C. Courtney got a remote control car for her birthday. It is a metallic
purple with chrome wheels that are 1 1/2 inches in diameter. She said to
her friend, Dylan, “My remote control car goes faster than my mom's
car on the freeway.” “No way,” said Dylan. Courtney said, “I will prove it to
you.” Courtney measured off a distance of 115 inches. Dylan said, “Okay, I
will time how long it takes your car to travel that distance. I have a stopwatch
feature on my watch.” Courtney raced her remote control car over the
115-inch distance. Dylan said, “Wow, that only took 3.21 seconds. That seems
really fast.” “See, I told you,” said Courtney. “But really how fast is it going?”
answered Dylan. Determine the speed of Courtney's remote control car and
compare its speed to that of a regular car traveling on the freeway. Explain
how you found your solution. Why might the manufacturer get away with
advertising that the remote control car Travels Faster Than Life?


please help!!!!

Answers

Answer 1

Answer: No. the remote control car traveled 2 miles per hour whereas a car typically travels between 30 miles per hour and 60 miles per hour.

Step-by-step explanation:

[tex]\dfrac{115\ inches}{3.21\ seconds}\times \dfrac{1\ foot}{12\ inches}\times \dfrac{1\ mile}{5280\ feet}\times \dfrac{60\ seconds}{1\ minute}\times \dfrac{60\ minutes}{1\ hour}\\ \\\\=\dfrac{414,000\ miles}{203,385.6\ hours}\\\\\\=\dfrac{2.0\ miles}{1\ hour}[/tex]

Answer 2

Speed of Courtney's remote control car is: 2 mph

Courtney's remote control car is slower than an average freeway car  since averagely the speed of a car on the freeway is usually 60 mph.

Given that:

Distance covered by Courtney's car = 115 inches

Time taken to cover that distance = 3.21 seconds

Converting inches to miles and seconds to hours:

[tex]1 inch \approx 0.0000158 miles\\115 inches = 115 \times 0.000158 miles\\=\approx 0.00182 miles\\\\3.21 seconds = \dfrac{1}{3600} \times 3.21 \: hours\\= 0.00089 \: hours\\[/tex]

Thus speed of Courtney's car can be calculated as

[tex]Speed = \dfrac{distance}{time}\\\\= \dfrac{0.00182}{0.00089} mph\\\\= 2.089 mph \approx 2 mph[/tex]

Thus Speed of Courtney's car is approx 2 miles per hour whereas the average speed of a car on a freeway is about 60 miles per hour.

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Related Questions

I would really appreciate if someone help me I need help please help me thank you it’s geometry

Answers

Answer:

< 3 and < 5

Step-by-step explanation:

Others are not

Pls help me ASAP! Thanks a lot!

Answers

Hey! I’m pretty sure it’s B) 8

Answer:

E) 32

Step-by-step explanation:

Square sheet of paper is folded 4 times into half.

Holes in the paper = 2(4)(4)

= 32 Holes

P.S. Also did it practically

Find the midpoint of the line segment.

Could someone explain how to solve these aswell?

Answers

Answer:

(-2, -3)

Step-by-step explanation:

The middle of the point. It covers two blocks so find the middle.

Or you can use the midpoint formula

[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

(-2,-3)  because it is in the middle of the line segment, between the two marked points

PLS HELP will give brainliest
If a graph is symmetric with respect to the​ x-axis, then it cannot be symmetric with respect to the​ y-axis.
A. FALSE
B. TRUE

Answers

Answer:

False, it could be.

The answer to this question is true

4x+3=-10x+ 3 in simples form

Answers

Answer:

14x=0

Step-by-step explanation:

Answer

14x+3=3

add 10x to both sides

Need help with this please

Answers

Answer:

The third side is sqrt(77)

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

2^2 + b^2 = 9^2

4+ b^2 = 81

Subtract 4 from each side

b^2 = 81-4

b^2=77

Take the square root of each side

sqrt(b^2) = sqrt(77)

b = sqrt(77)

The third side is sqrt(77)

What’s the equation to (–5, –2), (–5, 7) ?

Answers

Answer:

x=-5

Step-by-step explanation:

Since the y value goes from -2 to -7 while the x value stays constant, no matter what y value you plug in x will be -5. Therefore, the equation of this line is x=-5. Hope this helps!

x = -5 is the correct answer.

What is 9^-53 × 9^37

Answers

Answer: 9⁵³ ₓ 9³⁷ = 9⁹⁰

Explanation: 53 + 37 = 90

So our answer: 9⁹⁰

what is the equation of the circle that is centred at the origin and passes through the point (-3,4)

Answers

Answer:

The correct answer is (x)² + (y)² = r².

Step-by-step explanation:

The standard equation for a circle is (x - h)² + (y - k)² = r². Since our circle is centered at the origin, or (0, 0), our values for h and k are simply 0 and 0, so there is no need to list these values within the equation.

Now, it is time to determine r, or the radius of the circle. The circle passes through the point (-3, 4), so (-3)² + (4)² = 25², so r = 25.

Therefore, your equation is x² + y² = 25.

