The additive inverse of a number is that number with its sign changed.
The additive inverse of 5/8 is -5/8, so that is the value of <em>m</em>.
The sum of a number and its additive inverse is <em>zero</em>. (This is actually the definition of <em>additive inverse</em>.)
5/8 is found at 5/8 on the number line.
m is found at -5/8 on the number line.
"sum" is found at 0 on the number line.
Answer:
21
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
The speed of the jet is 347 mph and the speed of the wind is 18 mph.
Step-by-step explanation:
We have the following:
x = the speed of the jet in still air.
y = the speed of the wind
we know that the speed is equal to:
v = d / t
therefore the distance would be:
d = v * t
if we replace with the information of the exercise we have:
3 * (x + y) = 1095
3 * (x - y) = 987
we must solve this system of equations, add both equations and we are left:
3 * x + 3 * y = 1095
3 * x - 3 * y = 987
3 * x + 3 * y + 3 * x - 3 * y = 1095 + 987
6 * x = 2082
x = 2082/6 = 347
now to calculate y, we replace:
3 * (347 + y) = 1095
1041 + 3 * y = 1095
3 * y = 1095 - 1041
y = 54/3 = 18
The speed of the jet is 347 mph and the speed of the wind is 18 mph.
