The fractions which cannbe formed are: 2/3, 3/2, 2/5, 5/2, 3/5 and 5/3.
Now, we find the products with the third number:
2/3*5= 10/3 = 3.33 > 2
3/2*5 = 15 >2= 7.5 > 2
2/5*3= 6/5 (rejected)
5/2*3 = 15/2 > 2
3/5*2= 6/5 (rejected)
5/3*2 = 15/2 = 7.5> 2
Answer:
b and c
Step-by-step explanation:
The Triangle Inequality Theorem lets us know that the sum of the two shortest sides of the triangle must be greater than the third side of the triangle.
In both A and D, the sum of the shortest two sides are equal to, not greater than the third side, so they will not form a triangle.
In B, 12+20 is 32, which is greater than 25. And in C, 18+24 is 42, which is greater than 30, so they both will form a triangle.
Answer:
1. 8x + 2y = 16
Step-by-step explanation:
3x - 12y = 10
12y = 3x - 10
y = 1/4 x - 5/6 .... slope: 1/4
perpendicular line slope: -4
8x + 2y= 16
2y = -8x + 16
y = -4x + 8 .... slope: -4
Answer: 136 ounces
Step-by-step explanation:
Given: The ratio of cranberries and raspberries is 8:9 .
Let quantity of cranberries= 8x , quantity of raspberries = 9x
If quantity of cranberries = 64 ounces
Quantity of raspberries = 9(8) = 72 ounces
Total quantity = 64 ounces + 72 ounces = 136 ounces
Hence, the total weight of berries purchased= 136 ounces
2 to the 30 power is <span>1073741824</span>
