Let x and y be the rate per hour for Mechanic 1 and 2 respectively.
Then,
x+y=205 ---------- (1)
Additionally,
10x+15y = 2500 ------ (2)
Solving equations 1 and 2;
Multiply (1) by 10 and subtract two from the result,
10x+10y = 2050
10x +15 y =2500
----------------------
-5 y = --450 => y = 450/5 = $90
Then,
x= 205-90 = $115
Therefore,
Mechanic 1 charged $115 per hour
Mechanic 2 charged $90 per hour
Answer:
25 cm squared
Step-by-step explanation:
To find area we multiply the side lengths
5cm x 5cm=25 cm squared
3/5(divided)9/7
3/5x7/9
27/35
Answer:
<u>XZ is longer than XY</u>
Step-by-step explanation:
First we can notice all of the answers consist of knowing the lengths, so we must now find the lengths for each segment. To do this, we must use the pythagorean theorem.
(1, -1) and (-5, -5)
-5- -1 = -4
-5-1 = -6
-4^2+-6^2 = c^2
16+36 = c^2
52 = c^2
7.21110255 = c
So, the length of XZ is 7.21110255 units long
(1, -1) and (8, -2)
8-1 = 7
-2--1 = -1
7^2+-1^2 = c^2
49+1 = c^2
50 = c^2
7.07106781 = c
So, the length of XY is 7.07106781 units long.
<u>XZ is longer than XY</u>
Answer:
the two numbers are 12 and -29
Step-by-step explanation:
let the two numbers be x and y
let the sum of the two numbers b
x+y = -17 ..................................................... equation 1
let the difference between the two numbers be
x-y = 41 ........................................................................ equation 2
from equation 1
x+y = -17 ..................................................... equation 1
x = -17 - y ............................................................... equation 3
substitute for x in equation 2
x-y = 41 ........................................................................ equation 2
-17-y -y = 41
-17 -2y = 41
-2y = 41 + 17
-2y = 58
divide both sides by -2
-2y/-2 = 58/-2
y = -29
put the value of y = -29 in equation 3
x = -17 - y ............................................................... equation 3
x = -17-(-29)
x =-17 + 29
x = 12
therefore the two numbers are 12 and -29
