Answer:
123613575594
Step-by-step explanation:
Answer: The graph is shifted vertically, but not horizontally
Step-by-step explanation:
Since the added constant is outside the x term, the constant will only shift the graph vertically.
Answer:
113
Step-by-step explanation:
Let the number of adult tickets sold =a
Let the number of student tickets sold =s
A total of 259 tickets were sold, therefore:
a+s=259
Adult tickets were sold for $24 each and student tickets were sold for $16 each.
Total Revenue = $5,312
Therefore:
24a+16s=5,312
We solve the two derived equations simultaneously.
From the first equation
a=259-s
Substitute a=259-s into 24a+16s=5,312
24(259-s)+16s=5,312
6216-24s+16s=5,312
-8s=5,312-6216
-8s=-904
Divide both sides by -8
s=113
Therefore, 113 student tickets were sold.
Answer:
The length of AB is 7.45 units.
Step-by-step explanation:
You can find the length of AB using Cosine Rule, cosθ = adj./hypo. :
θ = 20°
adj. = 7 units
hypo. = AB
cos 20° = 7/AB
AB = 7/cos 20°
= 7.45 units (3s.f)
Answer:
There are 72 cal in 2/3 cup serving of noodle soup
Step-by-step explanation:
The given parameters are;
The amount of calories in 3/4 cup serving of chicken noodle soup = 81 cal
The amount of calories in a 2/3 cup serving is given as follows;
3/4 cup contains 81 cal
1 cup contains 81/(3/4) cal = 81 × 4/3 cal = 108 cal
1 cup contains 108 cal
2/3 cup contains = 2/3 × 1 cup = 2/3 × 108 cal = 72 cal
2/3 cup contains 72 cal
Therefore, there are 72 cal in 2/3 cup serving of noodle soup.
