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

simplify 12a^7b^5/16a^2b^2

Answers

Answer:

[tex]\frac{12a^7b^5}{16a^2b^2}=\frac{3}{4} a^5b^3[/tex]

What is the midpoint of the segment shown below?

Answers

Answer:

(1, -3/2)

Step-by-step explanation:

The x coordinate is the same for both endpoints so the x coordinate for the midpoint is 1

The y coordinate for the midpoint is found by adding the two y coordinates and dividing by 2

(2+-5)/2 = -3/2

The midpoint is

(1, -3/2)

Answer:

The answer is D

Step-by-step explanation:

plz hurry and answer i will give brainliest

what is 2*2+6/2*3

Answers

Answer:

This would equal 13.

2x2=4, 6/2=3, 3x3=9, 9+4=13

If you expand and simplify (2x+3)(x+4)

Answers

Answer:

The answer is 2x² + 11x + 12.

Step-by-step explanation:

You have apply Distributive Law,

[tex]a(m + n) = am + an[/tex]

So for this question :

[tex](2x + 3)(x + 4)[/tex]

[tex] = 2x(x) + 2x(4) + 3(x) + 3(4)[/tex]

[tex] = 2 {x}^{2} + 8x + 3x + 12[/tex]

[tex] = 2 {x}^{2} + 11x + 12[/tex]

[tex](2x + 3)(x + 4) \\ = 2x(x + 4) + 3(x + 4) \\ = 2x \times x + 2x \times 4 + 3 \times x + 3 \times 4 \\ = {2x}^{2} + 8x + 3x + 12 \\ = {2x}^{2} + 11x + 12 \\ hope \: it \: helps[/tex]

Solve for x. Assume that line which appear to be diameters are actual diameters.

Answers

Answer:

x = 8

Step-by-step explanation:

The angle above the 6x-8 = 180 -140 = 40

The angle on the opposite side is 40 degrees as well because they are vertical angles

6x-8 = 40 degrees

Add 8 to each side

6x= 48

Divide by 6

6x/6 = 48/6

x = 8

what is the c value?
answer in x= form

Answers

x form =-1+√21,-1-√21

if f(x) =5x-2 and g(x) = 2x +1 find(f+g)(x)

Answers

Answer & Step-by-step explanation:

When we see (f + g)(x), it means that we are going to be adding f(x) to g(x).

f(x) = 5x - 2

g(x) = 2x + 1

(f + g)(x) = (5x - 2) + (2x + 1)

Combine like terms.

(f + g)(x) = 7x - 1

So, (f + g)(x) equals 7x - 1

Predecessor and successor of 999​

Answers

Can u give me an example of the problem

A 350 m cable is attached to the top of the tower. The angle of elevation to the top of the tower is 60. How high is the tower in meters

Answers

Answer:

303

Step-by-step explanation:

sin 60 = x / 350

x = 350(sin60) = 303.1

The price of a gallon milk was $2.65 the price rose why dollars after the last hurricane then the price dropped $.15 and later Rosie came by five cents which expression represents the current price of milk

Answers

Answer:

p =  y + 2.55

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

The price of a gallon of milk was $2.65. The price rose y dollars after the last hurricane. Then the price dropped $0.15 and later rose again by $0.05. Which expression represents the current price of milk

My answer:

Let p is the price of milk

Given the information:

Stage 1: The price of a gallon milk was $2.65

<=> p = 2.65  

Stage 2: rose y dollar

<=> p = 2.65   + y

Stage 3:  price dropped $.15

<=> p =  2.65   + y  - 0.15

Stage 4: rose again by $0.05

<=> p = 2.65  + y  - 0.15  + 0.05

<=> p =  y + 2.55

Hope it will find you well.

What is d, the common difference, in the arithmetic sequence 100, 98, 96, 94, 92, ...?
-1
Ο 2
Ο Ο Ο Ο.
-2
Ο 100

Answers

Answer:

-2

Step-by-step explanation:

If (x - 3) represents the side of a cube, what is the
polynomial that represents its volume?​

Answers

Answer:

x³ - 9x² + 27x - 27

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( s is the measure of the side ) , thus

V = (x - 3)³

   = (x - 3)(x - 3)(x - 3) ← expand the second/ third factors using FOIL

   = (x - 3)(x² - 6x + 9) ← distribute

   = x³ - 6x² + 9x - 3x² + 18x - 27 ← collect like terms

   = x³ - 9x² + 27x - 27

a 4cm by 6cm rectangle sits inside a circle with a radius of 11 cm what is the shaded region

Answers

Answer:

355.94 cm2

Step-by-step explanation:

if it is the area of the shaded part, you have to find the area of rectangle and the area of the circle, then subtract the rectangle's area from the circle's.

area of circle = 3.14( i used this π because the radius is not divisible by 7) × 11 × 11 = 379.94.

area of rectangle = 6 × 4 = 24cm

379.94 - 24.00 = 355.94cm2.

