Let m be the amount is measles vaccines. and p be the amount of polio vaccines . 4p would be the amount of polio doses, and 2m would be the amount of measles doses. So the amount is measles an polio doses combined equals 2m + 4p.
2m + 4p = 184
Multiple by sides by half
1/2(2m + 4p) =1/2•184
Simplify
M+2p=92
Now comes he slightly more complicated part. In an equation, both sides are equal, so you can subtract the right side of an eqaution from the right side of a different eqaution and do the same thing with the left side.
M+p=60 because they are the number of vacaines. We can subtract this equation from other equation.
M+2p=92
M+p=60
M-m is 0, so it leaves. 2p-p is p, so the left side of our new equation is p. 92-60 is 32, so we end up with p=32. Then you can subtract p from p+m to get that m is 28.
Hope this helps.
Answer:
(x, y) = (4, 9)
Step-by-step explanation:
You can use the second equation to write an expression for y.
y = 10 - 1/4x . . . . subtract 1/4x from the given 2nd equation
Now, substitute that for y in the first equation:
1/2x + 1/3(10 -1/4x) = 5
1/2x + 10/3 -1/12x = 5 . . . . eliminate parentheses
You can work this a couple of ways from here. One is to multiply by 12 to eliminate fractions. Another is to work with the numbers as they are. We'll do that, because we don't get enough practice doing arithmetic with fractions.
5/12x = 5/3 . . . . . subtract 10/3
x = (5/3)/(5/12) = 12/3 = 4
From above, we can use our expression for y:
y = 10 - 1/4·4 = 9
The solution is (x, y) = (4, 9).
They are called diagonals. Is that what you wanted to know?
Answer:
Step-by-step explanation:
interior angle = sum of interior angles/total no. of angles
= 540/5 = 108