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2 years ago

11

Which expression is equivalent to the one below?

1 answer:

Yanka [14]2 years ago

3 0

Answer:

The answer is -5 + 1/8

Step-by-step explanation:

If you use the distributive property, which is mandatory with parenthesis you first multiply -1/2 by 10 which is -5. The next step is to multiply -1/2 by 1/4 which is -0.125 or -1/8, which the closest answer to it is -5 + 1/8. Hope this helps :)

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3 years ago

What is 7.5% as a fraction

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Answer:

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2 years ago

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

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3 years ago

How to solve this equation algebraically: Y=2x+1<br> 3x+4y=26

AURORKA [14]

You can substitute what y is into the second equation, so:
3x + 4(2x + 1) = 26
3x + 8x + 4 = 26
11x + 4 = 26
- 4
11x = 22
÷ 11
x = 2

y = (2 × 2) + 1
y = 5 + 1
y = 5

So you get x as 2 and y as 5, I hope this helps!

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2 years ago

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The advanced tickets cost $25 an the same-day ticket cost $30

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