You can set this up as an algebraic equation using the ratio:
=
where x = number of skiers
Cross multiply:
x + 1250 = 2x
Solve for x:
-x = -1250
x=1250
To find the number of snowboarders, add 1250.
1250 + 1250 = 2500
1250 skiers and 2500 snowboarders bought season passes.
Answer:
y = 6
Step-by-step explanation:
If x varies inversely proportional as y.
, k is constant of proportionality
or
k = xy
When x = 3 and y = 10
k = 3×10
k = 30
Put x = 5,
So, the value of y is 6 when x is 5.
Answer:
x = -4
Step-by-step explanation:
Distribute:
-2(x + 5) = -2
-2(x) -2(5) = -2
Multiply:
-2(x) -2(5) = -2
-2x - 10 = -2
Add 10 on both sides:
-2x - 10 = -2
+10 +10
-2x = 8
Divide by -2 on both sides:
-2x = 8
/-2 /-2
x = -4
Answer:
Step-by-step explanation:
<u>Given:</u>
<u>Inscribed angle measure is half the intercepted arc:</u>
<u>The angle between the diameter and tangent is right angle:</u>
<u>According to angle addition postulate:</u>
- m∠YAC = m∠BAC - m∠BAY
- m∠YAC = 90° - 26° = 64°
Correct choice is B
Answer:
A. 49
Step-by-step explanation:
The average rate of change for the interval ranging from x = 3 to x = 5 for the given function represented in the table above can be calculated using:
x2 = 5
x1 = 3
f(x2) = f(5) = 125
f(x1) = f(3) = 27
Thus,
Average rate of change = 49
Average rate of change of the given table values representing an exponential function is A. 49.
