(a) 32 orange marbles
the ratio of red : blue = 18 : 48 = 3 : 8 ( in simplest form )
the ratio of green : orange = 3 : 8 ( equal ratio )
divide green by 3 to obtain 1 part of ratio then multiply this value by 8 to obtain the amount of orange marbles
3 parts → 12
8 parts → 12 × = 32 orange marbles
The equation 4(x − 7) − 128 = 9x − 5(x + 6) has no solution
<h3><u>Solution:</u></h3>Given that 4(x − 7) − 128 = 9x − 5(x + 6)
We have to find the solution for this equation
4(x − 7) − 128 = 9x − 5(x + 6)
Let us use BODMAS rule to perform the sequence of operations
According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right.
So let us solve for brackets first
4x - 28 - 128 = 9x - 5x - 30
Now let us perform subtraction
4x - 156 = 4x - 30
Now move the terms from R.H.S to L.H.S
4x - 4x = -30 + 156
Since there is no value of x that will ever make this a true statement, the solution to the equation above is “no solution”
So this equation has no solution
Answer:
80.95
Step-by-step explanation:
Percentage increase = *100
=> (38-21)* 100/21 = 80.9523%
The answer round it to the nearest 100th = 80.95%
Answer: C. Parabola
Definition: a parabola is a conic section in which it is mostly characterised of having a U-shape wherein it is symmetrical and an open plane curve.
