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Reil [10]
2 years ago
7

8 Darpan runs a distance of 12 km and then cycles a distance of 26 km. His running speed is x km/h and his cycling speed is 10 k

m/h faster than his running speed He takes a total time of 2 hours 48 minutes.
(a) An expression for the time, in hours, Darpan takes to run the 12 km is 12/X Write an equation, in terms of x, for the total time he takes in hours.​
Mathematics
1 answer:
Sonja [21]2 years ago
8 0

The equation in terms of x, for the total time he takes in hours would be 2.48 = 12/x  + 26/10x

<h3>What is speed?</h3>

Speed can be calculated as the ratio of distance traveled to the time taken

Darpan runs a distance of 12 km and then cycles a distance of 26 km.

Total distance = 12 + 26 = 38km

The running speed is x km/h

A = x

The cycling speed is 10 km/h faster than his running speed

B = 10x

He takes a total time of 2 hours and 48 minutes.

So, the total time he takes

Time = Distance x speed

2.48 = 12/x  + 26/10x

10x(2.48) = 120 + 26

24.8x = 146

x = 5.8

Learn more about speed here;

brainly.com/question/7359669

#SPJ1

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There are specific values of denominators that would yield a non-terminating decimal expansion. In other words, the decimal would be repeating. These denominators are multiples of 3. That could be 3, 6, 9, 12, 15, 18, 21, and so on and so forth.  For example, 1/3 = 0.333333, 1/6 = 0.166666, 1/9 = 0.1111, and so on and so forth.
4 0
4 years ago
Raymond’s Bake Shop sold 26/1/2 dozen cupcakes on Saturday. On Friday,
Lelechka [254]

Answer:percent increase in cupcake sales from Friday to Saturday= 34%

Step-by-step explanation:

 Step 1

Percent increase = Increase in cup cakes/ Old amount of cupcakes x100

Cupcakes sold on Friday = 19 3/4

Cupcakes sold on  Saturday = 261/2

Increase in sales =26 1/2 -- 19 3/4  ( we will change to decmal for easy solving)

=26.5 - 19.75= 6.75 or 6 3/4

Step 2

Percentage increase = (6 3/4)/ (19 3/4)  x100

Percentage increase = 6.75/19.75 x 100

Percentage increase =0.341 x100 = 34%

7 0
3 years ago
Isabell is standing at the top of a waterslide that leads to a pool below. The angle of depression from top of the slide to the
MakcuM [25]

As for the right angle triangle the ratio of opposite side to the hypotenuse side is equal to the sine angle.

The distance of the top of the slide from the ground is 24 foot (to nearest foot). Thus option 3 is the correct option.

<h3>What is right angle triangle?</h3>

A right angle triangle is a triangle in which, one of the angle measures equals to the 9 degrees.

Given information

The angle of depression from top of the slide to the pool is 31. 66°.

The height of the slide is 46 feet.

Image is attached below for the given problem.

As for the right angle triangle the ratio of opposite side to the hypotenuse side is equal to the sine angle.

Thus,

\sin(31.6^o)=\dfrac{x}{46} \\x=46\times \sin (31.6^o)\\x=46\times 0.5249\\x=24.145

Hence the distance of the top of the slide from the ground is 24 foot (to nearest foot). Thus option 3 is the correct option.

Learn more about the right angle triangle here;

brainly.com/question/2028228

7 0
3 years ago
Which of the following equations describe the line shown below? 
frez [133]
Here, Slope (m) = y2 - y1 / x2 - x1
m = 10 - 2 / 1 - (-3)
m = 8 / 4
m = 2

y - 10 = 2 (x - 1)
Also, y - 2 = 2(x + 3)

In short, Your Answers would be A & B

Hope this helps!
4 0
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PLEASE HELP ME I NEED IT DONE FAST
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Step-by-step explanation:

the answer is going to be 660 cm

7 0
3 years ago
Read 2 more answers
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