WILL GIVE BRAINLIEST!!! Marco runs a mobile pet grooming business. He pays $50 per month for insurance on his van
plus $2.50 per gallon of gasoline. Write an inequality to find the number of gallons of gasoline
purchased if he wants these costs to be no more than $200 per month, where g is the number of
gallons. Then solve.
2.5g -50 < 200 g <100
2.5g +50 < 200; g <100
2.5g +50 S 200 g 560
2.5g +502 200 g 260

His total expense each month is . He wants to spend no more than 200, so it has to be less than that:

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".

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15