What would be the price for a product that started at $27 and get marked up by 30%

Mathematics

1 answer:

Kitty [74]3 years ago

3 0

Answer:

$35.10

Step-by-step explanation:

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Find the point, M, that divides segment AB into a ratio of 5:2 if A is at (1, 2) and B is at (8, 16).

Oliga [24]

5:2 is a 5 to 2 ratio
a midpoint P between tow points is
((x1+x2)/2, (y1+y2)/2)
I would start there, adjust it to get a ratio of 5:2 from 1:2
for one thing the point should be on the line between the other two points

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B2n%7D%20%2B%20%5Cfrac%7B1%7D%7Bn%5E2%7D%20%3D%20%20%5Cfrac%7Bn-2%7D%7B2n%5

Sergio [31]

Make denomenators the same
common denom is 2n²

multiply 3/2n by n/n
mulitply 1/n² by 2/2

we get
$\frac{3n}{2n^2}+\frac{2}{2n^2}=\frac{n-2}{2n^2}$
combine fractions
$\frac{3n+2}{2n^2}=\frac{n-2}{2n^2}$
multiply both sides by 2n²
2n+2=n-2
minus n both sides
n+2=-2
minus 2 both sides
n=-4

8 0

3 years ago

Ax+by=(a-b) , bx - ay =(a+b) simultaneous linear equations using cross multiplication

Molodets [167]

Answer:

$x=1\,,\,y=-1$

Step-by-step explanation:

Given: $ax+by=a-b\,,\,bx-ay=a+b$

To solve: the given linear equations

Solution:

Consider the equations:

$A_1x+B_1y+C_1=0\\A_2x+B_2y+C_2=0$

By method of cross multiplication:

$\frac{x}{B_1C_2-B_2C_1}=\frac{y}{C_1A_2-C_2A_1}=\frac{1}{A_1B_2-A_2B_1}$

For equations: $ax+by=a-b\,,\,bx-ay=a+b$

$ax+by-(a-b)=0\\bx-ay-(a+b)=0$

Take $A_1=a\,,\,B_1=b\,,\,C_1=-(a-b)\,,\,A_2=b\,,\,B_2=-a\,,\,C_2=-(a+b)$

So,

$\frac{x}{-b(a+b)-a(a-b)}=\frac{y}{-b(a-b)+a(a+b)}=\frac{1}{-a^2-b^2}\\\frac{x}{-ab-b^2-a^2+ab}=\frac{y}{-ab+b^2+a^2+ab}=\frac{1}{-(a^2+b^2)}\\\frac{x}{-(a^2+b^2)}=\frac{y}{a^2+b^2}=\frac{1}{-(a^2+b^2)}\\\frac{x}{-(a^2+b^2)}=\frac{1}{-(a^2+b^2)}\,,\,\frac{y}{a^2+b^2}=\frac{1}{-(a^2+b^2)}\\x=1\,,\,y=-1$