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There are 20 bicycles at the Main Street station.

According to question statement, A bicycle-sharing station on Main Street has 5 times as many bicycles as a station on Park Avenue. There are 24 bicycles at the given two stations.

We are supposed to know the number of bicycles at the Main Street station.

Let us assume that the number of bicycles at the Park Avenue station is "x". Then, number of bicycles at the Main Street station will be "5x".

We will have to form a Linear Equation of single variable "x" as per the conditions based in the question statement, and solving for x, we will obtain our desired answer.

As there are 24 bicycles at the two stations therefore,

[tex]x + 5x = 24[/tex], will be our equation.

Solving the equation for x, we get

[tex]x + 5x = 24\\6x = 24\\x=\frac{24}{6} \\or x=4[/tex]

Therefore the number of bicycles at the Park Avenue station is 4.

And the number of bicycles at the Main Street station will be 5x i.e., [tex]5*4 = 20[/tex].

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Answer:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25

Step-by-step explanation:

1 i think becoz if you shift it will become x= 2 so on putting it on eq. we will get 1

Answer:

Step-by-step explanation:

F(x) = 3x-5

F(x-2) = 3(x-2)-5

3x-6-5

3x-11

0 = 3x-11

11=3x

11/3 = x

The answer would be x = 11/3 or 3.67 I believe.

Given that the total length of the piece of steel is 25in, the numerical lengths of the first, second and third piece of the steel are 3in, 6in and 16in respectively.

Given the data in the question, let x represent the length of the first piece.

To determine the length of each piece, we equate the sum of the pieces to the total length of the steel ( 25in ).

x + 2x + ( 5x + 1 ) = 25

3x + 5x + 1 = 25

8x + 1 = 25

8x = 25 - 1

8x = 24

x = 24/8

x = 3

Hence,

Length of first piece = x = 3 inch

Length of second piece = 2x = 2(3) = 6 inch

Length of third piece = 5x + 1 = 5(3) + 1 = 15 + 1 = 16 inch

Given that the total length of the piece of steel is 25in, the numerical lengths of the first, second and third piece of the steel are 3in, 6in and 16in respectively.

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Answer: 18.25

Step-by-step explanation:

5.5*4=22

401.5/22=18.25

Answer:

$18.25

Step-by-step explanation:

Since area is given as A=LW, and we are given the values of the dimensions of the floor, we get:

5.5×4=22

So, the area is 22 yards, and it costs $401.5 to carpet it. Now, We simply need to divide the cost by the area to get the "cost per-square yard" as needed in the question. We get:

401÷22=18.25

So, the cost of the carpet per square yard is $18.25

Answer:

Step-by-step explanation:

You want the exact values of sine and cosine of the angle whose terminal point is at x=2/5 on the unit circle in the first quadrant.

The coordinates of a point on the unit circle are (cos(θ), sin(θ)). You already know that the x-coordinate is 2/5, so ...

  cos(θ) = 2/5

The Pythagorean identity in trigonometric terms is ...

  sin²(θ) +cos²(θ) = 1

Then the sine of the angle is ...

  sin(θ) = √(1 -cos²(θ))

  sin(θ) = √(1 -(2/5)²) = √((25 -4)/25)

  sin(θ) = (√21)/5

The exact values of sine and cosine are ...

Step-by-step explanation:

parallel means it has the same slope.

the slope of a line is always the factor of x (5 in our case).

so, we have already

y = 5x + ?

we resolve the "?" by using the point coordinates as x and y and solve :

1 = 5×-2 + ?

1 = -10 + ?

? = 11

so, the equation is

y = 5x + 11

Answer:

D) Dilation and reflection.

→ The shape was dilated by -1.

→ This shape was then reflected upside down.

Dilating a shape is the act of making a shape smaller by a scaled amount. Dilation is useful in mathematics when you need to determine difference in shapes' scales factors.

Reflection is mirroring a shape to its opposite image. For instance, I have triangle ∠ABC', which is facing right. I then reflect this image, and it becomes triangle ∠ABC", which now faces left on the opposite axis.

Answer:

2/15

Step-by-step explanation:

A percent is a number given out of 100

13 1/3% basically is 13 1/3 | 100

You divide and you get 40/3 x 1/100

Simplify by 20 = 40/300 simplify again and you get 2/15.

Answer:

eueueue

Step-by-step explanation:

The solution of the geometrical system is (x, y) = (2.5, 48.5).

In this question we have a picture representing two lines and a semirray that brings out two formulae for supplementary angles, these are shown below:

(x + 10) + 30 + (3 · y + 2) = 180

x + 3 · y = 148         (1)

30 + (3 · y + 2) + (5 · x - 10) = 180

5 · x + 3 · y = 158    (2)

And now we resolve the entire system of linear equations by substitution:

By (1):

x = 148 - 3 · y

(1) in (2):

5 · (148 - 3 · y) + 3 · y = 158

740 - 15 · y + 3 · y = 158

12 · y = 582

y = 48.5

By (1):

x = 148 - 3 · 48.5

x = 2.5

The solution of the geometrical system is (x, y) = (2.5, 48.5).

