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2 years ago

Can someone help me with this problem? #32

Mathematics

1 answer:

Masja [62]2 years ago

8 0

Answer:

answer is A but im sure you've gotten it by now

Step-by-step explanation:

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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

7/4 as a whole number

Ne4ueva [31]

1 1/4?? because 7/4 cant be a whole number its a mixed number when simplified

5 0

2 years ago

Simplify the expression x + 5+ 3.

JulsSmile [24]

Answer:

x + 8

Step-by-step explanation:

x + 5 + 3.

add the numbers

↓

x + 8

8 0

3 years ago

Read 2 more answers

PLEASE HELPPPP!!!!!!!

Strike441 [17]

Answer:

Subtract 4 from each side

Step-by-step explanation:

x + 4 > -8

Subtract 4 from each side

x + 4-4 > -8-4

x>-12

6 0

2 years ago

Wyatt has 32 marbles in his collection. Twenty of his marbles are red, four are blue, and the

dmitriy555 [2]

Answer:

6 and 2/5

Step-by-step explanation:

20% of 32 is 6.4

4 0

2 years ago