If we let Q be the number of quarters and N be number of nickels, this is the formula we would use:
[1] 25Q + 5N = 635 (using cents instead of dollars)
We also know something about Q and N.
[2] Q + N = 51
So multiply both sides of the second equation by 5. The reason we do this is because we're going to need to cancel out one of the variables (either Q or N) to solve for the other one. If we multiply times 5, we'll have 5N in both equations.
5Q + 5N = 255
Now we have two equations, and the second one can be subtracted from the first.
25Q + 5N = 635
-(5Q + 5N) = -255
---------------------
20Q = 380
so
Q = 19
There are 19 quarters.
And since there are 51 coins in all, 51-19 = 32 nickels.
3) Altitude / Time = y2 - y1 / x2 - x1 = 30 - 60 / 6 - 3
m = -30 / 3
m = -10
In short, constant rate of change is y = -10x
b) Constant proportionality exists between two quantities, as the amount of changing in Altitude over fixed period of time is same (constant) for every instance.
4) Sales / Day = y2-y1 / x2-x1 = 2,000 - 1,000 / 6 - 3
m = 1000 / 3
m = 333.3
a) In short, Constant relationship is y = 333.3x
b) Constant proportionality exists between two quantities, as the amount of changing in Sales over fixed days is same (constant) for every instance.
Hope this helps!
Answer:
8700
Step-by-step explanation:
If it is 8,690 and you round to the nearest hundred it would add one to 90 making it 8,700
Yes same thing
love ya
~~~~~~~
Frankie❤
Answer:
<em>Jane traveled 8 miles farther then her trainer</em>
Step-by-step explanation:
<u>The Pythagora's Theorem</u>
In any right triangle, the square of the measure of the hypotenuse is the sum of the squares of the legs. This can be expressed with the formula:
Where
c = Hypotenuse or largest side
a,b = Legs or shorter sides
Jane's path from the Health Club to the end of her route describes two sides of a right triangle of lengths a=16 miles and b=12 miles.
Her total distance traveled is 16 + 12 = 28 miles
Her trainer goes directly from the Health Club to meet her through the hypotenuse of the triangle formed in the path.
We can calculate the length of his route as:
c = 20 miles
The difference between their traveled lengths is 28 - 20 = 8 miles
Jane traveled 8 miles farther then her trainer
