Answer: 5/6 inch/minute
Whenever you are working with a question of rate where two different quantities are being compared, the required units will indicate which quantity is to be divided by which.
In this case you want to know inches per minute.Therefore:
5
8
inches
÷
3
4
minute
5
8
÷
3
4
=
5
8
×
4
3
←
multiply by the reciprocal
=
5
8
2
×
4
3
=
5
6
Hi there, 3 feet + 2 feet= 5 feet and 9 inches + 11 inches = 20 inches.
Therefore the answer is 5 feet, 20 inches
The complementary angle of 60° is 30°
cos(30°) = (√3)/2 ==> cos30°=0.86 (or b.)
These cannot be set equal to each other. you know this because of the following: x + 2 = 10 + x. subtract x from both sides to get 2 = 10, which is not true. they cannot be set equal to each other.
Multiply the top equation by 6 and and the bottom equation by –5 and then add the equations is the correct answer.
Solution:
Given system of equations:
8x + 5y = –7 – – – – (1)
–7x + 6y = –4 – – – – (2)
Multiply top equation by 6 and and bottom equation by –5
(1) × 6 ⇒ 48x + 30y = –42
(2) × –5 ⇒ 35x – 30y = 20
Now add these two equations, we get
(48x + 30y) + (35x – 30y) = –42 + 20
48x + 35x + 30y – 30y = –42 + 20
83x = –20
The variable y is eliminated.
Therefore Multiply the top equation by 6 and and the bottom equation by –5 and then add the equations is the correct answer.
