There are 6 numbers on a normal dice. What is the probability that if you roll the dice, you'll get a number less than 5?

Answers

Answer 1
Answer: There are six numbers on a dice (6 out of 6). 
There are 4 numbers on a dice that are below 5 (4 out of 6)
So there is a 4 out of 6 chance (4/6) that you will roll a number less than 5.

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Solve for x.
- 3x + 8y = 5
6x - 2y =10

Answers

Let us solve this system by substitution.

-3x + 8y = 5
6x - 2y = 10

According to equation 2,

6x - 2y = 10

6x = 10 + 2y

thus, x = 10 + 2y / 6

substituting the value of x in equation 1,

-3 ( 10 + 2y / 6) + 8y = 5

-30 - 6y + 8y = 5 x 6 = 30

-30 + 2y = 30

2y = 60

Thus, y = 30.

Substituting the value of y in equation 2,

6x - 2y = 10

6x - 2(30) = 10

6x - 60 = 10

6x = 70.

Thus, x = 70/6.

Thus, x = 70 / 6     ( and y = 30)

4. The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to reach Saturn from Earth. (Assume both planets are aligned with the sun and are on the same side of the sun.) Show your work. Convert your answer into scientific notation if necessary.

Answers

Time = distance/speed. T = 1,200,000,000/28,000. This can be cancelled to 1,200,000/28. Rounding 28 to 30 for the estimate, divide by another ten: 120,000. Then divide by the remaining 3 from 30: 120,000/3 = 40,000. It will take approximately 40,000 hours.

Elisa has 6 1/4 pounds of flour. She would like to divide the flour equally into 5 bags. How much flour will be in each bag? 1 1/4 11 1/4 31 1/4

Answers

Answer:

1 1/4

Step-by-step explanation:

All this is, is division. You do 61/4 dived by 5. To divide fractions you flip the numerator and denominator of the second number and multiply them.

25/4 *1/5

Therefore the answer is 25/20 which is 1 and 5/20

That can be simplified to 1 and 1/4.

Please help me write a expression~Write a rule so that for every input, the output is an even number!

Answers

we are asked to write a rule so that for every input, the output is an even number. Even numbers are numbers with end-numbers of 0,2,4,6,8 while odd numbers are ending in digits 1,3,5,7. In this case, to get an even number we can multiply any x number by any even number. Try applying this rule to verify

Answer with explanation:

A Rule which expresses that for every input, the output is an even number can be written in many ways

f(x)=2 x , where x is any Integer.

f(n)=4n,  where n is any Integer.

f(s)=6s,  where s is any Integer.

f(k)=8k,  where k is any Integer.

----------------------

There can be many more expressions.

In these expressions,if you replace,x ,n,s and ,k by any integer , the result will be an Even Number(Positive Even Number or Negative Even Number).

Using the numbers 2,3,5,8 to make an equation to  equal 104

Answers

The resulting equation is 8[(5*3)-2]=104

Equation :

We have to make an equation by using numbers 2,3,5,8  and equal to 104

Now set the given number in such order so that we can get 104.

                 5*3*8-2*8=104\n\n8[(5*3)-2]=104

The resulting equation is 8[(5*3)-2]=104

Learn more about the equation of function here:

brainly.com/question/25841119

One correct answer is:

8(2×5 + 3) = 104.

Explanation:

We start with 104 and work backward.  

104 is divisible by 8:
104/8 = 13.

This means we need to make 13 out of 2, 3 and 5.

13 = 10+3.

This leaves us 10 to make out of 2 and 5; 2*5 = 10, so we have:

8((2*5)+3) = 104.

Find the range of f(x) = 3x - 5 for the domain {-1.5, 2, 4}A) {-8, 10, -1, -1}
B) {-9.5, 1, 7}
C) {8, 10, 1, 1}
D) {9.5, -1, -7}

Answers

For this case we have the following function:

f (x) = 3x - 5

To find the values of the range of the function, we substitute the values of the domain.

We have then:

For x = -1.5:

f (x) = 3 (-1.5) - 5\nf (x) = -4.5 - 5\nf (x) = -9.5

For x = 2:

f (x) = 3 (2) - 5\nf (x) = 6 - 5\nf (x) = 1

For x = 4:

f (x) = 3 (4) - 5\nf (x) = 12 - 5\nf (x) = 7

Therefore, the values of the range are given by:

{-9.5, 1, 7}

Answer:

the range of f (x) = 3x - 5 for the domain {-1.5, 2, 4} is:

B) {-9.5, 1, 7}

B is the answer

Because A and C could not be since the set have 4 results

D could not be because f(4)=. 12-5=7 not -7