Solve the equation.
3(-2x+1)-2(x+13)=7x-4(1-x)

The image of the given point after the translation will be (-5,1).

The given point is (0,2).

We have to find out the image of the given point after a translation left 5 units and up to 1 units.

Since it is given that there is a translation left 5 units, starting from point (0,2), the image will be on the negative side of x-axis at point 3.

Similarly, it is given that there is also a translation up to 1 units. This implies starting from point (0,2), the image will be on the positive side of y-axis at point 1.

So, the image of the given point after the translation will be (-3,1).

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The required simplified solution of the given subtraction is 16/25. Option D is correct.

Given that,
To Subtract. and determine the lower terms,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= 47/50 - 3/10
= [47 - 3×5] / 50
= [47 - 15] /50
= 32 / 50
= 16 / 25

The required simplified solution of the given subtraction is 16/25. Option D is correct.

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Answer:

d) 16/25

Step-by-step explanation:

The problem is,

→ (47/50) - (3/10)

Let's solve the problem,

→ (47/50) - (3/10)

→ (47/50) - (15/50)

→ (47 - 15)/50

→ 32/50

→ (32 ÷ 2)/(50 ÷ 2)

→ 16/25

Hence, answer is 16/25.

If the average annual stock return is 11. 3%, the average holds a portfolio of $8600 worth 30 years.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that, the average annual stock return is 11. 3% and you begin your investment portfolio with $2,000,

Suppose the amount he earns in one year is x,

x=  11. 3%. of $2,000

x=220

The portfolio be worth 30 years if the average holds are,

=220 × 30

=$ 6600

The net cost is the sum of the return and the initial investment,

=$ 6600 + $ 2000

=$8600

Thus, if the average annual stock return is 11. 3%, the average holds a portfolio of $8600 worth 30 years.

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Answer: y = -4/5x - 5

Step-by-step explanation:

So you can view that fancy F with the parenthesis number inside of it as an input, just like X, and when -1 is the output, that means that y=-1, so your first set of numbers is (5,-1) now do the same with the second pair and you get (0,-5), we know that this is the Y intercept because X=0 in this pair.

-5 - (-1) = -4

0-5 = -5

slope = - 4/5

y intercept = -5

The value of the fraction 2 2/3 + 2 1/4 is 4 11/12.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, the addition of the fraction will be:

= 2 2/3 + 2 1/4

= 2 8/12 + 2 3/12

= 4 11/12

The value is 4 11/12.

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The equation of the graph is a straight line written in slope-intercept form as y = -33.3x + 450. When Misty travelled for 9 hours, he drove 150.3 miles.

The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept. It is the most common form of the equation of a straight line that is used in geometry. The equation of a straight line can be written in different forms such as point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a two-dimensional geometrical entity that extends on both its ends till infinity.

The equation of a straight line is a mathematical equation that gives the relation between the coordinate points lying on that straight line. It can be written in different forms and tells the slope, x-intercept, and y-intercept of the line. The most commonly used forms of the equation of straight line are y = mx + c and ax + by = c. Some other forms are point-slope form, slope-intercept form, general form, standard form, etc. Let us go through the formula for the equation of a straight line

13: The equation of graph in slope-intercept form

But for this case, we will represent our equation using point-slope formula which is y = mx + c

Let's find the slope of the line.

To do this, we will pick any two points and solve for the slope.

A = (0, 450), B = (6, 250)

The equation of slope of a line is given as

m = y₂ - y₁ / x₂ - x₁

m = 250 - 450 / 6 - 0

m = -200/6

m = -33.3

The y-intercept is the point which the line touches the y-axis or y-plane and in this case, the y-intercept is 450.

The equation of the line is y = -33.3x + 450

14: If he has been travelling for 9 hours, how many miles left ?

Using the equation y = -33.3x + 450; put x = 9

y = -33.3(9) + 450

y = 150.3 miles

Misty has 150.3 miles left.

15: If there are 50 miles in the trip left, how many hours has Misty travelled.

