Cathy lives in a state where speeders are fined $15 for each mile per hour over the speed limit. Cathy was given a ticket for $105 for speeding on a road where the speed limit is 60 miles per hour. How fast was Cathy driving?

Answers

Answer 1

Answer:

Cathy was driving at a speed of 67 miles per hour.

Step-by-step explanation:

Fined $15 for each mile per hour over the speed limit. Cathy was given a ticket for $105.

We solve this using a rule of three.

1 mile - $15

x miles - $105

Applying cross multiplication:

15x = 105

x = 105/5 = 7.

Cathy was 7 miles above the speed limit.

How fast was Cathy driving?

7 miles above the speed limit of 60 miles per hour, so 60 + 7 = 67 miles per hour.

Cathy was driving at a speed of 67 miles per hour.


Related Questions

i know the answer but i need a thorough explanation on how to do this. pls answer the questions i have for brainliest thank you

Answers

Answer:

i think because it's powered by 4

(27x^3)^4/3 = 27^(4/3) * (x^3)^(4/3) =
(3^3)^(4/3) * (x^3)^(4/3) =
3^(3*4/3) * x^(3*4/3) =
3^4 * x^4 =
81*x^4

what degree of rotation about the origin will cause the triangle below to map onto itslef

Answers

Answer:

[tex]360^o[/tex]

Step-by-step explanation:

Given

The attached plot

Required

Which degree maps the triangle onto itself

The degrees that can map a point, line, or shape onto itself are:

[tex]\theta=360,720,1080,1440, 1800, 2160, 2520, 2880, 3240, 3600[/tex]

i.e. multiples of 360

Looking at the given options

[tex](a)\ 360^o[/tex] is correct because it can be found in the listed multiples

In other words, it will map point [tex](x,y)[/tex] to point [tex](x,y)[/tex]

I NEED HELP The measure of an angle is 74.6°. What is the measure of its supplementary angle?

Answers

Answer:

105.4º

Step-by-step explanation:

supplementary angles total 180º

180 - 74.6 = 105.4º

Robin has colored pants in a drawer that she wears for work. She has the following pants:

6 red pants
9 yellow pants
8 blue pants
2 orange pants
If Robin picks a pair of pants from the drawer without looking, the probability that she will pick a red or yellow pair of pants is

i need help asap pls anyone i will be so thankful

Answers

Answer:

3/5 times or 60%

Step-by-step explanation:

Answer:

3/5 or 60%

Step-by-step explanation:

The total amount of pants are 6 + 9 + 8 + 2 = 25. The amount that are red or yellow are 9 + 6 = 15. The probability is 15/25, or 3/5, or 60%

Need some help on this

Answers

9514 1404 393

Answer:

  a. set 1: 29 minutes; set 2: 25 minutes

  b. set 1 is more challenging than set 2

Step-by-step explanation:

a. The mean is found by adding the times and dividing by the number of times. For set 1, that is ...

  (2×27 +2×28 +3×29 +2×30 +33)/10 = 290/10 = 29 . . . minutes

For set 2, that is ...

  (4x24 +4×25 +2×27)/10 = 250/10 = 25 . . . minutes

__

b. The mean of set 1 is higher, and the spread is wider, suggesting more students have more trouble with the problems of set 1. That is, ...

  set 1 is more challenging than set 2

Express the given repeating decimal as a quotient of integers. If possible, reduce to lowest terms.

Answers

Answer:

4

Step-by-step explanation:

may you help me with this question?

Answers

Step-by-step explanation:

OK so add the 66 and the square=90, so add 66 and 90 then subtract it from 180 and then you will get x

Step-by-step explanation:

On April 30, 1789, George Washington, standing on the balcony of Federal Hall on Wall Street in New York, took his oath of office as the first President of the United States.Examples of magnetic force is a compass, a motor, the magnets that hold stuff on the refrigerator, train tracks, and new roller coasters. All moving charges give rise to a magnetic field and the charges that move through its regions, experience a force.

PLEASEEEEEE IM BEGGING SOMEONE PLEASEEEEEEEE PLEAASEEEEEEEE PLEASEEEEEEEE I NEED HELPPPPP​

Answers

Answer: A. SAS

If we look at how the triangles are congruent, we have a side, an included angle, and another side. Therefore, these triangles are congruent by Side-Angle-Side. So we can say that MO is congruent to PR because the triangles are congruent by SAS.

