Answer:
see explanation
Step-by-step explanation:
(a)
Given y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition when x = 3, y = 18 , then
18 = 3k ( divide both sides by 3 )
6 = k
y = 6x ← equation of proportion
(b)
(i)
when x = 12 , then
y = 6 × 12 = 72
(ii)
when y = 42
42 = 6x ( divide both sides by 6 )
7 = x
Answer:
D
Step-by-step explanation:
We need to convert these words into mathematical expressions:
- "Twenty-two less than a number"; "less than" indicates that we need to use subtraction, and since it's "twenty-two less than", we have: -22. Let's say the "number" is q. Then, we have -22 of q, which is q - 22.
- "is twenty-four"; "is" in math always means "equal", so we need an equal sign with 24 next to it: = 24
Put this altogether:
q - 22 = 24
The answer is thus D.
Complementary angles add up to equal 90 degrees. Knowing this, you can subtract 68 from 90. 90-68=22.
Hope this helps.
The answer is 1494.569444
