Find two positive numbers whose difference is 8 and whose product is 713

Mathematics

1 answer:

Maksim231197 [3]3 years ago

8 0

Answer:

1232

Step-by-step explanation:

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The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May her driving cost was $380 for 48

andrezito [222]

Answer:

$y=0.2x+284$

Step-by-step explanation:

Let x be the distance driven, d-distance and C our constant.

Our information can be presented as:

$y=mx+c\\\\450=830x+C\ \ \ \ \ \ \ \ \ eqtn 1\\\\380=480x+C\ \ \ \ \ \ \ \ \ eqtn 2$

#Subtracting equation 2 from 1:

$70=350x\\x=0.2$

Hence the fixed cost per mile driven, $x$ is $0.20

To find the constant, $C$ we substitute $x$ in any of the equations:

$450=830x+C\ \ \ \ \ \ \ X=0.2\\\therefore C=450-830\times0.2\\=284$

Now, substituting our values in the linear equation:

$y=0.2x+284$ #y=cost of driving, x=distance driven

Hence the linear equation for the cost of driving is y+0.2x+284

7 0

3 years ago

The figure shows the layout of a symmetrical pool in a water park. What is the area of this pool rounded to the tens place? Use

k0ka [10]

Answer:

$2489ft^{2}$

Step-by-step explanation:

The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.

<h3>Area of each triangle:</h3>

From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:

$A_{t}=\frac{b.h}{2}=\frac{(20ft)(25ft)}{2}=250ft^{2}$