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3 years ago

Which set of statements shows the correct steps to find 45 percent of 75?

Mathematics

2 answers:

egoroff_w [7]3 years ago

7 0

Answer: A

Step-by-step explanation:

melamori03 [73]3 years ago

3 0

Answer:

Write 45 percent as 9 ´ 5 percent, and write 5 percent as . Then, find of 75: . Multiply 3.75 by 9 to get 33.75. So, 45 percent of 75 is 33.75

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Solving the equation

creativ13 [48]

Answer:

9s+2=9s-5

Step-by-step explanation:

2 times 9s and 2 times 2 then subtract your 9sequals 3 times 3sand 3 times 6 so then you get 9s and 18 then you subtract 23 and you get 23. then you get your answer 9s-5=9s+2

5 0

3 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

Cos 35º sin 55° + cos 55° sin 35°

Tresset [83]

Answer:

Step-by-step explanation:

CosASinB + SinACosB

Sin(A+B)

Sin(35+55) = Sin(90) = 1

5 0

3 years ago

Read 2 more answers

Rewrite the equation y – 4x = –9 in slope-intercept form. simple explanation and proof

dusya [7]

Answer:

y=4x-9

Step-by-step explanation:

add 4x to both sides to isolate y

4 0

2 years ago

Read 2 more answers

Review the federal income tax table.

evablogger [386]

Answer:

Step-by-step explanation:

Tax payable:

= $4,543+($41,000-$39,476)×22%

= $4,543+$335.28

= $4,878.28

Tax rate:

= $4,878.28/$41,000

= 11.9%

<em>Hence, Tax rate is 11.9%</em>

7 0

2 years ago