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pishuonlain [190]
3 years ago
8

There are 4 girls to every 3 boys on the track team how many boys were on the track team if there are 16 girls on the team

Mathematics
1 answer:
Agata [3.3K]3 years ago
6 0

Answer:there would be 12 boys

Step-by-step explanation:

For every 4 girls to 3 boys it’s 4/3 and 16/x it’s 16/4 which is 4/1 and then take that times the 3/1 getting yourself 12 basically 4x3

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If a storm window is 315 square inches, what are the dimensions if the window is 6 inches higher than it is wide
viva [34]

\bf \textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ L=\stackrel{\textit{6 more than \underline{w}}}{w+6}\\ A=315 \end{cases}\implies 315=(w+6)(w) \\\\\\ 315=w^2+6w\implies 0=w^2+6w-315 \\\\\\ (w+21)(w-15)=0\implies w= \begin{cases} -21\\ \boxed{15} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill w=15\qquad \stackrel{w+6}{L=21}~\hfill

3 0
3 years ago
F(x) = x2 + 1<br> g(x) = 5 – x
xz_007 [3.2K]

Answer:

g(x) = 5 – x

Step-by-step explanation:

7 0
3 years ago
. If α and β are the roots of
Lostsunrise [7]

Answer:

18x^2+85x+18 = 0

Step-by-step explanation:

<u><em>Given Equation is </em></u>

=> 2x^2+7x-9=0

Comparing it with ax^2+bx+c = 0, we get

=> a = 2, b = 7 and c = -9

So,

Sum of roots = α+β = -\frac{b}{a}

α+β = -7/2

Product of roots = αβ = c/a

αβ = -9/2

<em>Now, Finding the equation whose roots are:</em>

α/β ,β/α

Sum of Roots = \frac{\alpha }{\beta } + \frac{\beta }{\alpha }

Sum of Roots = \frac{\alpha^2+\beta^2  }{\alpha \beta }

Sum of Roots = \frac{(\alpha+\beta )^2-2\alpha\beta   }{\alpha\beta  }

Sum of roots = (\frac{-7}{2} )^2-2(\frac{-9}{2} ) / \frac{-9}{2}

Sum of roots = \frac{49}{4} + 9 /\frac{-9}{2}

Sum of Roots = \frac{49+36}{4} / \frac{-9}{2}

Sum of roots = \frac{85}{4} * \frac{2}{-9}

Sum of roots = S = -\frac{85}{18}

Product of Roots = \frac{\alpha }{\beta } \frac{\beta }{\alpha }

Product of Roots = P = 1

<u><em>The Quadratic Equation is:</em></u>

=> x^2-Sx+P = 0

=> x^2 - (-\frac{85}{18} )x+1 = 0

=> x^2 + \frac{85}{18}x + 1 = 0

=> 18x^2+85x+18 = 0

This is the required quadratic equation.

5 0
3 years ago
Read 2 more answers
What is 75miles/hr in feet/second?(1mile = 5280feet)
vodomira [7]

Answer:

110 feet/sec

Step-by-step explanation:

75 miles x 5280 feet

= 396000

396000/60 min

=6600

6600/60 secs

=110 feet/second

8 0
3 years ago
2.4.5
worty [1.4K]

Answer:

150 miles

Step-by-step explanation:

let m represent miles

$70 + .70m = $40 + .90m

subtract 40 from each side

$30 + .70m = .90m

subtract .70m from each side

$30 = .20m

divide both sides by .20

150 = m

5 0
2 years ago
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