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4 years ago

6

Roger and Tina took a test. Roger finished in 2 2/3 hours. Tina finished in 2 5/6 hours. Who finished first?

2 answers:

Airida [17]4 years ago

8 0

The easiest way to answer this question is to convert both times into minutes:

Roger:
2 and 2/3 hours
(60 minutes in an hour), so 2 x 60 + 2/3 x 60
= 120 + 40
= 160 minutes

Tina:
2 and 5/6 hours
2 x 60 + 5/6 x 60
= 120 + 50
= 170 minutes

As 160 is smaller than 170, Roger took less time to finish his test and therefore was the first one to be finished.

kolbaska11 [484]4 years ago

7 0

Roger finished first.
2 2/3 is equal to 2 4/6. And then 2 and 4/6 is less than 2 and 5/6.

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I don’t understand where to start or what to do , help pls .

7nadin3 [17]

Answer:

x = -19

Step-by-step explanation:

For this problem, we simply need to get rid of the fractions so we can easily solve for x.

To get rid of these fractions, we will multiply the whole equation by the LCD which is 2 * 3 = 6.

( x / 2) - ( 1 / 2) = ( 2x / 3) + ( 8 / 3 )

6 * ( x / 2) - 6 * ( 1 / 2) = 6 * (2x / 3) + 6 * ( 8 / 3 )

3x - 3 = 4x + 16

3x - 3x - 3 - 16 = 4x - 3x + 16 - 16

0x - 19 = x + 0

x = - 19

Thus, for the equation to be true, x must be equal to negative 19.

Cheers.

5 0

4 years ago

Read 2 more answers

If y = 3x^3 - 2x and dx/dt equals 3, find dy/dt when x = -2. Give only the numerical answer. For example, if dy, dt = 4, type on

Nadya [2.5K]

Answer:

$\frac{dy}{dt} = 102$

Step-by-step explanation:

<u>step(i)</u>

Given function y = 3 x³ - 2 x ... (i)

Differentiating equation (i) with respective to 'x'

$\frac{dy}{dx} = 3 (3 x^{2} ) - 2(1)$

Given x = -2

$(\frac{dy}{dx} ) x_{=-2} = 3 (3 (-2)^{2} ) - 2(1)$

$(\frac{dy}{dx} ) x_{=-2} = 36 -2 =34$

<u><em>Step(ii):-</em></u>

<u><em>we know that </em></u>

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

Given $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

substitute values $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

⇒ $34 = \frac{\frac{dy}{dt} }{3 }$

cross multiplication , we get

$\frac{dy}{dt} = 34( 3 ) = 102$

<u><em>Final answer</em></u>:-

$\frac{dy}{dt} = 34( 3 ) = 102$

8 0

3 years ago

At the park, Lisa spends 20 minutes on

4vir4ik [10]

Answer:

what time did she arrive

at the park? <em><u>2:55</u></em>

Step-by-step explanation:

20+20+25=65

4:00-1:05=2:55

7 0

3 years ago

Read 2 more answers

5 days equals how many hours?

MakcuM [25]

120 hours

because 24x5=
120

8 0

3 years ago

Read 2 more answers

Combine like terms 4a2-3b2+ 4b + 10a2

jolli1 [7]

Answer:

14a² - 3b² + 4b

Step-by-step explanation:

Like terms are the terms that have similar stuff on it, like same variables, no variables, and stuff like that.

4a2-3b2+ 4b + 10a2

4a² and 10a² is similar. 4a² + 10a² = 14a²

Now, the equation is 14a² - 3b² + 4b. There is no more like terms left, so that is the answer.

Hope this helps!!

-Ketifa

4 0

3 years ago