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wolverine [178]
3 years ago
11

1/a+1/b=c solve for b how would i do this

Mathematics
1 answer:
olganol [36]3 years ago
8 0

a cheap way to go about it is, let's do away with the denominators, and we'll do so by simply multiplying both sides by the the LCD of all fractions, in this case, that'd be "ab", so we multiply both sides by "ab".


\bf \cfrac{1}{a}+\cfrac{1}{b}=c\implies\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{ab}}{ab\left( \cfrac{1}{a}+\cfrac{1}{b} \right)=ab(c)}\implies b+a=abc \\\\\\ a=abc-b\implies a=\stackrel{\textit{common factor}}{b(ac-1)}\implies \cfrac{a}{ac-1}=b

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Three farmers buy a total of 2,249 acres of land at an auction, Farmer Mel buys land that is 3 times as many acres as Farmer Cas
fgiga [73]

Answer:

Farmer Anne's land = 173 acres

Farmer Cassius = 519 acres

Farmer Mel = 1,557 acres

Step-by-step explanation:

Total acre = 2,249

Let

Farmer Anne's land = x

Farmer Cassius = 3x

Farmer Mel = 3(3x) = 9x

x + 3x + 9x = 2,249

13x = 2,249

x = 173

Farmer Anne's land = x = 173 acres

Farmer Cassius = 3x

= 3(173)

= 519 acres

Farmer Mel = 3(3x) = 9x

= 9(173)

= 1,557 acres

Therefore,

Farmer Anne's land = 173 acres

Farmer Cassius = 519 acres

Farmer Mel = 1,557 acres

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2 years ago
Ben can type 2/5 of a page of an essay in 1/2 minute. How much time would
DiKsa [7]

Answer:

1.25 minutes, or 1 minute 15 seconds

Step-by-step explanation:

We know that is speed is 0.4 pages per 0.5 minutes. This is 0.8 pages per 1 minute. If we divide 1/0.8, we get 1.25 or 1 minute 15 seconds.

4 0
2 years ago
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Help me with this please!
DedPeter [7]

Answer:

Area of triangle = 20√2

Step-by-step explanation:

Formula:

Area of triangle = bh/2

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h - height of triangle

<u>Distance formula</u>

d = √(x₂ - x₁)² +(y₂ - y₁)²

From the figure we can see that, the given triangle is right angled triangle.

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AB =  √(4 - 1)² +(7 - 3)² =  √(3² + 4²) = 5

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<u>To find the are of triangle</u>

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Therefore the area of triangle = 20√2 square units

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3 years ago
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Galina-37 [17]

Answer: If he gives Al 42, then he gives Bob 21 and Carl 84. Do those add up to 210? 42 + 21 + 84 = 147–that’s too small! Go bigger.

Step-by-step explanation:

So Since (D) is odd, shoot right to (E). If he gives Al 60, then he gives Bob 30 and Carl 120. Does that add up to 210? Yes, yes it does. 60 + 30 + 120 = 210.

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