Using the equation y = -33.3x + 450

50 = -33.3x + 450

-400 = -33.3x

x = 12 hours

Misty has approximately travelled 12 hours.

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Answer:

There is no solution because after solving the absolute value, the number will be multiplied by -4 which would be getting positive 9 impossible.

The amount Heidi earned in commission is $30 and the amount store made from her sale is $720.

We will solve the given problem using percentages.

We are given the following;

A salesperson at a jewelry store eams 4% commission each week.

Last week, Heidi sold $750 worth of jewelry.

We need to find the amount Heidi earned in commission and the amount store made from her sale.

Let us find the amount Heidi earned in commission;

$750 * 4% = 750 * 4 / 100 = 7.5 * 4 = 30

So, Heidi earned $30 from the commission.

Let us find the amount store made from her sale;

The amount store earns

= The total amount of sales - commission of Heidi

= $750 - $30

= $720

So, the store earns $720.

Thus, the amount Heidi earned in commission is $30 and the amount store made from her sale is $720.

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Answer:

360

Step-by-step explanation:

it has four right angles 90×4 =360

Out of all the given situations, all are fair gambles,

Any gamble is considered to be a fair gamble if the expectation of it is 0. Here, gamble means any situation which has a probabilistic uncertainty attached to it.

The expectation of any game is

E(X) = ∑xp(x)

In the first case

The probability to get a had or tails on flipping a coin is 1/2

Hence the expectation will be

E(X) = 0.5 X 10  +  0.5 X (-10)

= 5 - 5

= 0

Hence this is a fair gamble

In the next gamble, two coins are tosses

The probability to get 2 head is 1/4

The probability to get 2 tails is 1/4

The probability to get one head and one tail is 1/2

Hence,

E(X) = 0.25 X 10  +  0.25 X (-10)  +  0.5 X 0

= 2.5 - 2.5

= 0

Hence this too is a fair gamble

Here,it is given that

Probability              Gain

0.5                            $100

0.25                       - $200

0.25                           $0

Therefore,

E(X) = 0.5 X 100  +  0.25 X (-200)  +  0.25 X 0

= 50  - 50

= 0

Hence, all are fair gambles.

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Correct Question

which of the following is a fair gamble?

one coin toss: win $10 if heads, lose $10 if tails.

two coin tosses: win $10 if two heads, lose $10 if two tails, and no change of wealth otherwise.

a game in which you win $100 with a probability of 50%, lose $200 with a probability of 25%, and gain nothing with a probability of 25%.

all of the above are fair gambles.

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Answer:

  7.5 in²

Step-by-step explanation:

You want the area of a triangle shown as having a base of 6 inches and a height of 2.5 inches.

The formula for the area of a triangle is ...

  A = 1/2bh

where b is the base length, and h is the height.

The figure shows the base of the triangle as 6 in, and the height as 2.5 in. This means the area is ...

  A = 1/2(6 in)(2.5 in) = 7.5 in²

__

Additional comment

The attachments show the triangle to be overs-specified. If the side dimensions are correct, the area is actually about 7.48 square inches. If the base and height are correct, at least one side length is slightly off.

Answer: 125

Step-by-step explanation:

100% = 100

25% of 100 = 100/4 = 25

100 + 25% (25) = 125

The amount to be invested today in order to have $600 in 20 years is $189.66.

When an account pays interest that is compounded quarterly, it means that both the amount invested and the interest that has already been earned increases in value four times in a year.

In order to determine the amount to be invested today, determine the present value of $600.

The formula for calculating present value:

P = FV / [(1 + r)^nm]

Where:

P = 600 / [(1.0145)^80] = $189.66

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Answer: it is 200

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.3

10/13=1.3

Answer:

[tex]\boxed{\sf \boxed{\sf x=\cfrac{13}{10}}\:or\: \boxed{\sf x=1.3}}[/tex]

Step-by-step explanation:

[tex]\sf 10x= 13[/tex]

Divide both sides by 10:-

[tex]\sf \cfrac{10x}{10}=\cfrac{13}{10}[/tex]

Simplify:-

[tex]\sf x=\cfrac{13}{10}[/tex]

____________________

Hope this helps!

