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:
x = 7
Step-by-step explanation:
There is a total of 180 degrees in a triangle. To solve you add the other angles and set = to 180 then solve for x
180 = 33 + 90 + 7x +8
172 = 33 + 90 + 7x
139 = 90 +7x
49 = 7x
7 = x
Answer: Both A, and C
Step-by-step explanation:
The answer to the first system of equations (2x+2y=16) would be
x=3 and y=5 ( 3x-y=4 )
Which means we have to find out which of the other equations has an x value of 3, and a y value of 5.
If A is 2x+2y=16, then x=3 and y=5
6x-2y=8
If B is x+y=16, then x=5 and y=11
3x-y=4
If C is 2x+2y=16, then x=3 and y=5
6x-2y=8
If D is 6x+6y=48 , then x=-2 and y=10
6x+2y=8
Both A and C are equal to the first system of equations, which means they are both correct answers.
Answer:
Pyramids are triangular in shape with a sided shape, whereas cones have circular bases that merely adjoin at a point.
Step-by-step explanation:
The distance traveled by the light in 2 hours is 2.16×10⁹ km.
<h3 /><h3>Distance:</h3>
This is the total length of space between two points covered by an object. Distance has no regard for direction as it is termed a scalar quantity. The S.I unit of distance is meter(m).
To calculate the distance traveled by the light in 2 hours, first, we need to calculate the speed of the light.
Formula:
- S = d/t................. equation 1
Where:
- S = speed
- d = distance travelled
From the question,
Given:
- d = 1.08×10⁹ km
- t = 1 hour
Therefore,
The distance traveled in 2 hours is
- d = 2×1.08×10⁹
- d = 2.16×10⁹ km
Hence, the distance traveled by the light in 2 hours is 2.16×10⁹ km
Learn more about distance here: brainly.com/question/23848540