If we let p and t be the masses of the paper and textbook, respectively, the equations that would best represent the given in this item are:
(1) 20p + 9t = 44.4
(2) (20 + 5)p + (9 + 1)t = 51
The values of p and t from the equation are 0.6 and 3.6, respectively. Thus, each paperback weighs 0.6 pounds and each textbook weighs 3.6 pounds.
Answer:
(5,-1) or x=5 y=-1
Step-by-step explanation:
I used the substitution method to solve this!
<em>1. Pick one of your equations and solve for one of the variables. I chose the first equation and solved for x.</em>
x-2y=7
(Move the -2y to the other side of the equation in order to get the x by itself. You do the opposite, so it becomes +2y.)
x=2y+7
<em>2. Now take your second equation and plug in what you got for x into the x variable.</em>
2(2y+7)+5y=5
(Multiple 2 by everything inside of the parentheses.)
4y+14+5y=5
(We want to get the y by itself, so move the 14 to the other side.)
4y+5y=-14+5
(Combine all the like terms.)
9y=-9
(Divide the 9 from the y. What you do to one side you must do to the other.)
y=-1
<em>3. Since you have one variable solved for. Now take the first equation and plug in your y.</em>
x-2(-1)=7
(Multiple -2 by -1)
x+2=7
(Move the 2 to the other side in order to get the x by itself.)
x=5
<em>4. If needed, plug in your x and y values into the equations in order to check your answer.</em>
Hope this could help!
Answer:
Two possible sets of answers.
5 men, 11 women and 42 children, or
10 men, 2 women and 88 children
Selamat Sadhya!
Step-by-step explanation:
M = number of men
W = number of women
100-M-W = number of children
Total number of pappadas
5M+3W+(100-M-W)/2 = 100
Solve for W
W = (100-9M)/5 .......................(1)
Examine equation (1).
In order to have W as a whole number, M must be multiple of 5
Therefore M = 5 or 10
If M = 5, W = (100-45)/5 = 11 and children = 100-5-11 = 84
If M = 10, W = (100-90)/5 = 2 and children = 100-10-2 = 88
The same slope would make the equations parallel. Therefore 5/3 would make them parallel.
Answer:
The infant mortality rate in Korea based on equality provided is:
Step-by-step explanation:
Since the text mentions that the infant mortality rate in Korea is equal to the criminal success rate, the two expressions must equalize and clear the variable m, which is the rate in each of the expressions:
- 7 (m + 3) - 2 = 8m + 17.2
- 7m + 21 - 2 = 8m + 17.2
- 7m + 19 = 8m + 17.2
- 19 - 17.2 = 8m - 7m
- 1.8 = m
As you can see, once the equality of the expressions is solved, <u>a rate of 1.8</u> is obtained.