Answer:
The answer to your question is: a folder cost $1.92
Step-by-step explanation:
Haley bought 8 pencils and 3 folders spent 10.39
Nicole bought 5 pencils and 4 folders spent 10.51
Folder = ?
pencil = x
folder = y
Equations
8x + 3 y = 10.39 (1)
5x + 4 y = 10.51 (2)
Solve these equations
4 ( 8x + 3 y = 10.39 ) 32x + 12 y = 41.46
-3 ( 5x + 4 y = 10.51) -15x - 12y =-31.53
17 x 0 = 9.93
x = 9.93 / 17
x = 0.58 pencil
8(0.58) + 3y = 10.39
4.64 + 3y = 10.39
3y = 10.39 - 4.64
3y = 5.75
y = 5.75 / 3
y = 1.92 folder
Answer/Step-by-step explanation:
Given:
AC = 6x - 12
BC = 4
CD = 3x - 2
Required:
Determine length of AB and CD.
SOLUTION:
AC - BC = AB
(6x - 12) - 4 = AB (Substitution)
6x - 12 - 4 = AB
6x - 16 = AB
Since AB ≅ CD, therefore,
AB = CD
6x - 16 = 3x - 2 (Substitution)
Combine like terms
6x - 3x = 16 - 2
3x = 14
Divide both sides by 3
x = 4.7
Find AB
6x - 16 = AB
Plug in the value of x
6(4.7) - 16 = AB
28.2 - 16 = AB
12.2 = AB
Find CD
CD = 3x - 2
Plug in the value of x
CD = 3(4.7) - 2
CD = 14.1 - 2
CD = 12.1
Answer:
53 hours and 45 minutes
Step-by-step explanation:
since they open for 10 hours and 45 minutes a day.
10*5=50 hours, 45*5=225 minutes
add the minutes and hours together and it is 53 hours and 45 minutes
Answer:
It is 10 quarters and 10 nickels
10 x 25 = $2.50
10 x 5 = $0.50
2.50 + 0.50 = $3.00
***I hope this helps
Step-by-step explanation:
Let the first digit of the 2-digit number be x and the second digit be y.
Then the ratio (x/y) equals (1/2). Write a formula for y in terms of x.
The tens digit is 2 more than the units digit. Using the letters x and y, write out the proper equation.
Now solve your two equations simultaneously for x and y.