Answer:
15+0.75x
Step-by-step explanation:
x=number of tickets
Answer:
-3
Step-by-step explanation:
p(x) = x^2-6x+5
Let x= 4
p(4) = 4^2-6(4)+5
Exponents first
= 16 -6(4) +5
Multiply
= 16 -24 +5
Add and subtract
= -8+5
= -3
Answer:
-2
Step-by-step explanation:
The slope of a line tells us how y responds to a change in x. If the slope is 2, it means that for every time x increases by 1, will will go up by 2.
We can calculate slope from a line, or with two given points. I used points (0,4) and (3,-2). Slope is the "Rise/Run."
The Rise: (-2 - 4) = -6
The Run: (3 - 0) = 3
Slope = Rise/Run = (-6/3) = -2
Answer:
Step-by-step explanation:
Given: △ABC, BC>AC, D∈ AC , CD=CB
To prove: m∠ABD is acute
Proof: In ΔABC, the angle opposite to side BC is ∠BAC and the angle opposite to side AC is ∠ABC.
Now, it is given that BC>AC, then ∠BAC>∠ABC.. (1)
In ΔBDC, using the exterior angle property,
∠ADB=∠DBC+∠BCD
∠ADB=∠DBC+∠BCA
⇒∠ADB>∠BAC (2)
From equation (1) and (2), we get
∠ADB>∠BAC
⇒∠ADB>∠ABC
⇒DB>AB
Hence, m∠ABD is acute
To get the answer, divide the receipts by 2 to get the total cost for adults and divide it again to get the total number of parents who attended
Cost for adults is $480.00
Number of adults is 240
Now, to get the children, subtract the total number of people by the number of adults.
620-240=380
Number of children is 380
