Answer:
C) 119.75 + 2.25p <= 500; p <= 169
Step-by-step explanation:
My friend, for this problem you must realize that there is a fixed cost of 119.75 that we add always. Then $2.25 per pastry manufactured is also part of the total costs. Thus, we add both of them where p represents pastry to get 119.75 + 2.25p.
But, the question says the shopkeeper would like to stay under or be exactly at $500 for total costs. Thus, for this inequality, we set this equation as being <u>less than equal to 500.</u>
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Solve for p by adding 119.75 on both side and dividing both sides by 2.25 afterwards and you get 169.
0.405, 0.45 , 0.5 , 4.5 : Least to greatest!
Put all of the steps together
First find the slope of the line that passes through (4,-1) and (-2,3) by calculating "change in y" / "change in x"
So slope = -4/6 = -2/3
Remember the format y = mx + b?
So pick any of the two coordinates (I'll use (4,-1)) and sub in what you can.
-1 = -2/3(4) + b
Solve for b and you'll get 1.66666.... aka 1 2/3
So the equation is y = -2/3x + 5/3
Now for the next question.
So 5/2.5 = y/10
cross multiply and simplify and you'll get y = 20
Answer:
The three consecutive odd integers are -27, -25 and -23
Step-by-step explanation:
The sum of three consecutive odd integers is -75. We need to find those integers.
Let first integers be: n,
Let second integers be: n+2
Let third integers be: n+4
There sum will be:
Now solving this equation to find three odd integers
So, value of n =-27
Hence first integer n = -27
second integer n+2 = -27+2 = -25
third integer n+4 = -27+4 = -23
So, The three consecutive odd integers are -27, -25 and -23
