Answer:
y = 1
x = -1
Step-by-step explanation:
x - 2y = -3, then x = 2y - 3
2x + y = -1
substitute for x:
2(2y - 3) + y = -1
4y - 6 + y = -1
5y = 5
y = 1
x = 2 - 3 = -1
Answer:
Part A)
1) 
2)
Part B)
1) 
2)
Step-by-step explanation:
Part 1) x and y vary inversely and x=50 when y=5 find y when x=10 what is k?
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
or 
step 1
<u>Find the value of k</u>
x=50 when y=5
substitute the values
------>
-----> 
The equation is equal to
or 
step 2
<u>Find y when x=10</u>
substitute the value of x in the equation and solve for y
Part B) x and y vary directly and x=6 when y=42 find k what is y when x=12
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form
or 
step 1
<u>Find the value of k</u>
x=6 when y=42
substitute the values
------>
----->
The equation is equal to
or
step 2
<u>Find y when x=12</u>
substitute the value of x in the equation and solve for y
Answer:
see explanation
Step-by-step explanation:
x = r cosΘ
y = r sinΘ
with r = 54 and Θ = 69°, thus
x = 54cos69° ≈ 19.4
y = 54sin69° ≈ 50.4
Thus (54, 69° ) as an ordered pair
= ![\left[\begin{array}{ccc}19.4\\50.4\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D19.4%5C%5C50.4%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Answer:
4
Step-by-step explanation:
Amount spent on coffee = 70 - 39.56 = 30.44
One pound costs 7.61, how many will cost 30.44
7.61 : 1 = 30.44 : X
7.61 = 30.44/X
X = 30.44/7.61
X = 4