Answer:
x > -1
Step-by-step explanation:
-3x +3 < 6
-3x < 6 - 3 (subtract 3 from both sides)
-3x < 3 (divide both sides by 3)
-x < 1 (multiply both sides by -1, remember to flip the inequality when multiplying both sides by negative numbers)
x > -1 (answer)
Answer:
4⅝
Step-by-step explanation:
7¾ − 3⅛
Write as improper fractions.
7¾ = (7×4+3)/4 = 31/4
3⅛ = (3×8+1)/8 = 25/8
31/4 − 25/8
Find the common denominator (in this case, 8).
62/8 − 25/8
Subtract:
37/8
Convert to proper fraction. 8 goes into 37 4 times with a remainder of 5.
37/8 = 4⅝
Answer: The net sales is $2475 and the gross sales is $975.
Step-by-step explanation:
Since we have given that
Cost price = $1,500
Selling price = $2,500
Term 1/30 means buyer pays within 30 days of the date of sale, 1% discount will be allowed.
n/60 means the payment is not paid within 60 days and the full payment is made.
Amount of discount would be
So, Net sales = Sales - discount
Net sales =
and Gross sales = Net sales - Cost
Gross sales =
Hence, the net sales is $2475 and the gross sales is $975.
The total weight of candies is unknown. Let x = the total weight of candies.
"One student ate 3/20 of all candies and another 1.2 lb":
The first student ate (3/20)x plus 1.2 lb which is 0.15x + 1.2.
"The second student ate 3/5 of the candies and the remaining 0.3 lb."
The second student ate (3/5)x and 0.3 lb which is 0.6x + 0.3.
Altogether the 2 students ate 0.15x + 1.2 + 0.6x + 0.3.
That was all the amount of candies, so that sum equals x.
0.15x + 1.2 + 0.6x + 0.3 = x
Now we solve the equation for x to find what the total amount of candies was.
0.75x + 1.5 = x
-0.25x = -1.5
x = 6
The total amount of candies was 6 lb.
The first student ate 0.15x + 1.2 = 0.15(6) + 1.2 = 0.9 + 1.2 = 2.1, or 2.1 lb of candies.
The second student ate 0.6x + 0.3 = 0.6(6) + 0.3 = 3.6 + 0.3 = 3.9, or 3.9 lb of candies.
Answer: The first student ate 2.1 lb of candies, and the second student ate 3.9 lb of candies.