle of a triangle with all sides?

Answers

The missing angle of a triangle where only the measure of all sides are given can be calculated by using the Cosine Law .

What is Law Of Cosine ?

The law of cosine is also known as Cosine Rule. This law is useful in finding  the missing information of  any triangle.

For example, if you know the lengths of three sides of a triangle , this rule helps to find the angle between the two sides of the triangle.

Let a , b and c be the sides of the triangle and let A , B and C be the angle corresponding to the respective sides .

Then by the Cosine Law the angles are represented as : [tex]CosA = \frac{b^{2} +c^{2} -a^{2} }{2bc}[/tex] ;

[tex]CosB = \frac{c^{2} +a^{2} -b^{2} }{2ac}[/tex] ; [tex]CosC = \frac{a^{2} +b^{2} -c^{2} }{2ab}[/tex] .

Therefore , The Law Of Cosines is used to find the missing angle .

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Your colleague’s computer stops working, and no one from the IT department is available to fix it. You have basic knowledge of computer hardware. Which action should you take as an ethical employee?
A.
Initiate help by offering to check the computer.
B.
Start a conversation with your colleague and provide a distraction.
C.
Take a quick break and offer your computer for a short time.
D.
Ignore it because it is beyond your designated scope of work.

Answers

Since you have basic knowledge of computer hardware, an action which you should take as an ethical employee include the following: A. Initiate help by offering to check the computer.

What is a computer hardware?

A computer hardware can be defined as a physical component of a computer system or an information technology (IT) that can be seen, touched and replaced.

In Computer technology, there are various examples of a computer hardware and these include the following:

Power supply unit (PSU).Hard-disk driveKeyboardMonitor (screen)MouseMotherboardCentral processing unit (CPU).Network interface card (NIC).Memory module

Based on ethical principles, we can reasonably infer and logically conclude that an ethical employee should initiate help by offering to help check the colleague’s computer since he or she has basic knowledge of computer hardware.

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If you could buy 500 individual nerd candies for $5 or 186 g of individual nerd candies for $5, which would be the better deal

Answers

The better deal would be 500 individual nerds candy for $5.

One of the four basic mathematical operations, along with addition, subtraction, and multiplication, is division. The equal partition of bigger groupings into smaller parts is referred to as division.

The order of work assigned to and completed by the team of employees in order to optimize efficiency is known as the division of labor.

The splitting down of a job into multiple separate parts that make up the total is referred to as the division of labor. 500 individual nerds candy for $5 is preferable since you will have more candy and it will last longer.

Thus, The better deal would be 500 individual nerds' candy for $5 since you will have more candy and it will last longer.

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Translate each sentence into an equation!!!

1)Seven more than six times a number is 17.
2)Four less than five times a number is 11.
3)Six times the quantity, x-2, is 24.
4)Three less than six times a number is five more than twice the number.
5)Two more than the product of -3 and a number is 11.

Answers

Answers:

1.  6x + 7 = 17

2.  5x - 4 = 11

3.  6(x - 2) = 24

4.  6x - 3 = 2x + 5

5.  (-3x) + 2 = 11

Step-by-step explanation:

Since your only translating the sentence and not actually solving, we don't need to determine a specific number.  So in that case, whenever the question says "a number," use a variable such as x.  

1.  Seven more would mean +7, so your adding 7 to x.  X is multiplied by 6, so your answer is 6x + 7 = 17.  

2.  X is being multiplied by 5, and 4 less means -4 so you get 5x - 4 = 11

3.  X-2 is being multiplied by 6, so indicate that in parenthesis.  You should then get 6(x - 2) = 24

4.  This one is a little different, since it doesn't equal a direct number.  X is being multiplied by 6, and 3 is getting subtracted from it so the first part is 6x - 3 and it equals X multiplied by 2 plus 5.  Put it all together and you get 6x - 3 = 2x + 5

5.  The word product means multiplication so you know that -3 is being multiplied with X.  Again, indicate this in parenthesis.  You should get (-3x) + 2 = 11

I hope this helps you!  Have a good day/night!  :)

Answers:
1. 6x + 7 = 17
2. 5x -4=11
3. 6(x-2) = 24
4. 6x-3= 2x+ 5
5. (-3x) + 2 = 11
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