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astraxan [27]
3 years ago
12

Ali and jake went on a cross country trip they took a train part of the way and took a bus the rest of the way they traveled a t

otal of 1450 riding on the train 150 more kilometers than on the bus
let x=kilometers traveled by bus
let y = kilometers traveled by train
question how many kilometers did they travel by train?
Mathematics
1 answer:
Vaselesa [24]3 years ago
3 0

Answer:

y=800 km

Step-by-step explanation:

Let the distance traveled by train be y and by bus be x.

Bus -x

Train -y

y=x+150 (since they traveled by train for a distance of 150 km more than by bus.)

The sum of the two is equal to 1450

x+y=1450

The two equations form simultaneous  equations which when solved simultaneously give the values of x and y.

y+x=1450

y-x=150

Adding the two we get:

2y=1600

Divide both sides by two:

y=800 km

Y is the distance traveled by train= 800 km

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Find the dimensions of a rectangle with area 512 m2 whose perimeter is as small as possible. (If both values are the same number
Masja [62]

Answer:

<h2>√512 by √512 </h2>

Step-by-step explanation:

Length the length and breadth of the rectangle be x and y.

Area of the rectangle A = Length * breadth

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A = xy and P = 2(x+y)

If the area of the rectangle is 512m², then 512 = xy

x = 512/y

Substituting x = 512/y into the formula for calculating the perimeter;

P = 2(512/y + y)

P = 1024/y + 2y

To get the value of y, we will set dP/dy to zero and solve.

dP/dy = -1024y⁻² + 2

-1024y⁻² + 2 = 0

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512y⁻² = 1

y⁻² = 1/512

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y = √512 m

On testing for minimum, we must know that the perimeter is at the minimum when y = √512

From xy = 512

x(√512) = 512

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On rationalizing, x = 512/√512 * √512 /√512

x = 512√512 /512

x = √512 m

Hence, the dimensions of a rectangle is √512 m  by √512 m

5 0
4 years ago
What is the negative root of 2x^2 + x − 6 = 0
max2010maxim [7]
Hello! 

Here we can use the quad formula to solve for the x values or roots.
x=(-2+or - \sqrt{2^2-4*2*-6})/2*2 = -2 and 3/2
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We find the roots of an equation by solving for x by different ways, most common ones being the quadratic formula of x= [-b +/-sqrt(b^2-4ac)]/2a or factoring and setting equal to zero and solving for x value(s) that way. Also the roots are where the graph of the equation crosses the x-axis.



Hope this helps. Any questions please just ask. Thank you kindly
4 0
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The radius of a vegetable garden is 63m. If 1188m pf wire is given to fence around it, how many rounds of fencing can be made
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Answer:

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