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.
Answer:
3/8
Step-by-step explanation:
1/8+1/4=1/8+2/8=3/8
Answer:
The third side must be 10: {3, 10, 10}; {10, 3, 3} is not possible.
Step-by-step explanation:
Everything depends on our understanding of "isosceles."
This term indicates that two sides of a given triangle are equal.
If two sides of an isosceles triangle have lengths of 3 and 10, then:
Either 1) Two sides have length 10 and the third side has length 3. This is certainly possible
or
2) sides have length 3 and the third side has length 10. This is NOT possible, since 3 + 3 adds up to 6, which is less than 10.
Answer:
Step-by-step explanation:
5x-4=20
5x=24: x=24/5
y=3x-12
y=3(24/5)-12
y = (72-60)/5
y=12/5
Given that the team starts with a score of 0, after skipping 8 turns they would have 8 points deducted and thus end up with a score of -8. Now if they guess 6 answers correctly this would add 6 points to their score and so they would end up with -8 + 6 = -2 points.
