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Vesnalui [34]
2 years ago
9

Given the explitic formula, determine which term produces the given answer. f(n)=65-10n; -35

Mathematics
1 answer:
ella [17]2 years ago
8 0

Answer:

The 10th term.

Step-by-step explanation:

n is the term number so we have:-

65 - 10n = -35

-10n = -35 - 65 = -100

n = -100/-10

= 10


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How many gallons of a 80% antifreeze solution must be mixed with 80 gallons of 15% antifreeze to get a mixture that is 70% antif
konstantin123 [22]

440 gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze to get a mixture that is 70% antifreeze

<em><u>Solution:</u></em>

Let "x" be the gallons of 80 % antifreeze added

Therefore, "x" gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze

Final mixture is x + 80

Therefore, we can frame a equation as:

"x" gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze to get (x + 80) gallons of 70 % antifreeze

Thus, we get,

x gallons of 80 % + 80 gallons of 15 % = (x + 80) gallons of 70 %

x \times \frac{80}{100} + 80 \times \frac{15}{100} = (x+80) \times \frac{70}{100}\\\\0.8x + 80 \times 0.15 = (x+80) \times 0.7\\\\0.8x+12 = 0.7x+56\\\\0.8x-0.7x=56-12\\\\0.1x = 44\\\\x = \frac{44}{0.1}\\\\x = 440

Thus 440 gallons of 80 % antifreeze solution must be mixed

4 0
2 years ago
Cedric and Josh both ordered the same size pizzas at Marco’s Pizzeria; however, they ordered different toppings. Marco’s charges
Oksanka [162]
Let
C---------> <span>the cost of a pizza
</span>t----------> <span>number of toppings

we know that
</span>$15.74-3t=$14.49-2t
15.74-14.49=3t-2t-------------> t=1.25

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and the cost of one pizza <span>without topping is
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then
<span>an equation for the cost of a pizza, C, as a function of the number of toppings, t ordered is
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the answer is 
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6 0
2 years ago
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5. Now lets remember that half of your cards were lost. meaning that 12 is only half of what you started with.
6. 12 times 2 would be 24.
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2 years ago
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