In a certain state, speeding fines are determined by the
formula F = 5 (X-60 + 40, where F is the cost in dollars of the
fine if a person is caught driving x miles per hour. How fast a person was speeding if the fine comes to $115?

Answers

Answer 1

Step-by-step explanation:

If u casually solve the given equation by putting 115 instead of 'F' u will get the value of 'X' which is 43 and i guess it's the answer


Related Questions

please help.. no links​

Answers

Answer:

Its 9.0 units

Step-by-step explanation:

For the side mostly to the left, its gonna be 3 units, since we can easlily count it

Now, for the diagonals, we have to use the formula for the area of a triangle, which is (l * w) / 2 = a.

For the bottom side, its 3 along the x axis and 1 along the y axis. 3 * 1 is 3, now divide that by 2 and you got 1.5

Now, for the right side, its 5 on the y, 1 on the x. Multiply 1 by 5, you got 5. Now divide that by 2 and you have 2.5

Finally, for the top side, its 4 on the x, and 1 on the y. 4 * 1 is 4, divided by 2 and its 2.

Alright, now we have to add 'em all together. 3 + 1.5 + 2.5 + 2 is 9 units

Theres your answer :)

What is the median mean mode and range of 1,3,5,8,10?

Answers

Answer:

Below!

Step-by-step explanation:

Given data: 1, 3, 5, 8, 10

Determining the median of the data:

The median is the "middle number" of the data in ascending or descending order. In this case, the data is already in ascending form. Since the number of digits in the data is ODD, we will use to formula (n + 1)/2 (where "n" is the number of digits) to determine the median.

⇒ (n + 1)/2⇒ (5 + 1)/2⇒ (6)/2⇒ 3

Determining the mean of the data:

The mean of the data is the average number of the data (as said above). To determine the average number (mean), we need to sum the digits in the data and divide it by the total digits in the data. In this case, the sum of the digits in the data is 27 and the total digits in the data is 5.

⇒ Mean = (27)/5⇒ Mean = 5.4

Determining the mode of the data:

The mode of the data is the number that has repeated the most.

⇒ "1" has been repeated once⇒ "3" has been repeated once⇒ "5" has been repeated once⇒ "8" has been repeated once⇒ "10" has been repeated once

Since all the digits in the data has repeated once, all the numbers in the data (1, 3, 4, 8, 10) are the mode.

Determining the range of the data:

The range of the data is the difference of the largest and smallest number (As said above).

⇒ Range = Largest number - Smallest number⇒ Range = 10 - 1⇒ Range = 9

Answer:

Median: 5

Mean: 5.4

Mode: 1, 3, 5, 8, 10

Range: 9

Step-by-step explanation:

Median: the middle value.

Mean: the average (found by adding up all of the numbers and dividing them by the number of numbers in the data set).

Mode: the number that is most frequent.

Range: the difference between the biggest and smallest values.

First, make sure your data set is in numerical order: 1, 3, 5, 8, 10

Median: 5

1, 3, 5, 8, 10

Mean: 5.4
1 + 3 + 5 + 8 + 10 = 27

27/5 = 5.4

Mode: 1, 3, 5, 8, 10

1, 3, 5, 8, 10

All of them, as they all appear once.

Range: 9

10 - 1 = 9

Hope this helps!

A woman bought some large frames for ​$18 each and some small frames for ​$8 each at a closeout sale. If she bought 21 frames for ​$​248, find how many of each type she bought.

Answers

Answer:

8 large frames and 13 small frames

Step-by-step explanation:

Given:
$18 each = large frames

$8 each = small frames

To Find:

⇒  Bought 21 frames for ​$​248, find how many of each type she bought

Solve:

1 Large frame costs = 18 $

Therefore, x large frames costs = 18x $

{where x is the number of large frames she bought}

1 Small frame costs = 8 $

Therefore, x Small frames costs = 8y $

{where y is the number of small frames she bought}

By the given condition :

18x + 8y = 248        {equation 1}

x + y = 21                 {equation 2}

Solve these equations simultaneously, from second equation we get :

x = 21- y

18⋅(21−y)+8y= 248

378 - 18y+8y = 248

-10y = -130

y = 13

Put y = 13 in eq x = 21- y

x = 21  - y

x = 21 - 13

x = 8

So the woman bought 8 large frames and 13 small frames.

