Although you have not included the statements about the solution to the set of the given equations, I can explain you what happen with that system.
You can arrive to the same conclusion by any method of solution of systems that you like.
The quickest in this case, is to multiply the equation of the lIne F by 5.
That leads to: 5 (x + y) = 5(8)
⇒ 5x + 5y = 40.
Now you can realize that the two representations (equations) correspond to the same line.
That means that there are infinite solutions, this is infinity values of x and y meet both equations.
If you graph line E and line F they overlap in the entire domain, so the graphing method also tells you that you cannot find one solution but infinite soluttions.
1:25 pm because 45 + 50 + 11:45 would be 45+ 45+50 =140..? 11:45+ 140= 12:85 which isn't possible so it would convert to 1:25 pm
Answer: 108 cubic inches
Step-by-step explanation:
Hi, to answer this question we have to apple the next formula:
Volume of a rectangular prism (V): base area x height (deep of the soil)
Replacing with the values given:
V = 36 x 3 =108 cubic inches
Ian should put 108 cubic inches of soil in the flower pot.
The volume of the soil is 108 cubic inches.
Feel free to ask for more if needed or if you did not understand something.
Since we have 2 zeros we can take them off and add them back on when we are done.
5 goes into 45 9 times.
now lets add the two zeros back on
900
5 goes into 4500 900 times
Answer:
<em>There were 8 correct answers and 2 incorrect answers.</em>
Step-by-step explanation:
The contest consists of paying $50 for each correctly answered question and subtracting $25 for each incorrectly answered question.
Let's call:
x = Number of correct answers
y = Number of incorrect answers
The resident from a dormitory answered 10 questions last week. This leads to the following condition:
![x + y = 10\qquad\qquad [1]](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%2010%5Cqquad%5Cqquad%20%5B1%5D)
Since each correct answer adds $50 and each incorrect answer subtracts $25, the weekly balance is
50x - 25y
The contestant earned $350, thus:
50x - 25y = 350
Dividing by 25:
2x - y = 14
Adding this equation with [1]:
x + 2x = 24
Simplifying:
3x = 24
x = 24 / 3
x = 8
From [1]:
y = 10 - x = 10 - 8
y = 2
There were 8 correct answers and 2 incorrect answers.