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3 years ago

Property of equality used to solve subtractior equations

Mathematics

1 answer:

Margarita [4]3 years ago

4 0

Two equations that have the same solution are called equivalent equations e.g. 5 +3 = 2 + 6. And this as we learned in a previous section is shown by the equality sign =. An inverse operation are two operations that undo each other e.g. addition and subtraction or multiplication and division. You can perform the same inverse operation on each side of an equivalent equation without changing the equality

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Marina paid $2,000 for a tablet PC after receiving a 25 percent discount. What was the price of the tablet before the discount?

tensa zangetsu [6.8K]

The price of the tablet before the discount is $ 2667

<h3><u>Solution:</u></h3>

Given that Marina paid $2,000 for a tablet PC after receiving a 25 percent discount

To find: The price of the tablet before the discount

Let "a" be the price of the tablet before the discount or original price

After receiving a 25 percent discount means 25 percent discount in original price

Discount = 25 % of original price

Discount = 25 % of "a"

$\begin{array}{l}{\text {discount}=\frac{25}{100} \times a} \\\\ {\text {discount}=0.25 a}\end{array}$

Now we can say that,

<em>price of tablet after discount = price of the tablet before the discount - discount</em>

2000 = a - 0.25a

0.75a = 2000

a = 2666.67 ≈ 2667

Thus the price of the tablet before the discount is $ 2667

4 0

3 years ago

1. An account is opened with a balance of $2800earning 4.25% simple interest. What will be thebalance in the account in 30 years

JulijaS [17]

Answer:

$6370

Explanation:

The simple interest formula gives us the final amount A given the principal amount P:

$A=P(1+rt)$

where r is the interest rate and t is the time interval.

Now in our case we have

P = 2800

r = 4.25/100

t = 30 years

therefore, the above formula gives

$A=2800(1+\frac{4.25}{100}\cdot30)$

which simplifies to give

$\boxed{A=\$6370}$

Hence, the account balance after 30 years will be $6370.

7 0

1 year ago

Kim is reading a book with 380 pages. She read 20 pages each day until she reached Part 2 of the book. Part 2 of the book is 160

Talja [164]

Answer:

11 days

Step-by-step explanation:

first you subtract the 160 from 380 becuase thats a different part than you divide that number by 20 pages a day and end up with 11 days it took

8 0

3 years ago

Read 2 more answers

Need answer 25 and answer 27

UNO [17]

$\\ \bull\tt\dashrightarrow \dfrac{-3}{8}x-20+2x>6$

$\\ \bull\tt\dashrightarrow \dfrac{-3}{8}x+2x=6+20=26$

$\\ \bull\tt\dashrightarrow \dfrac{-3+16}{8}x=26$

$\\ \bull\tt\dashrightarrow \dfrac{13}{8}x=26$

$\\ \bull\tt\dashrightarrow x=26\times \dfrac{8}{13}$

$\\ \bull\tt\dashrightarrow x=8(2)=16$

#27

$\\ \bull\tt\dashrightarrow 0.5x-4-2x\leqslant 2$

$\\ \bull\tt\dashrightarrow 0.5x-2x\leqslant=2+4=6$

$\\ \bull\tt\dashrightarrow -1.5x\leqslant 6$

$\\ \bull\tt\dashrightarrow x\leqslant\dfrac{6}{-1.5}$

$\\ \bull\tt\dashrightarrow x\leqslant 4$

8 0

3 years ago

If the sale price is $40 and the discount is 25%, what is the original price?

sveta [45]

Use this equation to solve the problem:

x - (x * .25) = 40

This equation is saying the original price times itself by 25% is 40.

x - (x * .25) = 40
Simplify.
x - .25x = 40
.75x = 40
Divide both sides by .75.
x = 53.33

The original price was $53.33

3 0

3 years ago