Answer:
The number of friends that went out for dinner is 8
And their bill is $238
Step-by-step explanation:
Let's assume that the number of friends that went out for dinner to be x
And the bill for the dinner to be y
If each person contributed $32 and paid off the bill,they will have a balance of $18
32x - 18 = y_____equation 1
If each person contributed $35 and paid off the bill and also 15% tip,they will have a balance of $6.30
35x - 6.3 = y + (15% of y)
35x - 6.3 = y + (3y/20)
Open up the bracket
35x - 6.3 =(20y + 3y)/20
700x - 126 = 23y______equation 2
From equation 1,y = 32x - 18
Put the above in equation 2 and we have
700x - 126 = 23(32x -18)
700x - 126 = 736x - 414
collect like terms
36x = 288
x = 288/36
x = 8
Remember that equation 1 says that y = 32x - 18 and we now know that x = 8 .
Substitute and we have
(32 × 8) - 18
y = 238
The number of friends that went out for dinner is 8
And their bill is $238
Answer:
45°
135°
Step-by-step explanation:
Let the measure of one angle be x
So, measure of its supplementary angle = 3x
Answer:
x=12
Step-by-step explanation:
3x/6 + 2 = 8
Subtract 2 from each side
3x/6 + 2-2 = 8-2
3x/6 =6
Multiply each side by 6/3
6/3 * 3/6 x = 6 *6/3
x = 36/3
x = 12
A. To be able to have the 2 sides ( the 2 triangles) line up correctly, Net A would be the correct one.
B. AB = 3
BC = 5
CD = 9.4
C. Surface area:
9.4 x 5 = 47
9.4 x 3 = 28.2
9.4 x 4 = 37.6
3 x 4 = 12
Total: 47 + 28.2 + 37.6 + 12 = 124.8 sq. in.
