The weight of James cake in ounces is 52 ounces and the Pint of water dispensed in 20 seconds is 24 pints
<h3>Weight</h3>
- Weight of cake = 3 1/4 pounds
1 pound = 16 ounces
Number of ounces the cake weigh = 3 1/4 pounds × 16 ounces
= 13/4 × 16
= (208) / 4
= 52 ounces
- Water dispensed per second = 0.15 gallons
- Number of seconds = 20 seconds
1 gallon = 4 quarts
0.15 gallon = 0.6 quarts
1 quart = 2 pints
0.6 quart = 1.2 pints
Pint of water dispensed in 20 seconds = 1.2 × 20
= 24 pints of water
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Answer:
Width = 2x²
Length = 7x² + 3
Step-by-step explanation:
∵ The area of a rectangle is 
∵ Its width is the greatest common monomial factor of
and 6x²
- Let us find the greatest common factor of 14 , 6 and
, x²
∵ The factors of 14 are 1, 2, 7, 14
∵ The factors of 6 are 1, 2, 3, 6
∵ The common factors of 14 and 6 are 1, 2
∵ The greatest one is 2
∴ The greatest common factor of 14 and 6 is 2
- The greatest common factor of monomials is the variable with
the smallest power
∴ The greatest common factor of
and x² is x²
∴ The greatest common monomial factor of
and 6x² is 2x²
∴ The width of the rectangle is 2x²
To find the length divide the area by the width
∵ The area = 
∵ The width = 2x²
∴ The length = (
) ÷ (2x²)
∵
÷ 2x² = 7x²
∵ 6x² ÷ 2x² = 3
∴ (
) ÷ (2x²) = 7x² + 3
∴ The length of the rectangle is 7x² + 3
Answer:
maybe x=0=>y=1 or maybe x=0=>y=-2
The answer is II and III, which is the last choice from above. This is because the symbol "less than (or equal to)" indicated a conjunction, which means we have to take into account that the absolute value can be less than or equal to 15, and greater than or equal to -15. This solution set falls in between the two values, hence, the conjunction.