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podryga [215]
2 years ago
7

In Omak the sales tax is 8.4%. What is the total cost including tax Aakel spent on a $48 purchase?

Mathematics
1 answer:
Vikki [24]2 years ago
6 0

Answer:

$52.03

Step-by-step explanation:

1. Approach

To solve this problem, first one needs to calculate the sales tax, then one must add that to the amount spent on the purchase. To calculate sales tax, one must convert the percent to decimal form, this can be done by dividing the percent by 100. Then one will multiply the decimal by the amount spent.

2. Find the tax

As states above; to calculate sales tax, one must convert the percent to decimal form, this can be done by dividing the percent by 100. Then one will multiply the decimal by the amount spent.

<u>a. convert percent to decimal</u>

8.4 / 100 = 0.084

<u>b. multiply the decimal by the amount spent</u>

48 * 0.084 = 4.032

The amount spent on sales tax is, $4.032

3. Find the total amount spent

Now all one has to do is add the amount spent in tax by the amount spent on the purchase.

48 + 4.032 = 52.032

Since money is only spent rounded to the second decimal point, one has to round the number;

52.03

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State whether the lines are parallel, perpendicular, coinciding, or neither: 6x+3y=–15 and y–3=–2x
lianna [129]

Answer:

Parallel

<u>Step-By-Step Explanation:</u>

Put the Function in Slope Intercept Form and Find the Slope of 6x+3y = 15

6x+3y = 15

3y = -6x + 15

3y/3 = -6x/3 + 15/3

y = -2x + 5

<u>We can see that the slope of 6x+3y = 15 is -2</u>

Put the Function in Slope Intercept Form and Find the Slope of y–3=–2x

y–3=–2x

y = -2x + 3

Here are our two Functions In Slope Intercept Form

y = -2x + 5

y = -2x + 3

<u>Remember the m = slope and the b = y-intercept</u>

y = mx + b

y = -2x + 5

y = -2x + 3

------------------------------------------------------------------------------------------------------

We can see both equations have the same slope of -2 so this means they could be parallel because parallel functions have the same slope but coinciding functions have the same slope too. To tell if the two functions are coinciding, the functions need to have the same slope and the same y-intercept. Looking at the two functions, we can see they have the same slope of -2 but their y-intercept are different so this makes the two functions parallel.

4 0
3 years ago
how can you use distributive property to write an expression equivalent to the one given above? Use reasoning to explain how you
Anit [1.1K]

The reason how the expression are equivalent given below:

<h3>What is Distributive Property?</h3>

Multiplying a number by a sum or difference is the same as multiplying by each number in the sum or difference and then adding or subtracting.

The Complete question is:

How can you use distributive property to write an expression equivalent to the one given above? Use reasoning to explain how you know the expressions are equivalent.

Distributive property represents distribute the outside number among the number or digits in parenthesis.

For Example: Solve the expression 7(20 + 3) using the distributive property of multiplication over addition.

When we solve the expression 7(20 + 3) using the distributive property,

we first multiply every addend by 7.

This is known as distributing the number 7 amongst the two addends and then we can add the products.

This means that the multiplication of 7(20) and 7(3) will be performed before the addition.

Hence,  7(20) + 7(3) = 140 + 21 = 161.

Learn more Distributive Property here:

brainly.com/question/5637942

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8 0
1 year ago
Measure Math | Welcome, HAILEE KNOTT
grandymaker [24]

Answer: 15\times\frac{1}{2}

Explanation:

Multiplying by 1/2 is the same as dividing by 2.

For example, if you have 10 slices of cake and 2 friends, then each friend gets 10/2 = 5 slices. We could also say 10\times \frac{1}{2} = 5

The fraction 1/2 converts to the decimal form 0.5, which means 10 \times \frac{1}{2} = 10*0.5

3 0
2 years ago
What is the square root of 378904
zvonat [6]

Simplify the following:

sqrt(378904)

sqrt(378904) = sqrt(8×47363) = sqrt(2^3×47363):

sqrt(2^3 47363)

sqrt(2^3 47363) = sqrt(2^3) sqrt(47363) = 2 sqrt(2) sqrt(47363):

2 sqrt(2) sqrt(47363)

sqrt(2) sqrt(47363) = sqrt(2×47363):

2 sqrt(2×47363)

2×47363 = 94726:

Answer:  2 sqrt(94726)

6 0
2 years ago
Please help ASAP 25 pts + brainliest to right/best answer
Dmitry [639]

Answer:

Your answer is B

Step-by-step explanation:

The inverse is the opposite of something. Since the inverse of 1/3x is 3x, then we know that we have the multiply the equation by 3. Doing this results in 3x-15, or y=3(x-5)

3 0
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