Answer:
x = 3
Step-by-step explanation:
8z = 2x + 18
6x = 18
x = 3
Answer:
x = 8
Step-by-step explanation:
3(x-4) = 12
3x - 12 = 12
+ 12 + 12
3x = 24
/ 3 / 3
x = 8
4x+2y<=16
3x+3y<=15
2x+y<=8
x+y<=5
3x+2y->maximize profit
X Y profit
1 4 11
2 3 12
3 2 13
4 0 12
3 1 11
3 2 13
2 3 12
1 4 11
0 5 10
Farmer need to make 3 Apple pies and 2 apple cobblers
Farmer will use 16 cups of apples and 15 cups of flour
profit of farmer will be $13
The volume of the candle initially is:
V=Ab*h
Area of the base of the cylinder: Ab=pi*r^2
pi=3.14
Radius of the base: r=4 cm
Height of the cylinder: h=6 cm
Ab=pi*r^2
Ab=3.14*(4 cm)^2
Ab=3.14*(16 cm^2)
Ab=50.24 cm^2
V=Ab*h
V=(50.24 cm^2)*(6 cm)
V=301.44 cm^3
The candle melts at a constant rate of:
r=(60 cm^3)/(2 hours)=(120 cm^3)/(4 hours)=(180 cm^3)/(6 hours)
r=30 cm^3/hour
The amount of candle melted off after 7 hours is:
A=(30 cm^3/hour)*(7 hours)
A=210 cm^3
The percent of candle that is melted off after 7 hours is:
P=(A/V)*100%
P=[(210 cm^3)/(301.44 cm^3)]*100%
P=(0.696656051)*100%
P=69.66560510%
Rounded to the nearest percent
P=70%
Answer: 70%
$1.64 per gallon
she paid $23.78
23.78÷1.64
She paid for <span>14.5 gallons
To check:
1.64 * 14.5 </span>
<span>23.78
Hope this helps </span>
