Answer:
1 notebook=$30.7
1 thumb drive =$12.2
Explanation:
Let x represent the number of notebooks and y represent the number of thumb drives.
4x+5y = $116 ................1
2x+3y = $68..................2
4x+2x=$116+$68
6x=184
![\frac{6x}{6} = \frac{184}{6} \\ \\ x = \frac{92}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6x%7D%7B6%7D%20%3D%20%20%5Cfrac%7B184%7D%7B6%7D%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B92%7D%7B3%7D)
Therefore, the cost of each notebook=30.66
=$30.7
2x+3y=$68
2(30.7)+3y =$68
$31.4+3y=$68
3y=$68 - $31.4
3y=36.6
![\frac{3y}{3} = \frac{36.6}{3} \\ y = \frac{36.6}{3} = 12.2](https://tex.z-dn.net/?f=%20%5Cfrac%7B3y%7D%7B3%7D%20%3D%20%20%5Cfrac%7B36.6%7D%7B3%7D%20%20%5C%5C%20y%20%3D%20%20%5Cfrac%7B36.6%7D%7B3%7D%20%20%3D%2012.2)
Therefore, the cost of each thumb drive = $12.2
Proof
2(30.7)+3(12.2)=$68
31.4+36.6=$68.0
Attached solution and work.
Answer:
$5.62 it could also possibly be $5.63 if you have to round up.
Step-by-step explanation:
Just try different ways to find a common denominator, add from there and then simplify.
Answer:
D)
24x + 52
Step-by-step explanation:
The perimeter of the shaded rectangle
P = 2(l+w)
= 2(4x+5 + 2x+7)
Combine like terms
=2( 6x+12)
Distribute
= 12x+24
The perimeter of the unshaded rectangle
P =2(l+w)
= 2(3x+14 +3x)
Combine like terms
=2(6x+14)
Distribute
=12x+28
Add the perimeters together
12x+24+ 12x+28
Combine like terms
24x+52