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WINSTONCH [101]
3 years ago
15

Simplify this problem

Mathematics
1 answer:
ikadub [295]3 years ago
7 0

Answer:

\boxed{  \frac{ \sqrt[3]{ {x}^{11} } }{4} }

Step-by-step explanation:

=  >  \frac{ {x}^{4} }{ \sqrt[3]{64x} }  \\  \\  =  >  \frac{ {x}^{4} }{ {(64x)}^{ \frac{1}{3} } }  \\  \\  =  >  \frac{ {x}^{4} }{ ({64}^{ \frac{1}{3} }  )\times  ({x}^{ \frac{1}{3} } )}  \\  \\  =  >  \frac{ {x}^{4} }{ ({( {4}^{3} )}^{ \frac{1}{3} }) \times(  {x}^{ \frac{1}{3} }  )}  \\  \\  =  >   \frac{ {x}^{4} }{ ({4}^{ \cancel{3} \times  \frac{1}{ \cancel{3}} } ) \times(  {x}^{ \frac{1}{3} }  )}   \\  \\  =  >  \frac{ {x}^{4} }{4 {x}^{ \frac{1}{3} } }  \\  \\  =  >  \frac{ {x}^{4 -  \frac{1}{3} } }{4}  \\  \\  =  >  \frac{ {x}^{ \frac{12 - 1}{3} } }{4}  \\  \\  =  >  \frac{ {x}^{ \frac{11}{3} } }{4}  \\  \\  =  >   \frac{ \sqrt[3]{ {x}^{11} } }{4}

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Two trains, Train A and Train B weigh a total of 349 tons. Train A is heavier than Train B. The difference in their weights is 2
Ainat [17]

Answer:

Train A = 299 tons Train B = 50 tons

Step-by-step explanation:
Train A = x

Train B = y

x+y = 349

x= y +249

Plug in one equation into another

y+249+y= 349

Simplify

2y+249=349

Subtract 249 from both sides

2y=100

Divide both sides by 2

y=50

Plug it into the x equation to solve for x

x+50=349

-50 from both sides

x=299

3 0
2 years ago
The projected T. rex is about
dolphi86 [110]

Answer: scale\ factor=230

Step-by-step explanation:

You need to analize all the information given in the exercise.

You know that the actual height of the T-rex on the projector lens is the following:

actual\ height=2\ cm

The height of the projected T-rex is:

projected\ height=4.6\ m

Make the conversion from meters to centimeters:

projected\ heigth=(4.6\ m)(\frac{100\ cm}{1\ m})\\\\projected\ heigth= 460\ cm

Therefore, the scale factor will be:

scale\ factor=\frac{projected\ heigth}{actual\ heigth}

Finally, you must substitute values into the equation and then you must evaluate in order to find the scale factor of the projection. You get that this is:

scale\ factor=\frac{460\ cm}{2\ cm}\\\\scale\ factor=230

7 0
3 years ago
Two unidentified flying discs are detected by a receiver. The angle of elevation from the receiver to each disc is 39.48 degree.
lys-0071 [83]

Answer:

The answer is "298.83 m"

Step-by-step explanation:

Its gap from its transmitter from each disc comprises of 2 triangles. Its horizontal segment via disc to vertical, and longitudinal segment. Disk height, h, is parallel to a horizontal disc Wink including its line across recipient to disc or horizontal 39. 48^{\circ}

\to 39. 48^{\circ}  = \frac{h_1}{826 \ m}\\\\   \to 826\ m (\ sin 39. 48^{\circ} ) = h_1\\\\ \to 525.18 = h_1\\\\

if:

\to \sin 39. 48^{\circ} = \frac{h_2}{1.296 \ km}\\\\ \to  \sin 39. 48^{\circ} (1296 \ m) = h_2\\\\  \to  824.01 = h_2\\\\\to                        h_2  - h_1 = 824.01 - 525.18\\\\

                  = 298.83 \ m

4 0
3 years ago
Mark jogged 3 5/7 km. His sister jogged 2 4/5 km. How much farther did Mark jog than his sister?
NeTakaya

Step-by-step explanation:

so therefore mark jogged 2 36/70km more than his sister

3 0
2 years ago
A chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 45% pure anti
kykrilka [37]

Answer:

First brand = 18 gallons

Second brand = 12 gallons

Step-by-step explanation:

Let the first brand brand be A and the second brand be B.

Thus, since he wants to obtain 30 gallons of a mixture that contains 30% pure antifreeze, then we have;

A + B = 30 - - - (eq 1)

Also; The first brand is 20% pure antifreeze, and the second brand is 45% pure antifreeze. Thus;

0.2A + 0.45B = (0.3 × 30)

0.2A + 0.45B = 9 - - - (eq 2)

From eq 1, we have; A = 30 - B

Put 30 - B for A in eq 2;

0.2(30 - B) + 0.45B = 9

6 - 0.2B + 0.45B = 9

0.25B = 9 - 6

0.25B = 3

B = 3/0.25

B = 12

Thus, A = 30 - 12 = 18 gallons

6 0
3 years ago
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