4 years ago

Which two numbers add up to 10 and multiply to -2000?

Mathematics

1 answer:

DIA [1.3K]4 years ago

4 0

50 i did this one before

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Two less than three times a number is 20

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Let the number be t
Then, three times the number is 3t
Less than 2
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Which shows the correct substitution of the values a, b, and c from the equation 1 = –2x + 3x2 + 1 into the quadratic formula?

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Beatrice participates in professional triathlons. She runs 2 mph faster than her friend Joe, a weekend athlete. If they each

Galina-37 [17]

Speed of Joe is 6 mph and that of Beatrice is 8 mph

Step-by-step explanation:

Let Joe's speed be S

Beatrice's speed be s + 2

Let Joe's time be T

Beatrice's time = T - 1/2

Then

We know that

$speed = \frac{distance}{time}$

Now

Distance = $speed \times time$

On substituting the value

Equation corresponding to Joe

$12 = S \times T$ ...........................(1)

Equation corresponding to Beatrice

$(S+2) \times (T - \frac{1}{2})=12$

Now solving for s and T,we get

$(S+2) \times (\frac{12}{S}- \frac{1}{2})=12$

$(S+2) \times (\frac{24 -S}{2S})=12$

$2S(S+2) \times ({24 -S})=12(2S)$

$(2S^2 - 4S )(24-S) = 24S$

S = 6 mph -------------------------- Joe's speed

T = 2 hours ------------------------ Joe's time

Thus Beatrice's speed is

6 + 2 = 8 mph

Beatrice's time is

$2 -\frac{1}{2} =1\frac{1}{2 }hours$

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3 years ago