Answer:
66.666667%
Step-by-step explanation:
Answer:
2(7) - 1/4 = 4 + 1/3x
x = 117/4
Step-by-step explanation:
solving an equation with one missing variable
step 1: multiply 2 * 7
ex: 14 - 1/4 = 4 + 1/3x
step 2: subtract 14 from 1/4
ex: 55/4 = 4 + 1/3x
step 3: subtract 4 from both sides of the equation
55/4 - 4 = 4 + 1/3x - 4 (39/4 = 1/3x)
step 4: divide both sides of the equation by 1/3
ex: 39/4 / 1/3 = 1/3x / 1/3 (x = 117/4 or x = 29 1/4)
step 5: to check your answer add the answer you got from the last equation which was 117/4 or 29 1/4 and input it into the original equation and get your final answer
ex: 2(7) - 1/4 = 4 + 1/3(117/4)
14 - 1/4 = 4 + 39/4
55/4 = 55/4 (if both sides of the equation are the same numbers like 55/4 = 55/4 then your answer is true)
y = 3 x equation represents a proportional relationship.
Answer: Option B
<u>Step-by-step explanation:</u>
A proportional variation represents a relationship between two variables x and y. It can be expressed in the form y=k x. Here, the ‘k’, the proportionality constant is equal to the slope m and the line goes through the origin
case A) 
A linear equation that not passes through the origin and so not proportional variation
case B) y= 3 x
Is a linear equation but passes through the origin and so proportional variation
case C) y = - 3x+2
A linear equation that not passes through the origin and so not proportional variation
case D) 
An inverse variation equation but not passes through the origin and so not proportional variation.
From these, equation option B is the proportion equation because in these equations, there is no addition and subtraction of any constant number. That’s why both these equations become proportional equations.
Answer:
<em>The final price including tax is $41.89</em>
Step-by-step explanation:
The following items are on sale:
Sleeved dress $17.99
Skirt $16.19
T-shirt $8.99
Subtotal $43.17
The cheapest item is the T-shirt for $8.99 and it will be discounted by 30%:
$8.99 - 30/100 * $8.99 = $8.99 - $2.70 = $6.29
The total sale price is now: $43.17-$2.70=$40.47
Now we add the 3.5% tax:
$40.47 + 3.5/100 * $40.47 = $40.47 + $1.42 = $41.89
The final price including tax is $41.89
