1) Sundaes - $2 ; Banana Splits - $3
3x + 2(x+8) = 156
3x + 2x + 16 = 156
5x = 156 - 16
5x = 140
x = 28 banana split ; x + 8 = 28 + 8 = 36 sundaes
2) Palanzio's = 6.80 + 0.90x ; Guido's = 7.30 + 0.65x
6.80 + 0.90x = 7.30 + 0.65x
0.90x - 0.65x = 7.30 - 6.80
0.25x = 0.50
x = 2 number of toppings.
6.80 + 0.90x = 7.30 + 0.65x
6.80 + 0.90(2) = 7.30 + 0.65(2)
6.80 + 1.80 = 7.30 + 1.30
8.60 = 8.60
3) 6x - y = 4 ; y = 4x + 2
6x - (4x+2) = 4
6x - 4x - 2 = 4
2x = 4 + 2
2x = 6
x = 6/2
x = 3
y = 4x + 2
y = 4(3) + 2
y = 12 + 2
y = 14
6x - y = 4
6(3) - 14 = 4
18 - 14 = 4
4 = 4
Answer:
x= -2, y = 5
Step-by-step explanation:
y = -4x-3
y = -2x+1
Set the two equations equal to each other
-4x-3 = -2x+1
Add 4x to each side
-4x-3 +4x = -2x+1+4x
-3 = 2x+1
Subtract 1 from each side
-3-1 = 2x+1-1
-4 =2x
Divide by 2
-4/2 = 2x/2
-2 =x
Now find y
y = -4x-3
y = -4(-2) -3
y = 8 -3
y =5
Answer:
Process Capability ratio / Index = 0.133
Step-by-step explanation:
From the question, we are told:
Upper limit of 9.16 ounces
Lower limit of 9.12 ounces
Process width of 0.05 ounces.
what is the process capability ratio
Process Capability ratio or Index formula
= Cp = (USL - LSL)/(6 × Standard deviation)
Cp = 9.16 - 9.12/6 × 0.05
Cp = 0.04/0.3
Cp = 0.13333333333
Approximately = 0.133
5 hundreds is 500. So 500x10= 5000.
Answer:5000
Answer:
1. x = 0, 4, -9
2. x = 3, 3, -5
3. 2x^3 - 9x^2 + 7x + 6
4. x = -6, -8, -15
5. 2x^3+10x^2+12x
Factor out the common factor:
2x (x^2+5x+6 )
Factor what's left in parentheses:
2x (x + 2) (x + 3)
6. x = 0, 4, -9
Step-by-step explanation:
