Answer: $222.73
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Work Shown:
x = pre-GST price
10% of x = 0.10x = tax amount
x + 0.10x = 1.10x = post-GST price = 245
1.10x = 245
x = 245/1.10
x = 222.7272 approximately
x = 222.73 is the price before tax.
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Check:
10% of 222.73 = 0.10*222.73 = 22.273 = 22.27
The tax amount ($22.27) is added to the pre-GST price to get
22.27+222.73 = 245
which matches the post-GST price mentioned.
The answer is confirmed.
Or another way to confirm the answer is to calculate this
1.10*222.73 = 245.003 = 245
Answer:
Step-by-step explanation:
The radius it .5 of the diameter so in this case the radius is 11. The formula for area is pi*r^2= pi*11^2=pi*121=380.13
Answer:
2/3 of her glasses
Step-by-step explanation:
If 1/2 liter apple juice fills 1/3 of her glasses, then twice that volume will fill twice as many glasses: 2/3 of her glasses.
Answer:
Expanded Notation Form:
97,367 =
90,000
+ 7,000
+ 300
+ 60
+ 7
Expanded Factors Form:
97,367 =
9 × 10,000
+ 7 × 1,000
+ 3 × 100
+ 6 × 10
+ 7 × 1
Expanded Exponential Form:
97,367 =
9 × 104
+ 7 × 103
+ 3 × 102
+ 6 × 101
+ 7 × 100
Answer:

Step-by-step explanation:
The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.
The volume of the square prism is given by
, where
is the base length and
is the height. Substituting given values, we have: 
The volume of a trapezoidal prism is given by
, where
and
are bases of the trapezoid,
is the length of the height of the trapezoid and
is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases (
) multiplied by the trapezoid's height (
).
Substituting given values, we get:

Therefore, the total volume of the composite figure is
(ah, perfect)
Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:
