is 4.887888 a rational number

[tex]3x+4y=12\implies 4y=-3x+12\implies y=\cfrac{-3x+12}{4} \\\\\\ y = \cfrac{-3x}{4}+\cfrac{12}{4}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{4}}x+\stackrel{\stackrel{b}{\downarrow }}{3}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

At 1 hour, 3 hours and 6.5 hours she travels 36 miles, 108 miles and 234 miles respectively using the concept of average speed of an object.

As per the question statement, Clare covers a distance of 0 miles, 72 miles, 144 miles and 216 miles in 0 hours, 2 hours, 4 hours and 6 hours respectively.

We are supposed to find out the distance travelled by her in 1 hour, 3 hours and 6.5 hours.

We will use the concept of average speed of an object which is as follows

average speed = total distance divided by the total time taken

average speed = 216/6 = 36 miles per hour

Hence at 1 hour, distance = 1 * 36 = 36 miles

at 3 hours, distance = 3 * 36 =108 miles

at 6.5 hours, distance = 6.5 * 36 = 234 miles

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The solution of the equation 11kx+13kx= 6 is x = 1/(4k)

The given equation is 11kx+13kx = 6

To solve this equation first we have to take x as common and rearrange the equation, so we can group the like terms together

x(11k+13k) = 6

Add the like terms in the equation

x(24k) = 6

Move 24k to the right hand side of the equation

x = 6/(24k)

Here we have to simplify the value of x, for that we have to divide 6 by 24k in the equation

x = 1/(4k)

Hence, the solution of the equation 11kx+13kx= 6 is x = 1/(4k)

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Answer: 17/100, which would be 17%

Step-by-step explanation:

The function f(17) represent your friend paid for 17 rides and had $42.75 left over.

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

Let f(x) represent the amount that the rider has left over after x rides.

f(x) = -1.25x + 64

f(17) = -1.25(17) + 64 = 42.75

f(17) = $42.75

f(17) represent the money left

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A graph of the given ordered pairs has been plotted as shown in the image attached below.

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

An ordered pair can be defined as a pair of two elements that are typically written in a fixed order within parentheses as (x, y), which represents the x-axis (abscissa) and the y-axis (ordinate) on a coordinate plane.

In conclusion, a graph which represents the given ordered pairs shows a discrete function.

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different numerators and denominators but are equal to the same value.
-
if you need a specific number answer from a problem, you'd need to attach a picture

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

x - y = 3

x + y = 27

add them:

2x = 30

x = 15

from x+y=27, we can see that y = 12

Answer:

A = 0.041138659 Sq. Mi.

Step-by-step explanation:

now I'm guessing that mark's backyard is GIGANTIC

and according to the info the question gave I know his back yard is also a Rectangle, knowing this we can safely say the formula to find the Area of a rectangle: A = LW to break this down it's like saying:

Area = length × width

the question already states that the width was 4/5 of a mile and the length was 1/2 of a mile we would convert the miles to feet

1 mile = 5,280 ft

4/5 × 5,280 = 4,224 ft

so, 4/5 of a mile would be 4,224 ft

similarly, 1/2 of a mile would be 2,640

1/2 × 5,280 = 2,640

GREAT we found our new length and width

length= 2,640 ft

width=4,224 ft

plug it in the formula

A= L×W

A= 2,640 ft · 4,224 ft

A= 1,146,880 sq. ft.

change that into square miles by dividing by 27878000

0.041138659 Square Miles

The number of turns gear B will make is 8.25 turns

Given data

Gear A turns clockwise and has 54 teeth

Gear B turns counterclockwise and has 36 teeth

gear A makes 5.5 rotations

One of the gears is driving the other hence the distance covered by each of the gears is constant.

The distance is the product of the number of rotations and the number of teeth and this should be a constant

Therefore, let the number of rotations of gear B be x

54 teeth * 5.5 rotations = 36 teeth * x rotations

x rotations = ( 54 teeth * 5.5 rotations ) / 36 teeth

x rotations = 54/36 * 5.5

x rotations = 1.5 * 5.5

x rotations = 8.25

We can therefore say that gear B will make 8.25 rotations

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Answer:

400 miles

Step-by-step explanation:

Let m be the number of miles.

