Answer:
Number of quarters → 15
Number of dimes → 2
Step-by-step explanation:
Let the number of dimes I have = y
And number of quarters = x
Since, I have amount in my pocket = $2
Therefore, 0.10y + 0.25x = 2
100(0.10y + 0.25x) = 100×2
25x + 10y = 200
5x + 2y = 40
2y = -5x + 40
y = -2.5x + 20 ---------(1)
Total number of coins in my pocket = 17
x + y = 17
y = -x + 17 ---------(2)
By using a graphing calculator we can graph these two lines (As attached)
Solution of the given system of equations will be the point of intersection of these lines.
Solution → (2, 15)
Number of quarters → 15
Number of dimes → 2
Answer:
pretty sure its C, good luck
A translation of 2 units up will increase the y coordinate by 2 units and a translation by 5 units to the left will decrease the x coordinate by 5. Hence after these translations point (2,2) becomes
<span>(2 - 5 , 2 + 2) = (-3,4) </span>
When point (-3,4) is reflected in the x axis, its y coordinate changes sign and point (-3 ,4) becomes
<span>(-3,-4)</span>
Answer:
2
-4
0
Step-by-step explanation:
Just did it
The base is x.
The height is 5 feet more than the base, so it's x+5.
The area of a parallelogram is the product of its base and its height. The area is 204 square feet.

The length of the base of a parallelogram must be a positive number, so x=12.

The base is 12 feet long, the height is 17 feet long.