Jan left her home and drove for 5.2 hours due north at a rate of 60 miles per hour. after visiting a friend, she drove due south for 2.4 hours at 55 miles per hour. how far is jan from home?

180 miles

Step-by-step explanation:

Going North

Formula

d = r * t

Givens

r = 60 mph

t = 5.2 hours

d = ?

Solution

d = 5.2 * 60 = 312 miles north

Going South

Givens

r = 55 mph

t = 2.4 hours

Solution

d = r * t

d = 55 * 2.4

d = 132

Distance from home

Formula: Distance from home = Distance North - Distance South

Distance North = 312  -   132 = 180 miles

180 miles

Step-by-step explanation:

Jan left her home and drove for 5.2 hours due north at a rate of 60 miles per hour. After visiting a friend, she drove due south for 2.4 hours at 55 miles per hour. Therefore, Jan is 180 miles away from home.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is