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2 years ago

What can 385/64 be simplified to?

Mathematics

1 answer:

yarga [219]2 years ago

8 0

$\frac{385}{64}$ (an improper fraction) can be simplified to $6 \frac{1}{64}$ (a mixed number)

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2x - 3y = 16 5x - 3y = 13

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1 year ago

Azul has 4 green picks and no orange picks. You add orange picks so that they are 2 orange picks for every 1 green pick. How man

Ad libitum [116K]

Ratio of orange:green = 2:1

If there are 4 green picks then there are 8 orange picks.

Total number of picks = 4 + 8 = 12

Answer: There are now 12 picks in total.

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2 years ago

A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

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2 years ago

How to write 139,852 in Standard form

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3 years ago

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A logical argument that is presented in graphical form using boxes and arrows is called a____.

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Step-by-step explanation:

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2 years ago

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