Point O is on line segment NP Given OP = 4x - 5 , NP = 3x + 4 , and NO = 2x - 3 determine the numerical length of OP .

11 units.

Step-by-step explanation:

Given: Point O is on line segment NP.

i.e. NP is the combination of NO and OP.

i.e. NP = NO+OP                    (1)

Since , OP = 4x - 5 , NP = 3x + 4 , and NO = 2x - 3

Substitute these values in (1), we get

i.e. x= 4

Now, OP = 4(4)-5= 16-5= 11 units

Hence, the numerical length of OP is 11 units.

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

correct answer is b. 27/8

step-by-step explanation: