31
since A = 1/2 b h, and the A is 279 and the height is 18, we can plug them in and solve for b.
Answer:
#3.) The initial value of 16 gal at x = 5 minutes means that 16 gallons of water was present 5 minutes after the barrel started leaking.
#4.) Find how many minutes until the barrel is empty of water.
Let y = 0, to solve for time x.
0 = (-2/5)*x + 18
(2/5)*x = 18
x = (5/2)* 18 = 5*9 = 45 minutes
Up to and after 45 minutes, the barrel is empty of water.
Step-by-step explanation:
#2.)
minutes: 5, 10, 15, 20
water(gal): 16, 14, 12, 10
Find slope: slope m = (14 - 16)/(10 - 5) = -2/5
y - 10 = (-2/5)*(x - 20)
y - 10 = (-2/5)* x + 8
y = (-2/5)*x + 18
rate of change slope means that for every minute 2/5 gallons of water is lost
#3.) The initial value of 16 gal at x = 5 minutes means that 16 gallons of water was present 5 minutes after the barrel started leaking.
#4.) Find how many minutes until the barrel is empty of water.
Let y = 0, to solve for time x.
0 = (-2/5)*x + 18
(2/5)*x = 18
x = (5/2)* 18 = 5*9 = 45 minutes
<u>Answer:</u> The first number is 2, the second number is 3 and the third number is -2
<u>Step-by-step explanation:</u>
Let the first number be 'x', the second number be 'y' and the third number be 'z'
The equations according to the question becomes:
⇒ x + y + z = 3 ....(1)
⇒ x - y + z = -3 ....(2)
⇒ x - z = 1 + y ....(3)
Rearranging equation 3:
⇒ x - y = 1 + z .....(4)
Putting in equation 2:
⇒ 1 + z + z = -3
⇒ 1 + 2z = -3
⇒ z = -2
Putting this value in equation 4 and equation 1, we get:
⇒ x - y = -1
⇒ x + y = 5
Cancelling 'y' by eliminiation method and equation becomes:
⇒ 2x = 4
⇒ x = 2
Putting value of 'x' and 'z' in equation 1:
⇒ 2 + y - 2 = 3
⇒ y = 3
Hence, the first number is 2, the second number is 3 and the third number is -2
Answer:
$66.70 for 10 sets
Step-by-step explanation:
Multiply the cost of 1 set by the number of sets wanted
$6.67 * 10
66.70 for 10 sets
