Answer:
73 dimes and 133 nickels
Step-by-step explanation:
$13.95 = 1395 cents
5n + 10d = 1395 (since each nickel is 5 cents and each dime is 10 cents)
5n = 1395 - 10d (subtract 10d from both sides to solve for n)
n = 279 - 2d
n + d = 206
279 - 2d + d = 206 (substitute n with the previous expression)
279 - d = 206 (add variable d and -2d)
-d = -73 (solve for d and divide both sides by negative 1)
d = 73
n + 73 = 206 (solve for n and subtract both sides by 73)
n = 133
<span>y=-4/x+1 is ambiguous, since it's not immediately clear whether you meant
-4
y = -4/x + 1 or y = ---------
x+1
I'm going to assume that the latter is what you meant.
1. Interchange x and y, obtaining:
-4
x = --------
y+1
2. Solve this for y, obtaining y+1 = -4/x, or xy + x = -4, or
-x - 4
xy = -x-4, or y = ---------
x
-1 -1 4
3. Replace y with f (x): f (x) = -1 - -----
x
This last result has the correct form.</span>
Answer:
Step-by-step explanation:
From the graph attached,
Coordinates of the vertices are,
Q(1, 3), R(3, -3), S(0, -2) and T(-2, 1)
Following the rule of translation by 3 units to the right and 2 units down 
(x, y) → (x+3, y-2)
Q(1, 3) → Q''(4, 1)
R(3, -3) → R"(6, -5)
S(0, -2) → S"(3, -4)
T(-2, 1) → T"(1, -1)
Following rule 
(rotation of a point by 180° about the origin) will give the image points,
(x, y) → (-x, -y)
Q"(4, 1) → Q'(-4, -1)
R"(6, -5) → R'(-6, 5)
S"(3, -4) → S'(-3, 4)
T"(1, -1) → T'(-1, 1)
Answer:
x=16°
Step-by-step explanation:
5*x-30=2*(x+18)
For the second, I'd say it is:
5*x-30=2*x+18
Let's solve both.
5*x-30=2*(x+18)
5x-30=2x+36
3x=66
x=22
5*x-30=2*x+18
3x+48
x=16°
