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3 years ago

Find the sum of find the sum of 3/4 of 8 1/3 of 4

2 answers:

8 0

3 Divided by 4 is .75
0.75 divided by four is 1/2
1/3 divided bt 4 is 1/12
3/32 + 1/12 is 17/96 (that is in simplest form)
Therefore
17/96

Simora [160]3 years ago

7 0

17/96 is what I got. Tell me if I'm wrong plz

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A recipe requires 3 cups of flour to make 27 dinner rolls. How much flour is needed to make 9 rolls.

amid [387]

9 rolls* (3 cups of flour/ 27 dinner rolls)= 1 cup of flour.

1 cup of flour is needed to make 9 rolls~

5 0

3 years ago

Identify the center and radius of the circle given by the equation (x+2)^2+(y-5)^2=16

Andreyy89

Answer:

Center=(0,2) Radius=(4)

Step-by-step explanation:

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8 0

3 years ago

Show the ratios are equivalent by simplifying any 4 of them.

aliya0001 [1]

When simplified all of them equal 3/1. They are asking you to just chose 4 of them. Hope that helps!

4 0

3 years ago

Expand 3(n+6) This for the test

MrRa [10]

Step-by-step explanation:

expanded = 3n + 18

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8 0

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.

8 0

2 years ago