Let’s call the number of gallons of 30% solution “x”. If we mix together 40 gallons and x gallons of solution, we’re going to come out with a total of 40 + x gallons of that 20% solution. Mathematically, this is
40(12%) + x(30%) = (40 + x)(20%)
With the percents as decimals:
40(0.12) + x(0.3) = (40 + x)(0.2)
Simplifying, we have:
4.8 + 0.3x = 8 + 0.2x
Collecting the x terms on one side and the constants on the other:
0.1x = 3.2
And multiplying both sides by 10 to find x:
x = 32
So, you’ll need 32 gallons of 30% solution to yield 40 + 32 = 72 gallons of 20% solution.
Answer:
It is a simple interest account
Step-by-step explanation:
As we might see from the given earnings, the amount of money he earned each year is the same as in the previous year. This means that the amount of money is growing linearly instead of exponentialy. This is characteristic to a simple interest account, which is found by using the formula:
I=Prt
where I = interest earned.
P = principal
r = Interest rate
t = time in years,
if we use this formula to calculate the amount of money earned after t years, we can see it will be the same as the values reported:
I=$300(0.02/year)(1year)=$6
I=$300(0.02/year)(2years)=$12
I=$300(0.02/year)(3years)=$18
So this simple interest account.
Answer:
68 degrees
Step-by-step explanation:
To get the interior angle, we use an important triangle principle
The principle is that the sum of the opposite interior angles equal the exterior angle
Let the second interior angle be x
x + 51 = 119
x = 119-51
x = 68
360 * 2=720
1049-720=320
320/2=110 so the answer is it is 110 ft wide
Answer:
The African elephant weighs <u>111.5 tons</u> less than a blue whale.
Step-by-step explanation:
Given:
Animal Weight(pounds)
African Elephant 15,000
Blue Whale 238,000
Now, to find the weight of how more tons does a blue whale weigh than an African elephant.
As given, 1 ton = 2,000 pounds.
So, to convert the weight from pound to tons by dividing:
African elephant 
Blue whale 
Now, to get the weight of how more tons is blue whale weigh than an African elephant we subtract:
Therefore, the African elephant weighs 111.5 tons less than a blue whale.
