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svetoff [14.1K]
2 years ago
13

Solve the reciprocal

t=" \frac{1}{x} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
swat322 years ago
7 0

Answer:

the reciprocal is just x because x over 1 is just x

Step-by-step explanation:

Hope this helps! :)

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Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution. How much of the
emmainna [20.7K]

Answer:

<h3>              0.125 galon of 35% acid solution</h3>

Step-by-step explanation:

0.5 gallon of a 10% acid solution

10%•0.5 = 0.05 gallon of acid in that solution

x gallon of 35% acid solution

35%•x = 0.35x  gallons of acid in that solution

0.05 + 0.35x  total of gallons of acid in both solutions

(0.5+x) gallons of 15% acid solution

15%(0.5+x) = 0.15(0.5+x)  gallons of acid in that solution

the amount of gallons of acid didn't change after mixing, so:

0.05 + 0.35x = 0.15(0.5 + x)

0.05 + 0.35x = 0.075 + 0.15x

0.35x - 0.15x = 0.075  - 0.05

0.2x = 0.025

 ×5         ×5  

x = 0.125

8 0
3 years ago
Read 2 more answers
for any positive integer n, the sum of the first n positive integers equals n(n 1)/2. what is the sum of all the even integers b
marusya05 [52]

The sum of all the even integers between 99 and 301 is 20200

To find the sum of even integers between 99 and 301, we will use the arithmetic progressions(AP). The even numbers can be considered as an AP with common difference 2.

In this case, the first even integer will be 100 and the last even integer will be 300.

nth term of the AP = first term + (n-1) x common difference

               ⇒    300 = 100 + (n-1) x 2

Therefore, n = (200 + 2 )/2 = 101

That is, there are 101 even integers between 99 and 301.

Sum of the 'n' terms in an AP = n/2 ( first term + last term)

                                                = 101/2 (300+100)

                                                = 20200

Thus sum of all the even integers between 99 and 301 = 20200

Learn more about arithmetic progressions at brainly.com/question/24592110

#SPJ4        

7 0
1 year ago
Z/2 + 3 = -80<br><br> The solution is z=
nirvana33 [79]

Answer:

z = -166

Step-by-step explanation:

1. Subtract 3 from both sides to get z/2 = -83

2. Multiply 2 by both sides to get z = -166

z = -166

8 0
3 years ago
Read 2 more answers
Rachel drove 756 miles in 12 hours.<br> At the same rate, how many miles would she drive in 8 hours?
kvv77 [185]

Answer:

504 miles

Step-by-step explanation:

you would do 756÷12 which equals 63.... For every hour that you drive its 63 miles. Then you do 63×8 to get 504

4 0
3 years ago
Sedrtfyghujiklmnbvgcfdrt6yuiopl;kmnjbhgvfcdxswertyuioklkmjnhbgvfds
Rama09 [41]

Answer: hshebe rjwkshzbjskxicbxuxbxjdnxkskzbu

Step-by-step explanation:

3 0
3 years ago
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