People who are illegally parked in downtown Orlando may be issued $15 or $20 parking
tickets. At the end of the week, Officer Bob had issued 41 parking tickets that totaled
$655 in fines. How many $15 tickets and how many $20 tickets did Officer Bob write?

Answer:

Step-by-step explanation: Refer to attachment.

The 8th term of the pattern is 254.

Here the sequence is 9, 16, 29, 50, 81, 124, 181

By using differences we have :

 9,    16      29      50      81      124     181

  |___|  |___| |___|  |___|  |___|  |____|

    ↓         ↓       ↓        ↓         ↓        ↓

   +7      +13     +21     +31      +43    +57

     |____|  |___|  |___|  |____|  |____|

         ↓         ↓         ↓        ↓          ↓

        +6        +8      +10      +12      +14

           |____|  |____|  |___|  |_____|

                ↓          ↓         ↓          ↓

               +2        +2       +2        +2

Therefore to find the 8th value of the pattern

We will add 2 in 14

14 + 2 = 16

Now 16 should be added to 57

57 + 16 = 73

Now we will add 73 to the 181 we get

181 + 73 = 254

Therefore the 8th term of the pattern is 254 by using the difference.

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Answer:

(2x²-7)

Step-by-step explanation:

14 −1 (19 − 4x²+6) + (2² +6 - 14-1 (25-4x²) + (2² +6 −5.

Answer:

mean = 2.55

Standard deviation = 1.118

Step-by-step explanation:

Probability of babies who are boys

P = 0.51

Then we have q = 1-p

= 1-0.51

= 0.49

We have n = 5

We calculate the mean as:

np

= 0.51x5

= 2.55

Therefore mean = 2.55

The standard deviation

= √variance

= √npq

= √0.51x5x0.49

=√1.2495

= 1.118

Answer:

Y=-x-2

Step-by-step explanation:

Subtract the x. Then go to (0, -2) and go down one over 1 to the left and connect the points. Keep doing that

Answer:

na D cause imagine always observing the seasons bro

Answer:

"3 hours* (460 dives/ 12 hours)= 115 dives."

"The sea turtle made 115 dives in 3 hours"

Step-by-step explanation:

"The sea turtle made 115 dives in 3 hours

Hope this helps :)

Answer:

x = 0

Step-by-step explanation:

6 ( x + 1 ) - 5x = 8 + 2 ( x - 1 )

6x + 6 - 5x = 8 + 2x - 2

-x = 0

x = 0

Answer:

x = 0

Step-by-step explanation:

First distribute both sides to simplify the equation

6(x +1) -5x = 8 + 2(x - 1)    =

6x + 6 - 5x = 8 + 2x - 2

Combine like terms

x + 6 = 6 + 2x

Subtract x from both sides

6 = 6 + x

Subtract 6 from both sides

0 = x

[tex](4a+7b-12c)-(8a-9b+12d)\\4a+7b-12c-8a+9b-12d[/tex]

Negative multiply negative = Positive

Negative multiply positive = negative

[tex]-8a+4a+9b+7b-12c-12d\\-4a+16b-12c-12d[/tex]

Thus the answer is -4a + 16b - 12c - 12d.

Answer:

x=-2

Step-by-step explanation:

log x, log (x+2) , log (x+16) are in A.P.

2log (x+2)=log (x+2) +log (x+16)

log (x+2)²=log [(x+2)(x+16)]

(x+2)²=(x+2)(x+16)

x²+4x+4=x²+2x+16x+32

4x-18x=32-4

-14x=28

x=28/(-14)=-2

Answer:

Angle 1=  54°

Angle 2= 144°

Angle 3 = 126°

Angle 4 = 36°

Step-by-step explanation:

We are given measures of the angles of a quadrilateral are 3:8:7:2

Let the common ratio = x

The angles will be:

Angle 1= 3x,

Angle 2= 8x,

Angle 3 =7x

Angle 4 =2x

We know that sum of all angles of quadrilateral = 360°

We can write as: [tex]3x+8x+7x+2x=360[/tex]

