1. the groundskeeper of estofer park needs to mow 14,623 sq. ft. of grass, he can mow 13 sq. ft. of grass in one minute. how many minutes will it take him to mow the entire pare? give your answer as a mixed number in simplest form.

It would take minutes to mow the entire park.

Step-by-step explanation:

Since we have given that

Area of park = 14,623 sq. feet

According to question,  He can mow 13 sq. ft. of grass in one minute.

So, we can use "Unitary method":

In 1 minute, he can mow = 13 sq. feet

So, number of minutes it would take to mow entire area is given by

Hence, it would take minutes to mow the entire park.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form