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Complete Question
Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar. Let x = the number of packages of pasta and y = the number of jars of pasta sauce. One package of pasta is the right amount to go with one jar of pasta sauce. What is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry? Explain your reasoning.
Answer:
Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.
Step-by-step explanation:
Let
x = the number of packages of pasta
y = the number of jars of pasta sauce.
He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.
x + 1.5y ≤ 20....... Equation 1
x = 20 - 1.5y
x × $1 + y × $3 = $36
x + 3y ≤ 36..... Equation 2
20 - 1.5y + 3y = 36
-1.5y + 3y = 36 - 20
1.5y = 16
y = 16/1.5
y = 8
And x = 8
Therefore,
Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.
Total commission that Lamar got is:
6.5/100×785,000
=$51,025
Amount that Lamar split with his broker:
40/100×51025
=$20410
Amount that brokerage split
=50/100×20410
$10205
Total amount Lamar received $10205
Answer:
f(x) + 2.
Step-by-step explanation:
Example:
If we have say f(x) = x + 1 then 2 units will be added to f(x) when it is moved up 2 units.
So the equation of this line will be f(x) + 2 which in this example is
x + 1+ 2.
The new function is x + 3.
Answer:
x=πn, n∈Z
Step-by-step explanation:
if sin²2x=1-cos²2x, then
1-cos²2x-2cos2x+2=0; ⇒ cos²2x+2cos2x-3=0; ⇔ (cos2x+3)(cos2x-1)=0;
Nadia Is correct I believe, Because if a pizza is cut into 8 slices each slice is going to be smaller. but if it were to be cut into fourths it would be bigger. They are indeed equivalent but still never the same in size.
