Answer:
Hewo! :3
A nice trick i use for word problems is that i highlight the numbers and what they are, like: liters, kilograms, grams, etc. say this is your word probem:
Suzie made <u>30 kilograms</u> of party mix chips and <u>40 liters of punch</u> for her party, Suzie had <u>20 people at her party</u>, how much punch and party mix chips will there be when the party is over?
I highlighted what i would have highlighted if it was a real word problem.
Good luck! Hope my trick works for you too!
Answer:
$550
Step-by-step explanation:
How much is the profit for 1 burrito?: $8 - ($1.50+$1) = $5.5
So, profit for 100 burritos is $5.5 x 100 = $550.
Hope this helps.
Answer:
6:5
Step-by-step explanation:
Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.
The algae is spherical in nature
Volume of the algae =4/3 pi r³
Volume of the algae = 4/3×pi×2.5³
Volume of the algae = 62.5/3 pi
Surface area = 4pi r²
Surface area = 4pi ×2.5²
Surface area = 25pi
Taking their ratio
surface area : volume ratio
= 25pi:62.5/3 pi
= 25 × 3/62.5
= 1.2
Hence the required ratio is 12/10 which is 6:5
Answer:
x = 7
y = 3
z (max) = 4950/3 = 1650
Step-by-step explanation:
Let call
x numbers of church goup and
y numbers of Union Local
Then
First contraint
2*x + 2*y ≤ 20
Second one
1*x + 3*y ≤ 16
Objective Function
z = 150*x + 200*y
Then the system is
z = 150*x + 200*y To maximize
Subject to:
2*x + 2*y ≤ 20
1*x + 3*y ≤ 16
x ≥ 0 y ≥ 0
We will solve by using the Simplex method
z - 150 *x - 200*y = 0
2*x + 2*y + s₁ = 20
1*x + 3*y + 0s₁ + s₂ = 16
First Table
z x y s₁ s₂ Cte
1 -150 -200 0 0 = 0
0 2 2 1 0 = 20
0 1 3 0 1 = 16
First iteration:
Column pivot ( y column ) row pivot (third row) pivot 3
Second table
z x y s₁ s₂ Cte
1 -250/3 0 0 200/3 = 3200/3
0 - 4/3 0 -1 2/3 = -20/3
0 1/3 1 0 1/3 = -20/3
Second iteration:
Column pivot ( x column ) row pivot (second row) pivot -4/3
Third table
z x y s₁ s₂ Cte
1 0 0 750/12 700/6 = 4950/3
0 1 0 3/4 -1/2 = 7
0 0 1 -1/4 1/2 = 9/3
False
Because the left side comes out to a sum of 40 while 15-7 equals 8 and 24 times 3 equals 72 72 plus 8 equals 80 divided by 2 equals 40 and 8 times 9 equals 72 plus 6 equals 78 plus 6 equals 84
