Answer: 9 3/4 oz
Step-by-step explanation:
12 - 2 1/4 = 9 3/4 oz
Answer:
x^2(3x-2) cubic inches OR in^3
OR
3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 cubic inches OR in^3
I AM UNAWARE IF YOU ASKED THAT ONE SIDE IS (3X-2) OR ALL. I WILL ANSWER BOTH PARTS
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<em>NOTE</em><em>:</em><em> </em><em>'</em><em>^</em><em>'</em><em> </em><em>MEANS</em><em> </em><em>TO</em><em> </em><em>THE</em><em> </em><em>POWER</em><em> </em><em>OF</em><em>.</em><em>.</em>
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Volume = v, abc = 3 sides of cube (height, width, length)
Using the formula for volume in a cube,

We can solve this.
If one side is (3x-2)in,
- (3x-2)(x)(x) = v.... x are the other two sides
- x^2(3x-2) = v
x^2(3x-2) cubic inches OR in^3
If all sides are (3x-2)in,
Use the formula,

We can solve this.
- (3x-2)(3x-2)(3x-2) = v
- (3x-2)^3 = v.... 3x = a and -2 = b
- (3x)^3 + [(3)(3x)(2)][2-3x] - (2)^3 = v
- 27x^3 + 18x(2-3x) -8 = v
- (27x^3 + 36x - 54x^2) - 8 = v.. Terms inside brackets - take 3x as common and leave out 8
- 3x(9x^2 -18x +12) = v... Take 3 as common again in the brackets
- 3x [ 3 ([3x^2 -6x] + 4) -8 = v....Take 3x common in the terms in square brackets
- 3x [ 3 [ 3x (x-2) + 4 ]] - 8 = v
- 3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 = v
3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 cubic inches OR in^3
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Answer:
1/3.
Step-by-step explanation:
The 2 events are independent so we multiply the 2 probabilities.
Prob(rolling an odd number) = 3/6 = 1/2.
Prob(rolling a number greater than 2) = 4/6 = 2/3.
The required probability = 1/2 * 2/3
= 2/6
= 1/3.
Answer: £1517.04
Step-by-step explanation:
The fuel expenses for the vans will be calculated as:
Vans:
Since the average distance travelled per day is 198km and the average distance travelled per litre is 9km, the van would use:
= 198/9
= 22 litres
Since there are 8 vans, they'll use:
= 22 × 8 = 176 liters
Trucks:
Since the average distance travelled per day is 620km and the average distance travelled per litre is 6.2km, the truck would use:
= 620/6.2
= 100
Since there are 10 trucks, they'll use:
= 100 × 10 = 1000 liters
The amount of liters for both the van and the truck will be:
= 176 liters + 1000 liters
= 1176 liters
The fuel cost will then be:
= 1176 × 1£1.29
= £1517.04