Answer:
We took $ 24 to the movies.
Step-by-step explanation:
Let total money be
On movies = Half of the money =
On popcorn = 
on candy = $2
On soda = $3
total money spent =
+
+ 2+3+1
x =
+
+ 2+3+1
x-
-
= 6
-
-
=6

Answer:
2x-4+3x+2=48
5x-2=48
5x=48+2
5x=50
x=10
Step-by-step explanation:
this
Answer:
The amount of water need to be added is 5 liters.
Step-by-step explanation:
Let's "x" be amount of water in (liters) added to 15 liters of 40% of sugar syrup.
Now find the amount of sugar syrup = 40% of 15
= 0.4 × 15
The amount of sugar syrup = 6 Liters
To dilute 30% we need to find amount of water to be added.
So,
30% of (15 + x) = 6
0.3 × (15 + x) = 6
4.5 + 0.3x = 6
0.3x = 6 - 4.5
0.3x = 1.5
Dividing both sides, by 0.3, we get
x = 5
So, the amount of water need to be added is 5 liters.
Answer:
|x-3|-5
Step-by-step explanation:
f(x) = |x|
These lines are lines of absolute value equations. g(x) is shifted 3 units left so we subtract 3 from within the bars, and shifted down 5 units so we subtract 5 from the absolute value which leaves us with |x-3|-5
Answer:
n(U)=200
n(M)=140
n(S)=120
n(MuS)complement=40
n(MuS)=n(U)-n(MuS)complement
=200-40
=160
n(MnS)=n(M)+n(S)-n(MuS)
=140+120-160
=260-160
=100