During a trip, a driver travelled a distance of 80km at an average speed of 60km/hr.He then changed his speed and travelled the remaining 20km of his journey at 30km/hr. What was the drivers average speed for the entire journey?
Show all working!!​

Answers

Answer 1

Answer:

50 km/hr

Step-by-step explanation:

D = RT

Time for first part of trip = 80/60 = 4/3 hr.

Time for second part of trip = 20/30 = 2/3 hr.

total time for entire trip = 4/3 + 2/3 = 6/3 = 2 hr.

Total distance = 100 km

Average rate of speed for entire trip = 100/2 = 50 km/hr


Related Questions

4b^2 +8b + 7 = 4

show your work I already have the answer!!

Answers

Answer:

(-.5,0) and (-1.5,0)

or b= -.5

and b= -1.5

Step-by-step explanation:

First we want one side of the equation to equal 0

we have

4b²+8b+3=0

using the quadratic formula we have

(-b±√(b²-4*a*c))/2a

(-8±√(8²-4*4*3))/2*4

(-8±√(16))/8

(-8±4)/8

now we evaulate when ± is addition

(-8+4)/8

-4/8

-.5

and evaulate once more when the ± is subtraction

(-8-4)/8

-12/8

-1.5

Therefore the two solutions are (-.5,0) and (-1.5,0)

Answer:

Step-by-step explanation:

step one - Move terms to the left side

(4b^2 + 8b + 7 = 4)

(4b^2 + 8b + 7 - 4 = 0)

step dose - Subtract the numbers

(4b^2 + 8b + 3 = 0)

step три - Use the sum-product pattern

(4b^2 + 6b + 2b + 3 = 0)

What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of
10ft, and a length of 16ft?

Answers

Answer:

2,720 ft³

Step-by-step explanation:

17x10x16 = 2,720

helppppppppp meeeeeeeeeee

Answers

Answer:

68 in^2

Step-by-step explanation:

Area of two trapezoids:

(7+3)5 = 50

Area of two squares:

2(3x3) = 2(9) = 18

50 + 18 = 68

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

68

Step-by-step explanation:

3x3=9 (top square)

3x3=9 (bottom square)

(1/2) (5) (2) = 5 (triangle 1)

(1/2) (5) (2) = 5 (triangle 2)

(1/2) (5) (2) = 5 (triangle 3)

(1/2) (5) (2) = 5 (triangle 4)

10 x 3 = 30 (middle rectangle)

9+9+5+5+5+5+30=68

The histogram displays different numbers of days that customers rented a car. Which interval represents the most common number of days customers rented a car

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the histogram is not attached.

However, the solution to your question is to select the interval with the highest frequency

Take for instance, after getting readings from the histogram, yiu have:

1 - 10: 8

11 - 20: 5

21 - 30: 11

31 - 40: 2

And so on.......

Interval 11 - 20 will represent the required interval because it has the highest frequency.

Find the circumference and area of the circle. Use 3.14 for π. Round to the nearest hundredth if necessary.

Answers

Answer:

2 x 3.14 x 13 = 81.64 m is your circumference

13^2 x 3.14

169 x 3.14 = 530.66 m^2 is your area

A circle with its dimensions, in centimeters (cm), is shown.
What is the area, in square centimeters, of the circie?

Answers

Answer:

50.27

Step-by-step explanation:

The area of the rectangle is 65 yd^2,and the length of the rectangle is 3 yd less than twice the width. Find the dimensions of the rectangle

Answers

Answer: Length = 10cm

Width = 6.5cm

Step-by-step explanation:

Let the width of the rectangle be represented by x.

Therefore, the length of the rectangle will be: = (2 × x) - 3 = 2x - 3

Therefore area of a rectangle = length × width

x(2x - 3) = 65

2x² - 3x = 65

2x² - 3x - 65 = 0

2x² + 10x - 13x - 65 = 0

2x(x + 5) - 13(x + 5) = 0

(2x - 13)(x + 5) = 0

2x - 13 = 0

2x = 13

x = 13/2

x = 6.5

Width = 6.5cm

Length = 2x - 3

= 2(6.5) - 3

= 13 - 3

= 10cm

Therefore, the length of the rectangle is 10cm and the width is 6.5cm.

Laura lleno su pecera hasta la mitad 40 cm de altura 60 cm de ancho 20 cm dekargo cuanto espacio ocupa la pecera

Answers

Answer:

La pecera ocupa 48.000 centímetros cúbicos de espacio.

Step-by-step explanation:

Dado que Laura lleno su pecera hasta la mitad, y la misma mide 40 cm de altura, 60 cm de ancho y 20 cm de largo, para determinar cuánto espacio ocupa la pecera se debe realizar el siguiente cálculo, sabiendo que el volumen de un prisma rectangular surge de multiplicar su altura por su longitud y su anchura:

40 x 60 x 20 = X

2400 x 20 = X

48000 = X

Por lo tanto, la pecera ocupa 48.000 centímetros cúbicos de espacio.

