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3 years ago

{3/4 x (3/3/4 ÷ 5/16)} -3/1/3

Mathematics

1 answer:

slega [8]3 years ago

6 0

I did this online and got this hope this helps

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frutty [35]

Answer:

she started with 50 marbles

Step-by-step explanation:

The total is 100 than you just subtract 20 and 30 becasue that is what is added later on. After you subtract 20 and 30 from 100 you will get 50. Therefore Sara had started out with 50 marbles.

Hope that helps :)

6 0

3 years ago

Read 2 more answers

A plane flying horizontally at an altitude of 1 mi and a speed of 470 mi/h passes directly over a radar station. Find the rate a

kiruha [24]

Answer:

407 mi/h

Step-by-step explanation:

Given:

Speed of plane (s) = 470 mi/h

Height of plane above radar station (h) = 1 mi

Let the distance of plane from station be 'D' at any time 't' and let 'x' be the horizontal distance traveled in time 't' by the plane.

Consider a right angled triangle representing the above scenario.

We can see that, the height 'h' remains fixed as the plane is flying horizontally.

Speed of the plane is nothing but the rate of change of horizontal distance of plane. So, $s=\frac{dx}{dt}=470\ mi/h$

Now, applying Pythagoras theorem to the triangle, we have:

$D^2=h^2+x^2\\\\D^2=1+x^2$

Differentiating with respect to time 't', we get:

$2D\frac{dD}{dt}=0+2x\frac{dx}{dt}\\\\\frac{dD}{dt}=\frac{x}{D}(s)$

Now, when the plane is 2 miles away from radar station, then D = 2 mi

Also, the horizontal distance traveled can be calculated using the value of 'D' in equation (1). This gives,

$2^2=1+x^2\\\\x^2=4-1\\\\x=\sqrt3=1.732\ mi$

Now, plug in all the given values and solve for $\frac{dD}{dt}$ . This gives,

$\frac{dD}{dt}=\frac{1.732\times 470}{2}=407.02\approx 407\ mi/h$

Therefore, the distance from the plane to the station is increasing at a rate of 407 mi/h.

6 0

4 years ago

Find a whole number between 9 4/9 and square root of 144

algol [13]

Answer:

11 is a whole number in between 94/9 and square root of 144 (which is 12 btw)

Step-by-step explanation:

3 0

4 years ago

The coach of the track and field team is putting together groups of runners to run relays. Each group will need to run a race th

andrew11 [14]

Answer:

16 runner

Step-by-step explanation:

It is given that,

Each group will need to run a race that is 1/2 of a mile long. Each runner has to run 1/8 of a mile in the race.

Let there are x no of runners. ATQ,

$\dfrac{1}{8}x=\dfrac{1}{2}\\\\x=\dfrac{(1/2)}{(1/8)}\\\\x=16$

So, there are 16 runner that are needed for each relay race group.

4 0

3 years ago

Read 2 more answers

A 30-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third

Mamont248 [21]

Answer:

3 will be the first piece

6 will be the second piece

21 will be the second piece

5 0

4 years ago