Two planes leave an airport at noon. If the eastbound plane flies at 560 mph and the westbound plane flies at 500 mph, at what time will they be 2,000 miles apart? Round your answer to the nearest minute.

Answers

Answer 1

Answer: The two planes are flying in opposite directions.One plane travels at 560miles per hour and the other travels at a speed of 500 miles per hour. As time proceeds, they would travel further from each other and that can be described by the equation that follows:

560(t)+500(t) =2000, since we are given a 2000 distance limit. Then we are to find the time when they are at this distance. Solve for t, which is equal to 0.53 hours or 32 minutes.

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Solve simultaneous equation
2x + 4y = 1
3x-5y=7

Answers

$\left \{ {{2x+4y=1\ \ | *(-3)} \atop {3x-5y=7\ \ | *2}} \right. \n\n \left \{ {{-6x-12y=-3} \atop {6x-10y=14}} \right.\n+----\nadd\ both\ equations\n\n-22y=11\ \ \ | divide\ by\ -22\n\ny=-(1)/(2)\n\n2x=1-4y\ \ | divide\ by\ 2\n\nx=(1-4y)/(2)=(1-4*(-(1)/(2)))/(2) =(3)/(2)$

Final answer:

To solve the simultaneous equations 2x + 4y = 1 and 3x - 5y = 7, we can use the elimination method. Multiply the equations to make the coefficients of x equal, subtract the equations, solve for y, and substitute the value of y in one of the original equations to find x. The solution is x = 3/2 and y = -11/22.

Explanation:

To solve the simultaneous equations:

2x + 4y = 1

3x - 5y = 7

We can use the method of substitution or elimination. Let's use the elimination method.

Multiply the first equation by 3 and the second equation by 2 to make the coefficients of x in each equation the same.
Now, subtract the equations:

(6x + 12y) - (6x - 10y) = 3 - 14

22y = -11

Divide both sides by 22 to solve for y:

y = -11/22

Substitute the value of y in one of the original equations to solve for x:

2x + 4(-11/22) = 1

2x - 2 = 1

2x = 3

x = 3/2

Therefore, the solution to the simultaneous equations is x = 3/2 and y = -11/22.

Learn more about Simultaneous equations here:

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A small child makes 3 piles of blocks in a room. Each pile has 4 blocks. In another room, he makes 6 more piles of blocks. These piles also have 4 blocks each. To count the total number of blocks, his sister counts that there are 3 times 4, or 12 blocks, in one room and 6 times 4, or 24 blocks, in the other room for a total of 36 blocks. Using the distributive property, what is another way she could have counted the blocks?

Answers

4(3×6) is another way she could have counted them using distributive property which equals 36

Which is more, 2 1/2 pounds or 36 ounces?

Answers

2 1/2 pounds is more. Since there are 16 oz in a pound, you want to multiply 16 by 2.5, to equal 40 oz. 40>36

A pair of equations is shown below. x + y = 5
y = one halfx + 2

If the two equations are graphed, at what point do the lines representing the two equations intersect?

(2, 5)
(5, 2)
(2, 3)
(3, 2)

Answers

The correct answer for the question that is being presented above is this one:

x + y = 5

y = one halfx + 2
y = 1/2 x + 2
-1/2 x + y = 2

Eliminate y by subtracting the two equations.
x + y = 5
-1/2 x + y = 2
----------------------
3/2 x = 3
3x = 6
x = 2

x + y = 5
2 + y = 5
y = 5-2
y = 3

So, the answer is (2,3).

Answer:

I am positive the answer is C: (2, 3)

Step-by-step explanation:

What is the measure of side RS

Answers

Answer:

Step-by-step explanation:

5y - 33 = 57.

Add 33.

5y = 90

Divide by five.

y = 18

5(18) - 33 = 57

The probability that Janice will attend math class today is 62%. The probability that Ellie will attend math class if Janice attends is 100%. Ellie will not attend the class unless she hears from Janice first. What is the probability that both will attend the class?A. 73%
B. 100%
C. 81%
D. 62%

Answers

i believe it is a because if janice attends then ellie will so there is a 73% chance because if ellie doesnt here from janice she will not go.

A belive? I'm 89% sure

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