4. line them up least to greatest and the one in the middle is the median, which is 4.
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Answer:
Step-by-step explanation:
The cost of each plan (y) is the sum of the initial fee and the product of the mileage charge and the number of miles (x).
First Plan: y = 40 +0.13x
Second Plan: y = 53 +0.08x
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We can find when the costs are the same by solving this system of equations. A way to do that is to subtract the second equation from the first:
(y) -(y) = (40 +0.13x) -(53 +0.08x)
0 = -13 +0.05x
Multiplying by 20 gives ...
0 = -260 +x
Adding 260, we have ...
x = 260
The plans cost the same for 260 miles of driving.
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The cost of the plans for that distance is ...
y = 40 +0.13x = 40 +0.13(260) = 40 +33.80
y = 73.80
The cost when the two plans cost the same is $73.80.
She paid $97.23 for the top soil. You just have to multiply 1.75 by 55.56. However, if you wanted to do this without actually solving the problem, it’s a rather easy guess. Since you know 55 times 1 is 55, choose the closest answer to it. Sometimes when it comes to math you don’t actually have to solve the problem, just take an educated guess. :)
Answer:
13 square units
Step-by-step explanation:
You <em>could</em> calculate the length of each side using Pythagorean theorem, then use Heron's formula to find the area. But there's an easier way: find the area of the rectangle that contains the triangle, and subtract the areas of the smaller triangles in the corners.
The area of the rectangle is 4 × 7 = 28.
The area of the upper left triangle is ½(2)(4) = 4.
The area of the upper right triangle is ½(3)(5) = 7.5.
The area of the lower right triangle is ½(1)(7) = 3.5.
So the area of the triangle is:
28 − 4 − 7.5 − 3.5 = 13
