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Nata [24]
2 years ago
8

If w = 9, x = 10, and y = 3, what does 6x over 5y equal?

Mathematics
2 answers:
zlopas [31]2 years ago
7 0

Answer:

<em>4</em>

Step-by-step explanation:

To solve this, we first need to apply what we know (the value of the variables that have been given to us, for example, x = 10) to the equation. *Take note that there is no <em>w </em>variable in the problem given to us, so that info is only there to confuse us*

It'll look something like this:

\frac{6x}{5y} = ?

\frac{6 (10)}{5 (3)} = ?

Now that we've applied the values we know, we can just solve as is (which is going to be multiplying the top and bottom values together). In other words, it'll be like this now:

\frac{60}{15}

Since this is an improper fraction (meaning the numerator is larger than the denominator) we need to simply, which can be done by dividing (since fractions basically mean division). So 60 ÷ 15 is the last step.

\frac{60}{15} = 4

Hope that wasn't too complicated. Have a great day <3

nirvana33 [79]2 years ago
3 0

Answer:

6x = 6 (10) => 60

5y = 5 (3) => 15

\frac{6x}{5y}  =  >  \frac{60}{15}  =  > 4

hope that helps uhh!!

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The table below gives the completion percentage and interception percentage for five randomly selected NFL quarterbacks. Based o
Lina20 [59]

The regression equation is y = -0.42647x + 29.11471 and the correlation coefficient is -0.9607

<h3>How to determine the regression equation?</h3>

The table of values is given as:

Completion Percentage 57 59 62 63 64

Interception Percentage 5 3.5 3 2.5 1.5

Next, we enter the above values in a graphing calculator.

From the graphing calculator, we have the following summary:

  • Sum of X = 305
  • Sum of Y = 15.5
  • Mean X = 61
  • Mean Y = 3.1
  • Sum of squares (SSX) = 34
  • Sum of products (SP) = -14.5
  • r = -0.9607

Regression Equation = ŷ = bX + a

b = SP/SSX = -14.5/34 = -0.42647

a = MY - bMX = 3.1 - (-0.43*61) = 29.11471

So, the regression equation is

y = -0.42647x + 29.11471

And the correlation coefficient is -0.9607

Read more about regression at:

brainly.com/question/14313391

#SPJ1

7 0
2 years ago
Solve 3[-x + (2 x + 1)] = x - 1.<br> x = 2
Gekata [30.6K]

Answer:

x = -2

Step-by-step explanation:

3[- x + (2x + 1)] = x - 1

=  > 3[ - x + 2x + 1 ] = x - 1

=  > 3[x + 1] = x - 1

=  > 3x + 3 = x - 1

=  > 3x - x =  - 1 - 3

=  > 2x =  - 4

=  > x =  \frac{ - 4}{2}  =  - 2

7 0
2 years ago
Solve for x in the equation 2x^2+3x-7=x^2+5x+39
Shalnov [3]
Hey there, hope I can help!

\mathrm{Subtract\:}x^2+5x+39\mathrm{\:from\:both\:sides}
2x^2+3x-7-\left(x^2+5x+39\right)=x^2+5x+39-\left(x^2+5x+39\right)

Assuming you know how to simplify this, I will not show the steps but can add them later on upon request
x^2-2x-46=0

Lets use the quadratic formula now
\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}
x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:} a=1,\:b=-2,\:c=-46: x_{1,\:2}=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\left(-46\right)}}{2\cdot \:1}

\frac{-\left(-2\right)+\sqrt{\left(-2\right)^2-4\cdot \:1\cdot \left(-46\right)}}{2\cdot \:1} \ \textgreater \  \mathrm{Apply\:rule}\:-\left(-a\right)=a \ \textgreater \  \frac{2+\sqrt{\left(-2\right)^2-4\cdot \:1\cdot \left(-46\right)}}{2\cdot \:1}

Multiply the numbers 2 * 1 = 2
\frac{2+\sqrt{\left(-2\right)^2-\left(-46\right)\cdot \:1\cdot \:4}}{2}

