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Nezavi [6.7K]
3 years ago
14

1 Javier has at most $15.00 to spend today. He buys a bag of pretzels and a bottle of juice for $2.59. If gasoline at this store

costs $3.39 per gallon, how many gallons of gasoline, to the nearest tenth of gallon, can Javier buy for his car?​
Mathematics
2 answers:
Art [367]3 years ago
8 0

Answer:

Javier can buy <em>at maximum</em> about 3.7 gallons of oil.

Step-by-step explanation:

Let g represent the amount of gasoline in galloons.

We know that Javier has at most $15.00 to spend. In other words, the total cost after buying the snacks and gasoline must be <em>less than or equal to </em>15.

He already bought a snack and a drink for a total of $2.59.

And each gallon of gasoline costs $3.39.

So, we can write the following inequality:

2.59+3.39g\leq 15.00

To find how many galloons of gasoline Javier can buy, we will need to solve for g.

So, subtract 2.59 from both sides. This yields:

3.39g\leq12.41

Divide both sides by 3.39:

g\leq3.66

So, Javier can buy <em>at maximum</em> about 3.7 gallons of oil.

And we're done!

ryzh [129]3 years ago
7 0

Answer:

3.7 gallons

Step-by-step explanation:

15 - 2.59 = 12.41 (money left)

12.41 / 3.39 = 3.6607669...

3.6607669... → 3.7

Best of Luck!

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Art [367]

Answer:

896.64

Step-by-step explanation:

To find the final price of the laptop you take the entire price of the laptop, 1, and add the sales tax amount of .0975 to get 1.0975.  You multiply this amount with the listed price to get the final amount paid, the laptop plus sales tax.  $816.98 x 1.0975 = 896.6356.  This rounds to 896.64

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Step-by-step explanation:

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3 years ago
F(x) = ( - 3x² + 2 – 2)e". Find f'(x) and f''(x).<br> f'(2) =<br> f''(c)<br> =
prisoha [69]

Answer:

-3x²-5xeˣ-eˣ

-3eˣx²-11eˣx-6eˣ

Step-by-step explanation:

I'm going to go by the picture and not what you wrote in your title.

To find the derivative of this we have to apply the product rule

(a*b)'=

a'*b+a*b'

We plug in our numbers and get

(-3x²+x-2)'*eˣ+(-3x²+x-2)*eˣ'

Now we can evaluate the derivatives and simplify

(-3x²+x-2)'= -6x+1

eˣ'=eˣ

which means we have

(-6x+1)*eˣ+(-3x²+x-2)*eˣ

Simplify

-6xeˣ+eˣ-3x²eˣ+xeˣ-2eˣ

Combine like terms

-3x²eˣ-5xeˣ-eˣ

Now we just need to find the derivative of this

We can apply the same product rule as we did before

(-3x²eˣ)'

Let's start by factoring out the -3 to get

-3(x²eˣ)'

which is equal to

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Compute this and get

-3(x²eˣ+2xeˣ)= -3x²eˣ-6xeˣ

Now let's find the derivative of the second part

(-5xeˣ)'

-5(x'eˣ+xeˣ')

-5(eˣ+xeˣ)

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Which means we have

(-3x²eˣ-6xeˣ)+(-5eˣ-5xeˣ)-eˣ

Combine like terms and get

-3eˣx²-11eˣx-6eˣ

3 0
3 years ago
{This question has been deleted}
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Answer:

this question isn't deleted yet

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devlian [24]

Answer:

6. 130/130.5

7. C, 14 pink roses and 26 red roses

8. A, 18 model cars and 27 model airplanes

9. $359.10

Step-by-step explanation:

Number 6 involves two potential answers because although 30% of 435 is 130.5 you cannot have half of a person at a baseball game.

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