Answer:
7
Step-by-step explanation:
The sum of the measures of the angles inside a triangle is 180°. Therefore, we can create the equation (6x+5)+60+73=180.
Then we simplify:
1. combine like terms. (6x+5)+60+73=6x+5+60+73=6x+138
2. 6x+138=180, -138 to both sides of the equation. the equation becomes 6x=42.
3. /6 to both sides of the equation. we can reach the conclusion that x=7
Answer:
12 ounces
Step-by-step explanation:
If he drinks 3 ounces on 1/4 an hour, then all you have to do is multiply by 4
Answer: 19/12 pounds or 1.583 pounds
Step-by-step explanation:
Let a pound be represented by x. So x = 1 pound.
5/6 of a pound is the same as multiplying 5/6 × x. It becomes 5/6 × x = 5x/6
3/4 of a pound is the same as multiplying 3/4 × x. It becomes 3/4 × x = 3x/4
We want to look for 5/6 of a pound + 3/4 of a pound.
It becomes
5x/6 + 3x/4
Taking lowest common multiple(LCM) of 12, it becomes
= (2×5x + 3×3x) / 12
= (10x +9x)/12
= 19x /12
Substituting x = 1 pound,
It becomes 19/12 pounds
Expressing in decimal, 19/12 = 15.83
We can also solve from the beginning in terms of decimals
5/6 pounds = 0.833 pounds
3/4pounds = 0.75 pounds
5/6 pounds + 3/4 pounds = 0.833 + 0.75 = 1.583 pounds
vertex form of the equation for a parabola
y = a(x-h)^2 +k
y = a(x--3)^2 +2
y=a(x+3)^2 +2
Choice B
2 would be the lesser one
