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3 years ago

I need the answer for 10 and how you got the answers

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

6 0

Answer:

A. $y=\frac{3}{4} x$ B. 25% discount

Step-by-step explanation:

PART A:

For the shirt:

$y=$ Sale price of the shirt=$18

$x=$ Cost of the shirt=$24

Now, $\frac{x}{y} =\frac{24}{18} =\frac{4}{3}$

⇒ $y=\frac{3}{4}x$

For the pair of shoes:

$y=$ Sale price of the pair of shoes=$42

$x=$ Cost of the pair of shoes=$56

Now, $\frac{x}{y} =\frac{56}{42} =\frac{4}{3}$

⇒ $y=\frac{3}{4}x$

So, the equation that represents the sale price y of an item that costs x dollars is: $y=\frac{3}{4} x$

PART B:

y=Sale price of an item

x=Cost of the item

Discount on the item $=x-y=x-\frac{3}{4} x=\frac{x}{4}$

Percentage discount on the item $=\frac{\frac{x}{4} }{x}$ ×100 $=25$ %

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saveliy_v [14]

Answer:

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3 years ago

Kristen just deposited $6,500 into a new bank account that pays 4.5% interest the first year and 3% compounded annually each yea

vladimir2022 [97]

This question is about compound interest, but since the interest is such a small number you can use what you know about simple interest to eliminate some answers.

You can immediately eliminate choice A as a clunker, since it is less than the original amount in the account.

Consider what the amount of interest would be if you make the rate much larger than the original rate, say 10%, or 0.1:

$6,500 × 0.1 = $650

If this amount were added to the original amount each year for two years, the total would be:

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6 0

2 years ago

Read 2 more answers

He determines that 6 is an extraneous solution because the difference of the numerators is 6, so the 6s cancel to 0. which best

seropon [69]

The question is incomplete. Completed question is given below the answer.

His solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.

Given

Then the solution follows thus:

Step 1: 8(x – 4) = 2(x + 2)

Step 2: 4(x – 4) = (x + 2)

Step 3: 4x – 16 = x + 2

Step 4: 3x = 18

Step 5: x = 6

It can be seen that his solution is correct. But 6 is not an extraneous solution.

An extraneous solution is a solution to an equation that emerges from the process of solving the problem but is not a valid solution to the original problem.

When 6 is substituted into the original equation, the original equation holds.

Therefore, his solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.

Learn more about extraneous solution here: brainly.com/question/3751209

#SPJ4

Completed question:-

A student solves the following equation for all possible values of x:His solution is as follows:

Step 1: 8(x – 4) = 2(x + 2)

Step 2: 4(x – 4) = (x + 2)

Step 3: 4x – 16 = x + 2

Step 4: 3x = 18

Step 5: x = 6

He determines that 6 is an extraneous solution because the difference of the numerators is 6, so the 6s cancel to 0.

Which best describes the reasonableness of the student’s solution?

His solution for x is correct and his explanation of the extraneous solution is reasonable.