Answer:
Step-by-step explanation:
Simplifying
7x + -10x + 18 + 2x = -5
Reorder the terms:
18 + 7x + -10x + 2x = -5
Combine like terms: 7x + -10x = -3x
18 + -3x + 2x = -5
Combine like terms: -3x + 2x = -1x
18 + -1x = -5
Solving
18 + -1x = -5
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-18' to each side of the equation.
18 + -18 + -1x = -5 + -18
Combine like terms: 18 + -18 = 0
0 + -1x = -5 + -18
-1x = -5 + -18
Combine like terms: -5 + -18 = -23
-1x = -23
Divide each side by '-1'.
x = 23
Simplifying
x = 23
Answer:
0.97
Step-by-step explanation:
Given that a homeowner has two smoke detector alarms installed, one in the dining room (adjacent to the kitchen) and one in an upstairs bedroom (above the kitchen). If cooking produces smoke in the kitchen, the probability of setting off the dining room alarm (D) is .95. The probability of setting off the bedroom alarm (B) is .40.
Both alarms are independent of each other.
Probability for smoke detection=P(any one alarm rings)
=P(Kitchen alarm sets off)+P(bed room alarm sets off)-P(Both sets off)
Since both are independent
P(Both) =
Probability for smoke detection
= 0.95+0.40-0.38
=0.97
Answer:24sq.ft.
Step-by-step explanation: v=6*2*2
6×2=12
12×2=24sq.ft.