Answer:
A. x = 12
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use PT to solve for the missing side.
<u>Step 2: Identify Conversions</u>
Leg <em>a</em> = <em>x</em>
Leg <em>b</em> = 5
Hypotenuse <em>c</em> = 13
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute: x² + 5² = 13²
- Isolate <em>x</em> term: x² = 13²- 5²
- Exponents: x² = 169 - 25
- Subtract: x² = 144
- Isolate <em>x</em>: x = 12
Answer:
the snail travels 30 mm per minute
Step-by-step explanation:
Well 12 cenitmters divided by 4 minutes equals the amount of centimeters the snail travels per minute, which is 3 centimeters (12 / 4 = 3). but be careful cuz we need to convert the 3 cm to mm. 1 cm = 10 mm so 3 cm = 30 mm.
the snail travels 30 mm per minute
Say if you have 55/10 thats an improper fraction so in order to turn that into a mixed number divide 55 by 10 which you will get 5. Something right so the 5 will be your whole number 5 then your leftover is 5 so you will put that 5 over 10 so the mixed number will be 5 5/10 but you can simplify that to 5 1/2
Based on the given values above, here is the solution to find if how many ants there will be after 10 weeks and 20 weeks.
Since the population increases by 12%. we need to get 12% of the population every week.
500 x .12 = 60.
1st week = 560
2nd week = 627.2
3rd week = 702. 46
4th week = 786.76
5th week = 881. 17
6th week = 986.91
7th week= 1,105.34
8th week= 1,237.98
9th week= 1, 386.54
10th week = 1, 552.92
11th week = 1,739.27
12th week = 1,947.98
13th week= 2,181.74
14th week=2, 443.55
15th week = 2,736.76
16th week = 3, 065. 17
17th week = 3,432.99
18th week= 3,844.95
19th week= 4,306.34
20th week = 4,823.10
Therefore, after 10 weeks, there will be 1,553 ants and after 20 weeks, there will be 4,823 ants.
let us take the smallest integer as x
the second smallest as x+1
and the largest as x+2
since the sum is -204 we should add all of it to get the answer
therefore x+x+1+x+2=-204
3x+3=-204
3x=-204-3
3x=-207
x=-207/3
x=-69
the largest number is x+2
therefore the largest number is -67
to check whether it is right just add them and check whether we get - 204
therefore -69+-68+-67=
-204
therefore the answer is -67
