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2 years ago

Find the value of x x=

Mathematics

1 answer:

Lena [83]2 years ago

7 0

9514 1404 393

Answer:

x = 65

Step-by-step explanation:

The sum of exterior angles of a polygon is 360°.

40 + x + 77 + 2x + 45 = 360

3x + 165 = 360 . . . . simplify

x + 55 = 120 . . . . . . divide by 3

x = 65 . . . . . . . . . . . subtract 55

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Step-by-step explanation:

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2 years ago

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Angie goes to a fair that charges $8 admission and $0.75 per ride.

faltersainse [42]

0.75 x 5 because she has already rode 1 and then subtract it from 8.00$ and that should give you the answer

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3 years ago

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Novay_Z [31]

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2 years ago

The denominator of a fraction is 4 more than the numerator if both are decreased by 3 the simplified result is 6/7 find original

Hitman42 [59]

<u>Answer:</u>

The denominator of a fraction is 4 more than the numerator. The original fraction is $\frac{27}{31}$

<u>Solution:</u>

Given that

Denominator of fraction is 4 more than the numerator.

Let’s say numerator of fraction be represented by variable x.

So denominator of a faction as it is four more that numerator will be x + 4

Also given if both decreased by three than simplified result is $\frac{6}{7}$

$=>\frac{(x-3)}{((x+4)-3)}=\frac{6}{7}$

Solving above equation for x

=> 7(x – 3 ) = 6 ( x + 1 )

=> 7x – 21 = 6x + 6

=> 7x – 6x = 6 + 21

=> x = 27

Numerator of fraction = x = 27

Denominator of fraction = x + 4 = 27 + 4 = 31

$\text {required fraction}=\frac{\text {numerator}}{\text {denominator}}$

$= \frac{27}{31}$

Hence the original fraction is $\frac{27}{31}$

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3 years ago

Haley makes earrings and packages them into cube boxes that measure 1/6 foot wide. How many 1/6 foot cubic boxes can she fit int

alexandr402 [8]

Answer: 28 cube boxes.

Step-by-step explanation:

The volume of a cube can be found with this formula:

$V_{(c)}=s^3$

Where "s" is the lenght of any edge of the cube.

You need to find the volume of a cube box:

$V_1=s^3=(\frac{1}{6}ft)^3=\frac{1}{216}ft^3$

To find the volume of the shipping box, first we must convert the mixed number to an improper fraction. To do it, multiply the whole number part by the denominator of the fraction and add this product to the numerator.

The denominator does not change.

Then:

$1\ \frac{1}{6}=\frac{(1*6)+1}{6}=\frac{7}{6}$

Knowing the dimensions of the shipping box, you can calculate its volume by multiplying its dimensions. Then, this is:

$V_2=(\frac{7}{6}\ ft)(\frac{1}{3}\ ft)(\frac{1}{3}\ ft)=\frac{7}{54}\ ft^3$

Finally, in order to find the number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube:

$\frac{\frac{7}{54}ft^3}{\frac{1}{216}ft^3}=28$

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2 years ago