12 people can comfortably fit in a 4x4 foot square. Use this value to estimate the size of a crowd that is 10 feet deep on both sides of street along a 2 mile section of a parade route

Answer:

  b.  4.4 hours

Step-by-step explanation:

We can use the conversion factor 1 mi/h = 22/15 ft/s. The required relation is ...

  time = distance/speed

  [tex]\dfrac{30\text{ mi}}{\left(\dfrac{150\text{ ft}}{15\text{ s}}\right)}\times\dfrac{\left(\dfrac{22\text{ ft}}{15\text{ s}}\right)}{\left(\dfrac{1\text{ mi}}{1\text{ h}}\right)}=\dfrac{(30)(22)\text{\h}}{150}\text{ h}=4.4\text{ h}[/tex]

Assuming Kyle can keep up the pace for that distance, it would take him 4.4 hours to run 30 miles.

Answer:

[tex]d = 2\sqrt{145}[/tex]

Step-by-step explanation:

Use the Distance Formula to help you determine the distance between the two following points ( [tex](-12, 1)[/tex] and [tex](12, -1)[/tex] ):

-Distance Formula:

[tex]d = \sqrt{(x_{2} - x_{1}) ^2 + (y_{2} - y_{1})^2}[/tex]

(where [tex]( x_{1}, y_{1})[/tex] represents the first point, and [tex](x_{2}, y_{2})[/tex] represents the second point)

-Apply the following points to the equation:

[tex]d = \sqrt{(12 + 12) ^2 + (-1 - 1)^2}[/tex]

[tex]( x_{1}, y_{1})[/tex] = [tex](-12, 1)[/tex]

[tex](x_{2}, y_{2})[/tex] = [tex](12, -1)[/tex]

-Solve the equation:

[tex]d = \sqrt{(12 + 12) ^2 + (-1 - 1)^2}[/tex]

[tex]d = \sqrt{(24)^2 + (-2)^2}[/tex]

[tex]d = \sqrt{576 + 4}[/tex]

[tex]d = \sqrt{580}[/tex]

[tex]d = 2\sqrt{145}[/tex]

Therefore, the distance is [tex]2\sqrt{145}[/tex].

Answer:

6(2x+1) – 3 = 4x – 5

Firstly multiply

12x + 6 -3 = 4x-5

12x - 4x = -5-3

8x = -8

x =-1

The appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign =

Now the given equation is,

6(2x+1) – 3 = 4x – 5

So, appropriate first step to take to solve for x is expanding the brackets so, expanding the brackets we get,

12x + 6 – 3 = 4x – 5

or, 12x + 3 = 4x – 5

Taking alike terms together we get,

12x - 4x = – 5 - 3

Solving we get,

8x = -8

Dividing both side by 8 we get,

x = -1

which is the required solution of the given equation.

Thus, the appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.

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Answer:

Terrell has 5 tickets left.

Step-by-step explanation:

Answer: i think 0<u<425.65

this is considering every player will bought only one uniform for the season

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3(3x - 4) = -9x + 12

-9x + 12 = -9x + 12

0 = 0

infinitely many solutions

Answer:

26cm^2

Step-by-step explanation:

Base = 8cm

Height = 6.5cm

[tex]a = \frac{base \: cm \times heightcm}{2} [/tex]

Substitute values into the given equation

[tex]Area = \frac{8 \: cm \times 6.5 \: cm \: }{2} \\ = \frac{52 {cm}^{2} }{?} \\ = 26 \: {cm}^{2} [/tex]

Answer:

123

Step-by-step explanation:

If the answer is wrong please let me know so I can fix it!!! Have a Great Day :)

Answer:

123

Step-by-step explanation:

16-4+111

12+111

=123

Answer:

[tex](\frac{17}{18}, \frac{23}{6})[/tex]

Step-by-step explanation:

D1 = [tex]\sqrt{(x+3)^2 + (y-4)^2}[/tex]

D2 = [tex]\sqrt{x^2 + y^2}[/tex]

Then set D1 = D2, and substitute in y = 3x+1

[tex]\sqrt{(x+3)^2 + (3x-3)^2}[/tex] = [tex]\sqrt{x^2 + (3x+1)^2}[/tex]

[tex]x^2 +6x +9 +9x^2 - 18x + 9 = x^2 + 9x^2 + 6x + 1[/tex]

[tex]18x = 17[/tex]

x = 17/18

Then to find y, substitute back in x for y = 3x + 1

[tex]y = \frac{17}{18} * 3 + 1[/tex]

y = 23/6

The coordinates of the point on the straight line y = 3x + 1 is [tex](\frac{17}{18} ,\frac{23}{6} )[/tex].