~lenvy~

find the term to term rule for the following sequence 2,6,18, 54, 162

Answers

*3 or multiply by 3

:)

Answer:

multiply 3 or *3 that is 2*3=6

solve it in form of cos and sin pls​

Answers

[tex]\text{L.H.S}\\\\=\dfrac{\cot A}{1- \tan A} + \dfrac{\tan A}{1- \cot A}\\\\\\=\dfrac{\tfrac{\cos A}{\sin A}}{1- \tfrac{\sin A}{\cos A}} + \dfrac{\tfrac{\sin A}{\cos A}}{1-\tfrac{\cos A}{\sin A}}\\\\\\=\dfrac{\tfrac{\cos A}{\sin A}}{\tfrac{\cos A- \sin A}{\cos A}} + \dfrac{\tfrac{\sin A}{\cos A}}{\tfrac{\sin A - \cos A}{\sin A}}\\\\\\=\dfrac{\cos^2 A}{\sin A(\cos A-\sin A)} + \dfrac{\sin^2 A}{\cos A(\sin A - \cos A)}\\\\\\[/tex]

[tex]=\dfrac{\cos^2 A}{\sin A(\cos A-\sin A)} - \dfrac{\sin^2 A}{\cos A(\cos A - \cos A)}\\\\\\=\dfrac 1{\cos A - \sin A} \left( \dfrac{\cos^2 A}{\sin A} - \dfrac{\sin^2 A}{\cos A}\right)\\\\\\=\dfrac 1{\cos A - \sin A} \left(\dfrac{\cos^3 A - \sin^3 A}{\sin A \cos A} \right)\\\\\\=\dfrac 1{\cos A - \sin A} \left[\dfrac{(\cos A - \sin A)(\cos^2 A + \sin^2 A + \sin A \cos A)}{\sin A \cos A} \right]\\\\\\=\dfrac{\cos^2 A + \sin^2 A+\sin A \cos A}{\sin A \cos A}\\\\\\[/tex]

[tex]=\dfrac{\cos^2 A}{\sin A \cos A}+\dfrac{\sin^2 A}{\sin A \cos A}+\dfrac{\sin A \cos A}{\sin A \cos A}\\\\\\=\dfrac{\cos A}{\sin A} + \dfrac{\sin A}{\cos A} + 1\\\\\\=\cot A + \tan A + 1\\\\\\=1 + \tan A + \cot A\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]

A case of soda has 12 cans. Each can holds 360 milliliters of soda. What is the total
number of liters of soda in the case?

Answers

Answer:

4.32 Liters

Step-by-step explanation:

12*360 mL= 4320 mL

mL to L= mL/1000

4320/1000= 4.32

The set of numbers 1, 5, 13, and 24 contains values for m. What values of m makes the equation below true?

6m+12=42

Answers

Answer:

5

Step-by-step explanation:

Solve the equation first for "m"

6m + 12 = 42

6m = 30 (subtract 12)

m = 5 (Divide by 6)

5 is your answer

Hope this help! Please mark me brainliest, it helps!

5) If the mean of the following data is 20.2, find the value of p. Variable (x) 10 15 20 25 30 Frequency (fi) 6 8 p 10 6​

Answers

Answer:

p = 20

Step-by-step explanation:

Step1 :

Multiply each value by its  frequency then  add up :

(10 × 16) + (15 × 8) + (20 × p) + (25 × 10) + (30 × 6) = 20p + 610

Step2 :

Calculate the total of the frequencies :

6 + 8 + p + 10 + 6 = p + 30

The mean is equal to

[tex]\frac{20p+610}{p+30}[/tex]

Therefore

[tex]20.2 = \frac{20p+610}{p+30}[/tex]

then

20.2 × (p + 30) = 20p + 610

then

20.2p + 606 = 20p + 610

Then

20.2p -  20p = 610 - 606

Then

0.2p = 4

Then

p = 4/(0.2)

  = 20

You are a teller at a bank. A customer has $252 in their checking account. They write a check for $287 (debit) that is cashed by the recipient . Will the new balance be positive or negative?

Answers

Negative. You have $252, and the check will take away $287, so 252-287 is -35.

Below are the score of 30 students in an oral interview. use the information to find the average score.
Score: 1 2 3 4 5
frequency: 7, 7, 7, 12, 3​

Answers

Step-by-step explanation:

the average score would be 3 i think

For which inequality is x = 5 a solution

Answers

Answer:

4<x<6

Step-by-step explanation:

4 is smaller than x

and x is samller than 6

so its 5

I need help with this please?

