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IRINA_888 [86]
4 years ago
6

the sum of three numbers is 45. the second of the three numbers is three more than twice the first number, x. the third number i

s two more than the first number, x. which equation can be used to solve for the first number, x?
Mathematics
2 answers:
TiliK225 [7]4 years ago
6 0
Your equation is x + (3+2x) + (2+x) = 45
x being the first number, (3+2x) being the second, and (2+x) being the third.
not sure if i was supposed to try to simplify. hope this helps!!
malfutka [58]4 years ago
4 0

Answer:

x + (2x + 3) + (x + 2) = 45

Step-by-step explanation:

Here, x represents the first number,

Since, second number is three more than twice the first number,

⇒ Second number = 2x + 3,

The third number is two more than the first number,

⇒ Third number = x + 2

Thus, the sum of these numbers = x + (2x + 3) + (x + 2)

According to the question,

Total sum = 45

⇒ x + (2x + 3) + (x + 2) = 45

Which is the required equation.

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3 years ago
A grandfather clock’s pendulum has a period of 4.5 seconds. What is its frequency? Round to the nearest hundredth.
Brilliant_brown [7]

Answer: 0.22hz

Step-by-step explanation:

Hi to answer this question we have to analyze the information given:

  • <em>Period (T) = 4.5 Seconds </em>

So, to calculate the frequency of the pendulum we have to apply the formula;

Frequency (f)= 1 / period  

Replacing with the value given:

f = 1/ 4.5 sec = 0.22 hz

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7 0
3 years ago
A scientist inoculates​ mice, one at a​ time, with a disease germ until he finds 3 that have contracted the disease. If the prob
UkoKoshka [18]

Answer:

The probability that 8 mice are​ required is 0.2428.

Step-by-step explanation:

Given : A scientist inoculates​ mice, one at a​ time, with a disease germ until he finds 3 that have contracted the disease. If the probability of contracting the disease is two sevenths.

To find : What is the probability that 8 mice are​ required? The probability that that 8 mice are required is nothing ?

Solution :

Applying binomial distribution,

P(X=r)=^nC_r p^rq^{n-r}

Where, p is the probability of success p=\frac{2}{7}

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n is total number of trials n=8

r=3

Substitute the values,

P(X=3)=^8C_3 (\frac{2}{7})^3 (\frac{5}{7})^{8-3}

P(X=3)=\frac{8!}{3!5!}\times \frac{8}{343}\times (\frac{5}{7})^{5}

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P(X=3)=0.2428

Therefore, the probability that 8 mice are​ required is 0.2428.

5 0
4 years ago
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