A boy rolls down a hill on a skateboard. At time = 4 seconds, that boy has rolled 6 meters from the top of the hill. At time = 7 seconds, the boy has rolled to a distance of 30 meters. What is his average speed?

Answers

Answer 1

Answer:

His average speed is 4.75 m/s

Step-by-step explanation:

Here, we are interested in calculating the average speed of the boy.

At time t = 4 seconds, total distance traveled = 6 meters

The average speed here is distance/time = 6/4 = 1.5 m/s

Now at time 30 7 seconds , he has rolled 30 meters

What this actually means is that for the next 3 seconds after the initial 4 seconds, he rolled a total distance of 30-6 = 24 meters. Hence, he rolled 24 meters in the next three seconds

So mathematically, his average speed for the second part of the rolling is 24/3 = 8 meters per second

Conclusively therefore , his average speed will be (1.5 + 8)/2 = 9.5/2 = 4.75 meters per second


Related Questions

I’m in need of help

Answers

Answer:

Step-by-step explanation:

9. (-2, 2) (4, 3)

  (3 - 2)/(4 + 2) = 1/6

10. (-2, 2) (3, 4)

     (4 - 2)/(3 + 2) = 2/5

11. (3 - 13)/(0 + 16)= -10/16= -5/8

12. (-19 - 0)/(7 + 12) = -19/19= -1

solve for a.

-6a = -18​

Answers

Answer:

A=3

Step-by-step explanation:

Step 1: Divide both sides by -6/

-6a/-6= -18/-6

a=3

heeeeelp Find the distance of AB if A (2, 6) and B (-5, 2).

Answers

Answer:

let A (2, 6) be (x1, y1)

B (-5, 2)  be (x2, y2)

distance AB =√[(x2 - x1)² + (y2 - y1)²]

                    √[(-7)²+ (-4)²]

                   √65

                   

What type of number is -1/3

Answers

Answer:

a rational number

Step-by-step explanation:

Rational number are numbers that can be written as a fraction where both the numerator and denominator are integers. This means that both the top and bottom of the fraction are whole numbers.

9. In City A, the temperature rises 9 from 8 A.M. to 9 A.M. Then the temperature drops 8 from 9 A.M. to 10 A.M. In City B, the temperature drops 5º from 8 A.M. to 9 A.M. Then the temperature drops 4º from 9 A.M. to 10 A.M.

a. What expression represents the change in temperature for City A?

b. What integer represents the change in temperature for City A?

c. What expression represents the change in temperature for City B?

d. What integer represents the change in temperature for City B?

e. Which city has the greater change in temperature from 8 A.M. to 10 A.M.? 10.​

Answers

The expression for temperature change in City A is 9 + (-8)

The amount the temperature changes for City A = 1°F

The expression for temperature change in City B is -1 + (-3) = -4°F

The amount the temperature changes for City B = -4°F

Calculations and Parameters

Based on the available data:

In City A, the temperature rise from 8 am to  9 am = 9°FIn City A, the temperature drop from 9 am to  10 am = 8°FIn City B, the temperature drop from 8 am to  9 am = 1°FIn City B, the temperature drop from 9 am to  10 am = 3°F

The expression for that represents the temperature change from 8 am to 10 am is, therefore;

For City A

The temperature change from 8 am to 10 am are

8 am to  9 am = +9°F9 am to  10 am = -8°F

Sum, change from 8 am to 10 am = 9 + (-8) = 1°F

For City B

The temperature change from 8 am to 10 am are

8 am to  9 am = -1°F9 am to  10 am = -3°F

Sum, change from 8 am to 10 am = -1 + (-3) = -4°F

Read more about temperature changes here:

https://brainly.com/question/17605947

#SPJ1

Points F, G and H are collinear. If GH = 16, what is FH?

Answers

Answer:

FH = 36 units

Step-by-step explanation:

Points F, G and H are collinear.

Therefore, by joining segments FG and GH we get a segment FH.

