Answer:
The equation of the line would be y = -1/3x - 4
Step-by-step explanation:
In order to find this, we first need to find the slope of the original line. We do this by solving for y.
2x + 6y = 10
6y = -2x + 10
y = -1/3x + 5/3
Now that we see the slope as -1/3, we know the new line will have the same slope thanks to the definition of parallel lines. So, we can use this slope and the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - -5 = -1/3(x - 3)
y + 5 = -1/3x + 1
y = -1/3x - 4
Step-by-step explanation:
the 1st shop=196-(17.5/100×196)
=196-34.3
=161.7+196
=357.7
the 2nd shop=196-(22.5/100×196)
=196-44.1
=151.9+196
=347.9
so the difference between two shop is
357.7-347.9=9.8
Step-by-step explanation:
7. x/4=-2.5
x = -2.5/4= 5/8
8. -22=n/2
n = -22×2 =-44
9. 1/3z = -5
z = -5×3 =-15
10. -1/4x=5/2
-2=5×4x
-2=20x
x=-20x/2=-10
Answer:
Sophia now has 39 cents.
Step-by-step explanation:
One quarter = 25 cents
Since Sophia had 64 cents until she spent 25 cents (1 quarter).
So we subtract 25 cents from 64 cents.
![\: \: \: 64 \: cents \\ \frac{ - 25 \: cents}{ \: \: \: 39 \: cents}](https://tex.z-dn.net/?f=%20%5C%3A%20%20%5C%3A%20%20%5C%3A%2064%20%5C%3A%20cents%20%5C%5C%20%20%5Cfrac%7B%20-%2025%20%5C%3A%20cents%7D%7B%20%5C%3A%20%20%5C%3A%20%20%5C%3A%2039%20%5C%3A%20cents%7D%20)
Therefore, Sophia now has 39 cents.
Hi,
![16 = - 5 + z4 \\ - 4z + 16 = - 5 \\ - 4z = - 5 - 16 \\ - 4z = -21](https://tex.z-dn.net/?f=16%20%3D%20-%205%20%2B%20z4%20%5C%5C%20-%204z%20%2B%2016%20%3D%20-%205%20%5C%5C%20-%204z%20%3D%20-%205%20-%2016%20%5C%5C%20-%204z%20%3D%20-21)
Now just divide both sides of equation by -4.
![z = \frac{21}{4}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B21%7D%7B4%7D%20)
Simplify:
![z = 5 \frac{1}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: fraction \: result](https://tex.z-dn.net/?f=z%20%3D%205%20%5Cfrac%7B1%7D%7B4%7D%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20fraction%20%5C%3A%20result)
Decimal form:
![z = 5.25 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: decimal \: result](https://tex.z-dn.net/?f=z%20%3D%205.25%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20decimal%20%5C%3A%20result)
Hope this helps.
r3t40