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Gelneren [198K]
4 years ago
13

If a and b represent positive real numbers, what is the inequality when solved for V?

Mathematics
1 answer:
Nutka1998 [239]4 years ago
8 0

Answer:

C. v < (3au - 60)/2b

Step-by-step explanation:

Given

au/2 - bv/3 > 10

Required

Solve for v

We start by rewriting the inequality

au/2 - bv/3 > 10 becomes

½(au) - ⅓(bv) > 10

Multiply both sides by 6

6 * ½(au) - 6 * ⅓(bv) > 6 * 10

3au - 2bv > 60

Make -2bv the subject of formula

-2bv > 60 - 3au

Multiply both sides by -½

[When multiplying or dividing an inequality by a negative number, the sign of the inequality will change]

-½ * -2bv < -½(60 - 3au)

bv < -½(60 - 3au)

bv < ½(3au - 60)

bv < (3au - 60)/2

Divide both sides by b

v < (3au - 60)/2b

Option C is correct

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The gear ratio of two gears is the ratio of the number of teeth of the larger gear to the number of teeth of the smaller gear. I
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Answer:

24 gear.

Step-by-step explanation:

It is given that Gear A:Gear B=Gear B:Gear C.

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6 0
4 years ago
What is the least common denominator of 3/4, 4/5, 2/3?<br> A. 12<br> B. 15<br> C. 60<br> D. 20
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The least common denominator of 3/4, 4/5, and 2/3 can be found by finding the least common multiple of 4, 5, and 3.

List the multiples:

4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68

5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65

3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66

The least common denominator of 3/4, 4/5, and 2/3 is C. 60.
7 0
4 years ago
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