Solving to find x,

[tex]3x+8x+7x+2x=360\\20x=360\\x=\frac{360}{20}\\x=18[/tex]

We get value of x = 18

Now, finding angles:

Angle 1= 3x = 3(18) = 54°

Angle 2= 8x = 8(18) = 144°

Angle 3 =7x = 7(18) = 126°

Angle 4 =2x = 2(18) = 36°

Answer:

a) 9

b) 10,000

c) 625

d) [tex]s^2[/tex]

Step-by-step explanation:

[tex]We\ know\ that\ Area\ of\ a\ square\ with\ side\ n=n^2\\a) 3^2 =3*3=9\\b)100^2=100*100=10,000\\c)25^2=25*25=625\\d) s^2=s^2[/tex]

The variable k can be expressed as follows:

k = 2D / f

A variable is a number represented by a letter in an equation or expression.

The variables in the given equation are D, f and k.

But we were asked to make the variable k the subject of the formula.

Therefore,

D = 1 / 2 f k

cross multiply

f k = 2D

divide both sides by f

Hence,

f k / f = 2D / f

k = 2D / f

Therefore, the variable k can be expressed as follows:

k = 2D / f

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1m2 = 10000cm2

4.5m2 = 25000cm2

Answer: D: 4.5

Step-by-step explanation:

So the Equation I used for this would be

6(2x+3) = 3(6x-3)

In Which the left is the Hexagon (The 6 is for the 6 Sides) and the right of the equation is the triangle (given the 3 for the 3 sides. In order to solve, we need to solve for x. Distribute the equation and your left with

12x+18=18x-9

-12x            +9

27=6x

Divide to get X by itself

and your left with

4.5 = x

Hope it helped.

Answer:

3,600

Step-by-step explanation:

1 yard= 36 inches

36 inches*100= 3,600

__________________________________________________________

Brainliest? I am trying to get to a new rank so I can help more people and I would totally appreciate it if you did!

Merry Christmas!

Answer:

3600

Step-by-step explanation:

Answer:

114

Step-by-step explanation:

5.70  TIMES 20 = 114.

(4, 2) is the point after 270° rotation of point (-2,4)

Tradition holds that the reflection of point P across the line, denoted by the word P', is the "image" of point P. (pronounced "P prime"). Next to the aforementioned illustration, click "show distances." It is evident that the point P', which is the image of P, is by necessity on the same side of the line as P.

To find the image of a specific point after rotation of the point about its origin we will use the formula (y,-x)

so applying this formula we get the co-ordinates (4,2).

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Answer:

A.2

Step-by-step explanation:

for it to have infinite solutions, the equations need to be identical so you have a 3x and a 2 would be put for a to make 3x-2 since the other side is 3x-2

Answer:

48ft

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

4-52=48

48÷8=6

this is correct :)

Answer:

x=7

Step-by-step explanation:

-8x+4=-52

First remove the four by subtracting 4 from -52

-8x= -56

Then, you would want the variable (x) by itself, so you divide by -8 (Dividing a negative by a negative makes a positive)

x=7

To confirm this answer is right, plug in 7 as the variable and make sure you get -52

(-8*7)+4= (-52)

Answer:

Its 3/6

Step-by-step explanation:

Answer:

one eqwivelent fraction that is = to 1/3 is 2/6 if u need more just comment and i will responed back

Step-by-step explanation:

Answer:

12 weeks.

Step-by-step explanation:

On the twelfth week they will both have saved $160.

hope this helps.

The price in dollars per gallon is 4.02 dollars per gallons.

Gasoline costs 1.05 euro per litre in France.

The first thing to do is to determine the equivalent amount of the same litre in dollar while in France.

Then, equate it the quantity of litres to gallons.