Hope this helps!! :)

Came someone help me answer this one?

Answers

Answer:

Let x = ducks

Let y = goats

Equation 1: x+y=38

Equation 2: 2x+4y=90

Step-by-step explanation: (Work)

The question says two kinds of animals, so let x be "ducks" and y be "goats."

Number one equation: x+y=38

Number two equation: 2x+4y=90

Explanation:

The x+y=38 represents how many animals there will be if you add both the ducks and goats.

The 2x+4y=90 represents the legs of the animals, the 2x represents the 2 legs of the ducks and the 4y represents the 4 legs of the goats.

A cylinder has a height of 10 millimeters and a radius of 3 millimeters. What is its volume?
Use - 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

18312.5mm³

Step-by-step explanation:

Given parameters:

Height of cylinder  = 18mm

radius  = 18mm

Unknown:

Volume of the cylinder = ?

Solution:

The volume of cylinder is given as;

 Volume  = π r ² h

Insert the given parameters and solve;

 Volume  = 3.14 x 18² x 18

 Volume  = 18312.5mm³

Answer:

282.6

Step-by-step explanation:

volume= h*(pie*r^2)

3*3=9

9*pie=28.26

10*28.6=282.6

What is the area of figure below?

Answers

Answer:  141

===========================================

Work Shown:

A = area of trapezoid

A = height*(base1+base2)/2

A = 9*(16+10)/2

A = 9*26/2

A = 9*13

A = 117

---------

B = area of triangle

B = base*height/2

B = 6*8/2

B = 48/2

B = 24

----------

C = area of entire figure

C = A+B

C = 117+24

C = 141 square inches

We can write "sq in" or "in^2" as shorthand for "square inches".

Find 35% of a number is 70 find the number

Answers

Answer:

200.

Step-by-step explanation:

35% = 0.35 so

0.35x = 70

x = 70 / 0.35

= 200.

Answer:

200

Step-by-step explanation:

Let the number = x

35% of x = 70

35/100 * x = 70                      Multiply by 100

35x = 70 * 100

35x = 7000                           Divide by 35

x = 7000/35

x = 200

15,60,240,... Find the 6th term .

Answers

Answer:

61440

Step-by-step explanation:

15 x 4= 60

60 x 4= 240

240 x 4= 960

960 x 4= 3840

3840 x 4 = 15360

15360 x 4= 61440

The 6th term = 15360.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

the given sequence 15,60,240,...

1st trem = 15

common ratio = 4

so, 6th term = 15*  4^5

                   =15360

hence, The 6th term = 15360.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

Find the height of the pyramid.

Answers

Answer:

3yd

Step-by-step explanation:

use your brain

3yd I think let me know if is wrong

You are curious about the average number of yards Matthew Stafford throws for each game for the Detroit Lions. You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards. You want to create a 95% confidence interval for the true average number of yards per game he throws. What is the margin of error for this estimate

Answers

Answer:

The margin of error for this estimate is of 14.79 yards per game.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.093

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards.

This means that [tex]n = 20, s = 31.61[/tex]

What is the margin of error for this estimate?

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

[tex]M = 2.093\frac{31.61}{\sqrt{20}}[/tex]

[tex]M = 14.79[/tex]

The margin of error for this estimate is of 14.79 yards per game.

A shirt originally cost $15, but it was marked down 5%. How much does the shirt cost now? Don't forget the $ symbol.​

Answers

Answer:    $14.25

===============================================

Explanation:

There are two approaches we can take.

The first approach is finding the amount we save, which is 5% of 15 = 0.05*15 = 0.75 dollars or 75 cents.

So the new price is 15 - 0.75 = 14.25 dollars

----------------

The second approach is to think of it like this: If you save 5%, then you still have to pay the remaining 95% (the two percentages add to 100%).

95% of 15 = 0.95*15 = 14.25

This second approach is handy if you want to chain multiple discounts together. So let's say there's a special 10% off sale on top of the 5% discount. We would multiply by 0.90 to further discount by 10% and get to 0.90*0.95*15 = 12.825 = 12.83. It also works in reverse too and we could chain percent increases along with percent decreases.

11. How can you solve the system? Complete the
sentence
(3x + 3y = 9
-6x – 4y = -14
Multiply 3x + 3y = 9 by ?and add
it to -6x – 4y = -14.
X Х

Answers

Answer:

Multiply by 2.

