Answer:
(-2,6)
Step-by-step explanation:
The solution to the system of equations should be true for both equations. This means that if you substitute -2 into both equations, you should get 6 as the y value for both equations.
They gave you a graph, and to find the solution from the graph, you just look at which point is shared by both lines, or at which point both lines intersect.
There is also a mathematical way to do it using substitution and elimination, but you should master the graphing method first before moving onto those.
Answer:
the integer in question lies between 13 and 14.
Step-by-step explanation:
Review the perfect squares in the neighborhood of 194. The first that came to my mind was 225 (the squre of 15), and then 196 (the square of 14), and then 169, the square of 13.
Since 169 < x^2 < 196, the integer in question lies between 13 and 14.
Check with a calculator: √194 ≈ 13.93
Answer:
40 individual hotdogs and 40 individual hot dog buns
4 hotdog packages and 5 hot dog bun packages
Step-by-step explanation:
multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80
multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80
Least common multiple (LCM) is 40
10*4=40
8*5=40
Subtract the thickness of the known piece from the total thickness.
Because they have different denominators rewrite them to have the same.
9/32 x 2 = 18/64
Now you have 33/64 - 18/64 = 15/64
The other piece is 15/64 inch thick.
