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satela [25.4K]
3 years ago
6

A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would c

ost for this car to travel 2,727 typical miles?
pls help I'm being timed​
Mathematics
2 answers:
Lena [83]3 years ago
6 0

Answer:

It would cost $ 408.04 to travel 2727 miles

Sergio [31]3 years ago
5 0

Divide total miles by miles per gallon:

2,727 / 27 = 101 gallons.

Multiply total gallons by price per gallon:

101 x 4.04 = $408.04  Round as needed.

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If n is a positive even number, then the product of (-12)ⁿ will be what
kipiarov [429]

Answer:

a positive even number.

Step-by-step explanation:

I suggest plugging in random positive even numbers and finding a pattern. (-12)^2 = 144. (-12)^ 4= 20,736. this is because two negatives, when multiplied, turn to a positive. the n is how many times negative 12 is multiplied with itself

3 0
3 years ago
Write a quadratic equation with the given roots. Write the equation in the form of ax^2+bx+c=0 where a b and c are integers
Bas_tet [7]

You haven't provided the required roots, but I can tell you how to do this kind of exercises in general.

If the x^2 coefficient is 1, i.e. the equation is written like x^2+bx+c=0, then you can say the following about the coefficients b and c:

  • b is the opposite of the sum of the roots
  • c is the multiplication of the roots.

So, for example, if we want an equation whose roots are 4 and -2, we have:

  • 4+(-2) = 4-2 = 2 \implies b = -2
  • 4 \cdot (-2) = -8 \implies c = -8

So, the equation is x^2-2x-8=0

If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:

  • \dfrac{3}{4}+\dfrac{1}{2} = \dfrac{3}{4}+\dfrac{2}{4} = \dfrac{5}{4} \implies b = -\dfrac{5}{4}
  • \dfrac{3}{4} \cdot \dfrac{1}{2} = \dfrac{3}{8} \implies c = \dfrac{3}{8}

And so the equation is

x^2 - \dfrac{5}{4} + \dfrac{3}{8} = 0

In order to have integer coefficients, you can multiply both sides of the equation by 8:

8x^2 - 10 + 3 = 0

5 0
3 years ago
A 45 foot ladders leaning up against a building. The base of the latter is 20 feet away from the building. What is the angle of
Tatiana [17]

Answer:

The angle of elevation to the top of the building is 63.61 degrees

Step-by-step explanation:

Here, we want to calculate angle of elevation to the top of the building.

For this, we need a triangle

Please check for this in the attachment.

From the diagram, we are to calculate the angle theta.

To do this, we use trigonometric identities.

Looking at what we have, we have the hypotenuse and the adjacent.

So the trigonometric identity to use is the cosine

Mathematically Cosine theta = adjacent/hypotenuse

Thus, Cos theta = 20/45

Cos theta = 0.444444444444444

Theta = Arc cos(0.444444444444444)

Theta = 63.61 degrees

8 0
3 years ago
Answer pwease lol now
Anettt [7]

Answer:

D) y = 27 · (3)^x

Step-by-step explanation:

Replace x with the x values.

27 · (3)^-2 = 27 · 1/9 = 3

27 · (3)^-1 = 27 · 1/3 = 9

27 · (3)^0 = 27 · 1 = 27

27 · (3)^1 = 27 · 3 = 81

17 · (3)^2 = 27 · 9 = 243

D is your answer.

Hope this helps

5 0
2 years ago
Which equation supports the given conjecture?
Readme [11.4K]
The first part says the sum of the squares of two consecutive integers or in other words (x)(x)+(x+1)(x+1) so we can cross out A because 2 and 3 are prime numbers (no factors)  we can cross out all the others because the square root of 52 is not an integer so any equation with 52 in it does not satisfy the requirement. so none of them are corect.  additionally, some of the equations are obviously false such as 52+62=61
3 0
3 years ago
Read 2 more answers
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