Answer:
x = 85
Step-by-step explanation:
To solve, first find the angle of the other missing angle in the left by subtracting the outside angle from 180:
180 - 155 = 35
Then add this and the known angle:
35 + 60 = 95
Then subtract this from 180 to get the missing angle for x:
180 - 95 = 85
Answer:
25 pounds
Step-by-step explanation:
Let us assume that initially, 1 pound of whole chicken costs x.
So, initially 20 pounds of whole chicken costs 20x.
Now, the price is reduced by 20%.
That means that 1 pound of whole chicken now costs ![x[1-\frac{20}{100} ]=0.8x](https://tex.z-dn.net/?f=x%5B1-%5Cfrac%7B20%7D%7B100%7D%20%5D%3D0.8x)
Therefore, with a 0.8x amount of money, we can now purchase 1 pound of the whole chicken.
Hence, with a 20x amount of money, we can now purchase 
pounds of the whole chicken.
Answer:
$720
Step-by-step explanation:
Given :
Mean, m = 600
Standard deviation, s = 120
Z = (x - m) / s
P(Z > x) = 84%
P(Z > x) = 0.84
Zscore corresponding to P(Z > x) = 0.84 will be -0.994
Hence,
-0.994 = (x - 600) / 120
120 * -0.994 = x - 600
119.28 = x - 600
119.28 + 600 = x
719.28 = x
Hence,
X = $720
You follow the rules for the quadratic formula, where
x= (-b +- √(b²-4ac) )/2a
Filling a, b and c in yields
x = (8 +- √(64-164) ) / 2 =>
x = (8 - √-100)/2 or x = (4 + √-100)/2
Well, √-100 = 10i, so then you simplify to the last answer, D:
x = 4-5i or x=4+5i
Original price of the radio is $64.30
Sale price - $51.44
Discount rate - 20%
This means that $51.44 is the discounted price or is equivalent to 80% of the original price, since the 20% equivalent is deducted from the original price.
To get the original price, divide $51.44 by its corresponding percentage, 80%.
$51.44 / 80% = $64.30
To get the discount, multiply the original price by its discount rate
$64.30 x 20% = $12.86
To get the sales price, deduct the discount from the original price.
$64.30 - $12.86 = $51.44
100% - 20% = 80%
