Nice so
remember
t=d/s
a(b+c)=ab+ac
time=distance/speed
lets say s=jamie's normal speed
speed agains wind=s-4
speed with wind=s+4
30 miles is agains wind
distance is 54 with wind
t=d/s
t=30/(s-4)
t=54/(s+4)
since they are both equal to t, set them equal to each other
30/(s-4)=54/(s+4)
multipliy both sides by (s+4)(s-4)
30(s+4)=54(s-4)
distribute
30s+120=54s-216
subtract 30s from both sides
120=24s-216
add 216 to both sides
336=24s
divide both sides by 24
14=s
answer is 14 miles per hour without wind
3(x-1)-8=4(1+x)+5
One solution was found :
x = -20
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*(x-1)-8-(4*(1+x)+5)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((3•(x-1))-8)-(4•(x+1)+5) = 0
Step 2 :
Equation at the end of step 2 :
(3 • (x - 1) - 8) - (4x + 9) = 0
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
-x - 20 = -1 • (x + 20)
Equation at the end of step 4 :
-x - 20 = 0
Step 5 :
Solving a Single Variable Equation :
5.1 Solve : -x-20 = 0
Add 20 to both sides of the equation :
-x = 20
Multiply both sides of the equation by (-1) : x = -20
One solution was found :
x = -20
hope this is wht u wanted
Answer:
x = 185.458 ft
Step-by-step explanation:
When we draw a picture, we are able to see that we need to use sin∅ to solve this problem:
sin15° = 48/x
xsin15° = 48
x = 48/sin14°
Answer:
The coordinates of P' are (4.8,-4.8).
Step-by-step explanation:
The rule of dilation
represent the dilation with scale factor 2.4 and center at origin.
If the scale factor of the dilation is k and the center is (0,0), then

Since the scale factor is 2.4, therefore

From the given figure it is noticed that the coordinates of P are (2,-2). The coordinates of P' are


Therefore the coordinates of P' are (4.8,-4.8).
The answer would be -17 because i know