Answer:
12 hours
Step-by-step explanation:
Step one:
given data
base fee= $60
charge per hour= $15
let the number of hours the plumber work be x
the linear function for the charge is the equation of line.
that is y=mx+c
Step two:
given that y=$240
240=15x+60
240-60=15x
180=15x
divide both sides by 15 we have
x=180/15
x=12
<u>The number of hours is 12</u>
Answer:
x = 14
Angle B = 121°
Angle C is 59°
Step-by-step explanation:
First we'll find x, then we'll find Angle B (by substituting in x), then we'll find Angle C (bc Angle B and C are supplementary--that us, they add up to 180°)
10x-19 = 7x+23 subtract 7x
3x-19 = 23 add 19
3x = 42 divide by 3
x = 14
Angle B is 10x-19, and if x=14, then its 10(14)-19
Angle B is 140-19
which is 121°
Angle B = 121°
Angle B and Angle C add up to 180°
121° + c = 180°
c = 180-121
Angle C is 59°
Answer:
y=-0.215x^2+35
Step by Step:
Let, 
, 
, 
, 
We know that, the general equation of the parabola.
Substitute the value of 
in equation 
and find the value of 
Hence, the equation of the parabola is:
Answer:
55
Step-by-step explanation:
The absolute value of -30 is 30 and the absolute value of 25 is 25.
So you will end up with 30 + 25 which is 55.
First, find the area of lot A.
To find the area, multiply the length by the width.
33*42=1,386
Now, subtract the area of lot a from the total area. This will give us the area of lot b.
1,848-1,386=462
The area of lot b is 462 square feet.
Finally, divide the area of lot b (462) by its length to find the width. Since they both share a side, we know that it’s length is 42 feet.
462/42=11
Lot b is 11 feet wide.
Hope this helps!
