Ahmad went on a bicycle tour. In the first two hours , he averaged 12 km/h; but in the next three hours he averaged 8 km/h;. A)Calculate the total distance covered b) , calculate his average speed for the whole journey

Answers

Answer 1

Answer: See explanation

Step-by-step explanation:

We are informed that Ahmad averaged 12 km/h in the first 2 hours. Total distance for the first 2 hours = 12km × 2 = 24km.

In the next three hours he averaged 8 km/h. The total distance for the next 3 hours = 8km × 3 = 24 km

A) Calculate the total distance covered.

This will be the distance covered for the 5 hours. This will be:

= 24km + 24km

B. Calculate his average speed for the whole journey.

This will be:

= Total distance covered / Total time taken

= 48km / 5

= 9.6 km/hour


Related Questions

PLEASE ANSWER HONESTLY (PLEASE BE HELPFULL I HAVE BEEN STUCK ON THIS PROBLEM) WILL MARK BRANIEST IF CORRECT. (no links my computer is slow and no ctrl c ctrol v if possible

Answers

Answer:

No

Step-by-step explanation:

For this triangle to be a right triangle the following has to happen:

a^2 + b^2 = c^2

a=3, b=9, c= 12

3^2+9^2 does not equal 12^2

9+81 = 90        12^2 = 144

90 does not equal 144 so is not a right triangle

Answer:

see explanation

Step-by-step explanation:

Using converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 12 , then 12² = 144

3² + 9² = 9 + 81 = 90 ≠ 144

Thus the triangle is not right.

Please help giving brainiest and 30 points

Answers

Answer:

94

Step-by-step explanation:

because it all adds up to 180 (i want brainliest)

Find the surface area of each figure. Round your answers to the nearest hundredth, if necessary

Answers

Answer

238π yd^2

Step-by-step explanation:

here's your solution

=> height of cylinder = 10 yd

=> radius of cylinder = 7 yd

=> formula to calculate surface area = 2πr(h + r)

=> putting the value of height and radius in formula

=> SA = 2*22/7*7(10+7)

=>. SA = 2*22*17

=> SA = 748 yd.sq

hope it helps

Solve the system by substitution.
y = 7x – 20
y = 2x

Answers

Answer:

x=4 y=8

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation

(-1/5) + 4/5 = x
^those are fractions btw. Plz answer.

Answers

Answer:

x= 3/5

Step-by-step explanation:

i hope this helps :)

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Answers

Answer:

376.99 cm^3 or 120π cm^3

Step-by-step explanation:

The volume of a cone is 1/3(B*h) where B is the base area and h is height.

The base of a cone is a circle.

Area of a circle=πr^2

Area of the circle=π6^2

Area of the circle=36π

Plug it into the formula for the volume:

V=1/3(36π*10)

V=1/3(360π)

V=120π

V=376.99

If this helped please consider giving brainliest.

Wayne types about 50 words per minute.A typical double spaced page contains 500 words.how long doe sit take Wayne to type 8 1/2 pages?

Answers

Answer:

Step-by-step explanation:

50t=500(8.5)

t=10(8.5)

t=85 minutes

Answer: 85 minutes

Step-by-step explanation:

First, find how many minutes it takes for Wayne to type a page containing 500 words. 500/50= 10 minutes

You then multiply that by 8

8(10)= 80 minutes to type 8 pages.

Now find how many words are in half a page.

500/2=250 words

Divide that by the amount of words Wayne can type per minute. 250/50= 5

Add that to the amount of minutes it took to type 8 pages. 85 minutes

Which is also 1 hour 25 minutes

multiplying decimals​

Answers

Answer:

Dividing decimals +×÷=

Answer:

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Divide: (-30x2 - 12x+18)+6

Answers

Answer: -30x^2 -12x + 24

Step-by-step explanation:

Need help with this. Find the value of each variable.

Answers

Answer:

Step-by-step explanation:

By applying sine rule in ΔACD,

cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

cos(30°) = [tex]\frac{CD}{AD}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{z}{24}[/tex]

z = [tex]8\sqrt{3}[/tex]

By applying cosine rule in ΔACD,

sin(30°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(30°) = [tex]\frac{AC}{CD}[/tex]

[tex]\frac{1}{2}=\frac{AC}{24}[/tex]

AC = 12

By applying tangent rule in ΔACB,

tan(45°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

1 = [tex]\frac{AC}{BC}[/tex]

y = 12

By applying sine rule in ΔACB,

sin(45°) = [tex]\frac{BC}{AB}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{y}{x}[/tex]

x = y(√2)

x = 12√2

6+6= (mod 4)
Determine what number the sun is congruent to in mod 4

Answers

Answer:

c gsudhdbxjxjsjsbhxidhsv susb

Who can help me out with this please??

