Percent means parts out of 100
70%=70/100=7/10
7/10 of x=28
'of' means multiply
7/10 x=28
multiply both sides by 10/7 to get rid of fraciton
x=40
the number is 40
In the image, as denoted by similar sides OP and MN, we can conclude that the 2 triangles are similar triangles. To look for the value of x (which we can substitute later to find the length of segment LP), we relate the relations of segments LO and LP to segments LM and LN. This relation is shown below:
LO/LP = LM/LN
22 / x+12 = 30 / x+12 + 5
22 / <span>x+12 = 30 / x+17
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Cross-multiplying:
30x + 360 = 22x + 374
Isolating x to one side of the equation by subtracting 22x and 360 from both sides:
30x + 360 - 360 - 22x = 22x + 374 - 360 - 22x
8x = 14
x = 1.75
Since we now have the value of x, we substitute this to the equation of LP:
LP = x + 12
LP = 1.75 + 12
LP = 13.75
Therefore the value of LP is 13.75 in.
Answer:
that means the system has no solutions
Answer:
(16 x^8 - x^3 + 6)/(2 x^3)
Step-by-step explanation:
Simplify the following:
(64 x^8 - 4 x^3 + 24)/(8 x^3)
Factor 4 out of 64 x^8 - 4 x^3 + 24:
(4 (16 x^8 - x^3 + 6))/(8 x^3)
4/8 = 4/(4×2) = 1/2:
Answer: (16 x^8 - x^3 + 6)/(2 x^3)
Say the question more clearly please
