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3 years ago

How many times can 13 go into 120?

Mathematics

2 answers:

Irina18 [472]3 years ago

8 0

Answer:

Step-by-step explanation:

120/13

9.230769230769231‬ times

frutty [35]3 years ago

4 0

Answer:

9 times

Step-by-step explanation:

13x10=130

130-13=114

13x9=114

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Melissa wants to purchase a digital camera.The listed price of the camera is $195.99.The camera is no sale for 10% off and Melis

lianna [129]

Answer:

The 10% off sale will save Melissa <u>$10.49</u>.

Step-by-step explanation:

Given:

The listed price of the camera is $195.99.

The camera is no sale for 10% off and Melissa has a coupon for 5% off the sales tax is 7%.

Now, to find the money Melissa will save of the 10% off sale.

So, to get the price of camera of the 5% off sale:

$(195.99-5\%\ of\ 195.99)$

$=(195.99-\frac{5}{100}\times 195.99)$

$=(195.99-9.80)$

$=186.19$

Now, adding the sales tax:

$186.19+7\%\ of\ 186.19$

$=186.19+\frac{7}{100} \times 186.19$

$=186.19+13.03$

$=199.22$

Thus, the price is $199.22.

Now, to get the price of 10% off sale:

$195.99-10\%\ of\ 195.99$

$=195.99-\frac{10}{100} \times 195.99$

$=176.39$

So, adding sales tax:

$176.39+7\%\ of\ 176.39$

$=176.39+\frac{7}{100} \times 176.39$

$=188.73$

Hence, the price is $188.73.

Now, to get the money 10% off sale will save Melissa:

$199.22-188.73$

$=10.49$

Therefore, the 10% off sale will save Melissa $10.49.

7 0

2 years ago

Write the equation -4x^2+9y^2+32x+36y-64=0 in standard form. Please show me each step of the process!

IgorC [24]

Hey there, hope I can help!

$-4x^2+9y^2+32x+36y-64=0$

$\mathrm{Add\:}64\mathrm{\:to\:both\:sides} \ \textgreater \ 9y^2+32x+36y-4x^2=64$

$\mathrm{Factor\:out\:coefficient\:of\:square\:terms} \ \textgreater \ -4\left(x^2-8x\right)+9\left(y^2+4y\right)=64$

$\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}4$
$-\left(x^2-8x\right)+\frac{9}{4}\left(y^2+4y\right)=16$

$\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}9$
$-\frac{1}{9}\left(x^2-8x\right)+\frac{1}{4}\left(y^2+4y\right)=\frac{16}{9}$

$\mathrm{Convert}\:x\:\mathrm{to\:square\:form}$
$-\frac{1}{9}\left(x^2-8x+16\right)+\frac{1}{4}\left(y^2+4y\right)=\frac{16}{9}-\frac{1}{9}\left(16\right)$

$\mathrm{Convert\:to\:square\:form}$
$-\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y^2+4y\right)=\frac{16}{9}-\frac{1}{9}\left(16\right)$

$\mathrm{Convert}\:y\:\mathrm{to\:square\:form}$
$-\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y^2+4y+4\right)=\frac{16}{9}-\frac{1}{9}\left(16\right)+\frac{1}{4}\left(4\right)$

$\mathrm{Convert\:to\:square\:form}$
$-\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y+2\right)^2=\frac{16}{9}-\frac{1}{9}\left(16\right)+\frac{1}{4}\left(4\right)$

$\mathrm{Refine\:}\frac{16}{9}-\frac{1}{9}\left(16\right)+\frac{1}{4}\left(4\right) \ \textgreater \ -\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y+2\right)^2=1$

$Refine\;once\;more\;-\frac{\left(x-4\right)^2}{9}+\frac{\left(y+2\right)^2}{4}=1$

For me I used
$\frac{\left(y-k\right)^2}{a^2}-\frac{\left(x-h\right)^2}{b^2}= 1$
$As\;\mathrm{it\;\:is\:the\:standard\:equation\:for\:an\:up-down\:facing\:hyperbola}$

I know yours is an equation which is why I did not go any further because this is the standard form you are looking for. I would rewrite mine to get my hyperbola standard form. However the one I have provided is the form you need where mine would be.
$\frac{\left(y-\left(-2\right)\right)^2}{2^2}-\frac{\left(x-4\right)^2}{3^2}=1$

Hope this helps!

4 0

3 years ago

You are on a 5.6-mile run and have already run 1.98 miles. How many more miles do you need to run?

Likurg_2 [28]

Answer:

3.62 miles need to be run

4 0

3 years ago

Read 2 more answers

An item that is 20% off is sold for 48$ what was the original price

solniwko [45]

Answer:

9.6

trust me I double checked and everything

7 0

2 years ago

What is the mean and median of the data<br><br> 4.7,8.51,6.5,7.42,9.64,7.2,9.3

Savatey [412]

Answer:Median=7.42

Mean=7.61

Step-by-step explanation:

4 0

2 years ago