<u>Answer:</u>
First mechanic worked for 20 hours and second mechanic worked for 15 hours.
<u>Solution:</u>
Given, Two mechanics worked on a car.
The first mechanic charged $45 per hour, and the second mechanic charged $120 per hour.
The mechanics worked for a combined total of 35 hours, and together they charged a total of $2700.
We have to find how long did each mechanic work.
Let the time worked by 1st mechanic be t hours then time taken by 2nd mechanic will be 35 – t hours.
Now, according to given information,
45 x t + 120 (35 – t) = 2700
45t + 120 35 – 120t = 2700
-75t + 4200 = 2700
75t = 4200 – 2700
75t = 1500
t = 20
hence, 1st mechanic worked for 20 hours and 2nd mechanic worked for 35 – 20 = 15 hours.
I hope this helps you
3y-2=y+4
2y=6
y=3
Perimeter=4+6+7
Perimeter=17
Answer:
zeroes: x = -9 and x = -7
Step-by-step explanation:
f(x)=(x+8)^2−1
A "zero" refers to when the y-value on the graph is zero.
0 = (x+8)^2 - 1
1 = (x+8)^2
+ or - 1 = x+8
so break them apart into two equations
x+8 = 1 OR x+8 = -1
x = -7 OR x = -9
You can plug both back in to check that the equation works!
Answer:
For any method or algorithm, there will always be changes, as there are many ways to create on request, and one method might be better than the other.
I discovered that direct instruction is important by designing my own algorithm.
It is the use of simple, direct teaching methods, usually in order to teach a particular skill.
Answer:
x = 6 or x = -15
Step-by-step explanation:
x2+9x−90=0
Step 1: Factor left side of equation.
(x−6) (x+15)=0
x−6=0
x+15=0
x=6
x=−15
x=6
x=−15