The TV is 28% off. You can verify this by dividing 1022.4 by 1420 and getting 0.72. That's how much of the price you have to pay.
So you just subtract .72 from 1 to .28
Let us assume the original price of the shirt = x
Let us assume the sale price of the shirt = y
20x/100 = y
x/5 = y
x = 5y
Now the second equation that we get is
x = y + 5
5y - y = 5
4y = 5
y = 5/4
Now putting the value of y in the first equation we get
x = 5y
= 5 (5/4)
= 25/4
= 6 1/4
Then we can say that the original price of the shirt was 6 1/4. The main trick of this problem lies in the words that have been used in the question. It is important to understand the question first before starting to solve the problem.
EQUATION 1: x-y=12
EQUATION 2: 3x+y=4
STEP 1:
solve for one variable in equation 1
x - y= 12
add y to both sides
x= 12 + y
STEP 2:
use x value from step 1 and substitute in equation 2
3x + y= 4
3(12 + y) + y= 4
multiply 3 by parentheses
(3*12) + (3*y) + y= 4
multiply inside parentheses
36 + 3y + y= 4
combine like terms
36 + 4y= 4
subtract 36 from both sides
4y= -32
divide both sides by 4
y= -8
STEP 3:
substitute y value from step 2 into either equation
x - y= 12
x - (-8)= 12
x + 8= 12
subtract 8 from both sides
x= 4
CHECK:
x= 4, y= -8
3x + y= 4
3(4) + (-8)= 4
12 - 8= 4
4= 4
ANSWER: The x value is 4 and the y value is -8.
Hope this helps! :)
Complete question :
Montel is selling roses for $4 each to raise money for a local charity. If he spend $184 to buy the flowers, how many roses ,x, must Montel sell to make a profit of at least $360
Answer:
x > 136
Step-by-step explanation:
To make a profit of $360
Selling price per rose = $4
Amount spent on roses = $184
To male a profit of at least $360
The total revenue made from rose sale must be :
Cost price + profit made
$184 + $360 = $544
To make a profit of at least, $360, them he must sell at least :
$544 / selling price
$544 / $4
= 136
x > 136
Answer:
32 nd term
Step-by-step explanation:
The formula for the sequence is
n² + 1 ( that is 1 added to each square number )
Equate to 1025 and solve for n
n² + 1 = 1025 ( subtract 1 from each side )
n² = 1024 ( take the square root of both sides )
n = 
= 32
