Answer:
The second one
Step-by-step explanation:
Answer:
0.95 liter in each container
Step-by-step explanation:
Orange juice=2.8 liters
Pineapple juice=0.75 liter
Ginger ale=1.2 liters
If Liv mix the three ingredients above to make punch and he split the punch into 5 containers, how much punch will be in a container.
Firstly,
Add the three ingredients together.
We have,
2.8 + 1.2 + 0.75=4.75 liters
Next is to divide the total liters by 5
That is,
4.75/5=0.95 liter
Hello!
There is a discount of 40%, which means that we will be subtracting 40% of the price, and then sales tax is basically additional money added to the price, so we will be adding that.
65.00 * 40% = 26
65.00 - 26 = 39
So, the discounted price is $39. Now we must add tax on that.
39 * 5% = 1.95
39 + 1.95 = 40.95
The final price of the jacket is $40.95.
Answer:
0.9%
Step-by-step explanation:
Given that:
A nest of ant is represented by the exponential growth function :
P(w)=24,000(1.063)^w
Where w = number of weeks
Recall :
Growth function is generally represented as :
P(t) = A(1 + r)^t
Where ; A is the initial population figure; r = growth rate and t = time
Hence, the growth rate per week of the function given is :
(1 + r) = 1.063
r = 1.063 - 1
r = 0.063
Number of days in a week = 7
Hence, growth rate per day = r /7
0.063 / 7
= 0.009
(0.009 * 100%) = 0.9%
18 kg of 15% copper and 72 kg of 60% copper should be combined by the metalworker to create 90 kg of 51% copper alloy.
<u>Step-by-step explanation:</u>
Let x = kg of 15% copper alloy
Let y = kg of 60% copper alloy
Since we need to create 90 kg of alloy we know:
x + y = 90
51% of 90 kg = 45.9 kg of copper
So we're interested in creating 45.9 kg of copper
We need some amount of 15% copper and some amount of 60% copper to create 45.9 kg of copper:
0.15x + 0.60y = 45.9
but
x + y = 90
x= 90 - y
substituting that value in for x
0.15(90 - y) + 0.60y = 45.9
13.5 - 0.15y + 0.60y = 45.9
0.45y = 32.4
y = 72
Substituting this y value to solve for x gives:
x + y = 90
x= 90-72
x=18
Therefore, in order to create 90kg of 51% alloy, we'd need 18 kg of 15% copper and 72 kg of 60% copper.
