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Tema [17]
3 years ago
12

A 3-quart carton costs $2.79, while a 4-quart carton costs $3.88. Which is the better buy and why?

Mathematics
1 answer:
skad [1K]3 years ago
8 0

Answer: the 4 quart is a better buy

Step-by-step explanation:

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On October 31, Betty and Paul fill their 250-gallon oil tank for their heater. Beginning in November they use an average of 15 g
Free_Kalibri [48]

The equation that expresses the amount of oil, A, in terms of the number of weeks, w, since October 31 is:

A(w) = 250 gal - w*15gal.

<h3>How to write the linear equation?</h3>

We know that Betty and Paul start with 250 gallons of oil in October 31, which is our initial time, w = 0.

Since November they start using 15 gallons per week, so one week after, at w = 1 (this would be at the end of the first week of November) they will have:

250 gal - 15 gal = 235 gallons of oil.

And each week after that, the amount of oil in the tank will decrease by a fixed amount of 15 gal. This can be described wit a linear equation.

If for each week the tank losses 15 gallons of oil, after w weeks the amount of oil in the tank is:

A = initial quantity - amount that is lost en the w weeks.

A = 250 gal - w*15gal.

The equation that expresses the amount of oil, A, in terms of the number of weeks, w, since October 31 is:

A(w) = 250 gal - w*15gal.

If you want to learn more about linear equations:

brainly.com/question/1884491

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5 0
2 years ago
Find the length of the hypotenuse.
Ivanshal [37]

Answer:

hypotenuse \:  = 16

Step-by-step explanation:

Sin  \alpha  =  \:  \:  \:  \frac{opposite}{hypotenuse}  \\  \\ Sin(30) =  \frac{8}{hyp}  \\  \\  \frac{1}{2}  =  \frac{8}{hyp}  \\  \\ hypotenuse \:  = 16

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4 years ago
-3+9x&gt;87 or -x-9&gt;-17​
Alex_Xolod [135]

Answer:

\large\boxed{x\in(-\infty,\ 8)\ \cup\ (10,\ \infty)}

Step-by-step explanation:

-3+9x>87\qquad\text{add 3 to both sides}\\\\9x>90\qquad\text{divide both sides by 9}\\\\\boxed{x>10}\to(1)\\\\-x-9>-17\qquad\text{add 9 to both sides}\\\\-x>-8\qquad\text{change the signs}\\\\\boxed{x10\ or\ x

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3 years ago
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