Answer: You reflect triangle PQR with vertices P(-2.-4). Q(-3,-1), and R(-4,-4). across the y-axis t
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
11 + 29 = 40
<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.
The rule here is n + (next odd number).
11 + 7 = 18
18 + 9 = 27
27 + 11 = 38
38 + 13 = 51.
51 is your next term!
Hope this helps!
X= salmon cost per pound
y= tuna cost per pound
$15x + $8y= $259
$12x + $6y= $204
Solve for one variable in one equation and substitute it in the other equation.
15x + 8y= 259
subtract both sides by 8y
15x= 259 - 8y
divide both sides by 15
x=(259-8y)/15
Substitute in second equation
12x + 6y= 204
12((259-8y)/15) + 6y= 204
multiply everything by 15 to eliminate fraction
(15)(12(259-8y)/15) + (15)(6y)= (204)(15)
(12*259) + (12*-8y) + 90y= 3060
multiply inside parentheses
3108 - 96y + 90y= 3060
combine like terms & subtract 3108 from both sides
-6y= -48
divide both sides by -6
y= $8 cost of tuna per pound
Substitute y=8 in either equation
15x + 8y= 259
15x + 8(8)= 259
15x + 64= 259
15x= 195
x= $13 cost of salmon per pound
CHECK:
12x + 6y= 204
12(13) + 6(8)= 204
156 + 48= 204
204= 204
ANSWER: One pound of salmon costs $13 and one pound of tuna costs $8.
Hope this helps! :)