The original price of the item is given by the equation A = $ 93.75
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the original price of the item be represented as A
Now , the equation will be
The discount percentage of the item = 20 %
The discounted sale price of the item = $ 75
So , original price - ( 20/100 ) original price = discounted price
Substituting the values in the equation , we get
A - ( 20/100 )A = 75
( 80/100 )A = 75
Multiply by 100 on both sides of the equation , we get
80A = 7500
Divide by 80 on both sides of the equation , we get
A = $ 93.75
Hence , the original price is $ 93.75
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91 divided by 8 is equal to 11 with a remainder of 7.
To perform the standard algorithm for division, follow these steps to calculate 91 divided by 8:
Step 1: Set up the division with the dividend (91) inside the long division symbol and the divisor (8) outside the symbol.
```
_____
8 | 91
```
Step 2: Determine how many times the divisor (8) can be subtracted from the leftmost digits of the dividend (91). In this case, 91 divided by 8 equals 11 with a remainder.
Step 3: Write the quotient (the result of the division) above the long division symbol.
```
11
_____
8 | 91
```
Step 4: Multiply the divisor (8) by the quotient (11) and write the result below the first line of the dividend.
```
11
_____
8 | 91
- 88
```
Step 5: Subtract the product (88) from the digits of the dividend (91) and write the result below the line.
```
11
_____
8 | 91
- 88
______
3
```
Step 6: Bring down the next digit of the dividend (which is 1 in this case) to create the new partial dividend.
```
11
_____
8 | 91
- 88
______
3 1
```
Step 7: Repeat the process by determining how many times the divisor (8) can be subtracted from the new partial dividend (31). In this case, 31 divided by 8 equals 3 with a remainder.
Step 8: Write the new quotient (3) above the long division symbol.
```
11
_____
8 | 91
- 88
______
3 1
```
Step 9: Multiply the divisor (8) by the new quotient (3) and write the result below the second line of the dividend.
```
11
_____
8 | 91
- 88
______
3 1
- 24
```
Step 10: Subtract the new product (24) from the digits of the new partial dividend (31) and write the result below the line.
```
11
_____
8 | 91
- 88
______
3 1
- 24
______
7
```
Step 11: Since there are no more digits in the dividend to bring down, the division is complete. The final result is the quotient (11) with a remainder of 7.
Therefore, 91 divided by 8 is equal to 11 with a remainder of 7.
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Answer
x=3.13745860…,−0.63745860…
Step-by-step explanation:
thats decimal form