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 :)
By knowing the circumference of the base of the cone, we see that the radius is 4 centimeters.
<h3>
How to find the radius of the cone?</h3>
Notice that in the first figure, the length of the arc AB is L = 8π cm.
Then, that arc will be the bottom part of the cone. Then we can see that the circumference of the base of the cone will be equal to the length of the arc.
And remember that for a circle of radius R (like the base of the cone), the circumference is:
C = 2πR.
Then we will get:
8π cm = C = 2πR
( 8π cm)/ 2π = R
4cm = R
The radius of the cone is 4cm.
If you want to learn more about circles:
brainly.com/question/1559324
#SPJ1
Answer:
7.5 gallons
Step-by-step explanation:
you do 180 divided by 40 = 4.5
you then do 105 divided by 35=3
you then add 4.5 gallons and 3 gallons to get 7.5 gallons
Answer:
-3² = 9
Step-by-step explanation:
Always remember to use:
P
E
M
D
A
S
