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suter [353]
2 years ago
9

i drive a Ford Escape that can hold 13 gallons of gas. If I can drive 145.2 miles on 6 gallons of gas, how far can I drive on a

full tank of gas? *
Mathematics
1 answer:
Bezzdna [24]2 years ago
6 0

Answer:

314.6 miles.

Step-by-step explanation

Six gallons of gas can run for 145.2 miles.

If you do 145.2 / 6, then you would get 24.2 miles/gallon.

24.2 x 13 = 314.6

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lutik1710 [3]

Rotating the graph of Ax^2+Bxy+Cy^2+Dx+Ey+F=0 with B\ne0 counterclockwise by \theta eliminates the xy term, where \cot2\theta=\frac{A-C}{B}. Plugging in, we have \cot2\theta=\frac{7}{24}, since C=0. Solving, we have \theta=\frac{1}{2}\cot^{-1}(\frac{7}{24})\approx\boxed{36.9^\circ}.

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3 years ago
question 1 . Julia and ana have 7.20 ana have five times as much as Julia how much does each girl have
zloy xaker [14]
Julia has 1.44 and Ana has 5.76
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1.44
7 0
3 years ago
Any credit)
Mumz [18]

Answer: $4,365.10

Step-by-step explanation:

Ok, we know that:

The account starts with $2350

There is a simple interest of 3.75% (or 0.035).

Then after one year, the amount in the account will increase by 3.75%, this means that the amount will be:

$2350 + 0.035*$2350 = (1.035)*$2350.

After another year, we have the same increase (but applied to the new amount in the account):

(1.035)*$2350 + 0.035*(1.035)*$2350. = (1.035)^2*$2350

And so on.

You already can see the pattern here, the amount of money in the saving account after N years will be:

M(N) = $2350*(1.035)^N.

Now we can answer:

what is the balance of the account if it earns a  simple interest of 3.75% for 18 years?

Just replace N by 18 in that equation:

M(18) = $2350*(1.035)^18 = $4,365.10

6 0
3 years ago
Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x + 3)2 + 4?
DIA [1.3K]

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3 0
2 years ago
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The sum of the measures of two adjacent angles is 72 degrees. The ratio of the smaller angle to the
Goryan [66]

Answer:

The larger angle is 54°

Step-by-step explanation:

Given

Let the angles be: θ and α where

θ > α

Sum = 72

α : θ = 1 : 3

Required

Determine the larger angle

First, we get the proportion of the larger angle (from the ratio)

The sum of the ratio is 1 + 3 = 4

So, the proportion of the larger angle is ¾.

Its value is then calculated as:.

θ = Proportion * Sum

θ = ¾ * 72°

θ = 3 * 18°

θ = 54°

4 0
2 years ago
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