Hence,

1 euro = 1.01 dollars

1.05 euro = ?

cross multiply

price  = 1.05 × 1.01

price = 1.0605 dollars

1 litres = 0.264172 gallons

Therefore,

cost =  1.0605 /  0.264172

cost  = 4.01552442257 dollars per gallons

cost  = 4.02 dollars per gallons

Therefore, the price in dollars per gallon is 4.02 dollars per gallons.

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Answer:

4 - i

Step-by-step explanation:

Intuitively, the answer will be 4 - i, as the other numbers are too big to have a square as small as 17i.  Also, we know that  i will not be in the end result, which means that we should have a negative in the result as well.

To test this, we can simply treat 4 and -i as the sides of a right triangle and find the hypotenuse:

[tex]d = \sqrt{4^2 + (-i)^2} \\d = \sqrt{16 + 1}\\d = \sqrt{17}[/tex]

So indeed the answer is 4 - i

Answer:

d) 4-i

Step-by-step explanation:

on edge

Answer:

Answer: Distribute:

=2b+(

1

2

a)(b)+(

1

2

a)(

−2

3

)+−4ab

=2b+

1

2

ab+

−1

3

a+−4ab

Combine Like Terms:

=2b+

1

2

ab+

−1

3

a+−4ab

=(

1

2

ab+−4ab)+(

−1

3

a)+(2b)

=

−7

2

ab+

−1

3

a+2b

Answer:

=

−7

2

ab+

−1

3

a+2b

Step-by-step explanation: done

Answer:

10

Step-by-step explanation:

6y=60

60/6=1so u can easily divide

First we convert into slope-intercept form | y = mx + b

[tex]-3y=-3-x[/tex]

Move x to another side and subtract. (Whenever you move to another side, the sign/operator will be opposite. From plus to minus and from multiply to divide.)

Then move -3 to divide (-3-x)

[tex]y=\frac{-3-x}{-3}[/tex]

Separate - [tex]y=\frac{-3}{-3}-\frac{x}{-3}[/tex]

| Negative dividing Negative equal positive |

[tex]y=\frac{3}{3}-(-\frac{x}{3})[/tex]   | When the denominator is negative, we can pull out from the denominator and convert into the middle of fraction. |

| Negative multiplying Negative equal positive |

[tex]y=1+\frac{x}{3}[/tex]

This is not fully slope-intercept form yet. We swap the position of 1 and x/3

[tex]y=\frac{x}{3}+1[/tex]

There we go. The slope-intercept form.

Now our job is to find the x-intercept and y-intercept. First, know what m and b represents in the equation y = mx + b first.

From y = mx + b | m represents slope | b represents the y-intercept. |

Our equation is [tex]y=\frac{x}{3}+1[/tex]

Our m or slope is 1/3 and our y-intercept is 1. So we don't need to find the y-intercept because we've already found it.

Now move to finding x-intercept.

Substitute y as we get -

[tex]0=\frac{x}{3}+1[/tex]

Now whenever there is a denominator, multiply the whole equation by the denominator itself. As our denominator in this equation is 3, so we multiply all whole equation by 3.

[tex]0(3)=\frac{x}{3}(3)+1(3)\\0=x+3 \\x=-3[/tex]

Our x-intercept is x = -3 and y-intercept is y = 1.

Check the graph out. Our answers can be only A and B considering the slope is positive. C and D choices have negative slope (m < 0).

However, the value of slope also affects the graph. If the slope has a lot of value, then the graph will head to y-axis.

But if the slope has a little value then the graph will head to x-axis instead.

After all, when converting to the slope-intercept form. We don't need to find the x-intercept right away, just one glance at the graph along with the equation and we are able to answer it.

Thus, the answer is B choice.

I know it is a long, boring explanation. But providing a quality answer is what I'm trying to do. I may not be able to explain that good or whatever. But with an explanation, I hope it will benefit you someday, after all. An explanation can help you in a test. Thanks for reading and I hope this helps you.

Answer:

90 degrees

Step-by-step explanation:

Hope thishelps.   :)      :D