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sergejj [24]
3 years ago
5

Harvey rides his bike at an average speed of 12 miles per hour. In other words, he rides 12 miles in 1 hour, 24 miles in 2 hours

, and so on. Let h be the number of hours he rides and d be the distance he traveled. Write an equation for the relationship between distance and time in point-slope form.​
Mathematics
1 answer:
timama [110]3 years ago
4 0

Answer:

Step-by-step explanation:

Harvey rides his bike at an average speed of 12 miles in 1 hour, 24 miles in 2 hours, and so on. Let h be the number of hours he rides and d be distance traveled. Write the equation for the relationship between distance and time in point-slope form.

----

You have three points relating time and distance:

(1,12),(2,24),(3,36)

-----

The slope for your equation would be (24-12)/(2-1) = 12/1 = 12

-------------------------------

The intercept is the distance you would travel in no time; that would be zero.

---------------------------------

The equation is: distance = 12(time)

d = 12t

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Dyna has ran 3 km of her race. If she is 65% of the way done. how long is the race altogether? Round to the nearest tenth.
Eddi Din [679]

Lets say the race is x km long.

That means she ran 65% of x.

And that also means that 65% of x = 3

So 65%*x=3

65/100x=3

x=3*100/65

x=300/65

x=4.62

6 0
3 years ago
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. To the nearest inch, how many inches are in 2 meters
AlekseyPX

Answer:

79 inches

Step-by-step explanation:

2 m * 100cm/m * 1 in/2.54cm = 78.7401574803 in

rounded

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7 0
3 years ago
Use the spinner to find the theoretical probability of the event. Write your answer as a fraction or a percent rounded to the ne
suter [353]

Answer:

1/6 or 16.67

Step-by-step explanation:

As there are 6 parts, the theoretical probability of landing on a one is 1/6 or 16.67 (16.666 repeating).

8 0
2 years ago
Read 2 more answers
In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°. Find all possible values of ∠X, to the nearest degree.
ikadub [295]

Given:

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.

To find:

The all possible values of ∠X, to the nearest degree.

Solution:

Law of Sines:

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

For ΔWXY,

\dfrac{w}{\sin W}=\dfrac{x}{\sin X}=\dfrac{y}{\sin Y}

Now,

\dfrac{w}{\sin W}=\dfrac{x}{\sin X}

\dfrac{900}{\sin (157^\circ)}=\dfrac{680}{\sin X}

900\sin X=680\sin (157^\circ)

\sin X=\dfrac{680}{900}\sin (157^\circ)

\sin X=0.295219

X=\sin^{-1}(0.295219)

X=17.17067

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Therefore, the value of ∠X is 17 degrees.

5 0
3 years ago
Find the largest prime divisor of 76^2 − 1.
saveliy_v [14]

Answer:

11

Step-by-step explanation:

This is a difference of squares and therefore can be written as (76-1)(76+1)=(75)(77).

So lets look at the factors....

75=3(25)=3(5)(5)

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The biggest prime factor is therefore 11.

Identities used:

Difference of squares a^2-b^2=(a-b)(a+b)

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3 years ago
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