<span>105 minutes
"Stan and Hilda can mow the lawn in 35 min"
35 = 1/(S + H)
"Hilda works twice as fast as Stan"
H = 2S
"how long would it take Stan to mow the lawn alone?"
T = 1/S
First, let's determine what S is, so
35 = 1/(S + H)
Substitute 2S for H
35 = 1/(S + 2S)
Solve for S
35 = 1/(3S)
35(3S) = 1)
105S = 1
S = 1/105
Now solve T = 1/S with S = 1/105
T = 1/S
T = 1/(1/105)
T = 1/1 / 1/105
T = 1/1 * 105/1
T = 105
So it will take Stan 105 minutes to mow the lawn alone.</span>
Answer:
98
Step-by-step explanation:
Answer:
The equation of the new function is 
Step-by-step explanation:
Suppose we have a function f(x).
a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.
f(x - a) is shifting f(x) a units to the right.
f(x + a) is shifting f(x) a units to the left
In this question:
Vertically compressing by 1/2:
This is the same as multiplying the function by 1/2. So
The equation of the new function is
Answer:
mRS = 116
Step-by-step explanation:
If Segment SR ≅ TU then, arc SR ≅ arc TU
Thus, 6x - 28 = 4x + 20
^ ( note that this is the equation we will use to solve for x )
6x - 28 = 4x + 20
step 1 add 28 to each side
28 + -28 cancels out
28 + 20 = 48
we now have 6x = 4x + 48
step 2 subtract 4x from each side
6x - 4x = 2x
4x - 4x cancels out
we now have 2x = 48
step 3 divide each side by 2
2x / 2 = x
48 / 2 = 24
we're left with x = 24
Now to find the value of arc RS we substitute x with 24 in arc RS' given expression
arc RS = 6x - 28
* substitute x with 24 *
arc RS = 6(24) - 28
6 * 24 = 144
144 - 28 = 116
Hence, arc RS = 116
Answer:
12.13
Step-by-step explanation:
Please tell me if I'm correct!
