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:
The value of BK is 3m and the value of CK is 2.4m.
Step-by-step explanation:
Given information: ABCD trapezoid
, BC=1.2m, AD=1.8m
, AB=1.5m, CD=1.2m
, AB∩CD=K.
Using the given information draw a figure.
Two sides of a trapezoid are parallel.
Since AB∩CD=K, therefore AB and CD are not parallel, because parallel line never intersect.

(Corresponding angles)
(Corresponding angles)
By AA rule of similarity

Corresponding sides of similar triangles are proportional.






The length of BK is 3 m.




The length of CK is 2.4 m.
Answer:
5 m
Step-by-step explanation:
Find the total length of the shelf by adding together the lengths of the two boards:
1 1/2 + 3 1/2
= 5
So, the total length of the shelf is 5 m
Answer:
x > 10/7 or x > 1 3/7
Step-by-step explanation:
First simplify the left side of the inequality.
6x+ 1/4 (4x+8)> 12
6x+x+2>12
7x+2>12 Next, using the property of inequality, subtract two from both sides.
7x>10 Now divide by 7 to solve for x.
x>10/7 or x> 1 3/7
Answer:
The y intercept is 3
(0,3)
Step-by-step explanation:
4x+2y=6
To find the y intercept, set x =0 and solve for y
4(0) +2y = 6
0+2y = 6
Divide by 2
2y/2 = 6/2
y =3
The y intercept is 3
(0,3)