Answer:
x=25 y=5
Step-by-step explanation: the c value is moving at a constant of 25 while the y value is moving at a constant of 5
Answer:
(2)
Step-by-step explanation:
Our logarithmic expression is: 
.
Remember the logarithmic property that ln(a/b) = lna - lnb. So, we can write this as:
Also, we can write square roots as powers of one-half, so √e = 
. There's another log property that: 
. We can apply that here for both the √e and the y³:
Finally, note that ln(e) is just 1, so we have:
The answer is thus (2).
<em>~ an aesthetics lover</em>
Answer:
65 degrees
Step-by-step explanation:
85 + 30 = 115
180 - 115 = 65
Verify:
a + b + c = 180
85 + 30 + 65 = 180
180 = 180
Answer: Jordan worked for 10 hours and Sydney worked for 6 hours.
Step-by-step explanation:
Let x represent the number of hours
that Jordan worked.
Let x represent the number of hours that Sydney worked.
Jordan can iron 20 shirts per hour, and Sydney can iron 25 shirts per hour. They ironed 350 shirts between them. It means that
20x + 25y = 350- - - - - - - - - - - 1
Jordan worked 4 more hours than Sydney. It means that
x = y + 4
Substituting x = y + 4 into equation 1, it becomes
20(y + 4) + 25y = 350
20y + 80 + 25y = 350
20y + 25y = 350 - 80
45y = 270
y = 270/45
y = 6
x = y + 4 = 6 + 4
x = 10
Leg CB = x and leg DE = y - 1. Becuase of the markings on the triangles, we know that CB = DE; therefore, x = y - 1. So let's use that x value when we set the 2 hypotenuses equal to each other. Before any substition, 3x - 2 = 2y + 1. Subbing in for x we have 3(y - 1) - 2 = 2y + 1. And 3y - 3 - 2 = 2y + 1. Combining like terms we have y = 6. If y = 6, we will sub it into the leg equation to find x. x = y - 1; therefore, x = 6 - 1 and x = 5. There you go! x = 5 and y = 6
