Lucy's goal for her cycling class at the gym is to burn 450 calories in one hour. the number of calories, c, she actually burns in one hour varies from her goal by no more than 45 calories. which inequality represents this scenario?

|c − 450| ≤ 45
|c + 450| ≥ 45
|c − 45| ≤ 450
|c + 45| ≥ 450

a: 1/6, j: 1/4

step-by-step explanation: you are welcome

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.

the answer is 2/54

step-by-step explanation:

48 / 6 = x

in this case, x will equal the amount of money in each card!

x therefore will be 8.

trent had $8 in each birthday card.