Answers

Answer:

x = 11.8

Step-by-step explanation:

hypotenuse = 12

1 leg = 10 - 8 = 2

Formula:

a² + b² = c²

a² + 2² = 12²

a² + 4 = 144

a² = 144 - 4

a² = 140

[tex]\sqrt{a^2} =\sqrt{140}[/tex]

a = 11.8

Answer:

x = 11.8

Step-by-step explanation:

hypotenuse = 12

1 leg = 10 - 8 = 2

Formula:

a² + b² = c²

a² + 2² = 12²

a² + 4 = 144

a² = 144 - 4

a² = 140

I need help to know the volume

Answers

Answer:

167.55 ur welcom

Subtract -2x-10 from 10x^2+3.

Answers

Answer:

x=  10 −  129  i−1   ≈−0.1−1.135781669i

Step-by-step explanation:

(10x^2+3) - (-2x-10) = 10x^2+2x+13

URGENT
what is the surface area of this prism

Answers

Answer:

total surface area = 79.8 cm^2

Step-by-step explanation: open up the prism into nets, and it has a base of 3 and height of 2.6. do 1/2 times 3 times 2.6=3.9*2=7.8.  Then do 3(3*8)=72. 72+7.8=79.8. I believe this is the answer to the best of my ability, hope this helps.

Help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!! with (11)(−4) 12=

Answers

Answer:

you just multiply the values inside the parentheses. 11 x -4 x 12, so its -44 x 12, being -528

Step-by-step explanation:

What following number is in between 2/5 and 7/8?

15/16, 3/4, 3/8, 1/3

Answers

Answer:

Step-by-step explanation:

You need to give all the fractions a common denominator so you can compare the numerators.

The least common multiple of 5, 8, 16, 4, 3 is 240.

⅖ = 96/240

⅞ = 210/240

15/16 = 225/240

¾ = 180/240

⅜ = 90/240

⅓ = 80/240

The only numerator between 96 and 210 is 180.

180/240 = ¾

⅖ < ¾ < ⅞

help please
simplify the following using L'Hôpital's Rule:
[tex]\displaystyle\lim_{x\to 2}\frac{x^2+x-6}{x^2-4}[/tex]
[tex]\text{note:explanation is a must}[/tex]​

Answers

Answer:

[tex] \displaystyle \: \frac{5}{4} [/tex]

Step-by-step explanation:

we are given a expression

we are said to solve it using L'Hôpital's Rule

recall, L'Hôpital's Rule:

[tex] \displaystyle \lim _{x \to \: c}( \frac{f(x)}{g(x)} ) = \lim _{x \to \: c} \frac{f ^{'}(x) }{ {g}^{'}(x) } [/tex]

it is to say the ' means derivative

our given expression:

[tex]\displaystyle\lim_{ x\to 2}\frac{x^2+x-6}{x^2-4}[/tex]

let's apply L'Hôpital's Rule

[tex]\displaystyle\lim_{ x\to 2}\frac{ \dfrac{d}{dx} (x^2+x-6)}{ \dfrac{d}{dx} (x^2-4)}[/tex]

some formulas of derivative

[tex] \displaystyle \: \frac{d}{dx} {x}^{n} = {nx}^{n - 1} [/tex]

[tex] \displaystyle \: \frac{d}{dx} {x}^{} = 1[/tex]

[tex] \displaystyle \: \frac{d}{dx} {c}^{} = 0[/tex]

[tex] \sf \displaystyle \: \frac{d}{dx} {f}^{} (x) + {g}^{}(x) = {f}^{'} (x) + {g}^{'}(x)[/tex]

use sum derivative formula to simplify:

[tex]\displaystyle\lim_{ x\to 2}\frac{ \dfrac{d}{dx} (x^2)+ \dfrac{d}{dx} (x) + \dfrac{d}{dx}( -6)}{ \dfrac{d}{dx} (x^2) + \dfrac{d}{dx} (-4)}[/tex]

simplify using exponents using exponent derivative formula:

