I hope this is correct
Simplifying (2x + -1)(x + -3) = 18 Reorder the terms: (-1 + 2x)(x + -3) = 18 Reorder the terms: (-1 + 2x)(-3 + x) = 18 Multiply (-1 + 2x) * (-3 + x) (-1(-3 + x) + 2x * (-3 + x)) = 18 ((-3 * -1 + x * -1) + 2x * (-3 + x)) = 18 ((3 + -1x) + 2x * (-3 + x)) = 18 (3 + -1x + (-3 * 2x + x * 2x)) = 18 (3 + -1x + (-6x + 2x2)) = 18 Combine like terms: -1x + -6x = -7x (3 + -7x + 2x2) = 18 Solving 3 + -7x + 2x2 = 18 Solving for variable 'x'. Reorder the terms: 3 + -18 + -7x + 2x2 = 18 + -18 Combine like terms: 3 + -18 = -15 -15 + -7x + 2x2 = 18 + -18 Combine like terms: 18 + -18 = 0 -15 + -7x + 2x2 = 0 Factor a trinomial. (-3 + -2x)(5 + -1x) = 0
Given:
8:03 = 188 empty seats
8:10 = 160 empty seat
188 - 160 = 28 empty seats
8:10 - 8:03 = 0:07 minutes
28 / 7 minutes = 4 empty seats per minute
8:00 - 8:03 = 3 minutes
3 minutes * 4 seats per minute = 12 seats
188 + 12 = 200 empty seats at 8:00
8:15 - 8:10 = 0:05 minutes
5 minutes * 4 seats per minute = 20 empty seats
160 - 20 = 140 empty seats at 8:15
200 - 120 = 80 empty seats
80 empty seats / 4 empty seats per minute = 20 minutes
120 empty seats at 8:20.
8:00 = 200 empty seats
200 / 4 = 50 minutes
8:00 + 0:50 = 8:50 is the time when there are no empty seats left.
Answer:
3/10
Step-by-step explanation:
mom = 35 when girl is born
girl = 0 when born
after 15 year
mom = 35 + 15 = 50
girl = 0 + 15 = 15
fraction = girl / mom = 15/50 = 3/10
Answer:
25
Step-by-step explanation:
since the angle in question is across from angle 70, they are congruent. You set up the equation
70=20+2p
50=2p
25=p
Answer:
distance of diver 1 from the shark ≈ 18.88 m
Step-by-step explanation:
The illustration forms a triangle. The base of the triangle which is their distance apart is given as 30 m . The known angle of the triangle are 52° and 39°. To find the unknown side we subtract the sum of 52° and 39° from 180°. Note that the total angle in a triangle is 180°.
Therefore,
180 - (52 + 39) = 180 - 91 = 89
°. Now the three angle of the triangles are 52°, 39° and 89°.
Using the law of sine we can find the distance of the diver 1 from the shark.
let a = distance of the first diver to the shark.
a/sin 39° = 30/sin 89°
cross multiply
a sin 89° = 30 sin 39°
divide both sides by sin 89°
a = 30 sin 39°/sin 89°
a = 30 × 0.62932039105
/sin 89°
a = 18.8796117315
/0.99984769515
a = 18.8824876258
a ≈ 18.88 m