FH = FG + GH

By substituting the values of the segments given in the question,

FH = (3x - 1) + (2x + 2)

     = 5x + 1

Since, GH = 16

2x + 2 = 16

2x = 14

x = 7

Therefore, FH = (5x + 1)

                       = 35 + 1

                       = 36 units

Measure of segment FH = 36 units.

what is the value of x​

Answers

Answer:

[tex]45[/tex] degrees

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

Thus, [tex]x+3x=180[/tex]

[tex]4x=180[/tex]

Divide both sides by 4:

[tex]\frac{4x}{x} =\frac{180}{4}[/tex]

[tex]x=45[/tex]

Emma took 1/4 of a whole cake to school with her. She gave equal pieces of the pie to 5 of her friends. What fraction of the whole cake did each friend get? Include if you used multiplication, division, subtraction or addition

Answers

Answer:

I think it's 1/20.  I used division

Step-by-step explanation:

Jake finished race at 24.53 Lacie finished the race at 18.44. What is the difference between Lacie's time and Jake's time.

Answers

Answer:

=6.09

Step-by-step explanation:

you will have to subtract lacie's amount from Jake's amount to find the answer

Find the distance between the points (-1,-7) and (8,-9). The answer must be a whole number or a fully simplified radical expression do not round up

Answers

Answer:

The answer is

[tex] \sqrt{85} \: \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-1,-7) and (8,-9)

The distance between them is

[tex]d = \sqrt{( { - 1 - 8})^{2} + ({ - 7 + 9})^{2} } \\ = \sqrt{ ({ - 9})^{2} + {2}^{2} } \\ = \sqrt{81 + 4} [/tex]

We have the final answer as

[tex] \sqrt{85} \: \: \: units[/tex]

Hope this helps you

Simon and Andrew see a speed limit sign that says 65 kilometers per hour. They decide to convert this speed limit to miles per hour. They each do the conversion separately and come up with different answers. Their work is shown. Who is correct? Explain.

Answers

Answer:

40.38912735 or about 40 miles per hour (rounded to the nearest whole number)

Step-by-step explanation:

1.) You want to convert kilometers per hour to miles per hour.

2.) There are 0.62137119 miles in 1 kilometer.

3.) Multiply 65 by 0.62137119

4.) That equals 40.38912735

5.) This answer can be rounded to 40 mph.

List four signs that you can replace the equal sign (=) with in a linear equation to produce a linear inequality.

Answers

Answer:

>;

 >__

Step-by-step explanation:

Find the volume of the triangular prism​

Answers

Answer:

your weight loss will help your child get through to your doctor if your child is a si and he's a doctor or 6or a child or an adult or an adult child and you can get in the way I want

someone help with my math please

Answers

Answer:

(-1, -3/2)

Step-by-step explanation:

For this question, we need to use the midpoint formula in order to find the midpoint between the 2 points given on the graph:The midpoint formula is: ((x1+x2)/2 , (y1+y2)/2)The two points that are given are (-3,1) and (1, -4)So:(x1+x2)/2 , (y1+y2)/2(-3+1)/2 , (1+(-4))/2(-2/2 , -3/2)(-1, -3/2)

A pen costs $1.50. It costs $0.25 less than a marker. If I paid for both supplies with $5.00, what would be my change?

Answers

Answer:

tour change would me $1.75

13. A new CD costs $13.79, plus $0.97 in sales tax. How much do 3 new CDs cost? Explain how

you found your answer.

Answers

Answer:

the cost of the three new CDs is $44.28

Step-by-step explanation:

Here in this question, we are interested in calculating the cost of 3 new CDs cost.

From the question, we already know the cost of one. The cost of three would be 3 multiplied by the cost of one.

The cost of the three excluding the sales tax = $13.79 * 3 = $41.37

The sales tax for the three pieces = 3 * $0.97 = $2.91

The cost of the three CDs including the sales tax = $41.37 + $2.91 = $44.28

Please solve both step by step I'll mark you as brainliest

Answers

Answer:

5. -5x - 1

6. -x - 4

Step-by-step explanation:

5.

