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3 years ago

7over10 subtract 5over12 in simplest form

Mathematics

1 answer:

Andrews [41]3 years ago

4 0

Answer: $=\frac{17}{60}\quad \left(\mathrm{Decimal:\quad }\:0.28333\dots \right)$

Step-by-step explanation:

$\left(\frac{7}{10}\right)-\left(\frac{5}{12}\right)$

$=\frac{7}{10}-\frac{5}{12}$

$=\frac{42}{60}-\frac{25}{60}$

$=\frac{42-25}{60}$

$=\frac{17}{60}$

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A thermos in the shape of a cylinder is filled with coffee. The height of the cylinder is 12 inches and its radius is 2 inches.

dolphi86 [110]

Answer:

V =150.8 in ^3

Step-by-step explanation:

V=πr^2h

V = pi * (2^2) * 12

V =3.14159 * 4*12

V =150.7964474 in^3

to the nearest tenth

V =150.8 in ^3

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3 years ago

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A 3x4x5 rectangular cuboid (e.g. a brick) is painted blue and cut into 1x1 cubes. what is the expected value for the painted sid

Anton [14]

Answer:

8 cubes are painted on 3 sides

24 cubes are painted on 2 sides

22 cubes are painted on 1 sides

6 cubes are painted on 0 side

E = 3 * 8/60 + 2 * 24/60 + 1 * 22/60 + 0 * 6/60 = 47/30 = 1.567

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3 years ago

Kelli swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 6 minut

solmaris [256]

Answer:

6.11km/hr

Step-by-step explanation:

Let the speed that Kelli swims be represented by Y

Speed of the river = 5km/hr

Distance = Speed × Time

Kelli swam upstream for some distance in one hour

Swimming upstream takes a negative sign, hence:

1 hour ×( Y - 5) = Distance

Distance = Y - 5

She then swam downstream the same river for the same distance in only 6 minutes

Downstream takes a positive sign

Converting 6 minutes to hour =

60 minutes = 1 hour

6 minutes =

Cross Multiply

6/60 = 1/10 hour

Hence, Distance =

1/10 × (Y + 5)

= Y/10 + 1/2

Equating both equations we have:

Y - 5 = Y/10 + 1/2

Collect like terms

Y - Y/10 = 5 + 1/2

9Y/10 = 5 1/2

9Y/ 10 = 11/2

Cross Multiply

9Y × 2 = 10 × 11

18Y = 110

Y = 110/18

Y = 6.1111111111 km/hr

Therefore, Kelli's can swim as fast as 6.11km/hr still in the water.

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3 years ago

Since the expression (x-4)^2+(y+1)^2 evaluated at (3,6) is

stiks02 [169]

$\bf (x-4)^2+(y+1)^2\qquad (3,6)~~ \begin{cases} x = 3\\ y = 6 \end{cases}\implies (3-4)^2+(6+1)^2 \\\\\\ (-1)^2+7^2\implies 1+49\implies 50$

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3 years ago

If you roll two four-sided dice (numbered 1, 2, 3, and 4), what is the probability that the sum of the dice is 3?

Elan Coil [88]

Answer:

The probability that the sum of the dice is 3, is 3/16.

Step-by-step explanation:

It is given that two four-sided dice are rolled.

Total number of sides of each dice = 4

Possible values for each dice = 1,2,3,4

If two four-sided dice are rolled, then the total possible outcomes are

$A=\{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),\\(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)\}$

Total number of possible outcomes = 16

The sum of the dice is 3.

$\text{Favorable outcomes}=\{(1,1),(1,2),(2,1)\}$

Total number of favorable outcomes = 3

The probability that the sum of the dice is 3.

$Probabilty=\frac{3}{16}$

Therefore the probability that the sum of the dice is 3, is 3/16.

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4 years ago