Jarod has budgeted at most $1250 for a vacation. he has already spent $439 on airfare. write and solve an inequality to determine the amount of money left in jarrod's budget.

$439 + x ≤ $1250

x ≤ $811

Step-by-step explanation:

Since Jarod can spend at most $1250 on his vacation, that means he must spend that amount or below, so when setting up the inequality the sum of his airfare and remaining money must not be higher than $1250 or ≤ $1250.  Since the only thing Jarod has bought so far is airfare, his inequality is:

$439 + x ≤ $1250

Subtracting $439 from both sides: $439 + x - $439 ≤ $1250 - $439

Solve for 'x':  x ≤ $811

60

step-by-step explanation:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.