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Mama L [17]
3 years ago
8

While traveling in England, Sonia noticed that the price of gas was 1.4 pints per liter. She wondered how that compares to the p

rice of gas in Atlanta, where she lives. On that day, the exchange rate was £1= $1.56. Set up and evaluate a conversion expression to find the equivalent price in dollars per gallon. Use the conversion factor 1L=0.26 gal.
Mathematics
1 answer:
amm18123 years ago
4 0

Answer:

$8.40

Step-by-step explanation:

Price in England = 1.4 pounds per Litre

Current exchange rate : 1 pound = 1.65 dollars

1 Litre = 0.26 gallons

If 1 Litre = 0.26 gallons

1 gallon = (1 / 0.26) litres = 3.8461538 litres

Therefore, cost per gallon in England = (1.4 × 3.8461538)

= 5.3846153 pounds

Then ;

If 1 pound = 1.56 dollars

Then cost per gallon in dollars equals

5.3846153 * 1.56 = 8.399999868 dollars

$8.40

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walnut grower estimates from past records that if 20 trees are planted per acre, then each tree will average 60 pounds of nuts p
laila [671]

Answer:

5 trees should be planted to maximize the yield per acre,

The maximum yield would be 1250

Step-by-step explanation:

Given,

The original number of trees per acre = 20,

Average pounds of nuts by a tree = 60,

Let x be the times of increment in number of trees,

So, the new number of trees planted per acre = 20 + x

∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,

So, the new number of pounds of nut = (60 - 2x)

Thus, the total yield per acre,

Y(x) = (20+x)(60-2x)

Differentiating with respect to t ( time ),

Y'(x) = (20+x)(-2) + 60 - 2x = -40 - 2x + 60 - 2x = 20 - 4x

Again differentiating with respect to t,

Y''(x) = -4

For maxima or minima,

Y'(x) = 0

⇒ 20 - 4x = 0

⇒ 20 = 4x

⇒ x = 5,

For x = 5, Y''(x) = negative,

Hence, Y(x) is maximum for x = 5,

And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,

i.e. 5 trees should be planted to maximize the yield per acre,

and the maximum yield would be 1250 pounds

4 0
3 years ago
Help me please ASAP!!!!!!
FrozenT [24]

Answer:

45 degrees

Step-by-step explanation:

Ok I think it is 45 degrees try that if not super sorry

3 0
3 years ago
Please help me guys with this problem.
Anna71 [15]

I think the answer is 152 but I’m not 100% sure

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3 years ago
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It’s only one question plz help (DON’T GUESS NO LINKS) please I will do anything there is a part two I’m struggling and this is
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Answer:

For question 1 it's B

For question 2 it's C

Step-by-step explanation:

<u>For question 1, you have to apply the "Triangle Inequality Theorem"</u>

A+B > C

B+C > A

A+C > B

Let's say that A=22, B=17, C= 14

22+17 > 14       True

17+14 > 22       True

22+14 > 17       True

Therefore, the answer is B

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70+70+? = 180

140+? = 180

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