<span>Is (2,12) a solution to the given system? y>2x+4 y<3x+7
Yes
What is the solution of the system of equations shown below?
2x+2y=10 5x-2y=4
(2,3)
The point (-3,11) is a solution of which of the following systems?
y≥x-2
Melissa keeps a jar for holding change. The jar holds 21 coins. All of the coins are quarters and nickels. The total amount in the jar is $3.85. How many quarters are in the jar?
21
Steve is taking a 50 question test and he answered all questions. He earned 3 points for each question he answered correctly. He lost 1 point for each question he answered incorrectly. His final test score was 102 points. The system of equations below describes the relationship between the number of questions he answered correctly (x) and the number of questions he answered incorrectly (y).
x+y=50 3x-y=102
Part of the solution of the system of equations is x=38. What does this value represent?
the number of points Steve earned from questions he answered correctly
Drake is recording a new album. The record company wants him to record 14 or fewer songs and the album must be shorter than 72 minutes. He can record short songs that are about 3 minutes in length or long songs that are about 5 minutes in length. Which system of inequalities best represents the number of short songs (x) and the number of long songs (y) Drake can record for his new album?
3x+5y≤72</span>
Answer:
the chemist should use 60 liters of 55% solution and 40 litres of 30% solution in order to prepare 100 liters of 45% purity of sulphuric acid.
Step-by-step explanation:
From the given information,
Let x be the litres of 55% pure solution
Let y be the litres of 30% pure solution
Also;
Given that our total volume of solution is 100 litres
x+y =100 ---- (1)
The total solution of pure by related by the sum of the individual pure concentrations to make up the concentration of final solution.
(0.55)(x)+(0.30)(y) = 0.45(100) ---- (2)
From equation (1)
Let ; y = 100 - x
Replacing the value for y = 100 - x into equation (2)
(0.55)(x)+(0.30)(100-x) = 0.45(100)
0.55x + 30 - 0.30x = 45
0.55x - 0.30x = 45 - 30
0.25x = 15
x = 15/0.25
x = 60 liters of 55% solution
From ; y = 100 - x
y = 100 - 60
y = 40 litres of 30% solution.
Therefore, the chemist should use 60 liters of 55% solution and 40 litres of 30% solution in order to prepare 100 liters of 45% purity of sulphuric acid.
168=-8x
-8 -x
-21 = x
Division, 168 divided by -8
In 1.5 hours, she got 43 cups of water (assuming they're all full)
So, in an hour, she got 43 : 1.5 = 86/3 cups
From 4 in the afternoon to 3:30pm next day, that is 23 hours 30 minutes. (full day - 30 min)
Convert 23 hours 30 minutes to 23.5 hours
So, she will tell you that 86/3 x 23.5 = 2021/3 cups of water is gonna be wasted. (if you need to round it's 674 cups.)
Answer:
Definition of the domain and range
The domain is all x-values or inputs of a function and the range is all y-values or outputs of a function. When looking at a graph, the domain is all the values of the graph from left to right. The range is all the values of the graph from down to up.
Step-by-step explanation:
I hope this can h help you
