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Lyrx [107]
3 years ago
10

The sum of two numbers is 18. The quotient of the two numbers is 17. What are the two numbers?

Mathematics
1 answer:
posledela3 years ago
5 0
Let the two numbers be x and y
x + y = 18 . . . . . . . . (1)
x/y = 17 . . . . . . . . (2)
from (2): x = 17y
substituting for x in (1), gives
17y + y = 18
18y = 18
y = 18/18 = 1
x = 17y = 17(1) = 17

Therefore the two numbers are: 1 and 17
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The volume of a rectangular prism, in cubic meters, is given by the expression x to the 3rd power
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power of 3

Step-by-step explanation:

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If 2x-y equals 120, what are the values of x and y?
krek1111 [17]
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3 years ago
Read 2 more answers
The​ life, in​ years, of a certain type of electrical switch has an exponential distribution with an average life β=44. If 100 o
Bond [772]

Answer:

0.9999

Step-by-step explanation:

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\bf P(X

So, the probability that a switch fails in the first year is

\bf P(X

Now we have 100 of these switches installed in different systems, and let Y be the random variable that measures the the probability that exactly k switches will fail in the first year.

Y can be modeled with a binomial distribution where the probability of “success” (failure of a switch) equals 0.0225 and  

\bf P(Y=k)=\binom{100}{k}(0.02247)^k(1-0.02247)^{100-k}

where  

\bf \binom{100}{k} equals combinations of 100 taken k at a time.

The probability that at most 15 fail during the first year is

\bf \sum_{k=0}^{15}\binom{100}{k}(0.02247)^k(1-0.02247)^{100-k}=0.9999

3 0
3 years ago
determine by graphing f(x)= x^4-16x^3 + 94x^2-240x+225. g(x)= 1\x-4 - 1 Determine where f(x)=g(x) by graphing
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7 0
4 years ago
An architect plans to buy 5 stone spheres and 3 stone cylinders. For the same​ amount, she can buy 2 stone spheres and 6 stone c
Vedmedyk [2.9K]

The cost of each stone sphere is $ 36.81

<em><u>Solution:</u></em>

Given that,

An architect plans to buy 5 stone spheres and 3 stone cylinders

For the same​ amount, she can buy 2 stone spheres and 6 stone cylinders

Let "x" be that same amount

Let "a" be the cost of each stone sphere

Cost of each stone cylinder = $ 36.81

Therefore,

x = 5 stone spheres and 3 stone cylinders

x = 5a + 3(36.81)

Similarly,

x = 2 stone spheres and 6 stone cylinders

x = 2a + 6(36.81)

Equate both,

5a + 3(36.81) = 2a + 6(36.81)\\\\5a + 110.43 = 2a + 220.86\\\\5a - 2a = 220.86 - 110.43\\\\3a = 110.43\\\\a = 36.81

Thus cost of each stone sphere is $ 36.81

7 0
3 years ago
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