Answer:
They should add gallons of the store-bought lemonade.
Step-by-step explanation:
Given that,
Two friends make 2 gallons of lemonade containing 30% lemon juice.
The amount of lemon juice in 2 gallons of lemonade is
= 30% of 2 gallons
gallons
Let they added x gallons of store-bought lemonade that contains 20% lemon juice.
The amount of lemon juice in x gallons of lemonade is
= 20% of x gallons
gallons
Now the total amount of lemon juice in the mixture is
gallons
gallons
Total amount of lemonade is = (2+x) gallons.
The percentage of lemon juice in the lemonade is
According to the problem,
⇒ 60+20x= 23(2+x)
⇒60+20x= 46+23x
⇒23x-20x= 60-46
⇒3x=14
gallon
They should add gallons of the store-bought lemonade.
Thats not a specific question
Answer:
<em>r=4.5% daily</em>
Step-by-step explanation:
<u>Exponential Growth</u>
The natural growth of some magnitudes can be modeled by the equation:
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
We know after t=32 days, the population has increased by 309%. Being the original population P the 100%, then the population reached 309+100= 409%.
Substitute the given values into the model function:
Simplifying:
We need to solve for r. Taking the 32nd root:
Simplifying:
Solving:
r=4.5% daily
If you factor it then your answer will be -3(-3z-5) if you simplify the answer is 9z+15
Answer:
P=$254
Step-by-step explanation:
let Hot N' Spicy be x
and Mild Mannered be y
the objective function is
38x+35y=P
the constraints are
1. tomato sauce
2x+3y=18--------1
2. hot peppers
2x+y=10--------2
solving 1 and 2 we have
using substitution method
2x+y=10--------2
y=10-2x
put y=10-2x in eqn 1
2x+3(10-2x)=18
2x+30-6x=18
2x-6x=18-30
-4x=-12
x=12/4
x=3
put x=3 in eqn 2 we have
2(3)+y=10
6+y=10
y=10-6
y=4
He should make 3 gallons of Hot N' Spicy
and 4 gallons Mild Mannered
38(3)+35(4)=P
114+140=P
254=P
P=$254