Answer:
x=-6
Step-by-step explanation:
Follow along:
1. Distribute the -3 to those within the parenthesis.
-3x-6=12
2. Move the whole numbers to one sides, isolate the variable.
-3x=18
3. Divide both sides by -3
x=-6
9514 1404 393
Answer:
Step-by-step explanation:
Let x and y represent the weights of the large and small boxes, respectively. The problem statement gives rise to the system of equations ...
x + y = 85 . . . . . combined weight of a large and small box
70x +50y = 5350 . . . . combined weight of 70 large and 50 small boxes
We can subtract 50 times the first equation from the second to find the weight of a large box.
(70x +50y) -50(x +y) = (5350) -50(85)
20x = 1100 . . . . simplify
x = 55 . . . . . . . divide by 20
Using this in the first equation, we can find the weight of a small box.
55 +y = 85
y = 30 . . . . . . . subtract 55
A large box weighs 55 pounds; a small box weighs 30 pounds.
Answer:
10
Step-by-step explanation:
Tₙ=n+5
T₅=5+5=10
Answer:
Step-by-step explanation:
The probability that the point is chosen in the circle is equal to the area of the circle divided by the area of the square.
Formulas used:
- Area of a square with side length
is given by 
- Area of a circle with radius
is given by 
The segment marked as 1 represents not only the radius of the circle, but also half the side length of the square. Therefore, the side length of the square is 2, and we have:
Area of square: 
Area of circle:
Therefore, the probability that the point will be inside the circle is:
-8t+6+6t=5t-2
-2t+6=5t-2
-2t-5t=-2-6
-7t=-8
-7 -7
T=1.14 or 1 1/7
