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3 years ago

10. A small plane was scheduled to fly from Atlanta to Washington, D.C. The plane flies at a constant speed of 230 miles per

Mathematics

1 answer:

MatroZZZ [7]3 years ago

7 0

Answer: The plane had traveled about 264 miles before turning back. The average speed was 230 mph

Step-by-step explanation: 230 - 10 = 220 speed outgoing

230+10 = 240 speed returning

Average speed (220+240)÷2= 460/2 =230 mph (needless to calculate!) Multiplied by total time 2.3 hours = 529 miles total distance.

Traveling the entire distance at 220mph would take about 2.4 hours. Traveling the entire distance at 240mph would take about 2.2 hours, a difference of .20 hours. Cut those times in half:

Traveling at 220mph for 1.2 hours would cover about 264 miles.

Traveling at 240mph for 1.1 hours would cover about 264 miles.

It adds up to 528 miles. The plane can't turn instantly, so figure the turn took the missing mile!

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3 years ago

A coordinate grid with 2 lines. The first line is labeled y equals negative StartFraction 7 over 4 EndFraction x plus StartFract

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Answer:

1) (2.2, -1.4)

2) (1.33, 1)

Step-by-step explanation:

Question 1)

Two lines, with their corresponding equations are given and we have to find the solution to the system of equations.

The given lines are:

Equation of Line 1:

$y=\frac{-7}{4}x+\frac{5}{2}$

This line passes through the points: (0, 2.5) , (2.2, -1.4)

Equation of Line 2:

$y=\frac{3}{4}x-3$

This line passes through the points (0, -3) , (2.2, -1.4)

By looking at the graph/given data we have to find the solution of these linear equations.

Remember that the solution of linear equations is an ordered pair, through which both the lines pass i.e. the point at which both the given lines intersect is the solution of the linear equations.

From the given data we can see that both the lines pass through one common point, (2.2, -1.4). Since, both lines pass through this point, this means this is the point of intersection of the lines and hence there solution.

So, the answer to this questions is (2.2, -1.4)

Question 2)

The given equations are:

y = 1.5x - 1 Equation 1

y = 1 Equation 2

We can solve these equations by method of substitution.

Substituting the value of y from Equation 2, in Equation 1, we get:

1 = 1.5x - 1

1 + 1 = 1.5x

2 = 1.5x

x = 2/1.5

x = 1.33