Help
Two distinct number cubes are rolled together. Each number cube has sides numbered 1 through 6.

What is the probability that the outcome of the roll is an even sum or a sum that is a multiple of 3?



Enter your answer, in simplest fraction form, in the box.

Answers

Answer:

The probability is 2/3

Step-by-step explanation:

The first thing to write here is the sample space.

I have shown this in the attachment.

Kindly note that the number of expected outcome is 36

The outcome we are looking at is either an even sum or a multiple of 3

These are what i have circled in the addition results

The number of circles is 24

The probability is thus 24/36 = 2/3

What is the Q1 and Q3?
4,6,8,9,13,21,31

Answers

Answers: Q1 = 6Q3 = 21

The data is already sorted for us. If it wasn't, then you would have to write the values from smallest to largest.

The median is the middle most value 9 (in slot 4)

The median separates the data into two halves, which I'll call the lower and upper half

lower half  = {4,6,8}

upper half = {13,21,31}

The median of the lower half is 6, and this is the value of Q1.

The median of the upper half is 21. This is the value of Q3

Which number is irrational?
-4
2/9
8.26
11

Answers

Answer:

C. Square Root of 11

Edg 2020

Answer:

C

Step-by-step explanation:

edge 2020

Here are two similar rectangles. Work out the area of the larger rectangle

Answers

Answer:

take the picture please or give the measurements of the rectangles

Answer:

see attachment for measurements

Step-by-step explanation:

Find the term to term rules for the following sequence 2 6 18 54 162

Answers

Answer:

486

Step-by-step explanation:

Please help me with my question!!

Answers

[tex](5^3)^7[/tex]

[tex]5^{3 \times 7}[/tex]

[tex]5^{21}[/tex]

Answer:3*7=21 not 10

You have to multiply the number outside brackets with the inner number

Step-by-step explanation:

A brick weighs w
kg. Write an expression for the weight of 2 bricks

Answers

Answer:

2w

Step-by-step explanation:

weight of 1 brick = w

so to find the weight of 2, times it by 2, which leaves you with 2w

Describe fully the single transformation that maps triangle a onto triangle b

Answers

Answer:

reflection y=x

Step-by-step explanation:

The single transformation that maps triangle a onto triangle b is the reflection of y=x.

What is single transformation?

This is known to be the mix up or the combination of transformations that is said to be seen as one transformation.

Note that in the image attached, when reflection of y axis is said to be cast on the x - axis, one can see that triangle a can be maps onto triangle b and thus:

The single transformation that maps triangle a onto triangle b is the reflection of y=x.

Learn more about reflection from

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help me find AD in degrees

Answers

Answer:

43°

Step-by-step explanation:

In circle with center P, AB is diameter. Hence, [tex] \widehat{ACB} [/tex] is a semicircular arc.

[tex] \therefore \widehat{ACB}= 180\degree.... (1)\\

\because \widehat{ACB}= \widehat{AD} + \widehat{DC}+ \widehat{CB}.... (2)\\

From\: (1)\: \&\: (2)\\

\widehat{AD} + \widehat{DC}+ \widehat{CB} = 180\degree \\

\therefore (7x + 1)\degree + 90\degree + (9x-7)\degree = 180\degree \\

\therefore (16x - 6)\degree = 180\degree- 90\degree\\

\therefore (16x - 6)\degree = 90\degree\\

\therefore 16x - 6 = 90\\

\therefore 16x = 90 +6\\

\therefore 16x = 96\\\\

\therefore x = \frac{96}{16}\\\\

\huge \red {\boxed {\therefore x = 6}} \\

\therefore \widehat{AD} = (7x+1)\degree \\

\therefore \widehat{AD} = (7\times 6+1)\degree \\

\therefore \widehat{AD} = (42+1)\degree \\

\huge \orange {\boxed {\therefore \widehat{AD} = 43\degree}} \\

[/tex]

Share £15 in 2:3
Please help me put

Answers

2 ratio 3,so, 2+3=5
15/5=3 add and then division

Find the value of z and
simplify completely.

Answers

Answer:

z = 6√2 = 8.49

Step-by-step explanation:

In this question, we are to find the value of the length z.

Mathematically, using Pythagoras’s theorem we can do this.

The Pythagoras’ theorem states that the square of the length of the hypotenuse equals the sum of the length of the squares of the two other sides.

Kindly note that the hypotenuse is the side that faces the angle 90

These are the points needed to solve for z

Using Pythagoras,

z^2 = y^2 + 4^2

z^2 = y^2 + 16 •••••••(i)

x^2 + z^2 = 20^2

x^2 + z^2 = 400 •••••••••(ii)

z^2 + 16^2 = x^2. ••••••••(iii)

Substitute iii into ii

z^2 + 16^2 + z^2 = 400

2z^2 + 256 = 400

2z^2 = 400-256

2z^2 = 144

z^2 = 72

z = √(72)

z = 6√2

Answer:

4[tex]\sqrt{5}[/tex]

Step-by-step explanation:

A runner moves west with an initial velocity of 4 m/s. She accelerates 3 m/s2 for 30 seconds. The runner’s final velocity is m/s.

