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MAVERICK [17]
3 years ago
12

Solving Rational Equations. LCD Method. Show work.

7B7%7D%7B2x%7D%20%3D%201" id="TexFormula1" title="\frac{2}{5x} +\frac{7}{2x} = 1" alt="\frac{2}{5x} +\frac{7}{2x} = 1" align="absmiddle" class="latex-formula">

Mathematics
2 answers:
Svet_ta [14]3 years ago
5 0

using the LCD method.... well, there are a couple of ways, but let's simply add them up.

well, the denominators are 5x and 2x... so the only LCD will just be 10x, since it's divisible by both, so let's use that one.

\bf \cfrac{2}{5x}+\cfrac{7}{2x}=1\implies \stackrel{\textit{LCD of 10x}}{\cfrac{(2)2~~+~~(5)7}{10x}}=1\implies \cfrac{4+35}{10x}=1\implies \cfrac{39}{10x}=1 \\\\\\ 39=10x\implies \cfrac{39}{10}=x\implies 3\frac{9}{10}=x

shutvik [7]3 years ago
3 0
The answer to the question

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The water tank in the diagram is in the shape of an inverted right circular cone. The radius of its base is 16 feet, and its hei
Angelina_Jolie [31]

Answer:

6433.98 ft

Step-by-step explanation:

In order to find what 25% of the tank's capacity is, we know to know the full capacity of the tank then take 25% of that.  The volume formula for a right circular cone is

V=\frac{1}{3}\pi r^2h

We have all the values we need for that:

V=\frac{1}{3}\pi (16)^2(96)

This gives us a volume of 25735.93 cubic feet total.

25% of that:

.25 × 25735.93 = 6433.98 ft

4 0
3 years ago
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3 to the power of -4
leva [86]
Three to the power of negative four is 81
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3 years ago
-1/4b + 1/2 = 5/6<br>Find b​
QveST [7]

Answer:

b = -4/3

Step-by-step explanation:

First, subtract the 1/2 over

-1/4b+1/2=5/6

5/6-1/2

To get a common denominator of 6, multipy 1/2 by 3

5/6-1/2(3)

5/6-3/6=2/6

-1/4b=2/6

Next, multiply by the reciprocal of -1/4, or -4

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7 0
3 years ago
Assume the mean useful life of a particular light bulb is 2,000 hours and is normally distributed with a standard deviation of 3
Yuri [45]
The mean = 2,000
s = Sigma ( standard deviation ) = 300
M - 2 s = 2,000- 2 * 300 = 2,000 - 600 = 1,400
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Answer.
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4 0
3 years ago
PLEASE HELP IMMEDIATELY
grandymaker [24]

Answer:

a)   C(d) = 37.95 + 0.62d

b)  C(74) = 37.95 + 0.62(74)

83.8 dollars

c) 8181 miles

Step-by-step explanation:

The company charges a fee of 37.95 just for the rent and then 0.62 dollars per mile.

So if one person travels one mile they will pay:

37.95 + 0.62

Two miles: 37.95 + 0.62 (2)

Three miles: 37.95 + 0.62 (3)

d miles: 37.95 + 0.62(d)

Thus, the function C(d) that gives the total cost of renting the truck for one day if you drive d miles would be C(d) = 37.95 + 0.62d

Now, if we drive 74 miles, the function that gives us the cost would be:

C(74) = 37.95 + 0.62(74) = 37.95 + 45.88 = 83.83 = 83.8 dollars

Now, if we have 5110 dollars on our budget, we would have to substitute this in our function to know how many miles we can drive with that amount:

C(d)= 37.95+0.62d=5110\\37.95+0.62d=5110\\0.62d=5110-37.95\\0.62d=5072.05\\d=5072.05/ 0.62 \\d=8180.7

Thus, we could drive 8181 miles

3 0
3 years ago
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