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3 years ago

The original price of an item plus a sales tax of 8.5%

Mathematics

1 answer:

dusya [7]3 years ago

7 0

It depends on What the original item is.

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HURRY PLEASE

klasskru [66]

Answer:

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$y=0,\:x=6$

Step-by-step explanation:

Considering the system of the equations

$\begin{bmatrix}2x-7y=12\\ -x+15y=-6\end{bmatrix}$

$\mathrm{Isolate}\:x\:\mathrm{for}\:2x-7y=12$

$2x-7y+7y=12+7y$

$2x=12+7y$

Divide both sides by 2

$\frac{2x}{2}=\frac{12}{2}+\frac{7y}{2}$

$x=\frac{12+7y}{2}$

$\mathrm{Subsititute\:}x=\frac{12+7y}{2}$

$\begin{bmatrix}-\frac{12+7y}{2}+15y=-6\end{bmatrix}$

$-\frac{12+7y}{2}+15y=-6$

$\mathrm{Multiply\:both\:sides\:by\:}2$

$-\frac{12+7y}{2}\cdot \:2+15y\cdot \:2=-6\cdot \:2$

$-\left(12+7y\right)+30y=-12$

$-12+23y=-12$

$-12+23y+12=-12+12$

$23y=0$

$\mathrm{Divide\:both\:sides\:by\:}23$

$\frac{23y}{23}=\frac{0}{23}$

$y=0$

$\mathrm{For\:}x=\frac{12+7y}{2}$

$\mathrm{Subsititute\:}y=0$

$x=\frac{12+7\cdot \:0}{2}$

$x=\frac{12}{2}$

$x=6$

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$y=0,\:x=6$

4 0

3 years ago

The weight of gemstones, such as diamonds, rubies, and emeralds, is measured in carats. A carat is a unit of measure equal to 20

Alexxx [7]

We are told in the question that 1 carat is equal to 200 mg.

The Hope Diamond is 44.5 carats. Let's multiply the weight of 1 carat by 44.5 to get the weight of the Hope Diamond in mg:

$\frac{200mg}{1 carat}* \frac{44.5 carats}{1}=8,900 mg$

The total weight of the Hope Diamond is 8,900 mg. However the question asks for the weight in grams. There are 1000 mg in 1 gram, so let's divide the known weight of the Hope Diamond in mg by 1000 to get the weight converted to grams:

$\frac{8,900mg}{1000}=8.9grams$

Now we know that the weight of the Hope Diamond is equal to 8.9 grams.

8 0

3 years ago

99x78<br> 123x56<br> 98x172<br> 38x900

yanalaym [24]

Answer:

99x78=7722

123x56=6888

98x172=16856

900x38=34200

Step-by-step explanation:

8 0

2 years ago

Ritu started a business and borrowed a certain sum at 14% per annum for 1 year, the interest being compounded semi annually. If

liubo4ka [24]

Use the formula A = p( 1 + x)^n.

A = 1831.84(1 + 0.14)^6

You can finish.

5 0

3 years ago

Sal and her three friends plan to bowl one or two games each. Each game costs $2.50 each. Identify the independent and dependent

tino4ka555 [31]

So the dependent is the number of games because it's not definite they dont know for sure. so the domain always involves money!!! always! the range wiyld be the numbers they migh play like 8-10 so 4 to 8 is the range value. so determining off of that the indepedent variable would be the total cost becuase it wont change so your answer is C hope this helped have a good day!!!

3 0

3 years ago

Read 2 more answers