Solid paper costs 1.75 each
Printed paper costs 2.50 each
Given:
Ben = $43.50 (12 rolls solid paper and 9 rolls of
printed paper)
Joel = $51.50 (8 rolls solid paper and 15 rolls of
printed paper)
Let x = solid paper
Let y= printed paper
12x + 9y = 43.50
8x + 15y = 51.50
Find X:
8x + 15y = 51.50
8x = 51.50 - 15y
x= (51.50 - 15y)8
Substitute X:
12x + 9y = 43.50
12(51.50 - 15y)/8 + 9y = 43.50
(618 - 180y)/8 + 9y = 43.50
8 (618 - 180y)/8 + 8*9y = 43.50 * 8
618-180y + 72y =348
-108y = 348 - 618
-108y =-270
-108y/-108=-270/-108
Y= 2.50
x = (51.50 - 15y)/8
x = (51.50 - 15(2.5) /8
x= (51.50 - 37.50\8
X = 14/8
X = 1.75
To check: x = 1.75; y = 2.5
12x + 9y = 43.50
12(1.75) + 9(2.5) = 43.50
21 + 22.50 = 43.50
43.50 = 43.50
8x + 15y = 51.50
8(1.75) + 15(2.5) = 51.50
14 + 37.50 = 51.50
51.50 = 51.50
Hope that helps! Have a good day :)
Answer:
A(2,2)
Step-by-step explanation:
Let the vertex A has coordinates 
Vectors AB and AB' are perpendicular, then
Vectors AC and AC' are perpendicular, then
Now, solve the system of two equations:
Subtract these two equations:
Substitute it into the first equation:
Then
Rotation by 90° counterclockwise about A(2,2) gives image points B' and C' (see attached diagram)
Answer:
Step-by-step explanation:
- 7 + 3x - 12x = 3x + 1
- 7 - 9x = 3x + 1
- 3x + 9x = 7 - 1
- 12x = 6
- x = 6/12
- x = 1/2
It has one solution
STEP 1
Bandages: multiply number of total kits by number of bandages per kit
9 * 24= 216 bandages total
STEP 2
Antiseptic Wipes: multiply number of total kits by number of antiseptic wipes per kit
9 * 16= 144 antiseptic wipes total
STEP 3
find difference between steps 1 & 2
= 216 bandages - 144 antiseptic wipes
= 72 more bandages
ANSWER: She packed 72 more bandages than antiseptic wipes.
Hope this helps! :)
You will have 40% of your savings left after buying brushes and paint. The fraction is 4/10, which you can simplify to 2/5.