Answers

1320

Step-by-step explanation:

the triangle,1/2×15×20×2=300 .rectangle,17×25=425,20×17=340,15×17=255. sum them up 300+255+425+340=1320

Expand and simplify (x - 7)(x + 4)

Answers

Answer:

x^2 - 3x - 28

Step-by-step explanation:

(x-7)(x+4) = x^2 + 4x - 7x - 28 according to the distributive property

Which = x^2 - 3x - 28

Answer:

[tex]x^{2} -3x-28[/tex]

Step-by-step explanation:

[tex](x - 7)(x + 4)\\x(x + 4)-7(x + 4)\\x^{2} +4x-7x-28\\x^{2} -3x-28[/tex]

Helpppppppppppp me out

Answers

Answer:

1.898×[tex]10^{27}[/tex]

2×[tex]10^{27}[/tex]

Step-by-step explanation:

so, there's what's called standard form in maths. this is where you're given a crazy-long chain of digits and are made to shorten that long number. the great thing about this kind of notation is that it makes reading large quantites easier (like super easy)

when dealing with standard form, the unit before the comma must always be from numbers one to nine, always!!!the digits before the comma must never be zero or anything above 9.99999... never!!! after placing your comma all you have to do is count the number of digits (or in this case, zeros) that number of digits after the comma then becomes the power your 10 is being raised to.it is crucial for you to remember that 10, otherwise your number won't be in it's standard form

I hope you'll find this helpful

please correct any and all errors found :)

7x=7.7 How would i figure this out ?

Answers

Divide by 7 on both sides to get x

With a choking victim, the rescuer will provide abdominal thrusts which should be performed
by:
A. None apply
B. Pressing in the person's chest with hard and fast compressions,
C. Making quick inward and upward thrusts to the abdominal cavity with your fist.
D. Lying the person on their back and pushing up into their stomach and rib cage.

Answers

the answer is C never lie the person down and you don’t press on the chest because it’s in the abdomen

5 Ed has two dogs. The smaller dog weighs
83 pounds. The larger dog weighs 13 times
as much as the smaller dog. How much does the larger dog weigh?

Answers

Answer:

1,079 more pounds

Step-by-step explanation:

because if you do 83x13 you will get 1,079

Les gusta mi dibujo a mano con lapiz y papel

Answers

Está bonito, solo algunos detalles, pero con practica creeme que va estar mejor. Los dedos de las manos hay que trabajar más, ¡Está bonito!

A credit card had an APR of 25.67% all of last year and compounded interest daily. What was the credit card's effective interest rate last year?

a
28.25%
b
29.25%
c
28.92%
d
27.32%

Answers

Answer:

The answer is 29.25%.

Step-by-step explanation:

I think it is B
Hope this is right!!!

Find the area of the polygon

Answers

Answer:

40

put some efforts dude...they are so easy

Answer:

40

Step-by-step explanation:

area of a triangle= ½×base× height½×4×6=10since the polygon ha four equal triangles with the same measurement,multiply by four10×4=40ans=40

hope that helps

Which table represents a linear function?
x
X
y
x
х
y
1
y
0
y
1
0
0
0
0
0
1
2
1
1
1
1
1
3
AN
low
N
4
3
2
0
N
5
2
3
3 3
8.
3
6
3
1
3
7
O
o

Answers

Answer:

  (d)  see attached

Step-by-step explanation:

A linear function has equally-spaced outputs for equally-spaced inputs. The given tables all have sequential values for x, so we can find the linear function by looking at the differences of y-values.

  a) 2 -1 ≠ 4 - 2 . . . . not linear (exponential)

  b) 1 -0 ≠ 3 -1 . . . . not linear (quadratic)

  c) 1 - 0 ≠ 0 - 1 . . . . not linear

  d) 3 -1 = 5 -3 = 7 -5 . . . . a linear function

✏Answer ✏

Letter D. A linear function.

Step-by-step explanation:

# Brainliest Bunch

Solve for the unknown side and find perimeter of the figure below note that the figure is not drown to scale.​

Answers

Answer:

[tex]x = 12\ m,\ perimeter = 63\ m[/tex]

Step-by-step explanation:

Step 1:  Determine x

[tex]\frac{15\ m}{10\ m} = \frac{x}{8\ m}[/tex]

[tex](15\ m*8\ m) = (10\ m * x)[/tex]

[tex]120\ m^2 / 10\ m = x * 10\ m / 10\ m[/tex]

[tex]12\ m = x[/tex]

Step 2:  Determine the perimeter of the figure

[tex]18\ m + 15\ m + 10\ m + 8\ m + 12\ m[/tex]

[tex]63\ m[/tex]

Answer:  [tex]x = 12\ m,\ perimeter = 63\ m[/tex]

Does 0 ÷ a =a ÷ a(assume a is not equal to 0)? explain

Answers

Answer:

A = 0

__________________________________________________________

Solve

Although the question says not to assume A is 0, that is the only possible option, since any nor prime or composite is going to be the higher number, because it stays the same.

