Put 4 months over 12 months. Reduce to 1/3.
i=prt
i=300(0.9)(1/3)
i=$90
Answer:
1. <AOB and <XOZ are vert. <'s 1. Given
m<AOB = 80 m<XOZ = 6x+5
2. m<AOB = m<XOZ 2. Vertical <'s are congruent
3. 80 = 6x+5 3. Substitution
4. 75 = 6x 4. Subtraction Property of equality
5. 12.5 = x 5. Division Property of equality
Step-by-step explanation:
Step-by-step explanation:
let 3 sides be a b c
a-b<c<a+b (always)
we have 7+5 =12 (contradict the above property)
-> 12,7,5 will not make a triangle
Answer:
1 and 9
Step-by-step explanation:
By the Triangle Inequality Theorem, the sum of two side lengths of a triangle is always greater than the length of the third side.
In other words, in a triangle with side lengths
and
we always have 
Applying this to this question, the other side length,
must satisfy the following inequalities:

Solving these inequalities gives

Combining these solutions, we have
Therefore, the length of the third side falls between 1 and 9.
Hi,
Let's say we need x mg from 1st compound, and y mg from 2nd compound.
0.20 × x + 0.40 × y = 40mg
0.30 × x + 0.20 × y = 30mg
0.20(x + 2y) = 40. => x + 2y = 200 => 2y=200-x
0.10(3x +2y) = 30. => 3x + 2y = 300
3x + (200 - x) = 300
2x = 100
x =50mg
50 + 2y = 200
2y = 150
y =75mg