Answer:
In this scenario you should use chefs if you have less than 55 people and you should use cece's if you have more than 55 people.
Step-by-step explanation:
To find out which one will be cheaper you need to know where they intersect, to do this you need to set up a system of equations.
y=28x+590 (chefs)
y=31x+425 (cece's)
to know where they intersect you need to make the y=0
28x+590=31x+425
Then solve
subtract the x from each side
590=3x+425
Subtract 425 from each side
3x=165
divide each side by three
x=55
now evaluate
Place a number above 55 (60 for example) into the place of x
28(60)+590=2,270
31(60)+425=2,285
In this scenario you should use chefs if you have less than 55 people and you should use cece's if you have more than 55 people.
Answer:
The found values are:
y = 10
<JKM = 106°
<MKL = 74°
Step-by-step explanation:
(See the diagram attached)
As JKL is a straight horizontal line, angle measure from JK to KL is 180°.
We can see in the diagram that line KM is dividing this angle of 180° into 2 unequal parts.
Which means that the sum of <JKM and <MKL is equals to 180°.
Mathematically, it can be written as:

Substitute the values of both angle to solve the equation:

Put in the formulas of both angle to find their values:
<JKM = 10y + 6
<JKM = 10(10)+6
<JKM = 106°
<MKL = 8y - 6
<MKL = 8(10)-6
<MKL = 74°
Answer:
Given point (5,-12) falls into IV quadrant
<u>The right triangle with legs of 5 and -12, and hypotenuse is:</u>
- √5² + (-12)² = √25+144 = √169 = 13
<u>Value of sinθ, cosθ, and tanθ:</u>
- sin θ = -12/13
- cos θ = 5/13
- tan θ = -12/5
The z scores corresponding to the mean weight of a rotten apple relative to the apples from either orchard are, respectively,


The mean for the standard normal distribution is 0, which means that z scores closer to 0 represent data points that are more likely to occur. Therefore it's reasonable to believe that rotten apples occur more often in shipments from Zippy's.
Answer:
90 mi/h
Step-by-step explanation:
Given,
For first 30 miles, her speed is 30 miles per hour,
Let x be her speed in miles per hour for another 30 miles,
Since, here the distance are equal in each interval,
So, the average speed of the entire journey


According to the question,



Hence, she needs to go 90 miles per hour for remaining 30 miles.