Answer:
42
Step-by-step explanation:
rectangle = 8x9 = 72
1/3 0f 72 = 24 (72-24= 48)
1/8 of 48 =6 48-6 =42
red-----24
green-----6
unpainted-----42
24+6+42+=72
Answer:
<u>The number is 67</u>
Step-by-step explanation:
<u>Equations</u>
Let's consider the number 83. The tens digit is 8 and the unit digit is 3. Note the tens digit's addition to the number is 80, and the unit's addition is 3. This means the tens digit adds 10 times its value, that is, 83 = 8*10 + 3.
Now, let's consider the number ab, where a is the tens digit, and b is the unit digit. It follows that
Number=10*a+b
The question gives us two conditions:
1) The sum of a two-digits number is 13.
2) The tens digit is 8 less than twice the units digit.
The first condition can be expressed as:
a + b = 13 [1]
And the second condition can be written as:
a = 2b-8 [2]
Replacing [2] into [1], we have:
2b-8 + b = 13
Operating:
3b = 13 + 8
3b = 21
Solving for b:
b = 21 / 3 = 7
Substituting into [2]:
a = 2*(7) - 8 = 6
Thus, the number is 67
So, questions 1 through 3 are pretty vague and you can basically put whatever you think. But... as a hint you might want to base your answers to 1 through 3 on question 4, which is more specific and gives you some clues.
For example, question 2 asks "When do people usually need Kleenexes?" Question 4 basically answers this for you by saying "...blah blah blah are used throughout the duration of a cold." So you could easily say that people usually need Kleenexes when they are sick. You could use this same type of reasoning to answer questions 1 and 3.
To answer 4 itself you need to know how to use confidence intervals. Are you familiar with that?
Question 5 will be based off of your answer to question 4.
Answer:
x = - 2, x = 10
Step-by-step explanation:
Given
x² - 8x - 20 = 0
Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (- 8)
The factors are - 10 and + 2 , since
- 10 × 2 = - 20 and - 10 + 2 = - 8 , then
(x - 10)(x + 2) = 0
Equate each factor to zero and soilve for x
x + 2 = 0 ⇒ x = - 2
x - 10 = 0 ⇒ x = 10
