Answer:
x=4 and y=1
Step-by-step explanation:
Equation 1) 3x+8y=20
Equation 2) 5x+3y=23
Equation 1) 5(3x+8y=20 )
Equation 2) 3(5x+3y=23)
15x+40y=100
15x+9y=69
(Take away 40y from 9y and 100 from 69)
31y = 31
y=1
Substitute y=1 into equation 1)
3x+8=20
(Take away 8 from both sides)
3x=12
(Divide by 3)
x=4
He will have 32.00 left from paying back rita.
Answer:
Step-by-step explanation:
<h3>Part B</h3>
Assumed the dimensions of the top and bottom parts are identical.
Since the cylindrical part has total height of 1.8 cm and the hemisphere volume is transferred to bottom part and the cone part is still full, the value of h is the difference of the total height of cylinder and full part of the top section of cylinder:
- h = 1.8 cm - 0.3 cm = 1.5 cm
<h3>Part C</h3>
Find the volume of sand in the bottom part. It consists of a hemisphere and a cylinder of 1.5 cm height.
- V(cylinder) = πr²h = 3.14*(2.6/2)²*1.5 ≈ 7.96 cm³
- V(hemisphere) = 2/3πr³ = 2/3*3.14*(2.6/2)³ ≈ 4.6 cm³
<u>Total sand in the bottom part:</u>
<u>Time taken:</u>
- 12.56 / 0.05 = 251.2 seconds = 4 min 11.2 seconds
> this is the sign for the larger absolute value
