Answer:
a) p + m = 10 and 
b) The mixing amount is 5 lb peanut and 5 lb mixture.
Step-by-step explanation:
Given that p pounds of peanuts and m pounds of the 80% almond and 20% peanut mixture are used to make 10 pounds of 60% peanuts and 40% of almonds mixture.
Now, we can write that p + m = 10 ........ (1)
Now, m pounds of 80% almond and 20% peanut mixture contain 0.2m pounds of peanuts and 0.8m pounds of almonds.
Now, from the condition given it can be written that
.......... (2)
⇒ 
⇒ 2p + 0.4m = 2.4m
⇒ 2p = 2m
⇒ p = m
Now from equation (1) we get p = m = 5 pounds.
a) Therefore, equations (1) and (2) are the system of equations that models the situation.
b) The mixing amount is 5 lb peanut and 5 lb mixture. (Answer)
Answer:
x = sqrroot(5)
Step-by-step explanation:
5:12 means there are 17 parts
Percentages are calculated by dividing the part by the total, and multiplying by 100
Julie put in 5 out of 17 parts so:
×100=29.4%
Kristen owns the rest of the business
×100=70.6%
The amount of money doesn't make a difference, as the percentage will always be the same.
Answer:
Around 2.9 gallons is equivalent to 11 liters.
Step-by-step explanation:
<u>Key skills needed: Conversion, Division, Equations</u>
1) 1 gallon = 3.79 liters
2) We want to find how many gallons 1 liter is equal to ---> Use the original equation and divide by 3.79 on both sides.
You will get --> 1 liter = 1/3.79 gallons
3) To find how many gallons 11 liters is we multiply both sides by 11.
We will get 11 liters = 11/3.79 gallons ---> 11/3.79 is 2.9 when rounded to the nearest tenth.
Therefore 2.9 gallons is the answer.
<em>Hope you understood and have a nice day!! :D</em>
Ur first gonna move that 3 to the other side
4x^2 + 16x = -3
so ur isolating the constant