[tex]\displaystyle\lim_{ x\to 2}\frac{ 2x+ \dfrac{d}{dx} (x) + \dfrac{d}{dx}( -6)}{ 2x + \dfrac{d}{dx} (-4)}[/tex]

use variable derivative formula to simplify variable:

[tex]\displaystyle\lim_{ x\to 2}\frac{ 2x+ 1+ \dfrac{d}{dx}( -6)}{ 2x + \dfrac{d}{dx} (-4)}[/tex]

use constant derivative formula to simplify derivative:

[tex]\displaystyle\lim_{ x\to 2}\frac{ 2x+ 1+ 0}{ 2x + 0}[/tex]

simplify addition:

[tex]\displaystyle\lim_{ x\to 2}\frac{ 2x+ 1}{ 2x }[/tex]

since we are approaching x to 2

we can substitute 2 for x

[tex]\displaystyle\lim_{ x\to 2}\frac{ 2.2+ 1}{ 2.2 }[/tex]

simplify multiplication:

[tex]\displaystyle\frac{ 4+ 1}{ 4}[/tex]

simplify addition:

[tex] \displaystyle \: \frac{5}{4} [/tex]

hence,

[tex]\displaystyle\lim_{ x\to 2}\frac{ \dfrac{d}{dx} (x^2+x-6)}{ \dfrac{d}{dx} (x^2-4)} = \frac{5}{4} [/tex]

Answer:

5/4 is your answer hope it helps


a) What is the mean?
b) What is the median?
c) What is the mode?

Answers

Answer:

Mean- 5

median- 4

Mode- 2

Answer quickly! :)

Write an equation to represent the image!

Answers

Answer:

p+p+p = 1/2 or 3p=1/2

Step-by-step explanation:

Convert the fraction below into a decimal: 9/24​

Answers

Answer:

0,375

Step-by-step explanation:

Answer:

0.375

Step-by-step explanation:

What factor is represented by the yellow shading in the model? [Hint: Include the overlapping area.]

Answers

Answer:

[tex]Fracton = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

See attachment

Required

The fraction of yellow

From the attached image:

[tex]Yellow = 5[/tex]

[tex]Total = 30[/tex]

So, the fraction is:

[tex]Fracton = \frac{Yellow}{Total}[/tex]

[tex]Fracton = \frac{5}{30}[/tex]

Divide by 5/5

[tex]Fracton = \frac{1}{6}[/tex]

Answer: 4/5

Step-by-step explanation:

Write the equation of the graph.

Answers

I believe the equation is f(x) = 2^x -3

What is the slope of this graph?

Answers

2/3 is the slope of the graph

help i dont know what to do

Answers

Hey so the answer is D because when you subtract you would get the other side of the problem

Determine which ordered pair is part of the solution set for the inequality.
3x + y ≥ 6
(4, 3), (-2, 4), (-5, -3), (3, -3)

Answers

the answer is :(4.3) and (3.-3)

Explanation:You just replace the values but first you start by sending the 3x to the other side

1. Simplify 4(2x^3y^4)^4/2(2x^2y^6)^3
show your work​

Answers

Answer:

4x⁶ / y²

Step-by-step explanation:

4(2x³y⁴)⁴ / 2(2x²y⁶)³ = 2(2⁴x¹²y¹⁶) / (2³x⁶y¹⁸) =2(2⁴⁻³)x¹²⁻⁶y¹⁶⁻¹⁸ = 2*2x⁶y⁻² = 4x⁶ / y²

Jake and three of his friends had an Easter egg dying party. Each of the boys received 6 eggs to dye. What was total number of eggs jake and his friends dyed?

Answers

Answer:

30

Step-by-step explanation:

took the test

Answer:

24

Step-by-step explanation:

6 x 4 = 24

Calculate the following using long division show all working 896 divided by 7

Answers

Answer:

128

Step-by-step explanation:

896

7 goes into 8 once

Subtract 7 from 8 and bring the one down.

8 goes into 19 twice

Subtract 14 from 19 and bring the five down.

7 goes into 56 eight times.

So your answer is 128.

Hope this helps

which of the following segments is Tangent to the circle ​

Answers

Segment DE because it touches the circle at one point only
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