Drag numbers to fill in the table to organize the information in this problem. carter works for a fence company. he can paint a fence at a rate of 2.25 feet per minute and stain a fence at a rate of 0.75 foot per minute. this week he needs to paint two fences. the first fence is 145.8 feet long, and the second fence is 76.2 feet long. how long will it take him to paint both fences?

394.67 minutes (or about 6.58 hours)

Step-by-step explanation:

For 145.8 feet long fence:

At a rate of 2.25 feet per minute, its gonna take him

 minutes to pain

Also

At a rate of 0.75 feet per minute, its gonna take him

 minutes to stain

For 76.2 feet long fence:

At a rate of 2.25 feet per minute, its going to take him

 minutes to pain

At a rate of 0.75 feet per minute, its gonna take him

 minutes to stain

In total, it's gonna take him:

64.8 + 194.4 + 33.87 + 101.6 = 394.67 minutes

In hours, that is 394.67/60 = 6.58 hours

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

60°

step-by-step explanation:

the measure angle of c in an isosceles triangle abc is 60° because in isosceles triangle,the measures of all the angles is 60°.