Step 1) Add x to both sides and simplify
1+4x=4
Step 2) Subtract 1 from both sides
4x=3
Step 3) Divide everything by 4
x=4/3 (1 1/3) (1.333)
Answer:
21
Step-by-step explanation:
We need to utilise one important angle in order to answer this question which is
→ Angles in a triangle add up to 180°
Using this information we can set up an equation to find the value of x
⇒ Form equation using the important angle fact
→ x - 4 + 3x + 100 = 180
⇒ Simplify the 'x' and the numerical terms
→ 4x + 96 = 180
⇒ Minus 96 from both sides to isolate 4x
→ 4x = 84
⇒ Divide both sides by 4 to isolate x
→ x = 21
The value of x is 21
Question 1:
------------------------
Total points = 100
Total question = 40
Type of questions : 2-points question and 4-points questions
Assumed all 40 questions are 2-points questions.
Total points = 40 x 2 = 80
Difference in points = 100 - 80 = 20 points
Difference in the 2 type of questions = 4 - 2 = 2
Number of 4 marks questions = 20 ÷ 2 = 10
Number of 2 marks questions = 40 - 10 = 30
Answer: There are 10 4-marks questions and 30 2-marks questions.
------------------------------------------------------------------------------------------------
Question 2:
------------------------
Let x be the number of offices you need to clean.
Total cost = 315 + 4x
Total revenue = 25x
To break even,
315 + 4x = 25x
21x = 315
x = 15
Answer: You need to clean 15 offices to break even.
------------------------------------------------------------------------------------------------
Question 3:
------------------------
Total distance (including return trip) = 255 + 255 = 510 miles
Total time taken = 1.7 + 1.5 = 3.2 hours
Speed = Distance ÷ time
Speed = 510 ÷ 3.2 = 159.38 miles/hour
Answer: The average speed is 159.38 miles/hour
Answer:
49
Step-by-step explanation:
