Step-by-step explanation:
1) x/20 = -9
By cross multiplication,
x = -180
2) -168 = -14k
k = -168/-14
k = 12
3) -5m = -50
m = 10
4) -320 = -20n
n = 16
5) -4 = x - 5
x = 1
6) -6(-8 + n) = -54
42 - 6n = -54
-6n = -54 -52
6n = 106
n = 17.6
7) 3(x - 9) = -3
3x - 27 = -3
3x = 24
x = 8
8) 9k + 3 = -78
9k = -81
k = -9
9)4 + (n/4) = 8
By taking LCM,
16 + n/4 = 8
16 + n = 32
n = 16
10) -5r + 7 = -73
-5r = -80
r = 16
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>
The general equation for any circle with its center at point (a, b) is
(x - a)² + (y - b)² = (radius)²
So the circle in the question is centered at (-3, -4), and its radius is 3 .
Answer & Explanation:
For this question, you need to figure out the length and the width because the area is directly related to them (A = l*w).
What we do know is that the perimeter is 36 inches. Since the perimeter is equal to P = 2l + 2w, we can say:
P = 36 = 2(3 + 2w) + 2(w), where the length l is 3 + 2w
Solve for w first, then solve for l. Use these values to find the area.
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Answer:
$34.83
Step-by-step explanation:
First convert 3/4 to decimal form: 3/4 = 0.75
Create a proportion using similar rates:
$2.75 / 0.75 lb = x / 9.5 lb
where "x" represents the price of the 9.5 lbs of grapes we need to find.
Solve for x by multiplying both sides by 9.5 lb to isolate x completely
2.75 * 9.5 / 0.75 = x
Therefore x = $34.83
