I believe the answer is 3.
If you would like me to show my work please reply saying so.
Sorry if I'm wrong, but I hope this helps.
4(3x - 6) +15 = 27
Distributive Property
12x + -24 + 15 = 27
Add the two constants (numbers without variables)
12x + -9 = 27
Because 9 is negative, add 9 to both sides.
12x = 36
Divide both sides by the coefficient (number with x)
x = 3
Answer:find the area i gaurntee once you do that you will start to get the problem
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
x² = 30² + 16²
(pythagoras theorem)
x = Square root 30² + 16²
x = 34
Answer:
It would take 4 hours for both candles to be the same height
Step-by-step explanation:
Total time (t) for red candle to be same height (h) can be expressed as;
Final height after time t=Initial height-rate per hour
where;
Final height after time=h
Initial height=8 inches
Rate per hour=rate×time=(7/10)×t=0.7t
Substituting;
h=8-0.7t
Total time (t) for blue candle to be same height (h1) can be expressed as;
Final height after time t=Initial height-rate per hour
where;
Final height after time=h1
Initial height=6 inches
Rate per hour=rate×time=(1/5)×t=0.2t
Substituting;
h1=6-0.2t
Since h=h1
8-0.7t=6-0.2t
8-6=0.7t-0.2t
0.5t=2
t=2/0.5
t=4 hours
It would take 4 hours for both candles to be the same height
To solve the two equations simultaneously using the substitution method we need to rearrange one of the equation to make either
or
the subject.
We can try in turn rearranging both equations and see which unknown term would have been easier to solve first
Equation
Making
the subject
, dividing each term by 2
⇒ (Option 1)
Making
the subject
, multiply each term by 8 gives
⇒ (Option 2)
Equation
Making
the subject
, divide each term by 3
⇒ (Option 3)
Making
the subject
, divide each term by 8
⇒ (Option 4)
From all the possibilities of rearranged term, the most efficient option would have been the first option, from equation
with
as the subject,