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musickatia [10]
3 years ago
5

Ryan can text 22 words in 4 minutes. At this rate, how many words could he text in 12 minutes? Fill out the table of equivalent

ratios until you have found the value of x.
Mathematics
1 answer:
aleksandrvk [35]3 years ago
3 0
The answer would be 66
Explanation: first you have to divide the minutes so 12 divided by 4 equals 3 so you would take the three and multiply that by 22. So 22x3 is equal to 66
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5^2•3^-1•5^-3/3^4•5^-1•3^-3
puteri [66]
Assuming you want the expression to be simplified. 

We begin with the following: 

5^{2} * 3^{-1} * \frac{5^-3}{3^{4}} * 5^{-1} * 3^{-3}

Simplify the first part, 5^{2}. That is 25. Now we have this: 

25*3^{-1.5} * \frac{-3}{3^{4}} * 5^{-1} * 3^{-3} 

Next, simplify 3^{-1}, which is 1/3, and get this: 

25* 1/3 * \frac{-3}{3^{4}} * 5^{-1} * 3^{-3} 

The next part is \frac{5^-3}{3^{4}}. Simplify the denominator, 3^{4}, which is 81. Simplify the numerator, which is 1/125. Then divide 1/125 by 81, which we will keep as a fraction for simplicity's sake, but simplify it to \frac{1}{10125}. Now we have: 

25* 1/3 * \frac{1}{10125} * 5^{-1} * 3^{-3}

Now simplify 5^{-1}, which is 0.2, or 1/5. Now we have: 

25* 1/3 * \frac{1}{10125} * 0.2 * 3^{-3} 

Finally, simplify 3^{-3}. That is 1/27. We have: 

25* 1/3 * \frac{1}{10125} * 0.2 * 1/27

Lastly, multiply them all together! Now we are done, with the product of: 

\frac{1}{6075}

That certainly did take a while to type in all the LaTex, so I really hope that helped!

Note- if anything isn't working with the LaTex, just tell me and I'll fix it! (:
3 0
3 years ago
Solve the following system of equations. With multiplication <br> 4x– 3y = -11<br> - 7x-8y= 6
Aliun [14]

4x - 3y = -11

-7x - 8y = 6

We need to cancel out one of the variables so let's multiply the first equation by 8 and the second by 3 and aim to cancel y.

32x - 24y = -88

-21x - 24y = 18

Now we subtract,

53x = -106

x = -2

3y = 4x + 11 = 4(-2) + 11 = 3

y = 1

Answer: (x,y)=(-2,1)

Check:

4(-2) -3(1) = -8 - 3 = -11, good

-7(-2) - 8(1) = 14 - 8 = 6, good

5 0
4 years ago
Find the area of the sector
Setler [38]

Answer:

10:

7/4π = 5.5(1decimql place)

11:

50π = 157.1(1 decimal place)

Step-by-step explanation:

the equation is (angle/360) X πr^2

6 0
2 years ago
How to do this equation 2 radical 6 minus 3 radical 6
Slav-nsk [51]

\bf \stackrel{like-terms}{2\sqrt{6}-3\sqrt{6}}\implies -1\sqrt{6}\implies -\sqrt{6}

6 0
3 years ago
a landscaper is designing a park in the shape of a kite with a fountain in the center, F. AK = 28 ft, PF=48 ft and F=32 ft. He w
Keith_Richards [23]

Answer:

169.9

Step-by-step explanation:

6 0
3 years ago
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