75 percent = 24
25 percent = 8
100 percent = 32
Therefore there are 32 students in 6th grade
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!)
Answer:
4√3 feet
Step-by-step explanation:
Here, a ladder is resting against a house makes a 60° with the ground,
Consider x be the distance of the top of ladder from the foot of house and y be the distance of bottom of ladder from the house. ( shown in the below diagram )
Using trigonometric ratio,
We have, length of ladder = 8 ft,
Hence, the house would reach 4√3 feet up.
So, We Have Two Problems To Solve:
(-3)÷((-1/3) ÷ (8-4)) ÷ (-12/5)
And
(-1/3)*2÷(7/3 * (-1))÷(-6/5)
So, Lets Do The First One:
We Know That We Need To Use Order Of Operations.
We Need To First Do:
8-4.
8 - 4 = 4.
So, We Have Now:
<span>(-3)÷((-1/3) ÷ 4) ÷ (-12/5)
</span>So, We Need To Now Convert 4 To An Improper Fraction.
This Becomes 4/1.
Now, We Can Divide (-1/3) By 4.
Dividing Is The Same As Multiplying By The Reciprocal.
So:
-1 1 -1
--- * --- = ---
3 4 12
So, We Now Have:
<span>(-3)÷ (-1/12) ÷ (-12/5)
</span>So:
3 12 36
--- * --- = --- = -36
1 -1 -1
So, We Now Have:
<span>-36 ÷ (-12/5)
So:
-36 -5 -180
----- * ---- = ------
1 12 12
So, We Now Only Have Left to Divide:
-180 </span><span>÷ 12 = -15.
</span>
<span>So, The Value Of The First Question Is -15.
</span>
Now For Number Two:
<span>(-1/3)*2÷(7/3 * (-1))÷(-6/5)
</span>
So, We Use Order Of Operations.
7/3 * (-1) = -7/3
Next:
<span>(-1/3)*2÷(-7/3)÷(-6/5)
</span>
Now, We Must Do:
-1/3 * 2.
(-1/3) * 2 = (-2/3)
So, Now We Have:
<span>(-2/3) ÷ (-7/3) ÷ (-6/5)
</span>Now, Begin Division.
-2 3 -6 6
--- * --- = ---- = ----
3 -7 -21 21
So:
<span>6/21 ÷(-6/5)
</span>
Do The Final Division:
6 5 30
--- * --- = ----
21 -6 -126
Simplify:
30 ÷ 6 5
------ = -----
-126 ÷ 6 -21
So, Number Two Has A Value Of 5/-21.