Answer:
$2500
Step-by-step explanation:
Given that:
Darcy's weekly earning = $982 plus 18% commission on food sales
Harper's weekly earning = $807 plus 25% commision
amount of food sales will result in Darcy and Harper earning the same amount for the week
Let amount of food sales = f
Darcy's earning = Harper's earning
(982 + 18%*f) = (807 + 25% * f)
(982 + 0.18f) = (807 + 0.25f)
982 + 0.18f = 807 + 0.25f
982 - 807 = 0.25f - 0.18f
175 = 0.07f
f = 175 / 0.07
f = 2500
Hence amount of food sales that will result in both Darcy and Harper earning the same amount = $2500
Answer:
Step-by-step explanation:
The rate of change of the situation is known as the slope:
Slope = Δy/Δx
Slope = y2-y1/x2-x1
From the graph, x2 = 10.5, x1 = 0. y2 = 32, y1 = 0
Slope = 32-0/10.5-0
Slope = 32/10.5
Slope = 3.047
Hence the rate of change is 3.047 ounces per minutes and the situation represents the slope of the graph.
Answer:
Step-by-step explanation:
Area of rectangle = Length × Width
The given rectangle has a length if x meters
The width of the triangle is (x-3) meters
The area of the rectangle is given as 10 square meters.
Area if rectangle = x(x-3) = 10
Multiplying each term in the parentheses,
x^2 -3x = 10
x^2 -3x -10 = 0
This is a quadratic equation
We will look for two numbers such that when they are multiplied, it will give us -10x^2 and when they are added, it will give -3x. It becomes
x^2 + 2x - 5x -10 = 0
x(x+2)-5(x+2) =0
( x + 2)(x-5) = 0
x = -2 or x = 5
The length of the rectangle cannot be negative so the length is 5 meters
Widith = x+3 = 5-3 = 2 meters
Answer:
2 and -1
Step-by-step explanation:
sum = 2 + (-1)
= 1
product = 2 × ( -1)
= -2
Answer:
Option C
Step-by-step explanation:
the linear equation y = 2x+10 matches with option c
