Solve the system by elimination. 3x-10y=-25 4x+40y=20

2 answers:

7 0

3x-10y=-25Add 10y10y to both sides
3x=−25+10y

Regroup terms
3x=10y-253x=10y−25
Divide both sides by 3 3
x=10y-25/3

Factor out the common term 5 5
your answer: x=5(2y-5)/3

4x+40y=20
Factor out the common term 4 4
4(x+10y)=20
Divide both sides by 44
x+10y=20/4

Simplify 20/4 to 5
x+10y=5

Subtract 10y10y from both sides
your answer: x=5-10y

lana66690 [7]3 years ago

3 0

3x-10y=-25
4x+40y=20

12x-40y=-100
12x+120y=60

-160y=40

y=1/4
x=5/2

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Kingda ka in new jersey is the tallest and fastest roller coaster in the world. riders travel at an average speed of 61 feet per

trapecia [35]

Answer:

(a) 3118=61*t

(b) The amount of time the roller coaster is in motion is 51.11 seconds.

Step-by-step explanation:

Speed is a magnitude that expresses the relationship between the space traveled by an object, the time used for it and its direction. In other words, speed is associated with the change in position of a body over time and can be expressed as:

$speed=\frac{distance}{time}$

Then the distance traveled can be expressed as:

distance=speed*time

(a) If x represents the total time that the roller coaster is in motion for each ride, the average speed is 61 feet per second and the distance is 3118 feet then the expression to represent the situation is:

3118=61*x

(b) To calculate the amount of time the roller coaster is moving, you simply need to solve the expression found in (a). Dividing 61 to both sides:

$\frac{3118}{61} =\frac{61*x}{61}$