Answer:
30 and 20 respectively
Step-by-step explanation:
Let the number of sofas to be built be s and the number of recliners be r.
For the time part, we have the following equation:
8s + 6r = 340
For the money part:
180s + 105r = 6750
Now let’s solve these equations simultaneously.
Let’s change the form of the second equation:
180s + 17.5(6r) = 6750
From the first equation, 6r = 340 - 8s
Insert this into the third equation
180s + 17.5(340-8s) = 6750
180s + 5950 - 140s = 6750
40s = 6750 - 5950
40s = 800
s = 20
Substitute the value into the first equation
8(20) + 6r = 340
6r + 160 = 340
6r = 180
r = 30
Answer:
X24
Step-by-step explanation:
The domain { x | x = -5 , -3 , 1 , 2 , 6}
Answer:
y = - 2x + 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (5, 3) and (x₂, y₂ ) = (4, 5)
m = 
= 
= - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 5), then
5 = - 8 + c ⇒ c = 5 + 8 = 13
y = - 2x + 13 ← equation of line
