Answer:
- The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.
- The solution x = 60 represents the total food bill.
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
The food bill (x) plus the tip (16) ;divided by the number of friends (8) , must be equal to the total amount spent (76) divided by the number of friends (8):
Mathematically speaking:
(x+16) /8 = 76/8
(x+16) /8 = 9.5
(x+16) = 9.5 (8)
x+16 = 76
x = 76-16
x= 60 (food bill)
So, the correct options are:
- The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.
(1/8 (x+16) =76/8)
- The solution x = 60 represents the total food bill.
Answer:
the sum of the remaining exterior angles is 174⁰
Step-by-step explanation:
Given;
the measure of two exterior angles of a decagon = 97° and 89°
The total sum of exterior angles of a polygon is 360⁰
let the sum of the remaining exterior angles = x
sum of the given exterior angles = 97⁰ + 89⁰ = 186⁰
x + 186⁰ = 360⁰
x = 360⁰ - 186⁰
x = 174⁰
Therefore, the sum of the remaining exterior angles is 174⁰
$200 - $88 = $112
$112 / 32 weeks = $3.50
Brooklyn saved $3.50 each week
1) Taking in account that the function is f(x)= -(2/3) |x+4|-6, I enclose a file with the graph.
That helps you to conclude:
a) The graph of f(x) has a vertex on (-4, -6)
b) When you multiply a function times 2/3 it is vertically compressed which is equivalent to horizontally streched.
c) The graph of f(x) opens downward
d) The domain of f(x) is all the real values (the absolute function accepts any value of x either positive or negative)
Answer: the graph of f(x) is horizontally stretched.
Answer:
The solution is (4, 0)
Step-by-step explanation:
Using Linear combination method to solve:

Since "e" have the same coefficient in both equation with opposite operator; we will add.

Divide both side by coefficient of d which is 3

Since d = 4; put 'd' into any of the equation to get 'e'

Therefore, the solution is (4, 0)