Answer:
Answer:
Option (b) is correct.
4x + 6y < 120 inequalities that can be paired with x + y ≥ 20 to create a system that represents the given situation.
Step-by-step explanation:
Given: A small rug requires 4 hours for dyeing and a medium-size rug requires 6 hours for dyeing. The dyers have to make at least 20 rugs, and they must do it in less than 120 hours.
We have write an inequalities that can be paired with x + y ≥ 20 to create a system that represents the given situation and choose the correct option from given options.
Let x represents the small rugs and y represents the medium rugs.
Also, x + y ≥ 20 represents the dyers have to make at least 20 rugs.
And it is given that a small rug requires 4 hours for dyeing and a medium-size rug requires 6 hours for dyeing and that they must do it in less than 120 hours.
So, time taken to dye x small rugs = 4x
also, time taken to dye y medium rugs = 6y
And they have maximum of 120 hours.
So this inequality is represented by 4x + 6y < 120
The answer is: 4x + 6y < 120
it the temperature is -2 and rises by 15 you do -2+ 15 to get 13
Answer:
First type of fruit drinks: 48 pints
Second type of fruit drinks: 32 pints
Step-by-step explanation:
Let's call A the amount of first type of fruit drinks. 55% pure fruit juice
Let's call B the amount of second type of fruit drinks. 80% pure fruit juice
The resulting mixture should have 65% pure fruit juice and 80 pints.
Then we know that the total amount of mixture will be:
Then the total amount of pure fruit juice in the mixture will be:
Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.8 and add it to the second equation:
+
--------------------------------------
We substitute the value of A into one of the two equations and solve for B.
$9.57 because 67/7=9.57 only use the first 2 numbers after the decimal with money
