Answer:
a
Step-by-step explanation:
Answer:
4x + 1
Step-by-step explanation:
note that (f + g)(x) = f(x) + g(x) , thus
f(x) + g(x)
= x + 3x + 1 ← collect like terms
= 4x + 1
To find this, turn the word question into an equation.
"One less than" means - 1, which is 1 being subtracted from something.
"half a number" means 1/2x, since 1/2 is half and x is unknown.
"is 12" means = 12, which is something equals 12.
Putting this in order would be 1/2x, then - 1, then = 12.
As an equation, this is 1/2x - 1 = 12.
So the equation is 1/2x - 1 = 12
Now you must find the number by solving this equation.
1/2x - 1 = 12
First, add 1 to both sides.
12 + 1 = 13
1/2x = 13
Now multiply both sides by 2.
This way, x will be isolated since 1/2x • 2 = 1x, and 1x = x.
13 • 2 = 26
x = 26
The number is 26.
Answer:
1577.8 US dollars are received for 1127 UK pounds.
5669.5 UK pounds are received for US$7937.3.
Step-by-step explanation:
The questions are solved by proportions, using a rule of three.
How many US dollars are received for 1127 UK pounds?
1 UK pound = 1.4 US dollars
1127 UK pounds - x US dollars
Applying cross multiplication:
1577.8 US dollars are received for 1127 UK pounds.
How many UK pounds are received for US$7937.3?
1 UK pound = 1.4 US dollars
x UK pounds - 7937.3 US dollars
5669.5 UK pounds are received for US$7937.3.
