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:
52.61
Step-by-step explanation:
First let turn 9.6% into a decimal
0.096
Then,
48 x 0.096 = 4.608 {Round} 4.61
48 + 4.61=52.61
Answer:
D. 12.3 ft
Step-by-step explanation:
This problem requires the use of trigonometric ratios. This one specifically uses the cosine ratio as it provides the hypotenuse and is asking for the side that is adjacent to the angle.
cos(40°)=a/16
cos(40°)×16=a/16×16
cos(40°)×16=a
a=12.256 ft
The length of side a is D. 12.3 ft.
y
=
3
x
4
−
3
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
3
4
Y-Intercept:
−
3
