Answer:
C. 17, 12, 7
Step-by-step explanation:
In a triangle, the sum of the lengths of any two sides must be greater then the length of the third side. If you can show any two segments, the sum of whose lengths is less than the length of the third segment, that cannot form a triangle.
In choices A, B, and D, there is at least one sum of the lengths of two segments that is less then the length of the third segment. That shows that choices A, B, and D cannot form triangles.
A. 8 + 7 = 15 < 16 No
B. 9 + 7 = 16 = 16 No
D. 11 + 5 = 16 < 17 No
C.
17 + 12 = 29 > 7
12 + 7 = 19 > 17
17 + 7 = 24 > 12
Yes
Answer:
The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons
Step-by-step explanation:
Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:
x + y = 45
The concentration of acid of the final solution is:
0.2*x + 0.1*y = 45*0.16
0.2*x + 0.1*y = 7.2
Therefore we have a system of equation:
x + y = 45
0.2*x + 0.1*y = 7.2
We need to multiply the first equation by -0.1:
-0.1*x -0.1*y = -4.5
0.2*x + 0.1*y = 7.2
We now sum both equation:
0.1*x = 2.7
x = 2.7/0.1 = 27 gallons
y = 45 - 27 = 18 gallons
Answer:
{3, 4, 5, 6, 7, 8, 9, 10, 11}
Step-by-step explanation:
Let integer be x
x > 2 and x < 12
gives
2 < x < 12
All such integers are {3, 4, 5, 6, 7, 8, 9, 10, 11}
Answer: The snack shop sells granola bars for a lower price.
Step-by-step explanation:
First you should plug in the number of bars for each equation, if you get one bar from the snack shop the price would be $1.25, I'm going to fill in the table to help you better understand.
y= 1.25(2) 2.50
y= 1.25(3) 3.75
y= 1.25(4) 5.00
y= 1.25(5) 6.25
This table was all for the snack shop.
