Answer:
7(2x +7)
Step-by-step explanation:
From 1-60, 4 and 6 a few common multiples. Find those multiples, which are
12, 24, 36, 48, 60.
So in 60 seconds, they blink together 5 times.
Answer:
A: The solution to this system is no viable because it results in fractional values of tickets
Step-by-step explanation:
Let number of adult, child, and senior tickets be x, y and z respectively.
Thus;
x + y + z = 12 - - - (eq 1)
she purchases 4 more child tickets than senior tickets.
Thus, y = z + 4
Thus:
x + (z + 4) + z = 12
x + 2z + 4 = 12
x + 2z = 8 - - - (eq 2)
Also, We are told that Adult tickets are $5 each, child tickets are $2 each, and senior tickets are $4 each. She spends a total of $38,
Thus;
5x + 2(z + 4) + 4z = 38
5x + 2z + 8 + 4z = 38
5x + 6z + 8 = 38
5x + 6z = 38 - 8
5x + 6z = 30
Divide through by 5 to get;
x + (6/5)z = 6 - - - (eq 3)
Subtract eq 2 from eq 1 to get;
2z - (6/5)z = 8 - 6
2z - (6/5)z = 2
Multiply through by 5 to get;
10z - 6z = 10
4z = 10
z = 2½
It's not possible to have a fractional value of a ticket and thus we can say that the solution is not viable.
For finding x:
We want to use tangent because tangent is opposite/adjacent
tan (30)= x/15
Multiply both sides of the equation by 15 to isolate x
Now we have, (15)(tan 30) = x
Simply plug the above equation into your calculator and you should get x=8.66
For y:
We know the angle opposite side y is= 90˚ (it is marked as a right angle)
We are going to use cosine because cosine is adjacent/hypotenuse
So, cos(90)= 15/y
Multiply by y
(y)(cos 90)=15
Now use simple algebra
cos (90) = 0
Y x 0 =15
y=15
Hope this helps. By the way, I am a little rusty on this topic so I am not 100% sure that this is right (I'm 98% sure).
2z−31=−9z+24
Add 9z to both sides.
2z−31+9z=−9z+24+9z
11z−31=24
Add 31 to both sides.
11z−31+31=24+31
11z=55
Divide both sides by 11.
11z/11=55/11
z=5
