<h3>
Answer: 45 degrees</h3>
The purple arc is 315 degrees. The remaining bit (angle b) must add to 315 to get 360 degrees, which is a full rotation.
315+b = 360
b = 360-315
b = 45
Answer:
The probability a random selected radish bunch weighs between 5 and 6.5 ounces is 0.8185
Step-by-step explanation:
The weight of the radish bunches is normally distributed with a mean of 6 ounces and a standard deviation of 0.5 ounces
Mean = 
Standard deviation = 
We are supposed to find the probability a random selected radish bunch weighs between 5 and 6.5 ounces i.e.P(5<x<6.5)

At x = 5

Z=-2

At x = 6.5

Z=1
Refer the z table for p value
P(5<x<6.5)=P(x<6.5)-P(x<5)=P(Z<1)-P(Z<-2)=0.8413-0.0228=0.8185
Hence the probability a random selected radish bunch weighs between 5 and 6.5 ounces is 0.8185
Using proportions, it is found that $1,225 is earned from nachos.
- This question is solved by <em>proportions</em>, using a rule of three.
- The measures have an inverse relationship, hence line multiplication is applied instead of cross multiplication.
- When the theater makes $1,540 from popcorn sales, it makes $1,330 from nacho sales. How much is earned from nachos when $1,672 is earned from popcorn?
The <em>rule of three</em> is:
$1,540 - $1,330
$1,672 - $x
Applying line multiplication:



$1,225 is earned from nachos.
To learn more about proportions, you can take a look at brainly.com/question/24372153
Answer:

Step-by-step explanation:
Given


Required
Equivalent form of the first equation that eliminates x when added to the second
To do this, we simply make the coefficients of x to be opposite in both equations.
In the second equation, the coefficient of x is 8.
So, we need to make the coefficient of x -8, in the first equation.

Multiply by -10
![-10 * [\frac{4}{5} x-\frac{3}{5}y=18]](https://tex.z-dn.net/?f=-10%20%2A%20%5B%5Cfrac%7B4%7D%7B5%7D%20x-%5Cfrac%7B3%7D%7B5%7Dy%3D18%5D)

<em>When this is added to the first equation, the x terms becomes eliminated</em>