Answer:
3/8
Step-by-step explanation:
Let's first start by figuring out all the factors of 30.
They are as follows: 1, 2, 3, 5, 6, 10, 15, 30
30 has 8 factors in total.
3 of the factors have 2 digits.
Probability is number of desired outcomes/number of total outcomes.
We have 3 desired outcomes and 8 total outcomes.
Therefore, the probability that the factor chosen at random will have 2 digits is 3/8.
It would be $480. If it was sold at $120 and was reduced by 1/4, you would multiply 120 by 4, giving you 480.
51 - 10 √2
Simplify to
41 √2
Step-by-step explanation:
step 1. break up the shape into 2 triangles and one rectangle
step 2. A = area of triangle 1 (t1) + area of triangle 2 (t2) + area of the rectangle (r)
step 3. t1 = (1/2)bh where b is the base and h is the height. definition of the area of a triangle.
step 4. t1 = (1/2)(3)(2) = 3ft^2.
step 5. t2 = (1/2)(3)(3) = 4.5ft^2.
step 6. r = bh where b is the base and h is the height. definition of the area of a rectangle.
step 7. r = bh = (8)(4) = 32ft^2.
step 8. A = t1 + t2 + r = 3 + 4.5 + 32 = 39.5ft^2.
Answer: X=3
Work: 12=2x+6 -2x+6 -2x=-6 x=3