19) On March 12th, the cost of gas was $2.46 per gallon. After March 12th, the
price of gas rose at a rate of $0.05 per day for
the next three weeks. If d represents the
number of days after March 12th, write and
solve an equation to find how many days it
took for the gas price to reach $2.96. On which
date did the price reach $2.96?

00.5d+2.46=2.96= 10 days

Step-by-step explanation:

Using this equation you can solve for d by moving the +2.46 to the other side of the = sign and this becomes 00.5d=2.96-2.46, from there we can move the 0.05 over to isolate the d. The equation should look like d=0.50/0.05, this than calculates to 10 days and the price of $2.96 was reached on the 22nd of March.

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared