All categories

3 years ago

Here is a riddle:

Mathematics

1 answer:

lilavasa [31]3 years ago

8 0

Answer:

The system of inequalities that represents this situation will be:

$f + s < 10$

$f - s > 3$

Step-by-step explanation:

Let 'f' represent the first number

Let 's' represent the second number.

Given that the sum of the two numbers is less than 10. As 'less than' can be represented by '<'.

so the inequality would be: f + s < 10

Given that If we subtract the second number from the first, the difference is greater than 3. As 'greater than' can be represented by '>'.

so the inequality would be: f-s > 3

Thus, the system of inequalities that represents this situation will be:

$f + s < 10$

$f - s > 3$

You might be interested in

A new restaurant with 134 seats is being planned. Studies show that 62% of the customers demand a smoke-free area. How many se

zzz [600]

Answer: 100

Step-by-step explanation:

Given : The total number of seats planned in new restaurant =134

The percentage of customers demand a smoke-free area = 62%

It can also be written as $62\%=\dfrac{62}{100}=0.62$

The mean of this binomial distribution will be :-

$\mu=np\\\\\mu=(134)(0.62)=83.08$

Standard deviation:-

$\sigma=\sqrt{np(1-p)}\\\\\Rightarrow\sigma=\sqrt{134(0.62)(0.38)}\approx5.6$

Now, the number of seats should be in the non-smoking area in order to be very sure of having enough seating there :-

$\mu+3\sigma=83.08+3(5.6)=99.88\approx100$

4 0

3 years ago

Three times a number is subtracted from another number and the difference is 3. The sum of the two numbers is 31. What is the

Brut [27]

Using the equations y-3x=3 and x+y=31 you can find that x=7 and y=24. There for x is the smaller of the two numbers.

5 0

3 years ago

Given the equation 4x+5y=20

tester [92]

I hope this helps you

4 0

3 years ago

105% of 260 What is the answer?

damaskus [11]

Percent means parts out of 100
105%=105/100=1.05
'of' means multiply

105% of 260=1.05 times 260=273

6 0

3 years ago

Read 2 more answers

The following stem-and-leaf plot represents the scores earned by Mr. Roberts's class on their most recent science test.

Alinara [238K]

First we need to count the total number scores. This can be done from the stem and leaf plot. The total number of scores are 19. The total number of values is odd, so the median position will be:

$\frac{19+1}{2}=10th$

Thus the 10th score is the median score for the class of Mr. Robert. The 10th score from the stem and leaf plot is 81.

Thus 81 is the median score of Mr. Robert's Class.

5 0

3 years ago

Read 2 more answers