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Gre4nikov [31]
2 years ago
15

Jenny is throwing a surprise birthday party for her best friend Katie. She has decided to make Katie’s favorite dish, meat loaf.

There will be a total of 40 people at the party. Answer the following questions:
• The recipe says it serves 8 people. By what number should Jenny multiply each ingredient to make enough meat loaf for everyone? 5
• The recipe calls for 1 1/2 lbs. of ground beef. How much ground beef will Jenny need to make enough meat loaf for everyone?
• Jenny will be serving milk with the meal. She plans on using 8 oz. glasses. How many gallons of milk does she need to make sure everyone gets one glass of milk?
Mathematics
1 answer:
miskamm [114]2 years ago
6 0

Answer:

The answer is below

Step-by-step explanation:

a) The recipe for the meat loaf used by Jenny can serve a total of 8 people. Since there are 40 people in total to serve, the number of each ingredient needed is:

Number of each ingredient = total number of people / number of people served by one recipe

Number of each ingredient = 40 / 8 = 5

b) Since each recipe contains 1 1/2 lb (1.5 lbs) of ground beef, the total amount of ground beef needed to feed everyone is:

Total amount of ground beef = 1.5 lbs * 5 = 7.5 lbs

c) Since one serving would require 8 oz of milk. To serve everyone, the amount of milk needed is:

Amount of milk = 40 people * 8 oz = 320 oz

128 oz = 1 gallon

Amount of milk = 320 oz * 1 gallon / 128 oz = 2.5 gallon

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Find and simplify the following for ​f(x)=x(22-x), assuming h ≠ 0 in (C),a. f(x + h)b. f(x+h)- f(x)c. f(x+ h)- f(x)/h
Gre4nikov [31]

Answer:

The answer is below

Step-by-step explanation:

Given that f(x)=x(22-x)

a) f(x)=x(22-x)

f(x + h) = (x + h)(22 - (x + h))

f(x + h) = (x + h)(22 - x - h)

f(x + h) = (22x - x² - xh + 22h - xh - h²)

f(x + h) = (-x² + 22x - h²+ 22h - 2xh)

b) f(x)=x(22-x) = 22x - x²

f(x + h) = (-x² + 22x - h²+ 22h - 2xh)

f(x+h)- f(x) = (-x² + 22x - h²+ 22h - 2xh) - (22x - x²)

f(x+h)- f(x) = -x² + 22x - h²+ 22h - 2xh - 22x + x²

f(x+h)- f(x) = -x² + x² + 22x - 22x  - h²+ 22h - 2xh

f(x+h)- f(x) = - h²+ 22h - 2xh

c) f(x+h)- f(x) = - h²+ 22h - 2xh

\frac{f(x+h)-f(x)}{h}=\frac{- h^2+ 22h - 2xh}{h}\\  \\\frac{f(x+h)-f(x)}{h}=\frac{- h^2}{h}+\frac{22h}{h}-\frac{2xh}{h}\\\\\frac{f(x+h)-f(x)}{h}=-h+22-2x

\lim_{h \to 0} \frac{f(x+h)-f(x)}{h}= \lim_{h \to 0} (-h+22-2x )=22-2x

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