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natulia [17]
3 years ago
13

there were 6 inche of snow on the street.After a storm, the snow increased by 2/3 of the original amount. After a sunny day, 2/3

of the snow melted.How many inches of snow is there now
Mathematics
1 answer:
Eddi Din [679]3 years ago
5 0

Answer:

6 inches.

Step-by-step explanation:

plus 2/3 and minus 2/3

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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
What does 3x+2x+4+2 equal
Reptile [31]

Answer:

5x + 6

Step-by-step explanation:

3X + 2X = 5X

4 + 2 = 6

5X + 6 IS SIMPLIST FORM

6 0
3 years ago
Read 2 more answers
What is 3yards x 3feet x 1foot=
Kazeer [188]

Answer:

<h2>27ft³</h2>

Step-by-step explanation:

1 yard = 3  feet

therefore 3 yards = 3(3 feet) = 9 feet

3yd × 3ft × 1ft = 9ft × 3ft × 1ft = 27ft³

5 0
3 years ago
Look at the picture, pls help!!
tatyana61 [14]

Answer:

f(-1) = 12

f(1) - g(1) = 8

g(x) = 4  when x = 2

f(x) = g(x) when x = 3

Step-by-step explanation:

Read the graph.

Find the x - values on the x - axis and identify what y level the line is at.

4 0
3 years ago
Solve <br> 0=40+3x<br> show work please
forsale [732]
0=40+3x
0=120x
Calculate the product
0=120x
Swap sides of the equation
120x=0
Divide both sides
X=0
4 0
3 years ago
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