Answer:
x = -6/5
Step-by-step explanation:
distribute -4 on the left side of the equation first, then distribute 2 on the right side of the equation to get:
16x - 4 - 4x = 2x - 14 - 2
combine 'like terms':
12x - 4 = 2x - 16
subtract '2x' from each side to get:
10x - 4 = -16
add 4 to each side to get:
10x = -12
x = -12/10 or x = -6/5
33117.7 in is the answer I believe…
The letters 's', 't', 'u', 'd', 'y', 'i', 's', 'l', 'a', 'n', 'd' are placed in a bag. one letter is randomly selected from the
Aleks [24]
Answer:
<em><u>7/11</u></em>
Step-by-step explanation:
There are 11 letters in 'S', 'T', 'U', 'D', 'Y', 'I', 'S', 'L', 'A', 'N', 'D', so there are 11 letters in the bag.
There are 7 consonants in the bag.
So, the probability of selecting a consonant is 7 out of 11, or 7/11
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