2+\sqrt{\left(-2\right)^2-4\cdot \:1\cdot \left(-46\right)} \ \textgreater \  \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \left(-46\right)}

\mathrm{Apply\:rule}\:-\left(-a\right)=a \ \textgreater \  \sqrt{\left(-2\right)^2+1\cdot \:4\cdot \:46} \ \textgreater \  \left(-2\right)^2=2^2, 2^2 = 4

\mathrm{Multiply\:the\:numbers:}\:4\cdot \:1\cdot \:46=184 \ \textgreater \  \sqrt{4+184} \ \textgreater \  \sqrt{188} \ \textgreater \  2 + \sqrt{188}
\frac{2+\sqrt{188}}{2} \ \textgreater \  Prime\;factorize\;188 \ \textgreater \  2^2\cdot \:47 \ \textgreater \  \sqrt{2^2\cdot \:47}

\mathrm{Apply\:radical\:rule}: \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b} \ \textgreater \  \sqrt{47}\sqrt{2^2}

\mathrm{Apply\:radical\:rule}: \sqrt[n]{a^n}=a \ \textgreater \  \sqrt{2^2}=2 \ \textgreater \  2\sqrt{47} \ \textgreater \  \frac{2+2\sqrt{47}}{2}

Factor\;2+2\sqrt{47} \ \textgreater \  Rewrite\;as\;1\cdot \:2+2\sqrt{47}
\mathrm{Factor\:out\:common\:term\:}2 \ \textgreater \  2\left(1+\sqrt{47}\right) \ \textgreater \  \frac{2\left(1+\sqrt{47}\right)}{2}

\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1 \ \textgreater \  1+\sqrt{47}

Moving on, I will do the second part excluding the extra details that I had shown previously as from the first portion of the quadratic you can easily see what to do for the second part.

\frac{-\left(-2\right)-\sqrt{\left(-2\right)^2-4\cdot \:1\cdot \left(-46\right)}}{2\cdot \:1} \ \textgreater \  \mathrm{Apply\:rule}\:-\left(-a\right)=a \ \textgreater \  \frac{2-\sqrt{\left(-2\right)^2-4\cdot \:1\cdot \left(-46\right)}}{2\cdot \:1}

\frac{2-\sqrt{\left(-2\right)^2-\left(-46\right)\cdot \:1\cdot \:4}}{2}

2-\sqrt{\left(-2\right)^2-4\cdot \:1\cdot \left(-46\right)} \ \textgreater \  2-\sqrt{188} \ \textgreater \  \frac{2-\sqrt{188}}{2}

\sqrt{188} = 2\sqrt{47} \ \textgreater \  \frac{2-2\sqrt{47}}{2}

2-2\sqrt{47} \ \textgreater \  2\left(1-\sqrt{47}\right) \ \textgreater \  \frac{2\left(1-\sqrt{47}\right)}{2} \ \textgreater \  1-\sqrt{47}

Therefore our final solutions are
x=1+\sqrt{47},\:x=1-\sqrt{47}

Hope this helps!
8 0
2 years ago
Read 2 more answers
A belt and a pair of pants cost $490 altogether. A bag costs twice as much
m_a_m_a [10]

Answer:

$196

Step-by-step explanation:

Lets assume,

cost of a belt = 'x'

cost of a pair of pants = 'y'

Now, According to the question;

  1. x + y = 490;
  2. cost of a bag = twice the cost of belt = 2x;
  3. cost of a pair of pants = twice the cost of bag

    ⇒ y = 2×2x ⇔ 4x

hence, by subtituting the values in equation' we get;

⇒ x + 4x = 490

⇒ 5x = 490

⇒ x = 98

So, the difference between the cost of the pair of pants and the bag ;

⇒ y - 2x

⇒ 4x - 2x

⇒ 2x = 2×98 = 196.

6 0
3 years ago
A water sprinkler sends water out in a circular pattern. How large is the watered
Grace [21]
28.26 feet squared

Work:
A = π r²
A = 3.14 (3²)
A = 3.14 (9)
A = 28.26
6 0
2 years ago
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