Chanasia thinks that (3,2) is a solution for 5y + 10x = 35 because 5(3) + 10(2) = 35. Explain her error.

Mathematics

1 answer:

blagie [28]3 years ago

6 0

Answer: y=2

X=3

5.2+10.3=10+30=40

Step-by-step explanation:

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The sales tax in Mike's home city is 8.25%. Mike buys a sweater for $49.95, two pair of slacks for $68.59 each, and a suit for $

hjlf

Answer: $50.91

Step-by-step explanation:

The following information can be gotten from the question;

Cost of sweater = $49.95,

Cost of slacks = $68.59 each,

Cost of 2 slacks = $68.59 × 2

= $137.18

Cost of suit = $429.99.

Total cost = $49.95 + $137.18 + $429.99 = $617.12

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The sales tax that Mike owe will be:

= 8.25% × $617.12

= 0.0825 × $617.12

= $50.91

Mike will have to pay a sales tax of $50.91

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3 years ago

Find an equation for those points P such that the distance from P to A(0, 1, 2) is equal to the distance from P to B(6, 4, 2). W

suter [353]

Answer: The required equation for points P is $4x+2y=17.$

Step-by-step explanation: We are give two points A(0, 1, 2) and B(6, 4, 2).

To find the equation for points P such that the distance of P from both A and B are equal.

We know that the distance between two points R(a, b, c) and S(d, e, f) is given by

$RS=\sqrt{(d-a)^2+(e-b)^2+(f-c)^2}.$

Let the point P be represented by (x, y, z).

According to the given information, we have

$PA=PB\\\\\Rightarrow \sqrt{(x-0)^2+(y-1)^2+(z-2)^2}=\sqrt{(x-6)^2+(y-4)^2+(z-2)^2}\\\\\Rightarrow x^2+y^2-2y+1+z^2-4z+4=x^2-12x+36+y^2-8y+16+z^2-4z+4~~~~~~~[\textup{Squaring both sides}]\\\\\Rightarrow -2y+1=-12x-8y+52\\\\\Rightarrow 12x+6y=51\\\\\Rightarrow 4x+2y=17.$