Have a great day!

The number of time it take  Katherine to drive from home back to college is: 3 hrs 21 min.

Going home:

Rate =  65.1 mph , distance  = x miles ; time = distance /rate = x/ 65.1 hrs

Going to college:

Rate = 70.7 mph ; distance  = x miles ; time = x/70.7 hrs

Equation:

x/70.7+ x/ 65.1=  11

70.7x + 65.1x = 7 × 65.1 × 70.7

Combine like terms

135.8x = 32,217.99

Divide both side by 135.8x

x = 32,217.99/ 135.8

x = 237.25 miles

Home back to college

=  237.25 /70.7

=3.35 hrs

= 3 hrs 21 min

Therefore it take Katherine 3 hrs 21 min.

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The percentage of airline passengers covered by this fee is 85.99%.

If the distribution is normal, use the Z-score formula. For a set of means and standard deviations, the measure's z-score X is given by z-score measures how many standard deviations a measure is from its mean. After finding the Z-score, look at the Z-score table to find the p-value associated with that Z-score. This p-value is the probability that the value of the measure is

less than X, the percentile of X Subtracting 1 from the p-value gives the probability that the value of the measure is greater from X means 46 pounds with a standard deviation of 3.7 pounds.

This is the p-value of Z for X = 50 minus 1 as a

ratio. So the p-value of is 0.8599or 0.8599× 100 = 85.99%

So, 85.99% of the airline passengers pay this fee.

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The distance around the bases in meters will be 27.432 meters.

How many meters are in 1 feet?

In one feet there are 0.3048 meters.

Given is a baseball field measures 90 feet between each base.

Distance between each base in feet = [d] = 90 feet

The distance between each base in meters will be -

D [meters] = 90 x 1 ft

D [meters] = 90 x 0.3048 meters

D [meters] = 27.432 meters

Therefore, the distance around the bases in meters will be 27.432 meters.

Answer:

y=12x-7

Step-by-step explanation:

Slope intercept is  y=mx+b

                            y = slope+y-int

always start with variable y =

slope = 12

y=12

slope needs x

y=12x

y-int = -7 so just plug it in as is

y=12x-7

The standard form of the equation y = -2/3 x - 1 is 2x + 3y = -3.

The standard form for linear equations in two variables is Ax + By = C. Where,

The equation is represented in slope intercept form. So, let' represent it in standard form.

Therefore,

y = - 2 / 3 x - 1

add 2 / 3 x to both sides of the equation

y = - 2 / 3 x - 1

y + 2 / 3 x  = - 2 / 3 x + 2 / 3 x - 1

y + 2 / 3 x  = - 1

Let's multiply all through by 3 to eliminate the fraction

y + 2 / 3 x  = - 1

3y + 3(2 / 3 x) = -3

Therefore, the standard form equation is 2x + 3y = -3

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Answer:

If m angle EFD = 75°, then m angle JAB = ??

C

B

A

1.

2.

The transformation rule used to transform Triangle PQR to P'Q'R' is; (x, y) → (⁵/₂x, ⁵/₂y)

We are told that the triangle P'Q'R' has been transformed from triangle PQR.

Now, the coordinates of triangle PQR are;

P(-1, 1)

Q(2, 0)

R(-1, -2)

The coordinates of the transformed triangle P'Q'R' are;

P(-5/2, 5/2)

Q(5, 0)

R(-5/2, -5)

Thus, this is clear that the transformation rule used is;

(x, y) → (⁵/₂x, ⁵/₂y)

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The Correct option is D .

System of linear equations,gives us the result that given system has unique solution such that 13x= 6 or x = 6/13 and y = -40/13 .