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Answer:

9x - 6

Hope this helps! <3

(If you need a step by step lmk)

Answer:

6x+3(x-2)

6x+3x-6

9x-6

Answer:  1

Step-by-step explanation:

here only taking the power of x in account

we have

[tex]\frac{x}{y} + \frac{y}{x}-\frac{x}{y} - \frac{y}{x}[/tex]

=0

since  [tex]x^{0}[/tex] =1

so solution is 1

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Answer:

radius

Step-by-step explanation:

Answer:7

Step-by-step explanation:

Answer:

It's answer is..-2/7 and -1/3

Answer:

I don't get the question will please can u snap it so I can see it my self and I will help u

Answer: -2 1 over 2

Step-by-step explanation:

Answer:

[tex]V=lwh\\\frac{V}{lw} = \frac{lwh}{lw} \\\frac{V}{lw} = h[/tex]

The cost to carpet this room area is $2764.8.

What is the area?

Area of room = 32*24 (product is equal to the area of carpet)

Cost of carpet per square foot = $3.6 (three. six)

Cost of carpet = Area of carpet * Cost of carpet per square foot (product)

 = 32 x 24 x 3.6

 = 2764.8

The cost to carpet this room area is $2764.8.

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The average number of miles she would have to ride each day to meet her goal is 4.7.

It is required to find the average number of miles she would have to ride each day to meet her goal.

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given:

Bilquis wants to ride her bicycle 47.6 miles this week. She has already ridden 8 miles. she rides for 6 more days.

According to given question we have,

8+4x=26

Rearrange unknown terms to the left side of the equation:

4x=26-8

4x=18

Divide 4 on both sides of the equation we get,

4x/4=18/4

x=18/4

x=4.7

Therefore, the average number of miles she would have to ride each day to meet her goal is 4.7.

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Answer:

3

Step-by-step explanation:

Think of "f(a)" like "y" in this context.   You can set that equal to 11 and solve for a:

f(a) = 3a + 2

11 = 3a + 2

9 = 3a

3 = a

Answer:

6x + 9 = 4

Step-by-step explanation:

0.0030  is the probability that you will​ win .

In statistics, what does a probability mean?

Here order of selection is important, so we will use permutation.

Total number of ways to choose 3 horses out of 8 = 8P3 = 8! / (8 - 3)! = 336

P(win) = 1/336 = 0.0030

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a) The greatest common factor is 3. And the result is 3 × (6 + 7).

b) The greatest common factor is 7. And the result is 7 × (8 + 5).

In this question we must find the greatest common factor, that is, the maximum integer with which can be divided the two number, and take advantage of this result to simplify the sum of the same two numbers, if possible.

First, we proceed to determine the required results for each of the two cases:

18 = 2 × 3 × 3

21 = 3 × 7

Then, the greatest common factor is 3. The complete procedure is:

18 + 21 = 2 × 3 × 3 + 3 × 7 = 3 × (6 + 7)

56 = 2³ × 7

35 = 5 × 7

Then, the greatest common factor is 7. The complete procedure is:

56 + 35 = 2³ × 7 + 5 × 7 = 7 × (8 + 5)

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Given - F(x) = 5 × 3-x

F(-2) refers to x = -2

Therefore 5×3-(-2) = 5× (3+2) = 5×5 = 25

Hence 25 is the value of f(-2)

Step-by-step explanation:

The trick here is to realize that this is not a sum of the money that the three people paid originally, as that would need to include the money the clerk has ($25). This is instead a sum of a smaller amount the people could have paid ($9 × 3 people = $27), added with the additional money that the clerk would not have needed had they paid that smaller amount ($27 paid - $25 actual cost = $2). Another way to say this is, the $27 already includes the bellhop's tip. To add the $2 to the $27 would be to double-count it. So, the three guests' cost of the room, including the bellhop's tip, is $27. Each of the 3 guests has $1 in his pocket, totaling $3. When added to the $27 revised cost of the room (including tip to the bellhop), the total is $30.

To obtain a sum that totals to the original $30, every dollar must be accounted for, regardless of its location.

Thus, the sensible sum can be expressed in this manner:

The value of the expression 2x - 17 is 3

The expression is given as

-3x + 6 = -24

Subtract 6 from both sides

-3x = -30

Divide both sides by -3

x = 10

Multiply by 2

2x = 20

Subtract 17 from the sides

2x - 17 = 3

Hence, the value of the expression 2x - 17 is 3

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