Answer:
These types of questions are not daunting if you break it down. First look at "Five less than twice the value of a number."
"Twice the value of a number" is simply 2x.
"Five less" is simply -5, so for the first part we have (2x-5)
Next, analyze the second part. "Three times the quantity of four more than one half the number."
Looking at "Three times the quantity" simply means "3 times something".
"the quantity of four more than one half the number" is 4 + "one half the number" or 4 + (1/2)x.
So the second part is simply 3(4+x/2).
Finally we finish the entire equation, (2x-5) = 3(4+x/2) then solve for x.
2x-5 = 12 + (3/2)x
2x-(3/2)x = 17
x/2 = 17
x=34
Checking the left side, (2x-5) = 2(34) - 5 = 63.
Checking the right side, 3(4+(34/2)) = 3(4+17) = 3(21) = 63.
Answer:
x = 1
Step-by-step explanation:
2(4x) = 8
2(4x) = 2 * 4x
2 * 4x = 8x
8x = 8
--- ---
8 8
x = 1
Answer: $11.67
Step-by-step explanation:
Sale Price = $3.50 , Rate = 70% or 0.7
Selling Price = Original Price - Discount
Discount = Rate x Original Price
Substitute the formula for Discount, we'll have
Selling Price = Original Price - (Rate x Original Price)
3.50 = Original Price - (0.7*Original Price)
Considering original price = 1,
3.50 = 1 Original Price - 0.7 Original Price
3.50 = 0.3 * Original Price Divide both sides of 0.3
3.50 / 0.3 = Original Price
Original Price = $11.67
A=6,000×(1+0.046)^(2)
A=6,564.696
if an ordered pair is a solution, it should satisfy the equation.
see the first option
, if you put $x=4$ and $y=12$
you'll get $12=12$ which is true.
now the last option, $y=8-x$ put $x=4$ and $y=12$
$12=8-4\implies 12\ne4$ thus it is not a solution.
So option 4 is correct