Acontruction company can remove 1/4 metric tons of dirt from a construction site in 1/8 hours what is the unit rate in metric tons per hour

2 metric tons in an hour.

Step-by-step explanation:

The best way to do this is to convert all the fractions to decimals. The problem starts out looking like this.

Formula

Rate = Tons removed / hours

Tons Removed = 1/4 metric ton

Time taken = 1/8 hour

Rather than doing it with fractions, it is much easier to do it with decimals

1/4 = 0.25

1/8 = 0.125

Now what you get is rate = 0.25 / 0.125 = 2

So 2 metric tons can be removed in an hour

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.