Answer:
the answer may be this: 8 √3
Step-by-step explanation:
well, the first solution that comes to my mind is :
8/4 + 5/1 = 7/1
2 + 5 = 7
the reason : the only numerator I can "cut" into integer pieces is 8.
5 and 7 are prime numbers.
so, it tried to keep 5 and 7 whole, and then add a part of 8 to make this equation true. and that worked right away.
I’m not sure what that meant.
<span>Complete the following direct proof.
1) Triangles are the only polygons with three sides.
2) The polygon has three sides.
3) Thus, triangles are polygons.
</span>
Answer: The cost of each pound of jellybean is $2.5
The cost for each pound of trail mix is $1.5
Step-by-step explanation:
Let the cost for each pound of jellybeans be x.
Let the cost of each pound of trail mix be y.
Based on the information given, we can form an equation which will be:
For 2 pounds of jellybeans and 12 pounds of trail mix, the total cost is $23. This will be:
2x + 12y = 23 ...... i
For 5 pounds of jellybeans and 3 pounds of trail mix, the total cost is $17. This will be:
5x + 3y = 17...... ii
2x + 12y = 23 ...... i
5x + 3y = 17...... ii
Multiply equation i by 5
Multiply equation ii by 2
10x + 60y = 115 ...... iii
10x + 6y = 34 ..... iv
Subtract iv from iii
54y = 81
y = 81/54
y = 1.5
The cost for each pound of trail mix is $1.5
From equation i
2x + 12y = 23
2x + 12(1.5) = 23
2x + 18 = 23
2x = 23 - 18
2x = 5
x = 5/2 = 2.5
The cost of each pound of jellybean is $2.5