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s2008m [1.1K]
3 years ago
14

A 2-column table with 5 rows. Column 1 has entries x, x, x, x, Total 100 percent. Column 2 has entries 5 dollars, 5 dollars, 5 d

ollars, 5 dollars, Total 20 dollars. Mia bought a poster that was discounted $5 from an original price of $20. Which equation models how Mia can find the percent of discount? $5 = x ?- $20 $5($20) = x $5 = $20(x) $5(x) = $20
Mathematics
1 answer:
earnstyle [38]3 years ago
4 0

Answer:

c

Step-by-step explanation:

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If I have 297 dogs but 5 wolves came and toke 131. How many are left?
spin [16.1K]
166 I guess you just subtract the numbers 297-131= Or there is something am I missing on here
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3 years ago
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Consider the equation: 3(–4n – 9) = 21
hram777 [196]

Answer: N=-4

Step-by-step explanation:

STEP

1

:

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  -4n - 9  =   -1 • (4n + 9)

Equation at the end of step

2

:

 -3 • (4n + 9) -  21  = 0

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  -12n - 48  =   -12 • (n + 4)

Equation at the end of step

4

:

 -12 • (n + 4)  = 0

STEP

5

:

Equations which are never true:

5.1      Solve :    -12   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.2      Solve  :    n+4 = 0

Subtract  4  from both sides of the equation :

                     n = -4

One solution was found :

n = -4

7 0
2 years ago
Read 2 more answers
Complete the square and write in standard form. Show all work.What would be the conic section:CircleEllipseHyperbolaParabola
mote1985 [20]

ANSWER

This is an ellipse. The equation is:

\frac{(x-1)^2}{3^2}+\frac{(y+4)^2}{4^2}=1

EXPLANATION

We have to complete the square for each variable. To do so, we have to take the first two terms and compare them with the perfect binomial squared formula,

(a+b)^2=a^2+2ab+b^2

For x we have to take 16x² and -32x. Since the coefficient of x is not 1, first, we have to factor out the coefficient 16,

16x^2-32x=16(x^2-2x)

Now, the first term of the expanded binomial would be x and the second term -2x. Thus, the binomial is,

(x-1)^2=x^2-2x+1

To maintain the equation, we have to subtract 1,

16(x^2-2x+1-1)=16((x-1)^2-1)=16(x-1)^2-16

Now, we replace (16x² - 32x) from the given equation by this equivalent expression,

16(x-1)^2-16+9y^2+72y+16=0

The next step is to do the same for y. We have the terms 9y² + 72y. Again, since the coefficient of y² is not 1, we factor out the coefficient 9,

9y^2+72y=9(y^2+8y)

Following the same reasoning as before, we have that the perfect binomial squared is,

(y+4)^2=y^2+8y+16

Remember to subtract the independent term to maintain the equation,

9(y^2+8y)=9(y^2+8y+16-16)=9((y+4)^2-16)=9(y+4)^2-144

And now, as we did for x, replace the two terms (9y² + 72y) with this equivalent expression in the equation,

16(x-1)^2-16+9(y+4)^2-144+16=0

Add like terms,

\begin{gathered} 16(x-1)^2+9(y+4)^2+(-16-144+16)=0 \\ 16(x-1)^2+9(y+4)^2-144=0 \end{gathered}

Add 144 to both sides,

\begin{gathered} 16(x-1)^2+9(y+4)^2-144+144=0+144 \\ 16(x-1)^2+9(y+4)^2=144 \end{gathered}

As we can see, this is the equation of an ellipse. Its standard form is,

\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1

So the next step is to divide both sides by 144 and also write the coefficients as fractions in the denominator,

\begin{gathered} \frac{16(x-1)^2}{144}+\frac{9(y+4)^2}{144}=\frac{144}{144} \\  \\ \frac{(x-1)^2}{\frac{144}{16}}+\frac{(y+4)^2}{\frac{144}{9}}=1 \end{gathered}

Finally, we have to write the denominators as perfect squares, so we identify the values of a and b. 144 is 12², 16 is 4² and 9 is 3²,

\frac{(x-1)^2}{(\frac{12}{4})^2}+\frac{(y+4)^2}{(\frac{12}{3})^2}=1

Note that we can simplify a and b,

\frac{12}{4}=3\text{ and }\frac{12}{3}=4

Hence, the equation of the ellipse is,

\frac{(x-1)^2}{3^2}+\frac{(y+4)^2}{4^2}=1

3 0
1 year ago
you have a work meeting that starts at 1:15 pm. you arrived at 12:53 pm. how many minutes early were you?
Inessa05 [86]
I totally forgot that I am having meeting at my work place. All of sudden, I remembered that meeting through a hint given by my colleague while having discussion about our project work. I have to present a topic which I didn't prepare yet. Meeting is at 1.15pm. OMG! It's already 12.30 pm. Within few minutes I went to the meeting place with my topic. When I entered the meeting hall, the time was 12.53pm. I was happy to know that I arrived 22 minutes earlier.
3 0
3 years ago
Martin has 38 dollars.raymond had x fewer dollars than Martin . Choose the expression that shows how much money Raymond has
horsena [70]

Answer: x < 38

Step-by-step explanation: Raymond has less money than Martin but you don’t know how much. So you use the less than sign to show that it’s less than 38 dollars

6 0
3 years ago
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