Answer:
x < 15
Step-by-step explanation:
we want to isolate x, so we get rid of the 3, that is being divided by 2x, we take it to the other side to multiply.
2x < 10 x 3
2x < 30
we move the 2 that is multiplying x to the other side, since it was multiplying, we make inverse operations and now the 2 will divide 30
x < 30 ÷ 2
x < 15
Answer:
√16 or 10.77033
Step-by-step explanation:
distance formula
Answer:
Hence the width, length is 20 cm and height is 10 cm
Step-by-step explanation:
Since the box has a square base, let length = width = x. Also, let the height = y, therefore:
The volume of box = width * length * height
4000 = x * x * y
4000 = x²y
y=4000/x²
The surface area (SA) = area of the base + sum of the area of each side
SA = x² + xy + xy + xy + xy
SA = x² + 4xy
substitute y = 4000/x²
SA = x² + 4x(4000/x²)
SA = x² + 16000/x
Taking the derivative:
SA' = 2x - 16000/x²
making SA' = 0:
0 = 2x - 16000/x²
2x = 16000/x²
2x³ = 16000
x³ = 8000
x = 20 cm
y = 4000 / x² = 4000 / 20² = 10 cm
Hence the width, length is 20 cm and height is 10 cm
Answer:
Each friend bought 3.45 bushels of corn.
Step-by-step explanation:
12 2/5 as a decimal is 12.40. You do 22.75 minus 12.40, which gives you 10.35. Next you do 10.35 divided by 3, which gives you your final answer of 3.45.
Answer:
x=2
Step-by-step explanation:
5x-10=0 add 10 on both sides
+10 +10
-------------- -10-10=0
0+10=10
5x=10
5x=10 divide 5x by 5 and 10 divided by 5
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5 5
x=2 because 10 divided by 5=2
