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vlabodo [156]
3 years ago
9

There are 3 grams of sodium in 1⁄2 of a liter of soda. How much sodium is in 2⁄3 of a liter of soda? grams

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
8 0
6 in a liter, 2 for every third of a liter, so there are 4 grams of sodium in 2/3 a liter of soda
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On the scale drawing of Cold Lake Camp, the mess hall is 5 cm from the lodge. The scale for the map is 2 cm = 100 m.
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6 0
2 years ago
Please help find the probability that x >25.
bija089 [108]

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5 0
2 years ago
The sum of the reciprocals of two consecutive even integers is 7/24. Write an equation that can be used to find the two integers
sergejj [24]
Assume the first even integer is x.
The next even integer will be 2 digits after this digit. So the next even integer will be x+2.

The reciprocals of these two even integers can be written as \frac{1}{x} and \frac{1}{x+2} respectively.

The sum of their reciprocals is 7/24. So we can set up the equation as:

\frac{1}{x}+ \frac{1}{x+2}= \frac{7}{24}

Taking LCM on left hand side:

\frac{x+2+x}{x(x+2)}= \frac{7}{24} \\  \\ 
 \frac{2x+2}{ x^{2} +2x}= \frac{7}{24}

Cross Multiplying the denominators:

24(2x+2)=7({ x^{2} +2x}) \\  \\ 
48x+48=7 x^{2} +14x \\  \\ 
7 x^{2} +14x-48x-48=0 \\  \\ 
7 x^{2} -34x-48=0 \\  \\ 



Using the quadratic formula to solve the above equation:
7 x^{2} -34x-48=0 \\  \\ 
x= \frac{34+- \sqrt{1156+1344} }{14} \\  \\ 
x= \frac{34+- \sqrt{2500} }{14} \\  \\ 
x=\frac{34+-50 }{14} \\  \\ 
x=6 \\ x=- \frac{8}{7} 


Since, the value of x can only be an integer, we discard the fractional value and keep x=6

So the first even integer is 6 and the next even integer is 8. The sum of reciprocals of 6 and 8 is 7/24

5 0
3 years ago
5a+2=6-7a please help me fellows
stira [4]
<span>5a + 2 = 6 - 7a 
5a + 7a = 6 - 2
12a = 4
a = 4/12 = 1/3

</span>
6 0
3 years ago
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