Answer:
$ 5.65
Step-by-step explanation:
let the cost of a pencil and a ruler be $p and $r respectively.
4p +r= 1 -----(1)
6p +3r= 2.10
divide by 3 throughout:
2p +r= 0.70 -----(2)
Q: 3p +13r= ?
(1) -(2):
(4p +r) -(2p +r)= 1 -0.70
4p +r -2p -r= 0.30 <em>(</em><em>expand</em><em>)</em>
2p= 0.30 <em>(</em><em>simplify</em><em>)</em>
p= 0.30 ÷2 <em>(</em><em>÷</em><em>2</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
p= 0.15
subst. into (1):
4(0.15) +r= 1
r +0.60= 1
r= 1 -0.60
r= 0.40
cost of three pencils and thirteen rulers
= 3p + 13r
= 3(0.15) + 13(0.40)
= 0.45 + 5.20
= $5.65
Answer:
The solutions are -2 and 3
Step-by-step explanation:
You can find the solutions to a quadratic by looking at where the line/arch intersects the x-axis. In this case, the quadratic intersected it at -2,0 and 3,0.
Let x be the number of movies rented
Let y be the number of video games rented
(5x+2y=26)4
- 3x+8y=53
20x+8y=104
-3x+8y=53
-----------------
17x =51
x=51/17
x=3
5x+2y=26
5(3)+2y=26
2y=26-15
y=11/2
y=5.5
Therefore, the movies cost $3 and the video games cost $5.5
Hope I helped :)
Answer:
Step-by-step explanation:
