Answer:
s = 10k + 30
Step-by-step explanation:
Cost of Adults ticket = $10 per adult
Cost of Ticket = $6 per child
Number of adults = k
Number of Children = 5
s = Total cost
Total cost = (Cost per adult * number of adults) + (Cost per child * Number of children)
s = ($10 * k) + ($6 * 5)
s = $10k + $30
s = 10k + 30
Step-by-step explanation:
Use formula to find the slope/gradient

(-5, -1) = (x1, y1)
(5, 11) = (x2, y2)
So,

Answer:
x=20
The side lengths form a 345 triple
Step-by-step explanation:
345 triangles have 3, 4, and 5 as their lengths
If we divide all of them by 4 we get..
12/4=3 and 16/4=4 that means we are missing 5
5*4=20
Answer:
a
Step-by-step explanation:
∆PQR and ∆SQT are similar, so corresponding sides occur in fixed ratios with one another. This means
SQ / PQ = ST / PR
Solve for x :
8 / ((x + 5) + 8) = (x - 9) / 21
8 / (x + 13) = (x - 9) / 21
168 = (x - 9) (x + 13)
168 = x² + 4x - 117
x² + 4x - 285 = 0
(x + 19) (x - 15) = 0
⇒ x = -19 or x = 15
But x can't be smaller than 9, otherwise ST = x - 9 would be a negative length. So x = 15.