Can you help on this problem
r + s² at r = 4, s = 1
show work plz
NO LINKS

Answers

Answer:

5

Step-by-step explanation:

Given Question:

[tex]r + {s}^{2} [/tex]

Given values -

r = 4 , s = 1

Therefore putting their values in the question,

[tex]4 + {1}^{2} [/tex]

= 4 + 1

= 5 (Ans)

3 feet
4 feet
inches
6 inches
Is Inches
What is the volume, in cubic feet, of the
cement used to make the steps? Show or
explain all of the steps you used to determine
your answer.

Answers

Answer: 12 for the main square

Step-by-step explanation:

take the 4 and the 3 and multiply it, makes 12. you see how each stair is 6 inches and there is 3 full steps which makes it 1.50 feet. 12 x 1.50 is 18. that makes your main square. I'm sorry but I cant really help you with the steps but that was also confusing to me.

Jeffrey's recipe for oatmeal muffins calls for 2 1/4 cups of oatmeal and makes two dozen muffins. If he makes 1 1/2 dozen muffins for a club meeting, how much oatmeal will he use?

Answers

Answer:

1 1/8 cups of oatmeal b/c 2 1/4 ÷ 2 = 1 1/8 ( one and one eighth)

Step-by-step explanation:

If its not 1 1/8 then its 3 3/8 (i saw that answer on quizziz)

Select all the sets of conditions that will create only one unique triangle.

Answers

You have to post a picture

I HAVE A MATH TEST PLZ HELP I'M GIVING OUT 50 POINTS PLZ

S.O.S I HAVE MATH

Answers

Answer:

Graph included as picture

Step-by-step explanation:

To solve this, plot the given points on the graph

Draw a line through them.

Now select two of those values and we'll find the rate of change.

We'll be using (1,-1) and (3,3)

To find rate of change we will be using the formula: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

[tex]y_{2} = 3\\y_{1} =-1\\x_{2} = 3\\x_{1} = 1[/tex]

[tex]\frac{3-(-1)}{3-1} = \frac{4}{2} = 2[/tex]

So the rate of change is 2

You will use this rate of change for your other function because they both have the same rate of change

Since we have the rate of change, we can create the slope intercept form formula: y = mx +b

Just substitute for the variables we know

m = rate of change/slope = 2

b = y-intercept = -3

y = 2x + -3

[If you connected all the points in your graph, that's how you found the y-intercept]

Now we have to create the formula for the second function.

We know it will have that same slope of 2

so we have y = 2x + b

To solve for b we can plug in the values we do have which would be (x,y) of (3,6)

6 = 2(3) + b

Now solve

6 = 6 + b

6 (-6) = 6 (-6) + b

0 = b

b = 0

This mean that the y-intercept will be on (0,0)

Plot that point

Now we finish the formula

y = 2x + 0

Connect the dots, make sure the line continues on both of them past the dots and now you have your graph!

I've included a picture of the graph for your reference. I hope this helps, don't be afraid to reach out with further questions!

Questions a-f in picture fast please with explaination for work

Answers

Just download Symbolab on your android or iPhone and you’ll get the answer your looking for.

help me please i need to finish this today

Answers

Answer: I think it is B

Step-by-step explanation:

Hii pretty human, could pls help meeeee :((((((
The local fair charges a flat fee for admission plus an additional cost for ride tickets. Last year, Imran purchased 10
tickets and spent a total of $20. His friend, Anton purchased 21 tickets and spent a total of $36.50 at the fair. The
relationship between the # of tickets and total spent is linear. Algebraically determine the following:
a) The price per ticket.

b) The admission fee.

Answers

i'm really good at all kinds of math, but this doesn't make any sense.

Answer:

a.the price per ticket?

¿cuanto suman los angulos interiores de un hexagono? Escribe solo el numero que corresponda a la cantidad, sin el simbolo de grados

Answers

Answer:

La suma de los ángulos interiores de un hexágono regular es 720°

Step-by-step explanation:

Asumamos que el hexágono presentado en el enunciado sea regular, el cual es formado por seis triángulos equiláteros, Un ángulo interno del hexágono está formado dos ángulos laterales y vecinos de dos triángulos equiláteros, es decir, dos veces 60°, o sea, 120°. Si el hexágono regular tiene seis ángulos internos de igual medida, entonces la suma de los ángulos interiores es 720°.

Use Pythagorean theorem to solve the following right triangles, put your answer in simplest radical form:

Answers

Answer:

Step-by-step explanation:I found the answer on this web[tex]^{}[/tex]site. It seems correct! Link Below!ly/3fcEdSx

bit.[tex]^{}[/tex]

Find the area of the wrestling mat.

Answers

Answer:

804.25

Step-by-step explanation:

The area of a circle = pi(r)^2

Given the diameter, we can find the radius by dividing the diameter in half.

r=16

pi(16)^2 = 804.25

Answer:

803.84 OR 256 pi

Step-by-step explanation:

Ok!

Step 1:

The area of a circle is Pir^2. (Sorry it’s pi r squared, I don’t have the pi symbol or the exponent function on my iPad.)

