If 6x/7 = 10y/9 then what dose x/y =

Answer:

6 [tex]\frac{21}{50}[/tex]

24 seconds faster time of your personal best after 200 yards.

What in mathematics is a linear equation?

Suppose the number of laps = m

According to the question, each lap of 25 yards is covered 3 seconds faster than the previous one, so the series become

x , x-3 , x-6 , x-9, ............................

25 * m = 200

m = 200/25

m = 8

As m is the number of laps, and each lap is 3 second faster.

So 8 laps will be 8*3 = 24 seconds faster.

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The questions are matched with the graphs that are labeled A-H. (

The graph has some rules for matching them to the equation some of the rules are:

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Answer:

The answer to your first question would be B. The answer to the second is C.

Step-by-step explanation:

Hope it helps! =D

Answer:

I believe its graph 4 (not sure though, you can plug in some values to make sure)

Step-by-step explanation:

The set of transformations that is performed on triangle ABC to form triangle A′B′C′ is C. A translation 5 units to the left followed by a 180 degree counterclockwise rotation about the origin.

A translation is a geometric transformation when each point in a figure, shape, or space is moved in a specific direction by the same amount. A translation can also be thought of as moving the coordinate system's origin or as adding a constant vector to each point.

In this case, it can be seen that the shape was rotated counterclockwise twice. That's 90° × 2 = 180°

Therefore, the transformation that is performed on triangle ABC to form triangle A′B′C′ is a translation 5 units to the left followed by a 180 degree counterclockwise rotation about the origin.

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Answer:

A) 5n − 11

B) 11 − (n + 5)

C) 11 − 5n

D) 5(n − 11)

Your Welcome ;)

The required verbal algebraic expressions are given as ,
(a)  5x - 11    (b) (x + 5) - 11

(c)  5x - 11     (d) (x - 11)×5

The algebraic expression consists of constants and variables. eg x, y, z etc.

Here,
Let the number x,

a. The product of five and a number, decreased by eleven

⇒ 5x - 11

b. The sum of a number and five less than eleven

⇒ (x + 5) - 11

c. Five times a number fewer than eleven

⇒5x - 11

d. The quantity of a number minus eleven, multiplied by five

⇒(x - 11)×5

Thus, the required expression is shown above

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Answer:

70% i think

Step-by-step explanation:

Heidi is able to walk 10/3 miles in 1 hour (60 min).

It is a method for determining the value of a single unit by subtracting the value of multiple units and subtracting the value of multiple units from of the value of a single unit.

Now, for the given question;

It takes Heidi 12 minutes to walk 2/3 miles.

Applying the unitary method.

Then, for in 1 minutes Heidi will walk = 2/(3×12).

For walking in 1 hour or 60 min =  (2×60)/(3×12).

Further simplifying;

In 1 hour = 10/3 miles.

Therefore, Heidi would be be able to walk 10/3 miles in 1 hour.

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By rationalization and algebra properties, the irrational expression 7√3 / (√10 + √3) - 2√5 / (√6 + √5) - 3√2 / (√15 + 3√2) is equivalent to the integer 1.

In this question we find a composite irrational expression formed by a irrational fraction being subtracted by other two irrational fraction. Eliminating the irrational denominators by transforming it into rational numbers is an important step for this question, this can be done by means of rationalization, along with algebra properties.

The complete procedure of this exercise is shown below:

7√3 / (√10 + √3) - 2√5 / (√6 + √5) - 3√2 / (√15 + 3√2)

[7√3 · (√10 - √3)] / [(√10 + √3) · (√10 - √3)] - [2√5 · (√6 - √5)] / [(√6 + √5) · (√6 - √5)] - [3√2 · (√15 - 3√2)] / [(√15 + 3√2) · (√15 - 3√2)]

(7√30 - 21) / 7 - (2√30 - 10) - (3√30 - 18) / (- 3)

(7√30 - 21) / 7 + (10 - 2√30) + (3√30 - 18) / 3

(7√30 - 21 + 70 - 14√30) / 7 + (3√30 - 18) / 3

(49 - 7√30) / 7 + (3√30 - 18) / 3

(147 - 21√30 + 21√30 - 126) / 21

21 / 21

1

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Laura runs for 0.02 kiloseconds

The race is 0.1 kilometers

The first step is to convert 20 seconds to kiloseconds

= 20/1000

= 0.02 kiloseconds

The next step is to calculate the distance in kilometers

Convert 100 meters to kilometer

= 100/1000

= 0.1 km

Hence the race is 0.1 kilometers

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Linear equations are often organized in slope-intercept form: [tex]y=mx+b[/tex]

To find a linear equation, we often first solve for the slope, and then solve for the y-intercept algebraically.

To find the slope of a perpendicular line, we must find the negative reciprocal of the slope of the reference line.

We're given:

1) Find the slope of the reference line

We can rewrite the reference line to be clearer in slope-intercept form:

[tex]y=-1x+0[/tex]

This means that -1 is the slope.

2) Find the slope of the perpendicular line

The negative reciprocal of -1 is 1. Therefore, the slope of the perpendicular line is 1. Plug this into slope-intercept form:

[tex]y=x+b[/tex]

3) Solve for the y-intercept of the perpendicular line

[tex]y=x+b[/tex]

Plug in the given point (-8,2) and solve for b:

[tex]2=-8+b\\b=2+8\\b=10[/tex]

Therefore, the y-intercept of the perpendicular line is 10. Plug this back into our original equation:

[tex]y=x+10[/tex]

[tex]y=x+10[/tex]

The cost of shipping the marble block is 550.