[tex]85(2) + .30m = 290[/tex]

[tex]170 + .30m = 290[/tex]

[tex].30m = 120[/tex]

[tex] m = 400[/tex]

The total cost for her jeans will be $84.

From the information, Grace has a coupon for $2 off the regular price of each pair of jeans she buys and she buys 4 pairs of jeans with a regular price of $23 each.

The total cost for her jeans will be:

= (4 × $23) - (4 × $2)

= $92 - $8

= $84

Therefore, it should be noted that the total cost is $84.

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Answer:

The lengths of the sides are 18 ft, 18 ft, and 24 ft.

The cosine function that has an amplitude of 4 and a phase shift of pi over 4 is given by:

f(x) = 4cos(2x - π/4) + 4.

The cosine function is defined as follows, considering it's coefficients:

y = acos(bx - c) + d.

The meaning of the coefficients is given as follows:

In this problem, we want an amplitude of 4, hence coefficient a has a value of:

a = 4.

We also want a phase shift of π/4, hence the coefficient c has a value of:

c = π/4.

Among the given options, the one that gives a cosine function with the desired amplitude and phase shift is:

f(x) = 4cos(2x - π/4) + 4.

Which is the first option.

The options are missing, and are given by the image at the end of the answer.

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The number of terms of the 2nd A.P if its common difference is given as 4 is 76.

What is common difference?

The difference between consecutive integers in an arithematic sequence is a frequent distinction. Simply subtract the first word from the second term, or the second from the third, or anything similar, to find it. See how we have to add 8 each time to reach the following term? Thus, our common difference is eight.

1st A.P

Let 1st term be a d = 6

Therefore T51 = a + ( 51 - 1 )6

= a + 300

Now 2nd A.P

let the 1st term be a

Therefore for n no. of terms,

lats term,  a + ( n - 1 )4

But according to the question:

 a + ( n - 1 )4 =  a + 300

n - 1 = 300/4

n = 75 + 1

n = 76

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Sebastian has solved the expression wrongly and the correct answer will be 536.

We are given the expression:

(87 × 8) - (4 × 40)

We need to simplify the expression.

For this, we need to follow the rule of PEMDAS.

So, we get that:

696 - 160

= 536

Sebastian has simplified it wrong as he has not followed the rule of PEMDAS and first subtracted 4 from 8.

Therefore, we get that, Sebastian has solved the expression wrongly and the correct answer will be 536.

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The order of the scales from smallest to largest would be,

inch, centimeter, yard, meter

In this question, we have been given a scale drawing of a car is presented in the following three scales.

We need to order the scale drawings from smallest to largest.

We know that,

1 cm = 2.54 inch

and 1 meter = 1.1 yards

We know that the metric conversion,

1 meter = 100 centimeters

And 1 cm = 2.54 inch

So, 1 meter = 254 inches

This means, meter is the largest scale and inch is the smallest scale.

1 yd = 91.44 cm

This means, yard is greater than centimeter.

Therefore, the order of the scales from smallest to largest would be,

inch, centimeter, yard, meter

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The image of triangle ABC△ABC triangle, A, B, C under a dilation whose center is CCC and scale factor is 222. The dimensions of the new triangle are 8.2, 12.8, and 10.2 units. The graph of the Δ is given below.

A spatial transformation is each mapping of the feature space to itself and it maintains some spatial correlation between figures.

The △ABC is given below.

The dimensions of triangle are approximately 4.1, 6.4, and 5.1.

And scale factor of the dilation is 2.

If △ABC is dilated by the scale factor of 2 as a center of C.

Then dimensions of the new △A'B'C will be

A'C = AC × 2

A'C = 4.1× 2

A'C = 8.2 units

B'C = BC × 2

B'C = 6.4 × 2

B'C = 12.8 units

B'A' = BA × 2

B'A' = 5.1 × 2

B'A' = 10.2 units

Then the dimensions of new triangle are 8.2, 12.8, and 10.2 units.

The graph of triangle is given below:

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Step-by-step explanation:

sgshshsbhehdbdbdbsbehebebdbebd

The two come separately, and the p(wed.) value for each one is 0.0841. It is founded on likelihood on probability.