R is radius. Remember, radius is half the diameter.

32/2=16.

Step 2:

Do 16^2.

You should get 256.

Step 3:

Multiply 256 by Pi. Pi is 3.14. You should get 803.84.

Step 4:

803.84 should be the answer, I THINK (not sure) you can also write your answer as 256 pi. Depends on what your teacher wants. Hope this helps! Next time you can search up how to find the area of a circle, there are lots are tutorials!

HELP ASAP. BEING TIMED AND WILL GIVE BRAINLIEST!!!

Draw and upload a box plot representing the following data set: 22,35,18,30,37,20,40,18,38,38,23,19,27,31,34

Answers

Answer:

hope this helps you out :)

What is a formula for the nth term of the given sequence ? 10,-20,40...

Answers

The answer is c bro


if u need the solution i will give it to u

Complete the equations below. 8.8 \div 4 =8.8÷4=8, point, 8, divided by, 4, equals \text{ tenths}\div 4 tenths÷4start text, space, t, e, n, t, h, s, end text, divided by, 4 8.8 \div 4 =8.8÷4=8, point, 8, divided by, 4, equals \text{ tenths} tenthsstart text, space, t, e, n, t, h, s, end text 8.8 \div 4 =8.8÷4=8, point, 8, divided by, 4, equals

Answers

Answer: first one is 88 tenths, next one is 22 tenths, and last one is 2.2    

Step-by-step explanation: i just pressed get help in khan academy ha ha,

Find the missing measurement.
Round your answer to the nearest tenth.
4.9 cm
10 cm
? cm
9.9 cm
Area = 66.6 cm2
12 cm
7.2 cm
10.6 cm
9cm

Answers

Answer:

22

Step-by-step explanation:


Asif and Ben share $2100 in the ratio Asif: Ben = 3:7.
Work out how much Asif receives.
$2100

Answers

Answer:

$630 for Asif

Step-by-step explanation:

Asif gets 3/10ths

So

2100 x 3/10 =  $630 for Asif

If the discriminant of an equation is 10, then the roots are
A) real, rational, and unequal
B) real, irrational, and unequal
C) real, rational, and equal
D) imaginary

Answers

Answer:

b

Step-by-step explanation:

Since the given discriminant is 10, hence the roots will be real, irrational, and unequal

Discriminant of an equation

The discriminant is used to determine the nature of the roots of a quadratic equation. The formula for finding the discriminant is expressed as:

D = b^2 - 4ac

If D > 0, the nature of the roots are real, irrational, and unequal If D <  0, the nature of the roots are imaginary

Since the given discriminant is 10, hence the roots will be real, irrational, and unequal

Learn more on discriminant here: https://brainly.com/question/24730520

PLSSSSS HELPPPPP REWARD BRAINLEISTTT

Answers

ANSWER:

number 1 is D, it moves to the right 4 times

number 2 is B, its a vertical stretch of 2

find the volume of the irregular figure

Answers

Answer:

V = 672cm^3

Step-by-step explanation:

V of irregular figure = lwh + lwh

V = 7(3)(2) + 10(7)(9)

V = 42 + 630

V = 672cm^3

i really don't get it

Answers

Answer:

D

Step-by-step explanation:

I don't know how to do it I used an app

The answer will be D hope this helped

Pretty Petals flower shop is having a 20% off sale on carnation flower arrangements. Beth has ordered a boquet that is originally $24.56. What is the sale price?
Please answer seriouly if you dont i will report

Answers

Answer:

19.648

Step-by-step explanation:

because 24.56 / 5 = 4.912

4.912*4=19.648

Raylin went to the park with her friends and found a soccer ball. She picked up the soccer ball and kicked it as high as she could. The path of the ball can be represented by h= -16t2 +27t+3

What is the maximum height of the soccer ball? _______________________

How long will it take the ball to reach the ground?

Answers

Answer:

The maximum height is: [tex]h(t_{max})=14.39 \: u[/tex]  

The ball reaches the ground in 1.79 s.

Step-by-step explanation:

We need to take the derivative and equal to zero to find the time at the maximum height.

[tex]h(t)=-16t^{2} +27t+3[/tex] (1)

[tex]\frac{dh(t)}{dt}=-32t +27=0[/tex]

[tex]t_{max} =\frac{27}{32}[/tex]

[tex]t_{max} =0.84\: u[/tex]

Now, we just need to put t(max) into equation (1) to find h(max)

[tex]h(t_{max})=-16(0.84)^{2} +27(0.84)+3[/tex]

[tex]h(t_{max})=-16(0.84)^{2} +27(0.84)+3[/tex]

[tex]h(t_{max})=14.39 \u[/tex]  

If we want to get the time when the ball reaches the ground we just need to equal h(t) to zero.

[tex]0=-16t^{2} +27t+3[/tex]

Let's solve this quadratic equation.

We will get two solutions and we must choose the positive value.

t1 = 1.79 u

t2 = -0.10 u

Therefore, the ball reaches the ground in 1.79 u.

I hope it helps you!    

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