Which of the following statements is/are true regarding the figure above?

Check all that apply.

A. It is a one-dimensional object.
B. It is a line segment.
C. It is a zero-dimensional object.
D. It is a point.​

Answers

B. It is a line segment.

How can a triangular prism have a greater volume than a rectangular prism?

Answers

Answer:

If the triangular prism is bigger than the rectangular prism, it will have a greater volume. There are also many other reasons listed below:

Possible reasons:

If the triangular prism is bigger than the rectangular prism, it will have a greater volumeThe rectangular prism could have less width than the triangular prismThe rectangular prism could have less depth than the triangular prismThe rectangular prism could have less length than the triangular prism

Please mark Brainliest if correct.

Sorry if it is not correct.

The volume of a triangular prism is less than a rectangular prism with the same size base. A painter would need to know the surface area hope it helps

Please help! select the correct answer

Answers

Answer:

the answer is show me your kitty cat

Step-by-step explanation:

During the 2010 baseball​ season, the number of wins for three teams was three consecutive integers. Of these three​ teams, the first team had the most wins. The last team had the least wins. The total number of wins by these three teams was 252. How many wins did each team have in the 2010​ season?

Answers

Answer: 83,84 and 85

Step-by-step explanation:

Let the number of win for the teams be x, x+1 and x+2 respectively. From the question, we are told that the total number of wins by these three teams was 252 for the 2010​ season. Therefore,

x+x+1+x+2 = 252

3x+3 = 252

3x = 252 - 3

3x = 249

x = 249/3

x = 83

This means that the team with least wins has 83 while the second team has 84 and the team with most wins has 85.

Matías compró un cuarto kilogramo de jamón y lo utilizó para hacer tres tortas así No sobró y a cada torta le puso la misma cantidad de jamón cuánto le tocó a cada torta

Answers

Answer:

The amount of ham in each cake = 1/12 kg

Question:

Matías bought a quarter kilogram of ham and used it to make three cakes like that. There was no leftover and he put the same amount of ham in each cake, how much he touched in each cake.

Step-by-step explanation:

Matías bought = 1/4 kilogram of ham

1/4 kilogram of ham = 3 cakes

There was no remainder

the same amount of ham is in each cake.

To find the amount of ham in each cake, we need to know the fraction of ham in each cake.

Since 3cakes = 1/4kg

1cake = (1/4kg×1cake)/3cakes

= 1/4kg ÷ 3 = 1/4 × 1/3

The fraction of ham in each cake = 1/12

The amount of ham in each cake = 1/12 kg

State the solution
5x-y=14 and x+3y=-10

Answers

Answer:

x = 2, y = - 4

Step-by-step explanation

5x-y=14

x+3y= - 10

x = - 10 - 3y

5(- 10 - 3y) - y = 14

- 50 - 15y - y = 14

-16y = 64

y = - 4

x = -10 - 3y = - 10 - 3*(- 4) = - 10 + 12 = 2

x = 2

Using the quadratic formula to solve 2x2 = 4x – 7, what are the values of x? 2 plus-or-minus StartRoot 10 EndRoot i 1 plus-or-minus StartRoot 10 EndRoot i StartFraction 2 plus-or-minus StartRoot 10 EndRoot i Over 2 EndFraction 1 plus-or-minus StartRoot 5 EndRoot i

Answers

Answer:

[tex]x = 1 +/- \frac{i\sqrt{10} }{2}[/tex]

Step-by-step explanation:

The equation given is:

[tex]2x^2 = 4x - 7\\\\2x^2 - 4x + 7 = 0[/tex]

Using quadratic formula:

[tex]x = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a}[/tex]

From the question:

a = 2, b = -4, c = 7

Therefore:

[tex]x = \frac{4 +/- \sqrt{(-4)^2 - 4 * 2 * 7} }{2 * 2}\\\\x = \frac{4 +/- \sqrt{(16 - 56)} }{4}\\\\x = \frac{4 +/- \sqrt{-40} }{4}\\[/tex]

=> [tex]x = 1 +/- \frac{i\sqrt{10} }{2}[/tex]

The solution of given quadratic equation is given as   [tex]x = 1 \pm i\dfrac{\sqrt{10}}{2}[/tex]

Given the quadratic equation:

[tex]2x^2 = 4x -7[/tex]

Formula for finding roots of quadratic equation [tex]ax^2 + bx + c = 0[/tex] is given by:

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} \\[/tex]

Here, we get a = 2, b = -4, and c = 7.