Answers

Answer:94m/s

Step-by-step explanation:

Using the formula:

v=u+at

Where v= final velocity (the unknown)

u= initial velocity (4m/s)

a= acceleration (3m/s)

t= time (30seconds)

v=4+(3*30)

= 4+90

= 94m/s

plz help!! i believe it's a but i'm not 100% sure

Answers

Answer:

its a

Step-by-step explanation:

Don’t second doubt yourself, you’re absolutely correct.

Write each polynomial in standard form. What is the name of the polynomial based on its degree and number of terms?
a. 3 + 5x − 4x2
b. 8x + x + 5 + x3

Answers

Answer:

Step-by-step explanation:

(a) 3 + 5x − 4x^2 should be written as −4x2 + 5x + 3.  This is a QUADRATIC function.

(b) 8x + x + 5 + x^3 should be re-written first as 9x + 5 + x^3 and then as

x^3 + 9x + 5.  This is a CUBING function.

i think of a number, take away 1 and multiply it by 3

Answers

Answer:

X-3, not sure. Try that.

Answer:

[tex]3(x - 1)[/tex]

Step-by-step explanation:

Thinked number = x

take away = -1

[tex]x - 1[/tex]

multiply it by 3

[tex]3(x - 1)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Please help ASAP! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.

If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]

Find the area of the following kite. Please help me

Answers

Answer:

56

Step-by-step explanation:

The larger half is 4*10=40

The smaller half is 4*4=16

40+16=56

The area of the given kite is 56 square units and it has two diagonals of lengths 14 and 8 units.

The are of kite is product of diagonals by two.

Area of kite = (Diagonal 1 × Diagonal 2)/2.

Diagonal 1= 10+4

=14 units.

Diagonal 2= 4+4

=8 units.

Now plug in these values in above formula:

Area of kite = (14×8)/2

=112/2

=56 square units.

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Jeremy is driving to his friends house that is 60 miles away from his home the scale on Jeremy's map is 1 1/2 inches equivalent to 9 miles how far is it on the map from jeremys house to his friends?

Answers

Answer:

The distance between their house on the map is 10 inches.

Step-by-step explanation:

In order to calculate the distance from Jeremy's friend house to his we can apply a rule of three in a way that 60 miles is related to "x" inches in the same proportion as "1 1/2" inches is related to 9 miles. Before applying that it'll be for the best if we convert the mixed fraction to a pure fraction as shown below:

[tex]d = 1\frac{1}{2} = 1 + \frac{1}{2} = \frac{2}{2} + \frac{1}{2} = \frac{3}{2}[/tex]

Creating the rule of three:

[tex]\frac{60}{9} \frac{\text{miles}}{\text{miles}} = \frac{x}{\frac{3}{2}} \frac{\text{inches}}{\text{inches}}\\\\9*x = \frac{60*3}{2}\\\\x = \frac{180}{18}\\\\x = 10 \text{ inches}[/tex]

The distance between their house on the map is 10 inches.

Work out the percentage change to 2 decimal places when a price of £189 is decreased to £150.

Answers

Answer:

The percentage change is -21%

Step-by-step explanation:

The percentage change can be expressed by the formula;

(new price -old price)/old price * 100%

New price = £150

old price = £189

Inputing these values in the formula, we have;

(150-189)/189 * 100%

-39/189 * 100%

= -20.63% and that is approximately -21%

ill give Brainliest!!

Answers

Answer:

A

Step-by-step explanation:

1st graph is the same for all choices.

3d graph is horizontal line y=50 or C(x) = 50.

It is A or B choices.

We have white circle , that means value of x is not included x > 6.

It is A.

We can check the 2d line. By continuing line we can see that y -int = 10, and we can see slope= rise/run = 5. Also, 2<x≤ 6.

Answer:

It's the first option.

Step-by-step explanation:

Note that the filled circles means that the value is included in the inequality  and the clear circle means it is not.

For the first 2 Gb  ( 0 to 2 inclusive) used,  the cost is $15.

Then for x > 2 up to and including x = 6 ( that is 6 Gb used)  it rises at a rate of 5 dollars per Gb + $10,  so its 5x + 10 for 2 < x <= 6.

Then the cost stays at $50.

PLEASE HELP ME WITH THIS IT'S TIMED I WILL GIVE BRAINLIEST-

1. A right triangle has side lengths 15 centimeters, 20 centimeters, and 25 centimeters. How can you use the Pythagorean Theorem to write an equation the describes how the side lengths are related?

2. How do you know that the geometric proof of the Pythagorean Theorem in question 1 can be applied to all right triangles?

Answers

Step-by-step explanation:

1)

In a right triangle longest side is hypotenuse and the remaining two sides represent the perpendicular legs.

Hence, from the given question it is obvious that 25 is hypotenuse and 20 and 15 are perpendicular legs.

Now, by Pythagorean theorem:

[tex] (one\: side) ^2 +(other \: side) ^2 = (hypotenuse) ^2

\\\\\therefore 20^2 +15^2 =25^2[/tex]

2)

Because all right triangles have one hypotenuse and two perpendicular legs.

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