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borishaifa [10]

1 year ago

7

Ezra has $20 to spend on a taxi ride. The taxi company charges a flat rate of $3, plus $1.00 per mile. What is the maximum amoun

t of miles Ezra can afford to travel in this taxi?

1 answer:

bagirrra123 [75]1 year ago

5 0

Answer:

17 miles

Step-by-step explanation:

20 - 3 = 17
(i may have misunderstood the question, if its $4 every mile then its 5 miles maximum)

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Lisa typed a 165-word paragraph in three minutes. Use the ratio table to

JulsSmile [24]

Answer:

1 minute

Step-by-step explanation:

We can see that Lisa types 165 words in 3 mins.

So she types 55 words in 1 minute.

How did I work that out?

Well, all you really do is $\frac {165}{3}$ which is equal to $\frac{55}{1}$ if you divide top and bottom by 3. Anything divided by 1 is itself.

8 0

1 year 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

A group of mathematical symbols that express a relationship or that are used to solve a problem

pogonyaev

A group of mathematical symbols that express a relationship or that are used to solve a problem is a FORMULA

8 0

2 years ago

WILL MARK AS BRAINLIEST!!! Write a numerical expression for the phrase, then simplify it. The product of 13 and the difference b

hjlf

" · " - product

" - " - difference

13 · (8 - (-10)) = 13 · (8 + 10) = 13 · 18 = 234

5 0

2 years ago

how many ninths does it take to make the same amount as 1/3.Explain your answer in words and pictures

docker41 [41]

The answers is 3/9 which you can check by reducing. It reduces to 1/3. Basically you go 1/3 = x/9 then cross multiple to get 9=3x do the division so 3x/3 and 9/3 and you get 3/9.

5 0

2 years ago