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lesantik [10]
3 years ago
8

You purchased $132.49 worth of wheels and bearings for your skateboards. The shop charges $15 per board to install them. The tot

al cost is $192.49. How many skateboards will be repaired?
Mathematics
1 answer:
Mila [183]3 years ago
4 0

4 skateborards will be repaired

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Write a system of linear inequalities so the points (1, 2) and (4, -3) are solutions of the system, but the point (-2, 8) is not
Verizon [17]

Answer: \left \{ {{y\leq -\frac{5}{3}x + \frac{11}{3}} \atop {y < 8}} \right

<u>Step-by-step explanation:</u>

(1, 2) and (4, -3)

First, find the slope (m): \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m = \frac{-3-2}{4-1}

   = -\frac{5}{3}

Next, choose ONE of the points and input the point and slope into the Point-Slope formula: y - y₁ = m(x - x₁)

y - 2 = -\frac{5}{3}(x - 1)

y - 2 = -\frac{5}{3}x + \frac{5}{3}

y      = -\frac{5}{3}x + \frac{11}{3}

Then, determine which inequality symbol will result in (-2, 8) being False (since it is not a solution):

y ___ -\frac{5}{3}x + \frac{11}{3}

8 ___ -\frac{5}{3}(-2) + \frac{11}{3}

8 ___ \frac{1}{3}

8 > \frac{1}{3}

so ≤ makes the statement False

⇒ y ≤ -\frac{5}{3}x + \frac{11}{3}

****************************************************************

If you need a "system" of inequalities, then you need another equation.

There are infinite possibilities. Graph the points to see what works.  

y < 8   or  x > -2 are two examples.


---> I just realized that the system can be simpler than what I did above:

\left \{ {{x>-2} \atop {y < 8}} \right



4 0
3 years ago
The one i chose is wrong i think help.
const2013 [10]

Answer:

You are correct

Step-by-step explanation:

collinear means that they are on the same line, so they are collinear because of the definition of collinear

7 0
3 years ago
Please help and look at the others
Studentka2010 [4]

Answer:

no

Step-by-step explanation:

pls give brainliest :)

8 0
3 years ago
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What is the angle relationship between ∠KAJ and ∠GAF?
Ulleksa [173]

Answer:

vertical angles

Step-by -step explanation:

7 0
3 years ago
A train travels at a constant speed and has traveled 67. 5 miles in the last 1 1/2 hours. Which equation shows the proportion re
Fofino [41]
Find the speed of the train:

67.5 mi
---------- = 45 mph
 1.5 hr

Then (distance traveled) = (speed)*(time)  =>  d = (45 mph)(t)
4 0
3 years ago
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