<h3>
Answer:</h3>
A. 3j+5p=7.60; 1j+2p=2.90
B. (j, p) = (0.70, 1.10)
C. $1.80
<h3>
Step-by-step explanation:</h3>
A. The bill is calculated by adding the products of quantity and price.
... 3j + 5p = 7.60 . . . . . . first bill
... 1j + 2p = 2.90 . . . . . . second bill
B. It is convenient to use the second equation to write an expression for j, then substitute that into the first equation.
... j = 2.90 -2p
... 3(2.90 -2p) +5p = 7.60 . . . . . substitute for j
... 8.70 -p = 7.60 . . . . . . . . . . . . eliminate parentheses, collect terms
... 1.10 = p . . . . . . . . . . . . . . . . . . add p-7.60
... j = 2.90 -2·1.10 . . . . put the value for p into the expression for j
... j = 0.70
C. j + p = 0.70 + 1.10 = 1.80
The cost of a juice and pancake special is $1.80.
Answer:
1.5 bags
Step-by-step explanation:
Width = 1 yard = 3 feet
Length = 5 feet
Square feet(area) of the floor = 5ft × 3ft = 15sqft
1 bag = 10sqft
x bag = 15sqft
x bags = (15 × 1)/10 = 1.5 bags
Answer:
infinite solutions
Step-by-step explanation:
Given
3(8m + 5) = 4(6m + 7) - 13 ← distribute parenthesis on both sides
24m + 15 = 24m + 28 - 13 , that is
24m + 15 = 24m + 15
Since both sides are equal then any real value of x makes the equation true.
Thus there are an infinite number of solutions
Attached a solution and showed work.
Answer:
y=x-3
Step-by-step explanation:
To find slope, use m=y2-y1/x2-x1, using values of x and y from two different points. Once you have found slope, take another point and use the point-slope equation y-y1=m(x-x1) and substitute in slope for m and the point for x1 and y1. Isolate y by subtracting y1 from both sides.