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Paraphin [41]
3 years ago
13

There are 48 students in a school play. The ratio of boys to girls is 5:7. How many boys are in the school play? Explain how you

found your answer
Mathematics
2 answers:
mr Goodwill [35]3 years ago
7 0
Boys:  x
gilrs:   y

From the text of the task:

\left \{ {{\frac{x}{y}=\frac{5}{7}} \atop {x+y=48 \rightarrow x=48-y}} \right.

Replacing x:

\frac{48-y}{y}=\frac{5}{7}\\
\\
7(48-y)=5y\\
\\
336-7y=5y\\
\\
12y=336\\
\\
y=\frac{336}{12}=28

So there are 28 girs and 20 boys
fomenos3 years ago
5 0
Did you say that the ratio of boys to girls is 5 to 7 ?

Well, then we know that 5 'groups' in the cast are boys, and 7 'groups' are girls.
So all together, there are 12 'groups' of students in the play, although we don't know
how many a 'group' is.

But wait a second.  You said there are 48 all together.  So each 'group' must be
48/12 = 4 students.

5 'groups' of boys = 20 boys
7 'groups' of girls = 28 girls

Check:

-- The ratio of 20 to 28 is 5 to 7 .  OK

-- 20 + 28 = 48 all together. OK

It all checks out.
yay
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Solve step by step solution then only i can do it plxx ​
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Answer:

<h3><u>Let's</u><u> </u><u>understand the concept</u><u>:</u><u>-</u></h3>

Here angle B is 90°

So \triangle ABC and \triangle ABD Are right angled triangle

So we use Pythagoras thereon for solution

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>
  • First in triangle ABC

perpendicular=p=8cm

Hypontenuse =h =10cm

  • We need to find base=b

According to Pythagoras thereon

{\boxed{\sf b^2=h^2-p^2}}

  • Substitutethe values

\longrightarrow\sf b^2=10^2-p^2

\longrightarrow\sf b={\sqrt {10^2-8^2}}

\longrightarrow\sf b={\sqrt{100-64}}

\longrightarrow\bf b={\sqrt {36}}

\longrightarrow\sf b=6

\therefore\overline{BC}=6cm

  • BD=BC+CD

\longrightarrowBD=9+6

\longrightarrowBD=15cm

  • Now in \triangle ABD

Perpendicular=p=8cm

Base =b=15cm

  • We need to find Hypontenuse =AD(x)

According to Pythagoras thereon

{\boxed {\sf h^2=p^2+b^2}}

  • Substitute the values

\longrightarrow\sf h^2=8^2+15^2

\longrightarrow\sf h={\sqrt {8^2+15^2}}

\longrightarrow\sf h={\sqrt {64+225}}

\longrightarrow\sf h={\sqrt {289}}

\longrightarrow\sf h=17cm

\therefore{\underline{\boxed{\bf x=17cm}}}

3 0
3 years ago
How many miles did a plane travel if it flew 455 miles per hour in 3 hours and what formula did you have to use
Kitty [74]

Answer:

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Step-by-step explanation:

Just multiply the speed in mph by the time in hours so 455 * 3

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Answer:

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Step-by-step explanation:

from alaska to chicago it is 2861 mi.

2861 times 5

that divdied by three is 14302

5 0
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24 PTS.!!!!!!VERY VERY VERY URGENT PLEASE HELP!!!!!!!! find the least common multiples of 24, 36 and 40 (no listing method!!)
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Step-by-step explanation: don't know how

7 0
2 years ago
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temperature at 4 am was -13 degrees the temperature was rising at a steady rate of 5 degrees an hour. at what time will the temp
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