The number of adult tickets and children tickets sold were 92 and 220 respectively
What differentiate adult tickets from children's
The adult tickets can be represented by a while children's ticket is c
The total number of tickets sold which is 312 means the sum of a and c
a+c=312
Total value of adult tickets=a*12
total value of children tickets=c*5
12a+5c=2204
Solve for a in the first equation
a=312-c
substitute for a in the second equation
12a+5c=2204
12(312-c)+5c=2204
3744-12c+5c=2203
3744-2203=12c-5c
1541=7c
c=1541/7
c=220
a=312-220
a=92
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Answer:
P = 57°
Step-by-step explanation:
Given the following :
PQ = 17
QR = 15
PR = 14
Using the cosine formula since the length of the three sides are given:
a2 = b2 + c2 – 2bccos(A)
To find P:
QR^2 = PQ^2 + PR^2 – 2(PQ)(PR)cos(P)
15^2 = 17^2 + 14^2 – 2(17)(14)cos(P)
225 = 289 + 196 - 476 cosP
476*CosP = 485 - 225
476*CosP = 260
CosP = 260/476
CosP = 0.5462184
P = Cos^-1(0.5462184)
P = 56.892029
P = 57°
Answer:
Probability of both even is 12×12=14. Given they are both even there are 3 possible even numbers: 2,4,6.
Step-by-step explanation:
Step-by-step explanation:
1. making the equation:
shoes = x
shirts = y
175 = x + 3y
x = 4y
2. graph it (I'm using desmos)
the green line is for 175 = x + 3y and the purple one is for x = 4y
3. find the price
x = 4y
175 = 4y + 3y
175 = 7y
y = 175/7 = $25
price of the shirt = $25
x = 4y = 4*25 = $100
price of a pair of shoes = $100
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➷ Substitute in the value:
840 - 52.5(14) = 105
Since e(14) = 105, the elevation of the cable car would be 105 meters from the ground 14 minutes after it begins descending from the top of the hill
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