Here,

The equation of straight line is y = 3x + 1

And, it is equidistant from the origin and (-3, 4)

We have to find the coordinates of the point on the straight line.

What is the distance between the two points?

The length of the line segment that connects the two given points, is called distance between two points.

Now,

Let the point (x, y) on the line y = 3x + 1.

Distance between the points (x, y) and (0, 0) is;

[tex]D = \sqrt{(x-0)^2+(y-0)^2}[/tex]

[tex]D = \sqrt{x^{2} +y^{2} }[/tex]

And, Distance between the points (x, y) and (-3, 4) is;

[tex]D = \sqrt{(x+3)^2+(y-4)^2}[/tex]

[tex]D = \sqrt{x^{2} +6x+9+9x^{2} -18x+9}[/tex]

Equating both distance we get;

[tex]\sqrt{x^{2} +6x+9+9x^{2} -18x+9} = \sqrt{x^{2} +y^{2} }\\\\ {x^{2} +6x+9+9x^{2} -18x+9} = x^{2} + y^{2} \\\\18x = 17\\\\x = \frac{17}{18}[/tex]

And, To find y put the value of x in y = 3x + 1, we get;

[tex]y = 3 * \frac{17}{18} + 1\\\\y = \frac{23}{6}[/tex]

Hence, The coordinates of the point on the straight line y = 3x + 1 is [tex](\frac{17}{18} ,\frac{23}{6} )[/tex].

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Answer:

the answer is 3.5 tell me if you got it right

Answer:

m = 1

Step-by-step explanation:

4 x 1 + 3 = 7

Answer:  Addition property

Step-by-step explanation:

In the equation 4m + n = 7  , it indicates that n is 3, which means 3 has been added to it to get 4m + 3 = 7   so 3 has been added on each side.

Answer: 4/9 of the class are boys and 5/9 of the class are girls.

Step-by-step explanation:

Answer:

-11, -2, 3, 6

-16, -5, 21, 29

Step-by-step explanation:

Answer:

You are almost correct

2. -11, -2, 3, 6

3. -16, -5, 19, 21

Step-by-step explanation:

This is the answer because:

1) Whenever we are comparing integers, the larger the negative number, the smaller value they have, and for positive numbers the larger the number, the more value they have

2) Therefore, the answers would be

2. -11, -2, 2, 6

3. -16, -5, 19, 21

Hope this helps! :D

Answer:

Step-by-step explanation:

66 times 66  for area is 4356 then 4356 divided by 22 is 217.8 so 218

Answer:

Simplify the expression.

−16x

Step-by-step explanation:

Answer:

- 12/7|x-9.6|+12.8

Step-by-step explanation:

Such a ray that divides an angle into two equal angles is called an angle bisector.

Likewise, two rays that divide an angle into three congruent angles are called angle trisectors. Figure %:

An angle bisected and trisected On the left, angle ABC is bisected by the ray BD.

Credits to google.

In short, no.

Answer:

0.66666667 or 0.6

Step-by-step explanation:

if you put [tex]\frac{2}{3}[/tex] in a calculator and convert it, it would display

0.6666 with infinite sixes.

you can also write it as:

0.6

ps ;; you would do this for any fraction, then round it.

Answer:

60000

Step-by-step explanation:

Answer:

60,000

Step-by-step explanation:

2 times 30,000 is 60,000

Answer:

how many dose she have

Step-by-step explanation:

Answer: 18 strawberries

Maria puts 6 strawberries in each smoothie she makes. She makes 3 smoothies altogether how many strawberries does Maria use in the smoothies? (i’m guessing is the real question)

Well she needs to put 6 strawberries in EACH of the 3 smoothies. The easiest way to find the answer is to multiply! 6 • 3 = 18! So, I hope this helps!

Answer:

19 feet

Step-by-step explanation:

Area= length × length

361= l²

√361= l

19= l

Answer: 76

Step-by-step explanation:

Answer:

x>-2

Step-by-step explanation:

-3x+2<8

Subtract 2 from each side

-3x+2-2<8 -2

-3x < 6

Divide each side by -3. remembering to flip the inequality

-3x/-3 >6/-3

x>-2

Answer:

9cm

Step-by-step explanation: i think. ah

Answer:

3 cm³

Step-by-step explanation:

Formula a =√(A/6)

a = edge

A = Surface Area

a = √(54/6) = 3