Answer:
Step-by-step explanation:
Express the 2 fractions with a common denominator of 21
multiply numerator/denominator of first fraction by 3
multiply numerator/denominator of second fraction by 7
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Answer:
Step-by-step explanation:
The area to be resurfaced is the area of the
whole circle including garden and lanes minus
the area of the garden.
Area of a circle is (pi)r2
radius of garden is (1/2)diameter = 8 m
Garden area: (pi)82 = 64(pi) m2
Diameter of garden plus traffic lanes is
16 + 2(6) because we add 6 m to both sides
of the diameter of the garden.
Full diameter = 16+12 = 28 m
Full radius = 28/2 = 14 m
Full area: (pi)142 = 196(pi) m2
Area to be resurfaced:
196(pi) - 64(pi) = 132(pi) m2 ≅ 415 m2
1 and 4/5. there is a website called 'webmath' that can help with that!
Answer:
9
Step-by-step explanation:
54
6 9
Answer: 120 students
Explanation:
Let x be the number of scopes
Let a be the number of student at school
1x = 5 students
But 5x = a
1x = 4 students
But the principal needs 6 additional scope so that all the students can use it.
=> (x + 6) = 4 students
=> 4(x + 6) = a
Thus,
5x = 4(x + 6)
5x = 4x + 24
5x - 4x = 24
x = 24
So, there are 24 scopes.
Plug x in both equation and compare:
5x = a
5(24) = a
120 = a
4(x + 6) = a
4(24 + 6) = a
4(30) = a
120 = a
Therefore, the students at the school are 120
