Answer: The required system of equations representing the given situation is
![y=1+0.5x\\\\y=3+0.25x](https://tex.z-dn.net/?f=y%3D1%2B0.5x%5C%5C%5C%5Cy%3D3%2B0.25x)
Step-by-step explanation: Given that Sam needs to make a long-distance call from a pay phone.
We are to write a system to represent the situation.
Let x represent the number of minutes Sam talked on the phone and y represents the total amount that he paid for the call.
According to the given information,
with prepaid phone card, Sam will be charged $1.00 to connect and $0.50 per minute.
So, the equation representing this situation is
![y=1+0.5x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)](https://tex.z-dn.net/?f=y%3D1%2B0.5x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%28i%29)
Also, if Sam places a collect call with the operator he will be charged $3.00 to connect and $0.25 per minute.
So, the equation representing this situation is
![y=3+0.25x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)](https://tex.z-dn.net/?f=y%3D3%2B0.25x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%28ii%29)
Thus, the required system of equations representing the given situation is
![y=1+0.5x\\\\y=3+0.25x](https://tex.z-dn.net/?f=y%3D1%2B0.5x%5C%5C%5C%5Cy%3D3%2B0.25x)
Answer:
C: 25%
Step-by-step explanation:
1/4 of the jeans were not sewn properly, and 1/4 directly translates to 25%.
Convert 3 2/3 into an improper fraction (11/3), then do 6/1 - 11/3. Which is 18/3 - 11/3 = 7/3 = 2 1/3 oranges left
Answer:
132 km^2
Step-by-step explanation:
For this type of question, we’re looking for the surface area (SA) for the shape.
To do this, use the surface area (SA) formula
SA = 2lh + 2lw + 2hw where l = length w = width & h = height
But before we go ahead, this formula is only used for triangular shapes. So what we’re going to do is find the surface area and then split it in half.
SA = 2(8)(6) + 2(8)(6) + 2(6)(6) / 2
SA = (2(48) + 2(48) + 2(36)) / 2
SA = (96 + 96 + 72) / 2
SA = 264/2
SA = 132
The surface area is 132 km^2
Answer:
The surface area of the square pyramid if the slant height is 13mm and the base length is 11mm is 407 sq.mm.
Step-by-step explanation:
Slant height of square pyramid = l = 13 mm
Base length of square pyramid = b = 11 mm
Formula of surface area of square pyramid =![b^2+2bl](https://tex.z-dn.net/?f=b%5E2%2B2bl)
Substitute the values in the formula :
Surface area of square pyramid =![11^2+2(11)(13)](https://tex.z-dn.net/?f=11%5E2%2B2%2811%29%2813%29)
Surface area of square pyramid =407 sq.mm.
Hence the surface area of the square pyramid if the slant height is 13mm and the base length is 11mm is 407 sq.mm.