If a, b, and c are real numbers, the graph of the equation ax + by = c

is a straight line (unless both a and b are zero), so such an equation is called a linear equation in variables x and y. There are three possible types of solutions to a set of linear equations.

given system of equations is

2x - y = 4 --(1)

and 5x + 4y = -10 ---(2)

comparing the above equations with linear system , a1 x + b1 y = c1 and a2 x + b2y = c2

we get, a1 = 2 , a2= 5 , b1 = -1 , b2= 4 , c1= 4 ,

c2= -10

Now, the ratio are

a1/a2 = 2/5 ; b1/b2 = -1/4 ; c1/c2= -4/10 = 2/5

=> a1/a2 not equal to b1/ b2

therefore the given system of equations has unique solution.

Now , we find the soltion of given system using Elimination method,

multipling equation (1) by 4 to making same cofficient of y in both equations of system we get

8x - 4y = 16 --(3) and 5x +4y = -10

adding equation (2) from (3) we get,

8x -4y + 5x + 4y = 16 -10 => 13x = 6 => x = 6/13

putting this value of x in (1)

2×6/13 - y = 4 => y = 12/13-4 = -40/13

Hence , unique solution for given system of equations is x= 6/13 , y = -40/13.

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Complete Question:

Alfred tried to solve the system of equations shown below..

2x - y = 4 and 5x + 4y = -10

He concluded that the system has an infinite number of solutions. Which is the BEST evaluation of Alfred's conclusion?

He is correct. Both equations describe lines that have infinitely many solutions.

He is correct. If the first equation is multiplied by 4 and subtracted from the second equation, the result is -3x +8y = -14 , which means the system has an infinite number of solutions.

He is incorrect. For any positive value of , the corresponding value of is negative, which means the system has no solution.

He is incorrect. If the first equation is multiplied by 4 and added to the second equation, the result is 13x = 6 , which leads to exactly one solution.

Really hope this helps you!

Answer:

(-1,3)

Step-by-step explanation:

x+4y=11

 -4y.  -4y

x=11-4y

3(11-4y)+5y=12

33-12y+5y=12

33-7y=12

-33.    -33

-7y=-21

/-7.  /-7

y=3

x+4(3)=11

x+12=11

-12.  -12

x=-1

Hopes this helps please mark brainliest

Answer:

x= −1 and y= 3

Step-by-step explanation:

Step One: Rewrite Equations

x+ 4y = 11

3x +5y = 12

Step Two: Solve x +4y = 11 for x:

x +4y = 11

x +4y + −4y = 11 + −4y (Add -4y to both sides)

x = −4y +11

Step Three: Substitute −4y +11 for x in 3x +5y = 12:

3x +5y = 12

3(−4y +11) +5y = 12

−7y +33 = 12 (Simplify both sides of the equation)

−7y +33 +−33 = 12 +−33(Add -33 to both sides)

−7y = −21

(-7y/-7) = (-21/-7) (Divide both sides by -7)

y = 3

I sincerely hope this helped you, good luck on your assignment!

The measure of the non-felex DOB in degrees is 140°.

It is important to note that the value of the angles at a point is 360°.

Therefore, it should be noted that also vertically opposite angles are equal.

Therefore, the angles will be:

3.5y + 3.5y + y + y = 360°

9y = 360°

Divide

y = 360° / 9

y = 40°

Therefore, DOB will be:

= 3.5y.

= 3.5 × 40

= 140°

DOB is 140°.

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Answer:

THE ANSWER IS x= 33/20

hope it help

with the steps:

1) Multiply all terms by the same value to eliminate fraction denominators

2) Cancel multiplied terms that are in the denominator

3) Multiply the numbers

1) 4x//3==11/5 then 15 ✖️ 4x/3= 15 ✖️ 11/5

2) 5 ✖️ 4= 3 ✖️ 11

3) 5 ✖️ 4x=3 ✖️ 11

          20x=3 ✖️ 11

solution : x= 33/20

Answer:

x = [tex]\frac{33}{20}[/tex]

Step-by-step explanation:

[tex]\frac{4x}{3}[/tex] = [tex]\frac{11}{5}[/tex]  cross multiply and solve

20x = 33 divide both sides by 20

x = [tex]\frac{33}{20}[/tex]

Answer:u dont

Step-by-step explanation: