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Fiesta28 [93]
3 years ago
13

Solve for x algebra help

Mathematics
2 answers:
spin [16.1K]3 years ago
8 0

Answer:

24

Step-by-step explanation:

Cross multiply:

2(x - 9) = 2x - 18

3(10) = 30

2x-18 = 30

   +18   +18

-----------------

  2x = 48

 -----   -----

   2       2

     x = 24

Hope this helped.

mafiozo [28]3 years ago
7 0

Answer:

x=24

Step-by-step explanation:

Hi there!

We are given the following proportion:

\frac{2}{10}=\frac{3}{x-9}

And we want to solve for x.

First, let's reduce \frac{2}{10}, as reducing fractions typically makes the process easier

\frac{2}{10} is the same as \frac{1}{5}

So:

\frac{1}{5}=\frac{3}{x-9}

We can't do anything to \frac{3}{x-9}, but that's okay.

Now we can cross multiply, as this is a proportion

Multiply x-9 by 1 and 3 by 5

1(x-9)=3(5)

Multiply

x-9=15

Now this is an equation

Our goal is to isolate x on one side

So let's add 9 to both sides to remove it from the left side

x-9=15

 +9 +9

_________

x=24

Hope this helps!

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A zip line is setup 150ft in the air, where a person can expect to zip line at a safe declining speed to the ground as they pass
hichkok12 [17]

Answer:

139 ft

Step-by-step explanation:

So the zip line forms a right triangle.  The height of the triangle is 150 ft, and the opposite angle is 40°.  The horizontal distance covered by the zip liner can be found with trigonometry, specifically with tangent.

tan 40° = 150 / x

x = 150 / tan 40°

x ≈ 179 feet

But this includes the 40 ft long body of water, so the amount of ground covered is:

179 ft - 40 ft = 139 ft

4 0
3 years ago
(answer with "sometimes, always, or never true") <br> A decimal number is an irrational number.
xxMikexx [17]

Answer:

Step-by-step explanation:

Sometimes.  If the decimal never repeats itself and never ends, like pi, it is irrational.  But if the decimal is .5 or .333333333333333... it either terminates (ends) or repeats itself forever, making it rational.

7 0
3 years ago
Mandy was flying in a helicopter at an altitude of 500 feet. The helicopter descended 450 feet. What is Mandy's altitude now
Anika [276]
500-450=50. 50 feet altitude.
6 0
3 years ago
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b&gt; Find the equation to the straight lines passing through (1,1) and parallel to the lines represented by x²-5xy+4y²+x+2y-2=0
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4 0
3 years ago
One month Donna rented 5 movies and 6 video games for a total of $48. The next month she rented 3 movies and 2 video games for a
faltersainse [42]

Answer:

Cost for each movie: $1.50 Cost for each video game: $6.75

Step-by-step explanation:

Let x be the cost (in dollars) of renting a movie.

Let y be the cost (in dollars) of renting a video game.

The total cost of renting 3 movies and 2 video games is +3x2y dollars.

We're given that this total cost is $18, so we have =+3x2y18.

The total cost of renting 5 movies and 6 video games is +5x6y dollars.

We're given that this total cost is $48, so we have =+5x6y48.

Therefore, we get the following system of equations.

=+3x2y18

=+5x6y48

Multiplying the first equation by −3 and adding gives us the following.

   −9 x− 6 y = −54      5 x+ 6 y =  48     −4 x+ 0 y = −6  

So we get the equation =−4x−6.

Solving for x, we get the following.

=x1.5

To find y, we can substitute 1.5 for x in =+3x2y18, the first equation in the system.

Then we solve for y.

+31.52y =18

+4.52y =18

2y =13.5

y =6.75

So, we have found that =x1.5 and =y6.75.

This means that the rental cost for each movie is $1.50 and the rental cost for each video game is $6.75.

4 0
3 years ago
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