X ≥ 0
y ≥ 0
f(x, y) = 3x + 7y
f(0, 0) = 3(0) + 7(0)
f(0, 0) = 0 + 0
f(0, 0) = 0
3x + 2y ≤ 18 ⇒ 3x + 2y = 18 ⇒ 21x + 14y = 126
6x + 7y ≤ 42 ⇒ 6x + 7y = 42 ⇒ <u>12x + 14y = 84</u>
<u>9x</u> = <u>42</u>
9 9
x = 4²/₃
3x + 2y = 18
3(4²/₃) + 2y = 18
14 + 2y = 18
<u>- 14 - 14</u>
<u>2y</u> = <u>4</u>
2 2
y = 2
(x, y) = (4²/₃, 2)
f(x, y) = 3x + 7y
f(4²/₃, 2) = 3(4²/₃) + 7(2)
f(4²/₃, 2) = 14 + 9
f(4²/₃, 2) = 23
The answer is 8
I hope this helps!
Correct Question:
Stan ran
miles, which was
fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?
Molly’s work:

Emma’s work:

Alysa’s work:
3 and two-fifths
Maddie’s work:

Answer:
Molly's Work is correct

Step-by-step explanation:
Let S represent distance covered by Stan and M represent the distance covered by Matt;
Given that the distance covered by Stan is
miles and it is
miles less than that covered by Matt;
This can be represented mathematically as

By substituting
for S;
This gives

By collecting like terms
becomes

Reorder
---- This is the correct equation
Solving further to get the distance covered by Matt;
Split fraction

Collect like terms


Add fraction (Take LCM)


Divide Fraction


Hence, the equation of the system is

and the solution is 
Molly’s work is correct
Answer: 40kg
Explanation: If 40% water and 10% pulp (Total 50%) is 20kg
Then 90% water and 10% pulp (Total 100%) would be double, so therefore 40kg
To confirm: 10% = 4kg
40kg - 4kg = 36kg
to get from 90% to 40% just divide by 2.25
the answer is 16kg
add on the pulp weight of 4kg = 20kg
Answer:
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