Let x and y represent the larger and smaller numbers, respectively. The problem conditions give rise to two equations:
x + y = 7
5x +4y = 47
You can use the first equation to write an expression for y, then substitute that into the second equation.
y = 7 - x
5x +4(7 -x) = 47 . . . . substitute for y
x + 28 = 47 . . . . . . .. simplify
x = 19 . . . . . . . . . . . . subtract 28
Using our expression for y, we have
y = 7 -19 = -12
The larger number is 19.
The smaller number is -12.
Answer:
Yes, because (-1,2) is a solution to both inequalities
Step-by-step explanation:
2>-1 so the first inequality is correct
-1+2>0 so the second inequality is correct
Answer:
Step-by-step explanation:
<u>Use the law of cosines:</u>
- cos ∠B = (a² + c² - b²) / (2ac)
- cos ∠B = (16² + 22² - 21²) / (2*16*22)
- cos ∠B = 0.4247
- m∠B = arccos 0.4247
- m∠B = 64.86° (rounded to the nearest hundredths)
You would get 3 per person
Answer:
100x-40
Step-by-step explanation:
10*10x and 10* -4