Answer:
6d + 10p = 118.50
2d + 2p = 27.50
drink = $4.75
Step-by-step explanation:
You can solve the system of equations above by using the elimination method. This method involves using positive and negative coefficients of one variable to eliminate it from the equation and solve for the remaining variable. Since you are going to be adding the systems together, you need to multiply one of the equations by a negative factor to eliminate one of the variables.
Multiply by a factor of '-3': -3(2d + 2p = 27.50) = -6d - 6p = -82.50
Add the system: 6d + 10p = 118.50
+ <u> -6d - 6p = -82.50</u>
4p = 36 or p = $9 for popcorn
Since we are solving for the cost of a drink, we can put in the value of $9 for the variable 'p' and solve for 'd':
2d + 2(9) = 27.50 or 2d + 18 = 27.50
Subtract 18 from both sides: 2d + 18 - 18 = 27.50 - 18 or 2d = 9.50
Divide and solve for 'd': 2d/2 = 9.50/2 or d = $4.75
Answer:
93.5
Step-by-step explanation:
Lets say, first number = x
Second number = 3x+7
Total = 49
(x)+(3x+7)= 49
4x+7 = 49
4x = 42
x = 42/4
x= 10.5
x= 10.5
3x+7 = 3(10.5)+7 = 93.5
Hope this helps!!
9514 1404 393
Answer:
- interior: 175°
- exterior: 5°
Step-by-step explanation:
The sum of exterior angles is 360°, so the exterior angle can be easiest to find first.
exterior angle = 360°/72 = 5°
The interior angle is the supplement of this.
interior angle = 180° -5° = 175°
The measure of one interior angle is 175°; one exterior angle is 5°.
The scale factor is 2. I looked at point I then I' and point I was at 2/3 and I' was at 4/6 and so
2/3*2 is 4/6.