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Answer: well look you can fid live tutors

Step-by-step explanation:

n vcxvbnm

Answer:

Step-by-step explanation: The given question is wrong. To be a valid question, there must be "-9" in place of "-7" in the second given matrix.

So, Part A:

By employing the sines law,

So,

Now, Part B:

Area of the mainsail:

Therefore, the answers to both parts are:

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The complete question is given below:

A sailmaker is designing a mainsail for a newly constructed sailboat. The mainsail foot is 13 feet long, the luff is 10 feet long, and the luff makes a 50° angle at the head with the leach.

Part A: Determine the length of the leach.

Part B: Find the area of the mainsail.

PLS HELP :) 50 POINTS!!!

Answer:

yes

Step-by-step explanation:

√225 + √196

15 + 14

29

29 can be written as 29/1 thus 29 is a rational number

The length of each side of the given tilted square is √41 units.

The formula to find the area of a square is;

Area = x²

Where x is the side length of the square.

Thus;

x = √41

Now, since all sides of a square are always equal, we can easily say that the length of each side of the given tilted square is √41 units.

Thus, our conclusion is that the length of each side of the given tilted square is √41 units.

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The additional information required to prove the SSS Triangle Congruence Postulate is UT = T F

The congruence postulate is given as:

SSS Triangle Congruence Postulate

The above means that the three sides of the triangles are congruent.

From the figure, the following side lengths are said to be congruent

UV and FV

TV and TV

For the congruence postulate of the triangle to be SSS Triangle Congruence Postulate, then the third corresponding sides must be congruent

This is represented as:

UT = T F

Hence, the additional information required to prove the SSS Triangle Congruence Postulate is UT = T F

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Answer:

[tex]3 \sqrt{5} [/tex]

Step-by-step explanation:

See attached for details. Basically finding the distance between 2 points requires creating a right angle triangle. And we are looking for the hypotenuse.

The pythagorean theorem is used.

Answer:

x= -6

Step-by-step explanation:

[tex]x-3(\frac{2}{3}x+3)=3(\frac{-3}{2}+1)-\frac{3}{2}\\\\x-2x-9=\frac{-9}{2}+3-\frac{3}{2}\\\\clear fraction\\\\2x-4x-18=-9+6-3\\\\-2x-18=-6\\\\-2x=12\\\\x=-6[/tex]

Area = 5/12 m².

For image see the attachment below-

Area of Triangle - A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon. The above figure is a triangle denoted as △ABC. Some real-life examples of triangles include sandwiches, traffic signs, cloth hangers, and a rack in billiards.

The basic formula to find the area of a triangle is,

Area of triangle = 1/2 (b × h);

where b = base and

          h = height of the triangle.

Now , we have been given that -

Base  =5/3 m

Height  = 1/2 m

Find out area of the triangle .

The area of a  triangle = 1/2 x base  x height

Put the values in formula

area of a  triangle = 1/2 x 5/3 x 1/2

area of a  triangle = (1x5x1)/ (2x3x2)

area of a  triangle = 5/12 m².

Hence,  the area in square meters of the given shape is 5/12 .

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Step-by-step explanation:

0.7 birdhouses in 1 day.

how many in 10 weeks ?

for that we need to know how many days are in 10 weeks.

1 week = 7 days

assuming that she is working on the birdhouses also on weekends, that means 10 weeks = 10×7 = 70 days.

and that means she can build

0.7 × 70 = 49 birdhouses in 10 weeks.

now, if she works only Monday to Friday on the birdhouses, then that means

1 week = 5 days

and 10 weeks = 10×5 = 50 days.

and that means she can build

0.7 × 50 = 35 birdhouses in 10 weeks.

if there is really no other information about that, I would use the usual 7 days per week and the first solution (49).

Answer:

1.8 miles

Step-by-step explanation:

Number of each type of cards after solving system of equations for given situation of Pedro cards are 29 and68.

Interpretation is Pedro collected 29 football cards and 68 baseball cards.

As given,

Total number of cards=97

Let y=football cards

    x=baseball cards

System of equations are

x + y=97  __(1)

x=y +39    __(2)

Substitute (2) in (1)

y+ 39 +y=97

⇒2y=58

⇒y=29

Substitute y=29 in (2),

x=29 +39

 =68

Therefore, number of each type of cards after solving system of equations are football cards 29 and baseball cards 68.

Interpretation is Pedro collected 29 football cards and 68 baseball cards.

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Answer: 4/25

Step-by-step explanation:

[tex](\frac{2}{5}) ^2=\frac{2}{5}\times\frac{2}{5}=\large\boxed{\frac{4}{25} }[/tex]

The solution to the system of equation is -7/2 and 1

An algebraic expression is an expression which is made up of variables and constants, along with algebraic operations such as the addition, subtraction, division and multiplication.

Given the quadratic equation below;

(2x-1)(x+3)=4

Expand

2x^2+6x-x-3 = 4

2x^2+5x-3-4=0

2x^2+5x-7=0

2x^2-2x+7x-7=0

2x(x-1)+7(x-1) = 0

2x+7 = 0 and x - 1 = 0

x = -7/2 and x = 1

Hence the solution to the system of equation is -7/2 and 1

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