Answer:
ummmm
Step-by-step explanation:
Answer:
x=8, y = 0
Step-by-step explanation:
Substitution is easier for this problem.
3x + y = 24 ---> y = 24 - 3x
x^2 + y = 64
Substitute y
x^2 + 24 - 3x = 64
x^2 - 3x = 40
Factor out x
x(x-3) = 40
Pretty much you can guess and check
x = 8
If x = 8, y = 0
or
x^2 - 3x = 40
Complete the square
x^2 - 3x + 2.25 = 42.25
(x-1.5) ^2 = 42.25
Square root both sides
x - 1.5 = 6.5
x=8
x - 1.5 = -6.5
x = -5
Check
x = -5 doesn't work, so x = 8 and y = 0
Answer:
50°
Step-by-step explanation:
Answer:
- small: 5 yards
- large: 8 yards
Step-by-step explanation:
Using s and L to represent the amount of ribbon used for small barrettes and large barrettes, respectively, we have ...
12s +12L = 156
10s +11L = 138
Dividing the first equation by 12 gives ...
s +L = 13
Substituting s = 13-L into the second equation gives ...
10(13 -L) +11L = 138
130 +L = 138 . . . . . . . simplify
L = 8 . . . . . . . . . . subtract 130
s = 13 -8 = 5 . . . . find s
Rachel uses 5 yards for a small barrette, and 8 yards for a large barrette.
Answer:
8:14
Step-by-step explanation: