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LenaWriter [7]
3 years ago
10

Determine the volume of a sphere with a radius of 0.84 inch.

Mathematics
1 answer:
ELEN [110]3 years ago
6 0

Answer:

D. 2.48 in³.

Step-by-step explanation:

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The Fall Festival charges $0.75 per ticket for the rides. Kendall bought 18 tickets for rides and spent a total of $33.50 at the
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<u>Part (a)</u>

The variable y is the dependent variable and the variable x is the independent variable.

<u>Part (b)</u>

The cost of one ticket is $0.75. Therefore, the cost of 18 tickets will be:

0.75\times 18=13.5 dollars

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If we use y to represent the total cost and x to represent the number of ride tickets, the linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission can be  written as:

y=0.75x+20......Equation 1

<u>Part (c)</u>

The above equation is logical because, in general, the total cost of the rides will depend upon the number of ride tickets bought and that will be 0.75x. Now, even if one does not take any rides, that is when x=0, they still will have to pay for the fair admission, and thus their total cost, y=$20.

Likewise, any "additional" cost will depend upon the number of ride tickets bought as already suggested. Thus, the total cost will be the sum of the total ride ticket cost and the fixed fair admission cost. Thus, the above Equation 1 is the correct representative linear equation of the question given.

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Which number line represents the solution set for the inequality 3(8-4x) &lt; 6(x - 5)?
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3(8 - 4x) < 6(x - 5) \\ 24 - 12x < 6x - 30 \\ 24 + 30 < 6x + 12x \\ 54 < 18x \\  \frac{54}{18}  <  \frac{18x}{18}  \\ x > 3

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A

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add together like terms.

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