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3 years ago

Two numbers have a sum of 18, and 4 times the first number minus the second number is equal to 17. What is the smallest number?

Mathematics

1 answer:

sammy [17]3 years ago

4 0

Answer:

The smallest number is 7

Step-by-step explanation:

Using simultaneous equation;

x+y = 18.....(1)

4x-y = 17.....(2)

from equation (1)..

x+y = 18

y = 18-x...(3)

substitute y into equation (2)

4x-y = 17

4x-(18-x) = 17

4x-18+x = 17

4x+x = 17+18

5x = 35

x = 35÷5

x = 7

substitute x into equation (3)

y = 18-x

y = 18-7

y = 11

Therefore; x=7

y=11

11+7=18

(4×7)-11=17

the smallest number is 7

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The answer I think you are looking for is 4,392.

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3 years ago

Find the product. (a^3b)^2 • 4ab3

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3 years ago

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3 years ago

X y

aalyn [17]

Answer is
<span>C) y = -2x + 3 </span>

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solutions matched the table above

5 0

2 years ago

Read 2 more answers

According to a study done by Otago University, the probability a randomly selected individual will not cover his or her mouth wh

nirvana33 [79]

Answer:

47.52% probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth

Step-by-step explanation:

For each individual, there are only two possible outcomes. Either they cover their mouth when sneezing, or they do not. The probability of an individual covering their mouth when sneezing is independent of other individuals. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

According to a study done by Otago University, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267.

This means that $p = 0.267$