Let's first define variables.
y: number of shares of $ 10
x: number of shares of $ 12
We write the system of equations:
10x + 12y = 210
y = 2x + 5
Solving the system:
x = 75/17
y = 235/17
Answer:
she has:
75/17 shares of $ 12
235/17 shares of $ 10
Answer:
260 stickers
Step-by-step explanation:
Let Gareth's stickers be x.
Hence Cheryl sticker is 160+x;
If Cheryl gave 185 stickers
to Gareth, it means:
Cheryl has at the moment;
160 + x - 185 = x - 25
At this time when Gareth receives 185 he now has:
x+ 185
Also when he receives x +185, he has 3 times Cherry's meaning:
x+185 =3(x-25)
x + 185 = 3x -75
185 + 75 = 3x-2x
260= x
x = 260.
Hence Gareth has 260 stickers
Answer:
c) 6x - 5y = 15
Step-by-step explanation:
Slope-intercept form of a linear equation: 
(where m is the slope and b is the y-intercept)
Maria's line: 
Therefore, the slope of Maria's line is 
If two lines are perpendicular to each other, the product of their slopes will be -1.
Therefore, the slope of Nate's line (m) is:

Therefore, the linear equation of Nate's line is:

Rearranging this to standard form:



Therefore, <u>option c</u> could be an equation for Nate's line.
I believe b is about 16.3, hope this helps