1.) Set up an equation
50+80h=310 h stands for hours
-50 - 50
80h= 260
divide 80 to both sides
h=3.25
The mechanic works for 3 hours and 25 minutes
Answer:
Cost of a play station game = $11.3
Cost of each water ride = $22.6
Step-by-step explanation:
Entrance tickets = $89.97
Royal meal = $10.85
Cost of a play station game = x
Cost of each water ride = 2x
Find the cost of a water ride
Entrance tickets = Royal meal + 1 play station game + 3 water rides
89.97 = 10.85 + 1(x) + 3(2x)
89.97 = 10.85 + x + 6x
89.97 = 10.85 + 7x
89.97 - 10.85 = 7x
79.12 = 7x
x = 79.12/7
x = 11.302857142857
Approximately to the nearest tenth
x = $11.3
Cost of a play station game = x = $11.3
Cost of each water ride = 2x
= 2(11.3)
= $22.6
9514 1404 393
Answer:
one solution (11, 4)
Step-by-step explanation:
Both equations describe curves with positive slope. The y-intercept of the line (-7) is less than that of the root function (-2), so the line must intersect the root function in exactly one place. There is one solution.
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Solved in the conventional way, the equation would become a quadratic, with two solutions. One of them is extraneous. (That is why I prefer a graphical solution.)
Given ...
x -y = 7
y = √(3x +3) -2
We can substitute for y to get ...
x -7 = √(3x +3) -2
x -5 = √(3x +3)
x^2 -10x +25 = 3x +3 . . . . . . square both sides
x^2 -13x +22 = 0 = (x -11)(x -2) . . . . . gives solutions x=11, x=2
The value x=2 does not satisfy the equation ...
x -7 = √(3x +3) -2 ⇒ 2 -7 = √(3·2 +3) -2 ⇒ -5 = 1 (false)
Answer:
Team's rowing speed in still water: 11.8 miles per hour.
Speed of the current: 3.4 miles per hour.
Step-by-step explanation:
Let r represent team's rowing speed in still water and speed of current be c.
Rowing speed with current would be and rowing speed against current would be .
We have been given that a rowing team rowed an average of 15.2 miles per hour with the current. We can represent this information in an equation as:
We are also told that rowing team rowed an average of 8.4 miles per hour against the current. We can represent this information in an equation as:
Upon adding equation (1) and (2), we will get:
Therefore, teams's rowing speed in still water was 11.8 miles per hour.
Upon substituting in equation (1), we will get:
Therefore, speed of the current was 3.4 miles per hour.
Answer:
a = 22.5
Step-by-step explanation:
1.7a+0.3a=45
Add like terms
2a = 45
Divide by 2
2a/2 = 45/2
a = 22.5