Equations:
5.90c+ 9.70a= 1096.60
a + c = 144
There were 79 Children tickets sold,
and 65 adults tickets sold.
Your welcome!
Answer:
It is proportional
Step-by-step explanation:
To determine if its proportional/non-proportional is by using ratios
so go line by line
p pine and k oak
12 pine to 44 oak
18 pine to 66 oak
24 pine to 88 oak
30 pine to 110 oak
Start with the first line
p= pine per k= oak
so obviously not numbers but to help mind you it just means the numbers will be put as p/k (to make life simpler)
Or pine over oak
Second Line
12/44 which reduces down to 3/11
Third Line
18/66 which reduces down to 3/11
Fourth line
24/88 which reduces down to 3/11
Fifth line
30/110 which reduces down to 3/11
In order to be proportional the ratios all have to be equivalent to each other
Therefore,
3/11 = 3/11 = 3/11 = 3/11
So this is proportional
Answer:
the Answer For Part A:
The Company that offers the better deal is The Printing Press since if we do 0.15 * 200 + 50 = $80 versus Janet’s Print Shop that charges $85 in total as we can see by the problem 0.25 * 200 + 35 = $85
Step-by-step explanation:
<span>The problem is to calculate the angles of the triangle. However, it is not clear which angle you have to calculate, so we are going to calculate all of them
</span>
we know that
Applying the law of cosines
c²=a²+b²-2*a*b*cos C------> cos C=[a²+b²-c²]/[2*a*b]
a=12.5
b=15
c=11
so
cos C=[a²+b²-c²]/[2*a*b]---> cos C=[12.5²+15²-11²]/[2*12.5*15]
cos C=0.694------------> C=arc cos (0.694)-----> C=46.05°-----> C=46.1°
applying the law of sines calculate angle B
15 sin B=11/sin 46.1-----> 15*sin 46.1=11*sin B----> sin B=15*sin 46.1/11
sin B=15*sin 46.1/11-----> sin B=0.9826----> B=arc sin (0.9826)
B=79.3°
calculate angle A
A+B+C=180------> A=180-B-C-----> A=180-79.3-46.1----> A=54.6°
the angles of the triangle are
A=54.6°
B=79.3°
C=46.1°