1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sp2606 [1]
3 years ago
5

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

You might be interested in
How many fewer cans of food were collected by 87369 than 91761?
denpristay [2]

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

91,761 - 87,369 = 4,392

3 0
3 years ago
Find the product. (a^3b)^2 • 4ab3
elena-14-01-66 [18.8K]
(a^3b)^2 • 4ab^3
a^6b • 4ab^3
4a^6b+1b^3
6 0
3 years ago
Suppose Albers Elementary School has 32 teachers and Bothell Elementary School has 61 teachers. If the total number of teachers
Contact [7]

Answer: 31 teachers

Step-by-step explanation: let the number of teachers that teach in both school be x

By using venn diagram:

32 - x + x + 61 - x = 62

93 - x = 62

X = 93 - 62

X = 31

7 0
3 years ago
X y
aalyn [17]
Answer is
<span>C) y = -2x + 3 </span>

when x = 0, y = 3
when x = 1, y = -2(1) + 3 = -2 + 3 = 1
when x = 2, y = -2(2) + 3 = -4 + 3 = -1

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

What is the probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth

10 individuals, so n = 10.

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which

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

P(X = 0) = C_{10,0}.(0.267)^{0}.(0.733)^{10} = 0.0448

P(X = 1) = C_{10,1}.(0.267)^{1}.(0.733)^{9} = 0.1631

P(X = 2) = C_{10,2}.(0.267)^{2}.(0.733)^{8} = 0.2673

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0448 + 0.1631 + 0.2673 = 0.4752

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

5 0
3 years ago
Other questions:
  • HELPHELPHELPHELPHELP PLZ GOD Find the area of a square with sides of length 1/3 yard.
    5·1 answer
  • Chelsea wants to buy a new iPhone that costs $324. She
    12·2 answers
  • O quadro de 3^5 é = contas
    6·1 answer
  • Ben works for software company in Cleveland. To train new employees, Ben travels to their two other locations, Buffalo and Phila
    15·1 answer
  • Dodd knit
    15·1 answer
  • Evaluate F(x)=-4x+7 when x is 1
    10·1 answer
  • How do you write 345,000,000,000 in scientific notation
    12·1 answer
  • The height, in inches, of each of three boys is 54.0, 48.5, and 46.0, respectively. The height of the fourth boy is denoted by h
    10·1 answer
  • X + 2x +17=25 I need the answer and need do you know how to check if it's right ​
    10·2 answers
  • П
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!