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sladkih [1.3K]
3 years ago
10

3. A small airplane flew 104 miles in 50

Mathematics
2 answers:
Mrac [35]3 years ago
5 0

Answer:  The airplane can fly 124.8 miles in 1 hour.

Step-by-step explanation:  Given that a small airplane flew 104 miles in 50

minutes.

We are to find the number of miles that the airplane can fly in one hour.

We will be using the UNITARY method to solve the given problem.

We have

60~\textup{minutes}=1~\textup{hour}\\\\\Rightarrow 50~\textup{minutes}=\dfrac{1}{60}\times50=\dfrac{5}{6}~\textup{hour}.

In \dfrac{5}{6} hours, number of miles flew by the airplane = 104 miles.

So, in 1 hour, number of miles flew by the airplane is

\dfrac{104}{\frac{5}{6}}=\dfrac{624}{5}=124.8.

Thus, the airplane can fly 124.8 miles in 1 hour.

N76 [4]3 years ago
4 0
124.8 miles. 104/50=2.08. 2.08x60=124.8.
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Step-by-step explanation:

The salary of $58,000 is Alex's pre-tax income. It is presumed to be divided evenly between the 12 months of the year, so his monthly income is ...

  $58,000/12 = $4833.33

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Find the value of k such that lim-->4 (x^2+x-k)/(x-4) exists
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k=20

Step-by-step explanation:

when x approaches 4, the denominator x-4 approaches 0

if the denominator is 0, it means that this is invalid

if the function is a number over 0 when x=4, it represents a vertical asymptote, which means no limit

so the only way possible to let there be a limit is to let the function be 0/0 when we plug in x=4

so x^2 + x - k = 0 when x = 4

4^2 + 4 - k = 0 ==> 20 - k = 0 ==> k = 20

6 0
3 years ago
Determine the equation of the parabola graphed below. Note: be sure to consider the negative sign already present in the templat
Blizzard [7]

The equation of the graphed parabola is y=a(x+3)^{2}-4.

Given that parabola is plotted, concave up , with vertex located at coordinates (-3,-4).

We are required to find the equation of the graphed parabola.

The equation of a quadratic function of vertex (h,k) is given by:

y=a(x-h)^{2}+k

In the above equation a is the leading coefficient.

We have been given point (-3,-4).

We have to just put the value of h=-3 and k=-4 and the required equation will be as under:

y=a(x+3)^{2}-4

Hence the equation of the parabola which is plotted, concave up, with vertex located at coordinates (-3,-4) is y=a(x+3)^{2}-4.

Learn more about parabola at brainly.com/question/64712

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6 0
2 years ago
HELP :/ At the local pet store, Bloodfin Tetra cost $1.50 each and Angelfish cost $4.75 each. If Sarah bought 8 fish for a total
kodGreya [7K]

Answer:

Sarah bough 3 Angelfish and 5 Bloodfin Tetra

Step-by-step explanation:

Let a be the number of Angelfish fish and

b be the number of Bloodfin fish

Then according to the given statements

we get the following equations

a+b = 8\ \ \ Eqn\ 1\\4.75a+1.50b=21.75\ \ \ Eqn\ 2

From Equation 1

a = 8-b

Putting in equation 2

4.75(8-b)+1.50b = 21.75\\38-4.75b+1.50b = 21.75\\38-3.25b = 21.75\\-3.25b = 21.75-38\\-3.25b = -16.25\\\frac{-3.25b}{-3.25} = \frac{-16.25}{-3.25}\\b = 5

Putting b=5 in equation 1

a+5 = 8\\a = 8-5 = 3

Hence,

Sarah bough 3 Angelfish and 5 Bloodfin Tetra

5 0
3 years ago
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