Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A or B? Why?

A

P will be closer to A because it

distance from A to B.

P will be closer to A because it will

the distance from A to B.

O P will be closer to B because it will be

the distance from B to A.

P will be closer to B because it will be

the distance from B to A.

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A.

Step-by-step explanation:

Given that point P partitions a directed line segment from A to B into the ratio 3:4, we are to determine how close P is to either A or B.

To do this, we take an example.

Let the length of line segment AB be 14 Units.

Since P divides AB in the ratio 3:4

Therefore, from the above, we can conclude that P will be closer to A as its distance from A is shorter than its distance from B.

The correct option is A.

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: