Answer:20mph
Step-by-step explanation:
speed of plane = x mph
Speed of plane with wind = 485 mph
So therefore, speed of wind =
485 - x
Speed of plane against wind = 445 mph
So therefore, speed of wind =
x - 445
So therefore, equating the 2 equations of speed of wind
485 - x = x - 445
Collect like terms
485 + 445 = x + x
930 = 2x
2x = 930
x = 930/2 = 465 mph
Speed of wind = x = 465mph
So we put this value on any of the equations for speed of wind
Speed of wind = x - 445 = 465 - 445
= 20 mph
So therefore, speed of wind = 20mph
Answer:
y=-17
Step-by-step explanation:
y=mx
20.4=m×6
20.4÷6=m
3.4=m
y=3.4×-5
y=-17
actually none of them since 212 is the biggest number and should be at the end but none of the answers say so
Answer:
y < 5
Step-by-step explanation:
Given
y + 1 < 6 ( isolate y on the left side by subtracting 1 from both sides )
y < 5
We need to use the variables m and n to represent both numbers.
Their sum must equal -15. Therefore, we can write the next equation:
m + n = -15
If one number is five less than the other, we need to choose one variable and then we can write it in terms of the other variable. Then:
n = m-5
To find the value for each number, we can replace the n equation on the first equation:
m + n = -15
m + (m-5)= -15
Then:
m + m - 5 = -15
2m -5 = -15
Solve the equation for m:
Add both sides 5 units:
2m - 5 +5 = -15+5
2m = -10
Divide both sides by 2:
2m/2 = -10/2
m = -5
Finally, replace the m value on the first equation:
m + n = -15
-5 + n = -15
Then, solve the equation for n:
Add both sides by 5:
-5+5 + n = -15 +5
n = -10
Hence, both numbers are m=-5 and n= -10.
The equations separated by a comma are m + n = -15,n = m-5.
The numbers separated by a comma are -5,-10.