Thus, the roots can be found as:

[tex]x = \dfrac{4 \pm \sqrt{16 - 56}}{4} \\\\x = \dfrac{4 \pm \sqrt{-40}}{4} \\\\x = \dfrac{4 \pm 2i\sqrt{10}}{4} \\\\\\x = 1 \pm i\dfrac{\sqrt{10}}{2}[/tex]

Thus, the solution of the given quadratic equation is given as  [tex]x = 1 \pm i\dfrac{\sqrt{10}}{2}[/tex].

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Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin. Devin’s friend Andy lives 7 blocks east and 2 block north of Devin. How far do Ryan and Andy live from each other?

Answers

Answer:

Answer:

Ryan and Andy live 11.4 blocks from each other.

Step-by-step explanation:Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin.Position of Ryan on coordinate system: 2 blocks west (2 unit left from origin) = -2 5 blocks south (5 unit down) = -5Coordinate of Ryan: (-2,-5)Devin’s friend Andy lives 7 blocks east and 2 block north of Devin. Position of Andy on coordinate system: 7 blocks east (7 unit right ) = 7 2 block north (2 unit up) = 2Coordinate of Andy: (7,2)We need to find the distance of Ryan and Andy.

Answer:

C.) 11.4

Step-by-step explanation:

Just took the test on Edge 2020

I need to match each one to each other

Answers

Answer

speed : metres per second (a)

perimeter : meters (b)

volume : cubic centimetres (d)

area : square metres (c)

20% of a number is 58

Answers

Answer:

290

Step-by-step explanation:

The reason this is the answer is because if you divide 100% by 20% it will give you 5% so then you have to multiply 58 times 20 which will give you 290.

Answer:

290

Step-by-step explanation:

How do I figure out how many combinations there are.

Answers

Answer:

multiplying and dividing

Step-by-step explanation:

Can someone please help me

Answers

Answer:

1) D

2) B

3) A

4) D

Step-by-step Explanation:

1) 1,300,000

= 1.3 × 10⁶

2) 0.052

= 5.2 × 10⁻²

3) 4,500

= 4.5 × 10³

4) 0.00061

= 6.1 × 10⁻⁴

the mean of the data set {9, 5, y, 2, x } is twice the data set {8, x, 4, 1, 3}. What is (y-x)^2?​

Answers

Answer:

256

Step-by-step explanation:

To calculate the mean, we simply divide the sum of the values by the count.

For the first set, the mean is as follows;

(9 + 5 + 2 + y + x)/5 = (x + y + 16)/5

For the second set;

(8 + x + 4 + 1 + 3)/5 = (16 + x)/5

Since both are divided by 5, we can eliminate it

Mean of first set is twice the second

This means that;

x + y + 16 = 2(16 + x)

x + y + 16 = 32 + 2x

y = 32-16+2x-x

y = 16 + x

Now we want to calculate

(y-x)^2

substitute the value of y here

(16+x-x)^2

= 16^2 = 256

PLZ HLP MEEEEEEEEE the A's in the Similar Postulate stand for _________.

Answers

Answer:

Angle

Step-by-step explanation:

It stands for angle

Step by step step explanation

Can anyone help me solve this equation? 4b+11=39

Answers

The answer is b = 7


Step by step answer

A and B are two similar solids.
15 cm
10 cm
The volume of A is 400 cm.


Work out the volume of B.
Similarity - Area and Volume
View One Minute Version
Overview

Answers

Answer:

600cm3 the 3 is ment to be cubed

Step-by-step explanation:

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

Answers

Answer:

reflection of Δa about y=2 results in Δb

Step-by-step explanation:

The single transformation that maps triangle a onto triangle b is: Reflection about y=2

Triangle A should be reflected about y=2 to map it onto Triangle B.

Here, from the given figure we get,

Coordinates of the vertices of triangle (A) are A(1, 3), B(2, 3) and C(1, 5)

After transformation of triangle A, coordinates of the vertices A', B' and C' of the image triangle (B) are,

A'(1, 1), B'(2, 1) and C'(1, -1)

Lets choose point A to find the rule of transformation,

A(1, 3) → A'(1, 1)

Rule → (x, y) → (x, 2 - (y - 2)) or (x, y) → (x, 4 - y)

It shows triangle (A) has been reflected across a line y = 2.

Therefore, Triangle A should be reflected about y=2 to map it onto Triangle B.

To learn more on reflection click:

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#SPJ3

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