Probability is a way to gauge how likely something is to happen. Many things are hard to predict with complete certainty. We can only forecast how likely an event is to occur using it, or how likely it is to occur.

The probability is typically defined as the proportion of positive outcomes to all outcomes in the sample space. Probability of an event P(E) = (Number of favourable outcomes) is how it is stated (Sample space).

based on the facts provided;

p(0) = p(w,w)

= 0.29² = 0.0841

p(1) = p(t, w+t) + p(w, t)

= 2p(w,t) +p(t,t) = 2·.29·.37 + .37² = 0.3515

p(2) = p(f, w+t+f) +p(w+t, f)

= 0.16(2(.29+.37)+.16) = 0.2368

p(3) = p(s, w+t+f+s) +p(w+t+f, s)

= 0.18(2(.29+.37+.16) +.18) = 0.3276

In summary, your pmf is ...

y : p(y)

0 : 0.0841

1 : 0.3515

2 : 0.2368

3 : 0.3276

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Check the picture below.

[tex]\stackrel{\textit{\LARGE Areas}}{ \stackrel{\textit{two triangles}}{2\left[\cfrac{1}{2}(\underset{b}{8})(\underset{h}{6}) \right]}~~ + ~~\stackrel{\textit{three rectangles}}{(14)(6)~~ + ~~(14)(8)~~ + ~~(14)(10)}} \\\\\\ 48~~ + ~~84~~ + ~~112~~ + ~~140\implies \text{\LARGE 384}~cm^2[/tex]

Answer:

16

Explanation:

It states the answer in the question. Unless you meant something else?

Hope this helps!

Have a good day :)

Answer: He shared 16.

Step-by-step explanation:

The relation on the table of values is a linear model,

The table of values is given as

Number cars sold 5 6 7 8 9 10

Salary 2750 3200 3650 4100 4550 5000

On the table of values, we can see that:

As the number of cars increase by 1, the salary increases by 450

This means that the table has a constant rate of 450

Relations that have a constant rate are  linear relations

Hence, the table of values is a linear relation

In (a), we have

Slope, m = 450

A linear equation is represented as

y = m(x - x1) + y1

So, we have

y = 450(x - 5) + 2750

Evaluate

y = 450x + 500

When the number of cars is 23, we have

y = 450 x 23 + 500

Evaluate

y = 10850

Hence, the total monthly pay is $10850

Here, we have

y = 6800

This gives

450x + 500 = 6800

This gives

450x = 6300

Evaluate

x = 14

Hence, the number of cars is 14

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Answer:

it is a linear equation

Step-by-step explanation:

When  3.68086257145 divided by 6.533 * 4,085,0811 we get 1.379228624370833401829E-8

The methods of division are of three types according to the difficulty level. These are the chunking method or division by repeated subtraction, short division method or bus stop method and long division method.

The division of two numbers can be calculated using the following formula:

Dividend / Divisor = Quotient + Remainder.

The number that is being divided in this case is known as the dividend. The number that divides the number (dividend) into equal parts is known as the divisor.

The quotient is the result of the division operation.

The remainder is the leftover number in the division operation.

We have been given that

3.68086257145 divided by 6.533× 4,085,0811

First we simplify multiplication part

6.533× 4,085,0811  = 266878348.263

Now

3.68086257145 divided by 266878348.263

3.68086257145 ÷ 266878348.263

= 1.379228624370833401829E-8

Hence , 1.379228624370833401829E-8 is the result of the 3.68086257145 divided by 6.533× 4,085,0811 .

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The sequence that contains all the given terms is:

aₙ = -18 + 6*n

Then the correct option is C.

Here we have the elements:

a₃ = 0

a₄ = 6

a₅ = 12

a₆ = 18

a₇ = 24

So each term adds 6 to the previous one, so trivially the relation is of the form:

aₙ = aₙ₋₁ + 6

Now we need to find the first term.

We can rewrite the above equation as:

aₙ₋₁ = aₙ - 6

Then we willget:

a₂ = a₃ - 6 = 0 - 6 = -6

a₁ = a₂ - 6 = -6 - 6 = -12

a₀ = a₁ - 6 = -18

Then the sequence is:

aₙ = -18 + 6*n

Then the correct option is C.

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