Distribute (get rid of parentheses):

-5x - 1

6.

Distribute (get rid of parentheses):

-x - 4

Answer:

5. -5x - (- 1)

6. -x - (- 4)

Step-by-step explanation:

-1(5x+1) distributed property

-5x - (- 1 )

-1(x+4) same do distributed property

-x - (-4)

2x + y - z=-7
5y- z=1
3z = 12
solve the 3x3 system

Answers

Answer:

Step-by-step explanation:

3z = 12

z = 4

5y - 4 = 1

5y = 5

y = 1

2x + 1 - 4 = -7

2x - 3 = -7

2x = -4

x = -2

(-2, 1, 4)

Convert this rational number
to its decimal form and round
to the nearest thousandth.
1/7

Answers

Answer:

0.143

Step-by-step explanation:

1) convert to decimal form: 0.142857

2) rounding to nearest thousandth (3rd decimal place)

3) number is higher than 5 so it rounds up to 0.143

How many terms are in the expression? 4x+3x-2y,3y?​

Answers

There are 4 terms. The 4 terms are 4x, 3x, -2y, and 3y. They’re the invidual expressions separated by a + or - sign

3.409 x 10^-3 In scientific notation.

Answers

Answer:

Since the exponent of the scientific notation is negative, move the decimal point 3 places to the left.

0.003409

combining like terms with negative coefficients
4x+5y-6xy-7x-8y-9xy?

Answers

-3x-3y-15xy .............

Two trucks leave a factory at the same time. One travels east at 60 miles per hour, and the other travels west at 30 miles per hour. In how many hours will they be 150 miles apart? A 1-2/3 hours B 2 hours C 2-1/2 hours D 5 hours ​

Answers

A 1-2/3 hours there will be

GEOMETRY HELP!!
Find the midpoint of AB

It’s Q right?

Answers

Yes the answer is Q.

Answer:yes it’s q

Step-by-step explanation:

simplify the following expressions ( use distributed property ) !

Answers

Answer:

2x + 2

Step-by-step explanation:

Simply distribute 2 to each of the terms (you multiply)

2(x + 1)

2x + 2

[tex]\huge\boxed{Hi!}[/tex]

The Distributive Property  states that

a(b+c)=ab+ac

Let's use this to solve our math problem:

2(x+1)=2x+2

This is our final answer.

[tex]\huge\boxed{Hope\:this\:helps!}[/tex]

[tex]\huge\bold{Good\:luck!}[/tex]

[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]

The Price of dried mango is $9 for every 3/4 pound.

what is the price per pound of the dried mango?

$_ per lb

Answers

Answer:

12

Step-by-step explanation:

9 ÷3 =3 ×4 that is how to do the problem

18 over 30 in its simplest form

Answers

Answer:

3/5

Step-by-step explanation:

18/ 30 can be simplified by diving it by 3

6/10 simplified again by 2

3/5

Answer: 3/5

Step-by-step explanation:

order the following from least to greatest PLZ I NEED HELP!!!!

Answers

Answer:

½, √0.28, 0.58

Step-by-step explanation:

you need to first change everything into decimals so, ½ = 0.5 , √ 0.28 = 0.53 and 0.58 remains the same. Now you can arrange them from least to greatest once they are in a common form.

Help please idk how to do this

Answers

I hope this helped and have a great day.

You need to times 2/3 twice

-2/-3 * -2/3

Find f(4) for the function f(x) = 3x2 + x - 6

Answers

Answer:

f(4) = 46

Step-by-step explanation:

[tex]f(x)=3x^2+x-6\\f(4)=3(4)^2+4-6\\f(4)=3(16)+4-6\\f(4)=48+4-6\\f(4)=52-6\\f(4)=46[/tex]

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