Answer: 600 bushels of 10% alcohol content and 400 bushels of 15% alcohol content.
Step-by-step explanation:
Let we add x quantity of 10% of alcohol content and y quantity of 15% alcohol content for making 12% of alcohol content mixture.
Then according to the question, 10% of x + 15 % of y = 12% of 1000
⇒ 0.1x + 0.15y = 120
⇒ 10x + 15y = 1200
⇒ 2x +3y = 2400 -------- (1)
And, x + y = 1000
⇒ 2x + 2y = 2000 ---------(2)
Equation 1) - equation 2)
We get y = 400
By putting the value of y in equation 1),
⇒2x + 1200 = 2400
⇒ 2x = 1200
⇒ x = 600
Thus, he needs to mix 600 bushel of 10% of alcohol content with 400 bushels of 12% of alcohol content for getting 1000 bushels of 12% of alcohol content.
Answer:
16 cm²
Step-by-step explanation:
Answer:
<u><em>x=9</em></u>.
<em><u>perimeter=68</u></em>
<em><u>area=168</u></em>
Step-by-step explanation:
First find the side that has a exact number which would be the bottom 28cm then look at the opposite side (2x+10) in order to find x subtract 10 from 28 which gives you 18, now 2x means x multiplied by 2 so what multiplied by 2 = 18? 9 meaning <u><em>x=9</em></u>. Now you are going to want to plug 9 in to your short side (x-3) once you plug it in it should look like this 9-3 and 9-3=6 meaning the short side is 6cm. In order for you to find the perimeter you have to add the sides together so 28+28+6+6 wich <u><em>=68</em></u> and in order for you to find the area you have to multiply the length and the width so 28x6 which is <em><u>168</u></em>.
hope that helped :)
For this case, the first thing we must do is identify the linear expressions.
first linear expression = y1 = x
second linear expression = y2 = 5
We have then that the difference of the second with respect to the first is:
y2-y1 = 5-x
Answer:
The difference when the second line is here is subtracted from the first is:
5-x
Answer:
D) 1,036,800 boxes
Step-by-step explanation:
The volume of a box is ...
(20 in)(18 in)(15 in) = 5400 in^3
The volume of the storage space is ...
(300 ft)(240 ft)(45 ft) = 3,240,000 ft^3
Then the number of boxes that will fit in the storage space is ...
(3240000 ft^3)(1728 in^3/ft^3)/(5400 in^3/box) = 1,036,800 boxes