0 ÷ a(0) = 0

a(0) ÷ a(0) = 0

__________________________________________________________

Questions?

Ask in the comments.

I’m having trouble can someone find this answer out

Answers

Answer:

f(x) = 13 when x = 10.

Step-by-step explanation:

[tex]f(x)=\frac{x}{2}+8[/tex]

[tex]f(10)=\frac{10}{2}+8[/tex]

[tex]f(10)=5+8[/tex]

[tex]f(10)=13[/tex]

Therefore, f(x) = 13 when x = 10.

Answer:

13

Solution:Plug in the value of x, which is equivalent to 10, instead of x:[tex]f(10)=\displaystyle\frac{10}{2} +8[/tex]f(10)=5+8f(10)=13

Hope it helps.

Do comment if you have any query.

Find the area
A. 775
B. 625
C. 475

Answers

Answer:

625 in²

Step-by-step explanation:

Area of the figure = Area of the rectangle + Area of the triangle

Finding the base of the triangle

b² = 25² - 15²b² = 625 - 225b² = 400b = 20 in.

Finding Area

A = 25 x 19 + 1/2 x 20 x 15A = 475 + 150A = 625 in²

Donte bought a computer that was 20% off the regular price $1,080. If an 8% sales tax was added to the cost of the computer, what was the total price donte paid for

Answers

Answer:

$933.12

Step-by-step explanation:

So 20% of $1,080 is 216.

1080 - 216 is 864

8% of 864 is 69.12

864 + 69.12 would be $933.12

Find the sum of the first 21 terms of the arithmetic progression.
−7, −11, −15, . . .

Answers

We are given with an AP (Arithmetic Progression) with first term being -7, and the common difference being the difference between any succeding term from any term and the term itself, so common difference = -11 - (-7) = -11 + 7 = -4, so now before finding the sum of 21 terms, let's recall that ;

[tex]{\boxed{\bf{S_{n}=\dfrac{n}{2}\{2a+(n-1)d\}}}}[/tex]

Where, d is the common difference, a is the first term, and n is the number of terms and [tex]{\bf S_n}[/tex], being the sum of n terms, so putting all the values in the formula, we will have ;

[tex]{:\implies \quad \sf S_{21}=\dfrac{21}{2}\{2\times -7+(21-1)-4\}}[/tex]

[tex]{:\implies \quad \sf S_{21}=\dfrac{21}{2}(-8+20\times -4)}[/tex]

[tex]{:\implies \quad \sf S_{21}=\dfrac{21(-8-80)}{2}}[/tex]

[tex]{:\implies \quad \sf S_{21}=\dfrac{21(-88)}{2}}[/tex]

[tex]{:\implies \quad \sf S_{21}=-21\times 44}[/tex]

[tex]{:\implies \quad \boxed{\bf{S_{21}=-924}}}[/tex]

can somebody help me im confused

solve the equation

Answers

Check the picture below.

the assumption is that the graph keeps on going all the way to ±infinity.

Bear in mind that the interval notation is referring to the endpoints on the x-axis.

In a 3-digit number, the hundreds digit is four more than the units digit, and the tens digit is three more then the sum of the other digits. Find the three digits if the sum of all three digits is 15. Then find the number.

Answers

Answer:

591

Step-by-step explanation:

Let's use algebra to solve this question:

Units digit = x

Hundreds digit = x+4

Tens digit = 3 + (x+4) + x = 2x +7

All 3 digits = 15

so x + (x+4) + 2x + 7 = 15

4x +11 =15

4x = 4

x = 1

Then you substitute:

Units = 1

Hundreds = 1+4 = 5

Tens = 2(1) + 7 = 2 + 7 = 9

The number is therefore 591.

Someone help me out with this!!

Answers

Answer:

Missing Angle = 75 degrees

This answer may not be correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

The Missing Angle:

All of the angles add up to 180 since it is a triangle, so the equation is:

90 (the box aka right angle) + 15 + (the missing angle) = 180

Then, add 90 + 15 = 105. After that, do:

180 - 105 = 75 degrees (don't forget the label!)

I am so sorry, but unfortunately, I do not know the answer for finding the lengths of the sides x and y.

Answer:

75°, x = 49.69, y = 12.85

Step-by-step explanation:

The missing angle is complementary with given since the triangle is right.

90° - 15° = 75°

Use trigonometry to find x

cos 15° = 48/xx = 48/cos 15°x = 49.69 (rounded)

Use Pythagorean to find y

[tex]y=\sqrt{49.69^2-48^2} =12.85[/tex] rounded

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