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Usimov [2.4K]
3 years ago
9

The sum of three numbers is 105. The third number is 2 times the first. The first number is 5 less than the second. What are the

numbers?
Mathematics
1 answer:
Radda [10]3 years ago
5 0

Answer:

The second number = 30

The first number = 25

The third number = 50

Step-by-step explanation:

Let

The second number = x

The first number = x - 5

The third number = 2(x - 5)

Total = 105

105 = x + (x - 5) + 2(x - 5)

105 = x + x - 5 + 2x - 10

105 = 4x - 15

105 + 15 = 4x

120 = 4x

x = 120/4

x = 30

The second number = x

= 30

The first number = x - 5

= 30 - 5

= 25

The third number = 2(x - 5)

= 2(30 - 5)

= 2(25)

= 50

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The diagram shows a circle with center C, a diameter RS, and an inscribed triangle RST.
snow_tiger [21]

Answer:

x = 26

Step-by-step explanation:

m<RTS = 4x - 14 (given)

Based on the inscribed angle theorem, the measure of the inscribed angle in a semicircle = right angle (90°)

Therefore,

4x - 14 = 90

4x - 14 + 14 = 90 + 14 (addition property of equality)

4x = 104

4x/4 = 104/4

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6 0
3 years ago
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gavmur [86]
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3 years ago
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zimovet [89]

Answer:

Option D

Step-by-step explanation:

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3 0
2 years ago
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The population of rabbits on an island is growing exponentially. In the year 1994, the population of rabbits was 9600, and by 20
drek231 [11]

Answer:

49243

Step-by-step explanation:

Given that the population of rabbits on an island is growing exponentially.

Let the population, P=P_0e^{bt}

where, P_0 and b are constants, t=(Current year -1994) is the time in years from 1994.

In 1994, t=0, the population of rabbit, P=9600, so

9600=P_0e^{b\times 0}

So, P_0=9600

and in 2000, t=2000-1994=6 years and population of the rabbit, P=18400

18400=9600 \times e^{b\times 6} \\\\\frac{18400}{9600}=e^{b\times 6} \\\\

\ln(23/12}=6b \\\\

b = \frac{\ln{1.92}}{6} \\\\

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On putting the value of P_0 and b, the population of the rabbit after t years from 1994 is

P=9600 \times e^{0.109\times t}

In 2009, t= 2009-1994=15 years,

So, the population of the rabbit in 2009

P=9600 \times e^{0.109\times 15}=49243

Hence, the population of the rabbit in 2009 is 49243.

7 0
3 years ago
If x + y is rational, must x and y each be rational?
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8 0
3 years ago
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