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Murljashka [212]

4 years ago

11

There were 605 people sitting in an auditorium at the start of a show. Thirty-five people left during the intermission. How many

people remained in the auditorium after the intermission?

1 answer:

sp2606 [1]4 years ago

6 0

Answer:

570

Step-by-step explanation:

In order to get the answer, you simply subtract.. 605-35=570

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What is 3 1/2 - 2 5/7 and show the work

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$3 \frac{1}{2} -2 \frac{5}{7} = \frac{(3\cdot2)+1}{2} - \frac{(2\cdot7)+5}{7} = \frac{7}{2} - \frac{19}{7} \\\\= \frac{7\times 7}{2\times 7} - \frac{19\times 2}{7\times 2} = \frac{49}{14} - \frac{38}{14} \\\\= \frac{49-38}{14} =\boxed{\bf{\frac{11}{14}}}$

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Tickets to the school play are $5.00 for adults and $3.50 for students. If the total value of all the tickets sold was $2517.50

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$x-\ adults\\
y-\ students\\\\ \left \{ {{5x+3.50y=2517.5} \atop {x+100=y}} \right.\\\\
5x+3.5(x+100)=2517.5\\\\
5x+3.5x+350=2517.5\ \ \ | subtract\ 350\\\\
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4 years ago

the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 58 in, find its length and width

dolphi86 [110]

Answer:

Length = 17 inches

Width = 12 inches

⠀

Step-by-step explanation:

⠀

As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 58 in and we are to find the length and width of the rectangle. So,

⠀

Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .

⠀

Now, <u>According to the Question :</u>

⠀

${\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}$

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${\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 58 }}}}$

⠀

${\longrightarrow \qquad { {\sf{2 ( 2x + 5 )= 58 }}}}$

⠀

${\longrightarrow \qquad { {\sf{ 4x + 10= 58 }}}}$

⠀

${\longrightarrow \qquad { {\sf{ 4x = 58 - 10}}}}$

⠀

${\longrightarrow \qquad { {\sf{ 4x = 48}}}}$

⠀

${\longrightarrow \qquad { {\sf{ x = \dfrac{48}{4} }}}}$

⠀

${\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 12}} }}} }\: \: \bigstar$

⠀

Therefore,

The width of the rectangle is 12 inches .

⠀

Now, We are to find the length of the rectangle:

${\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}$

⠀

${\longrightarrow \qquad{ { \frak{\pmb{Length = 12 + 5 }}}}}$

⠀

${\longrightarrow \qquad{ { \frak{\pmb{Length = 17}}}}}$

⠀

Therefore,

The length of the rectangle is 17 inches .

⠀

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