Latanya leaves her house at 12: 30 p. m. and bikes at 12 mi/h to marta's house. she stays at marta's house for 90 minute. both girls walk back to latanya's house at 2.5 mi/h. they arrive at latanya's house at 3: 30 p. m. how far is marta's house from latanya's house?

Marta's house is 3.10 miles from Latanya's house

Step-by-step explanation:

* Lets explain how to solve the problem

- Latanya leaves her house at 12:30 p.M.

- She bikes at 12 mi/hr to Marta's house

- She stays at Marta's house for 90 minute

- Both girls walk back to latanya's house at 2.5 mi/h

- They arrive at latanya's house at 3:30 p.M.

- We need to know how far is Marta's house from latanya's house

∵ Latanya starts her trip at 12:30 p.M.

∵ She returns her home at 3:30 p.M.

∴ The time of her trip is  → 3:30 - 12:30 = 3 hours

- But she stays at at Marta's house for 90 minutes

∵ 1 hour = 60 minutes

∴ 90 minutes = 90 ÷ 60 = 1.5 hours

∴ The time from her house to Marta's house and from Marta's house

    to her house is → 3 - 1.5 = 1.5 hours

- Assume that the distance from her house to Marta's house is d

  and the time from her house to Marta's house is ,

  the time from Marta's house to her house is

∵ Latanya bikes at 12 mi/h to Marta's house

∵ Distance = speed × time

∴ d = 12 ×

∵ Both girls walk back to latanya's house at 2.5 mi/h

∴ d = 2.5 ×

- Equate the two expressions of d

∴ 12 = 2.5 ⇒ (1)

∵ + = 1.5

- Subtract from both sides

∴ = 1.5 - ⇒ (2)

- Substitute equation (2) in equation (1)

∴ 12 = 2.5(1.5 - )

∴ 12 = 3.75 - 2.5

- Add 2.5 to both sides

∴ 14.5 = 3.75

- Divide both sides by 14.5

∴ = hour

∴ She spends 15/58 hour to bike to Marta's house

- Lets find d

∵ d = 12

∴ d = miles

* Marta's house is 3.10 miles from Latanya's house

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )