Answer:
Step-by-step explanation:
If Kevin walked his dog 1 2/7 miles and Sam walked his dog 7 times as far, then Sam walked his dog
Together they walked
Answer:
16 players can be brought to the tournament. The equation is written within my step-by-step explanation.
Step-by-step explanation:
Variable p = number of players
Set up an equation:
974.50 + 60.75p = 1946.50
Isolate variable p:
60.75p = 972
Divide:
p = 16
Check your work:
974.50 + 60.75(16) = 1946.50
974.50 + 972 = 1946.50
1946.50 = 1946.50
F(X) = 2x + 1
Replace f(x) with y:
Y = 2x+ 1
Switch variables:
X = 2y + 1
Solve for Y:
Subtract 1 from both sides:
X- 1 = 2y
Divide both sides by 2:
X-1 / 2 = y
Rewrite so y is in the left side:
Y = x-1 / 2
Replace y with f^-1(x):
F^-1(x) = x-1 / 2
This can also be written as x/2 - 1/2
Answer:
see explanation
Step-by-step explanation:
3x and 144 are adjacent angles on a straight line and sum to 180°
3x + 144 = 180 ( subtract 144 from both sides )
3x = 36 ← value of 3x
divide both sides by 3
x = 12
and
2y - 5 and 95 are vertically opposite angles and are congruent, so
2y - 5 = 95 ← value of 2y - 5
add 5 to both sides
2y = 100 ( divide both sides by 2 )
y = 50
Then
x + y = 12 + 50 = 62
Answer:
Step-by-step explanation:
Let x be the number of adult tickets and y be the number of children's tickets.
We are given that there are total 12 people. Therefore, we can set:
Moreover, we are given that an adult ticket costs $21.50 and a child's ticket costs $14.75, therefore, cost of x adult tickets will be 
and cost of y children's ticket will be 
. We can form the second equation by setting the total cost of tickets as:
Therefore, the required system of equations that could be used to find x and y will be:
