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Kryger [21]
3 years ago
6

Use the number line to find the coordinate of the point with a fraction

Mathematics
1 answer:
stiks02 [169]3 years ago
8 0

Answer:

-5

Step-by-step explanation:

Coordinate of A = -7

Coordinate if B = 5

Distance of AB = |-7 - 5| = |-12| = 12

We are asked to find the coordinate of the point that would be ⅙ from the A to B, which is ⅙ of AB.

Let's find what ⅙ of AB is.

AB = 12

Therefore, ⅙ of AB = ⅙*12 = 2.

From point A (-7), we move 2 points towards B which will give us ⅙ from A to B.

The coordinate = -7 + 2 = -5

-5 is the coordinate of the point with a fraction distance of ⅙ from A to B.

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5 0
3 years ago
Lin runs 4 laps around a track in 12 minutes.
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Answer:

it would take her 42 mins

Step-by-step explanation:

8 0
3 years ago
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Manuel bought a balloon (that is a perfect sphere) with a radius of 2 \text{ cm}2 cm2, start text, space, c, m, end text. He wan
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Answer:

<h2>The required ratio is 8</h2>

Step-by-step explanation:

Volume of a sphere = \frac{4}{3}\pi  r^{3} where r is the radius of the sphere.

If manuel bought a balloon (that is a perfect sphere) with a radius of 2cm, the original volume of the sphere is expressed as;

Vo = \frac{4}{3}\pi  (2)^{3}

Vo  = \frac{4}{3}\pi *8\\Vo = \frac{32 \pi}{3}

If he wanted his balloon to be bigger and he blew 2 big breaths of air into the balloon, if each big breath increased the balloon's radius by 1cm, the total radius will be the initial radius of the sphere plus the new radius after expansion.

radius of current sphere = 2cm+(1cm+1cm) = 4cm

Volume of the current sphere Vc = \frac{4}{3}\pi  (4)^{3}

Vc = \frac{4}{3}\pi *64\\Vc = \frac{256 \pi}{3} \\

The ratio of the current volume of the balloon Vc to the original volume of the balloon Vo will be expressed as;

Vc/Vo = \frac{\frac{256\pi}{3} }{\frac{32\pi}{3} }

\frac{Vc}{Vo}=\frac{256\pi}{3}*\frac{3}{32\pi}   \\\frac{Vc}{Vo}=\frac{256}{32}\\\frac{Vc}{Vo}= 8

The required ratio is 8

3 0
2 years ago
Sabrina read a total of 175 pages in 3 days. On the first day she read 45 pages. On the second and third days, she read the same
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Answer: Sabrina read 65 pages on the second and third days

Step-by-step explanation:

45 + 2x = 175

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2x = 130

2x/2  = 130/2

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CHECK: 45 + 65 +65 = 175

7 0
3 years ago
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Consider a particle moving around a circle with a radius of 38cm. It rotates from 10 degrees to 100 degrees in 11 seconds. Calcu
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Step-by-step explanation:

Given that,

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Let \omega is the angular velocity of the particle such that, \omega=\dfrac{\omega_f-\omega_i}{t}

\omega=\dfrac{1.74-0.174}{11}

\omega=0.142\ rad/s

We need to find the instantaneous velocity of the particle. The relation between the angular velocity and the linear velocity is given by :

v=r\times \omega

v=0.38\times 0.142

v = 0.053 m/s

So, the instantaneous velocity of the particle is 0.053 m/s. Hence, this is the required solution.  

6 0
3 years ago
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