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zepelin [54]
2 years ago
8

Which graph/graphs are proportional? Please hurry!

Mathematics
1 answer:
Paul [167]2 years ago
3 0
I’m 89% sure it’s d
hope it helped :)
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Stu trained for a triathlon for 5 hours yesterday. He ran 5 miles and then biked 80 miles. His biking speed is 15 mph faster tha
lara31 [8.8K]

Answer:

Step-by-step explanation:

Given as :

The distance cover while running = D_1 = 5 miles

Let The speed for running = S_1

The distance cover with bike = D_2 = 80 miles

The speed for biking = S_2 = 15 mph +  S_1

Total Time taken = 5 hours

Now Time = \dfrac{\textrm Distance}{\textrm Speed}

∴ 5 hour = \frac{D_1}{S_1} +  \frac{D_2}{S_2}

Or,  5 hour = \frac{5}{S_1} +  \frac{80}{15+S_1}

Or, 5 hour = \frac{75 + 5 S_1 + 80 S_1}{S_1(15+S_1)}

or,  5 × (S_1^{2}+15 S_1) = 85 S_1 + 75

Or, 5 S_1^{2} + 75 S_1 -  85 S_1 - 75 = 0

or, 5 S_1^{2} -10 S_1 - 75 = 0

or,   S_1^{2} -2 S_1 - 15 = 0

Or, S_1^{2} -3 S_1 + 5 S_1- 15 = 0

Or, S_1 (S_1 - 3) + 5 (S_1 - 3) = 0

Or, (S_1 - 3) ( S_1 + 5 ) = 0

∴ S_1 = 3 , - 5

So, the running speed = 3 mile per hour

And the biking speed = 15 mph + 3 mph = 18 mile per hour

Hence The running speed of Stu is 3 mile per hour  .  Answer

7 0
3 years ago
Please I need help in this
belka [17]

Answer:

Point C

Step-by-step explanation:

negative means go left on the x axis and negative on the y axis means go down. Sorry if this explanation doesn't help much.

3 0
2 years ago
Read 2 more answers
9 × 15 = ( 9 × 9 ) + ( 9 × _ ) = _ using distributive property
sineoko [7]
9 x 15 = ( 9 x 9) + (9 x 15)
4 0
3 years ago
Read 2 more answers
Raj had 12 gallon of orange juice. He used ​89 of the juice to make punch.
Mila [183]

Answer:

4/9

Step-by-step explanation:

Finally, I can put my answer!

6 0
2 years ago
What is the volume (in cubic units) of a sphere with a radius of 18 units? Assume that π = 3.14 and round your answer to the nea
Nataly [62]

Answer:

The volume of sphere is 24416.64\ cm^3.

Step-by-step explanation:

We have,

Radius of a sphere is 18 units.

It is required to find the volume of sphere.

The formula of the volume of sphere in terms of radius is given by :

V=\dfrac{4}{3}\pi r^3

Plugging all values in above formula

V=\dfrac{4}{3}\times 3.14\times (18)^3\\\\V=24416.64\ cm^3

So, the volume of sphere is 24416.64\ cm^3.

7 0
2 years ago
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