Step-by-step explanation:

Given the following simultaneous equations;

3x + 3y = 9 ......equation 1

-6x – 4y = -14 ......equation 2

To solve the equation by elimination, we would multiply eqn 1 by 2;

6x + 6y = 18

-6x – 4y = -14

Adding them together, we have;

0x + 2y = 4

2y = 4

y = 4/2

y = 2

To find the value of x;

3x + 3y = 9

3x + 3(2) = 9

3x + 6 = 9

3x = 9 - 6

3x = 3

x = 3/3

x = 1

Therefore, to solve the system of equations, you will multiply 3x + 3y = 9 by 2 and add it to -6x – 4y = -14.

need help will give brainiest

Answers

Answer:

1) ∠M

2) MT, GT

3) ∠G

4) not enough information...because we are given two congruent sides but an angle that is not included.

5) SAS because two sides are congruent (including the one they share) and an included angle.

6) SSS because three sides are congruent (including the one they share).

increase 21 kobo by 35%​

Answers

Answer:

28.35

Step-by-step explanation:

you can use mathswatch or hegarty maths to help u

Which one
60in
84in
120in
168in

Answers

Answer:

84in

Step-by-step explanation:

Triangle Formula: 1/2bh

16*8=48*1/2 = 24

15*8= 120*1/2= 60

24+60= 84

84in because base x height/2 is the equation. 21 is the base, and 8 is the height. So you do 21x8 and get 168. Then do 168/2 and get 84in.

Keano and Emily are going to Europe to buy some shoes, they will need €1500. How many American Dollars will it take to get that much, knowing that the exchange rate of USD: EUR is €1: $1.14 *

Answers

Answer:

1710

Step-by-step explanation:

you will multiply 1500 euros by the exchange rate

The question is in the picture (:

Answers

Answer:

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

That’s answer is correct

please help me solve this

Answers

Answer:

x = 4.58

Step-by-step explanation:

5² = 2² + x²

x² = 5² - 2²

x² = 25 - 4

x = √21

× =4.58

3 to the fourth power +9

Answers

Answer:

81

Step-by-step explanation:

3*3=9

9*3=27

27*3=81

Answer:  90

Step-by-step explanation:

3 to the fourth power =  81

81 + 9 = 90

how to solve 36x-8y2 x is 3 y is -6

Answers

Use the same variables.
Multiply 36 by the variable for x (which equals 108) and multiply 8 x the value for y squared (which equals -288) and then subtract. To subtract, use the rule for when you subtract with a negative number. 108 - the reciprocal of -288 = 180

Find, if possible, exact solutions for the quadratic equation. 7x^2 =
-28x

Answers

Answer:

X = 0, -4

Step-by-step explanation:

Symbolab helped

urgent..
not explanation just answer plzz

Answers

Answer:

D 1

Step-by-step explanation:

Question 3 (1 point)
Find the value of x for the right triangle.
15
30°
Х

Answers

Answer:

x = 8.7

Step-by-step explanation:

Reference angle = 30°

Opposite side length = x

Adjacent side length = 15

Apply trigonometric function, TOA:

Tan 30° = Opp/Adj

Plug in the values

Tan 30° = x/15

Multiply both sides by 15

15*Tan 30° = x

8.66025404 = x

x = 8.7 (nearest tenth)

in 2007 the poverty threshold for a family of four two of whom were related children was $21027 at the same time the poverty threshold for a family of four three of whom were related children was 21100 for each of the preceding years the difference between these two thresholds was less than $100 what is the conclusion you can draw from this

Answers

Answer:

MINIMUM WAGE does not increase much over time

Step-by-step explanation:

Based on the information given the conclusion you can draw from this is that MINIMUM WAGE DOES NOT INCREASE OR TEND TO GO UP MUCH OVER TIME Since the MINIMUM WAGES of the poverty threshold of whom TWO were related children was the amount of $21,027 and the poverty threshold of whom THREE were related children was the amount of $21,100 indicating that the minimum wages only increase from $21,027 to $21,100 given us the amount of $73 ($21,027 -$21,100) which is less than the amount of $100 as the difference between these TWO THRESHOLDS for each of the preceeding year.

At the city museum, child admission is $6.20 and adult admission is $9.90 . On Monday, three times as many adult tickets as child tickets were sold, for a total sales of $1436.00 . How many child tickets were sold that day?

Answers

Can you please delete this. I have answered it wrong. Thanks

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