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vladimir2022 [97]
3 years ago
9

Solve the rational equation: 7 - 2/x = 4 + 10/x

Mathematics
2 answers:
iogann1982 [59]3 years ago
8 0

Answer:

x=4

Step-by-step explanation:

-12/x=-3

12=3x

3x=12

x=4

vlabodo [156]3 years ago
7 0

Answer:

7 - 2 / x = 4 + 10 / x

or , 7 - 4 = 10 / x + 2 / x

or , 3 = 12 / x

or , x = 12 / 3

Therefore , x = 4

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Please help if you can ik it is Pythagorean theorem
kicyunya [14]

Step-by-step explanation:

A = (1/2)bh ---> h = 2A/b = 2(12 cm^2)/(5 cm) = 4.80 cm

---> x^2 = h^2 + (b/2)^2

= (4.8 cm)^2 + (2.5)^2

= 23.04 cm^2 + 6.25 cm^2

or x = 5.41 cm

Therefore, the perimeter P is

P = 2x + b = 2(5.41 cm) + 5 cm = 15.8 cm

5 0
2 years ago
A submarine left Diego Garcia five hours before a cruise ship. The ships traveled in opposite directions. The cruise ship travel
Rina8888 [55]

Answer:

The speed of the submarine is 15.429 miles per hour.

Step-by-step explanation:

Let suppose that both ships travel at constant velocities. As we know that both travel in opposite directions, it is supposed that cruise ship moves in +x direction, whereas submarine in -x direction. Kinematic equations for each sheep are described below:

Ship

x_{Sh} = x_{o} + v_{Sh}\cdot t

Submarine

x_{Su} = x_{o}+v_{Su}\cdot t

Where:

x_{o} - Position of Diego Garcia island, measured in miles.

x_{Sh}, x_{Su} - Current positions of ship and submarine, measured in miles.

v_{Sh}, v_{Su} - Velocities of ship and submarine, measured in miles per hour.

t - TIme, measured in hours.

If we know that x_{Sh} - x_{Su} = 241\,mi, v_{Sh} = 19\,\frac{mi}{h} and t = 7\,h, then:

x_{Sh} - x_{Su} = (v_{Sh}-v_{Su})\cdot t

We clear now the velocity of submarine:

\frac{x_{Sh}-x_{Su}}{t} = v_{Sh}-v_{Su}

v_{Su} = v_{Sh}-\frac{x_{Sh}-x_{Su}}{t}

v_{Su} = 19\,\frac{mi}{h} -\frac{241\,mi}{7\,h}

v_{Su} = -15.429\,\frac{mi}{h}

Speed of the submarine is the magnitude of its velocity, which is 15.429 miles per hour.

4 0
3 years ago
a van is traveling 64 7/8 miles per hour. an airplane is traveling 5 6/7 times faster. about how fast is the airplane traveling?
ValentinkaMS [17]

Answer:

it will be 736 speed faster than

7 0
3 years ago
Which expression could be used to evaluate the expression below?
svetoff [14.1K]

Answer:

D. 4 x -2 - 7/8

Step-by-step explanation:

4 x -2 7/8

2 7/8 can be separated into 2 pieces 2 +7/8

4x - (2+7/8)

Distribute the minus sign

4x - 2 -7/8

5 0
3 years ago
Read 2 more answers
Which number can each term of the equation be multiplied by to eliminate the fractions before solving
zhuklara [117]

Answer:

Answer D:  12

Step-by-step explanation:

Three distinct denominators are shown here:  4, 3 and 2.  The LCD is 12.

This corresponds to answer D.

4 0
2 years ago
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