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The motions for the calculation -5+ (-37) is given as a small movement to the left followed by a large movement to the left.
<h3>What is an
equation?</h3>
An equation is an expression used to show the relationship between two or more numbers and variables.
The expression -5+ (-37) can be solved using a number line. The motions for the calculation -5+ (-37) is given as a small movement to the left followed by a large movement to the left.
Find out more on equation at: brainly.com/question/2972832
Answer:
video game: $29.50
DVD: $10
Step-by-step explanation:
Let d = price of one DVD, and let v = price of 1 video game.
"A bundle of two video games and three DVDS can be purchased for $89.00."
2v + 3d = 89
"A bundle of one video game and two DVDS can be purchased for $49.50."
v + 2d = 49.5
We have two equations in two unknowns, so we can solve them as a system of 2 equations.
2v + 3d = 89
v + 2d = 49.5
Rewrite the first equation.
Multiply both sides of the second equation by -2 and write it below the first equation.
Add the equations.
2v + 3d = 89
(+) -2v - 4d = -99
---------------------------
-d = -10
d = 10
Now we substitute 10 for d in the second original equation and solve for v.
v + 2d = 49.5
v + 2(10) = 49.5
v + 20 = 49.5
v = 29.5
Answer: video game: $29.50; DVD: $10
Step-by-step explanation:
x² + 2x - 5 = 0
that is the same as
x² + 2x + 1 = 6
(x + 1)² = 6
x + 1 = ±sqrt(6)
x = -1 ± sqrt(6)
x1 = -1 + sqrt(6)
x2 = -1 - sqrt(6)
n² - 20n + 2 = 4
this is the same as
(n - 10)² = 102
n - 10 = ±sqrt(102)
n = 10 ± sqrt(102)
n1 = 10 + sqrt(102)
n2 = 10 - sqrt(102)
Speed of truck= x
speed of train=x-30
A loaded moving truck is traveling 30 mph faster than a freight train. in the time it takes the train to travel 135 miles, the truck travels 225 miles. find the speed of the truck.
A loaded moving truck is traveling 30 mph faster than a freight train...
(x-30)=speed of train
the time it takes the train to travel 135 miles, the truck travels 225 miles...
135/(x-30)=225/x
the you multiply on both sides the x values and get...
135x=225x-6750
then you subtract 225x on both sides...
-90x=-6750
then you divide -90 on both sides...
x=75
the speed of the truck is 75mph
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