The domain is [-2/3,infinity) U (infinity,-2/3]
Answer:
x = 50°
y = 50°
z = 80°
Step-by-step explanation:
working out x:
angles on a straight line add up to 180°
x + 130° = 180°
subtract 130 on both sides
x = 180° - 130°
x = 50°
working out y:
two vertical lines means that both sides are equal, so both angles are also equal (it's an isosceles triangle). This means that y is the same angle as x = 50°
y = 50°
working out z:
the sum of a triangle add up to 180°
add up the angles of x and y and equate to 180°
50 + 50 + z = 180
100 + z = 180
subtract 100 on both sides
z = 180 - 100
z = 80°
The formula for acceleration is (∆v)/(∆t), or (final velocity - initial velocity)/(final time - initial time). If you input your values the problem would work out as followed:
A = <span>(∆v)/(∆t)
A = (25-9)/(8-5)
A = 16/3
A = 21.33 (rounded to the nearest hundredth)</span>
Answer:
m=75
percentage= 32
part= 24
whole= 75
Step-by-step explanation:
To get m, you divide 18 by .24(since it's the decimal form of 24%) and you get 75.
The part/whole part I'm not exactly sure about but since it's 24% of 75, I'm guessing the part is 24 and the whole is 75 and that's the entire thing we are working with here.
To get the percentage, we use the 24/75 fraction. We have to get the demonator to 100 but since 75 can't be multiplied by anything to get to 100, we have to simplfy the fraction so the demonator can go into 100. I divided the fraction by 3 since that would get the fraction to 8/25. 25 can go into 100 if we multiply by 4 so that's what you do. The ending fraction would be 32/100 after multiplying the numerator and demonator by 4(8/24). So the percentage would be 32% or 32/100.
I have never done this is my life but it is similar to what I have done so please correct me if I am wrong. I hope this helped you and I am incredibly sorry if it is wrong.
Let x = Pacific Paradise
You can set up the equation like this:
x + (3x - 25) + (x + 18) = 928
(Combine like-terms)
5x - 7 = 928
(Add 7 to both sides)
5x = 935
(divide by 5 to both sides)
x = 187 (# of deluxe staterooms Pacific Paradise)
Next to find the # of deluxe staterooms of the other cruise ships create two equations
Let y = Carribean Paradise
x + 18 = y
(plug in the value of x which is 187)
187 + 18 = y
(combine like-terms)
205 = y (# of deluxe staterooms Carribean Paradise)
Let z = Mediterranean Paradise
3x - 25 = z
(plug in the value of x which is 187)
3(187) - 25 = z
(follow PEMDAS to simplify and combine like-terms)
536 = z (# of deluxe staterooms Mediterranean Paradise)
Finally check your answer by adding up all of your answers to make sure it equals 928
536 + 205 + 187 = ? (928!)
