Answer:
each notebook costs $2.70
each pack of pencils costs $1.50
Step-by-step explanation:
system of equations:
let p = pack of pencils
let n = notebook
3p + 5n = 18
4p + 4n = 16.8
I used the elimination method by multiplying the first equation by 4 and the second equation by -3
4(3p + 5n = 18) = 12p + 20n = 72
-3(4p + 4n = 16.8) = -12p -12n = -50.4
adding the new equations together you get: 8n = 21.6
n = 21.6/8
n = $2.70
solve for 'p':
3p + 5(2.7) = 18
3p + 13.5 = 18
3p = 4.5
p = $1.50
Answer:
60 cm
Step-by-step explanation:
2x the width and 2x the length gives you the perimeter. This can be represented by the equation:
2w + 2L = P
Use the information given in the word problem to fill in the variables.
2(59) + 2L = 238
118 + 2L = 238
move 118 to the other side of the equation.
2L = 238 - 118
2L = 120
move 2 to the other side of the equation.
L = 
L = 60
4t+2c=200
2t+7c=400
I will solve for c in terms of t first
4t+2c=200
2c=200-4t
c=100-2t
Then I will substitute this in for c in the second equation to make it single variable
2t+7c=400
2t+7(100-2t)=400
2t+700-14t=400
300t=12
t=25
Tables cost $25 each
Plug t back into one of the ORIGINAL equations to find the cost of chairs
4(25)+2c=200
100+2c=200
2c=100
c=50
Chairs cost $50 each
Hope this helps! :)
Answer:
2k
Step-by-step explanation:
Add:
-k + 3k
or
-1k + 3k
2k
(You have to add -1 + 3)
Hope this helps :)
Answer:
A
Step-by-step explanation:
A is the right answer
f has the greater slope, 3. The slope of g is 2.
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