400% of a number is 45. Find the number

2 answers:

5 0

400% = 400/100

Write an equation; 400% of which number is equal to 45

400/100x = 45
400x = 4500
x = 4500/400
x = 11.25 this is the number

Check (400x11.25) / 100 = 45

horsena [70]3 years ago

3 0

The answer is is 180

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Directed line segment AB has endpoints A(2,3) and B(8,15). Point P has coordinated P(6,11). What ratio does P partition AB into?

Vladimir79 [104]

Refer to the graph shown below. It confirms that points A, B and P are
collinear.

Calculate the length of AP (as a).
a = √[(6 - 2)² + (11 - 3)²]
= 8.9443

Calculate the length of BP (as b).
b = √[(8 - 6)² + (15 - 11)²]
= 4.4721

Calculate ratio a/b.
a/b = 8.9443/4.4721 = 2
Therefore P partitions AB in a 2:1 ratio so that AP = 2*BP.

Answer: 2:1 ratio.