Answer:
1) either 5 or 6 students in the group
2) 6 rooms are booked
Step-by-step explanation:
1) x students
3x + 8 = apples
5 (x-1) + y (the one get less than 5 apples)
3x + 8 = 5 (x - 1) + y
3x + 8 = 5x - 5 + y
2x + y = 13
X 1 2 3 4 5 6
Y 11 9 7 5 3 1
because y < 5 so x = 5 or x = 6
2) x rooms are booked
4x + 20 total students
8 (x-1) + y (the students in room not full))
4x + 20 = 8 (x-1) + y
4x + 20 = 8x - 8 + y
4x + y = 28
X 1 2 3 4 5 6
Y 24 20 16 12 8 4
y < 8 answer is 6 rooms
I think that the answer is A.
Answer- x=9.16 x signifies how much more money the student needs to add to the $20 to reach 350 in 12 months.
Explanation- divide both sides by 12, then subtract 20.
(red, green) = (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
Size of sample space = 18.
Sandy ran 5 ½ during the second hour.
- Total amount Sandy used to jog for 2 hours = 13 miles
- Amount Sandy used to run in the 1st hour = 7 ½
<h2>Further Explanation</h2>
Therefore the amount Sandy used to run in the 2nd hour = Total amount Sandy used to jog for 2 hours – Amount Sandy used to run in the 1st hour
= 13 – 7 ½ (and can be expressed as 7 + ½)
= 13 – (7 + ½)
= 13 – 7 – ½
= 6 – ½ (otherwise expressed as 6/1 – 1/2)
= (6 x 2) – (1 x 1) / 2
= (12) – (1) / 2
= 12 – 1 / 2
= 11/2
= 5 ½
Hence, Sandy ran 5 ½ miles during the second hour.
Based on the above expression, it is observed that there is an element of fractions in the math problem. Also, BODMAS was clearly used to derive the solution to the given question.
Recall, 13 – (7 + ½). The mathematical signs, (–) and (+) were multiplied; one of mathematics rule states that – x + = –; thus 13 – 7 – ½
Notably, fractions deal with denominators and numerators; and in these questions, with the help of BODMAS, they (6/1 – 1/2) were used to factor each other out to derive the final answer 5 ½.
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KEYWORDS:
- bodmas
- fractions
- mathematical sign
- denominators
- numerators