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Dimas [21]
3 years ago
12

Simplify the following expression.( Fraction form) 7-5/6 * 7-7/6

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0

Answer:

1295/36

Step-by-step explanation:

the statement tell us:

(7-(5/6))*(7-(7/6))

we have:

(7-(5/6))=((6*7)-5)/6=(42-5)/6=37/6

and we have:

(7-(7/6))=((6*7)-7)/6=(42-7)/6=35/6

we need multiply both terms:

(37/6)*(35/6)=(37*35)/(6*6)

finally we have

1295/36

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Solve for x 2.3(6-x)+22=96-2.3(2x+12)
melomori [17]

Hello!

(this took me 20 minutes to type out from what I wrote on paper lol)

I'm going to guide you through this one step at a time

Step 1: Simplify both sides of the equation.

2.3(6−x)+22 = 96−2.3(2x+12)

(2.3)(6)+(2.3)(−x)+22 = 96+(−2.3)(2x)+(−2.3)(12) (use distributive property of multiplication)

13.8+−2.3x+22 = 96+−4.6x+−27.6

(−2.3x)+(13.8+22) = (−4.6x)+(96+−27.6) (Combine The Like Terms)

−2.3x+35.8 = −4.6x+68.4

−2.3x+35.8 = −4.6x+68.4

Step 2: now, add 4.6x to both sides.

−2.3x+35.8+4.6x = −4.6x+68.4+4.6x

2.3x+35.8 = 68.4

Step 3: next, subtract 35.8 from both sides.

2.3x+35.8−35.8 = 68.4−35.8

2.3x = 32.6

Step 4: Divide both sides by 2.3.

\frac{2.3X}{2.3} = \frac{32.6}{2.3}

fractions solved: x = 14.173913

your final answer is: x = 14.173913

I hope this helps, and have a nice day!

5 0
3 years ago
Which situation best represents the following equation?<br> 30 + 4x = 70 + 2x
pishuonlain [190]

Answer:

There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?

Step-by-step explanation:

There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?

3 0
3 years ago
2222222222222222222222222222222222222222222222222222...
valentina_108 [34]

Answer:

222,222,222,222,222,222,222,222,222,222

Step-by-step explanation:

Intellegenc.

8 0
3 years ago
Approximately how many times as great is the volume of a grapefruit with a diameter 16 cm as the volume of a lime with a diamete
SIZIF [17.4K]

Answer: The volume of the grapefruit is approximately 8 times as great as the volume of the lime.

Step-by-step explanation:

You need to use the formula for calculate the volume of a sphere. This is:

V=\frac{4}{3}\pi  r^3

Where "r" is the radius.

<u>Volume of the grapefruit</u>

You know that its diameter is 16 centimeters.

Since the radius is half the diameter, you get that its volume is:

V_g=\frac{4}{3}\pi  (\frac{16\ cm}{2}) ^3\\\\V_g= 2,144.66\ cm^3

<u> Volume of the lime</u>

According to the information given in the exercise, the diameter of the lime is 8 centimeters.

As it was explained above, the radius is half the diameter. Knowing that, you get that volume of the lime is the shown below:

V_l=\frac{4}{3}\pi  (\frac{8\ cm}{2}) ^3\\\\V_l= 268.08\ cm^3

In order to find approximately how many times as great is the volume of theat grapefruit as the volume of that lime, you need to divide the volumes calculated above. Then:

\frac{2,144.66\ cm^3}{268.08\ cm^3}\approx8\ times

8 0
3 years ago
Find the area and perimeter ​
pshichka [43]

Answer:

your area is 13 and the perimeter look at the green one

Step-by-step explanation:

3 0
3 years ago
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