Answer:
36 36 32
Step-by-step explanation:
Answer: 19/12 pounds or 1.583 pounds
Step-by-step explanation:
Let a pound be represented by x. So x = 1 pound.
5/6 of a pound is the same as multiplying 5/6 × x. It becomes 5/6 × x = 5x/6
3/4 of a pound is the same as multiplying 3/4 × x. It becomes 3/4 × x = 3x/4
We want to look for 5/6 of a pound + 3/4 of a pound.
It becomes
5x/6 + 3x/4
Taking lowest common multiple(LCM) of 12, it becomes
= (2×5x + 3×3x) / 12
= (10x +9x)/12
= 19x /12
Substituting x = 1 pound,
It becomes 19/12 pounds
Expressing in decimal, 19/12 = 15.83
We can also solve from the beginning in terms of decimals
5/6 pounds = 0.833 pounds
3/4pounds = 0.75 pounds
5/6 pounds + 3/4 pounds = 0.833 + 0.75 = 1.583 pounds
Answer:
Quotient = a²+ 4a- 2
Step-by-step explanation:
(8a3+31a2-20a-5)/(8a-1)
=
<u> a² +4a-2 ⇒ quotient</u>
(8a-1)√(8a3+31a2-20a-5)
8a²- a² ⇒ Multiplying (8a-1) by a²
<u> - + </u> ⇒ Changing signs
32a²- 20a- 5
32a²- 4a ⇒ Multiplying (8a-1) by 4a
<u> - + </u> ⇒Changing signs
-16a -5
- 16a +2 ⇒ Multiplying (8a-1) by -2
<u> + - ⇒</u> Changing signs
-7 ⇒ Remainder
We follow the steps of simple division to get the quotient which is a²+ 4a- 2
We multiply (8a-1) by factors such as a², +4a and -2 to get the same terms as given in the dividend.
The line to find: y = mx + b
the line perpendicular to y= 2/5x+6/6 so it has the slope m × 2/5 = -1
thus the slope m = -5/2
the line passes through the point (-2,6) so:
6 = (-5/2)×(-2) + b so b = 1
the equation of the line is y = -5/2x +1
