Answer: 61 children attended the musical last night.
Step-by-step explanation:
Let x represent the number of children that attended the musical last night.
Let y represent the number of adults that attended the musical last night.
The musical charges $3.50 for children's tickets and $5.00 for adults tickets. If the tickets sales totaled $823.50. It means that
3.5x + 5y = 823.5- - - - - - - - - - 1
Last night, twice as many adults attended the musical than children. It means that
y = 2x
Substituting y = 2x into equation 1, it becomes
3.5x + 5 × 2x = 823.5
3.5x + 10x = 823.5
13.5x = 823.5
x = 823.5/13.5
x = 61
y = 2x = 2 × 61
y = 122
Answer:
Angle A = 32
Angle B = 96
Angle C = 52
Step-by-step explanation:
180 - 52 = 128
128 / 4 = 32
Angle A = 32
Angle B = 3 x 32 = 96
Angle C = 52
Check:
32 + (3 x 32) + 52 = 180
Answer:
The equation that will determine the cost of two folders is; 3x = 2× $2.91
and the cost of the 2 folders is $1.94
Step-by-step explanation:
To solve this problem, we will follow the steps below;
Using proportion;
Let x be the cost of 2 folders
3 folders = $2.91
2 folders = x
Cross-multiply
3x = 2× $2.91
The equation that will determine the cost of two folders is
3x = 2× $2.91
We can go ahead and solve
3x = $5.82
Divide both-side of the equation by 3
= 
x = $ 1.94
The cost of 2 folders is $1.94
Answer:
In math, value can either refer to the result of a calculation or a variable or constant
1/2bh
1/2b4 = 18
b4= 36
b= 9 yards