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Diano4ka-milaya [45]
3 years ago
5

Twelve new students are standing in a line. How many different ways can the first seven students in line order themselves

Mathematics
1 answer:
anzhelika [568]3 years ago
6 0

Answer:

Step-by-step explanation:

hope this helps!

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I rent a gym for $150 for 30 students another time I rent the gym for $270 for 70 students I need to find a fixed rate
kirza4 [7]

Answer:

Fixed rate is $60.

Step-by-step explanation:

Let us consider per student charge be 'x'.

Let us consider fixed rate be 'b'

Given:

I rent a gym for $150 for 30 students.

So we can say that;

Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.

framing in equation form we get;

30x+b=150 \ \ \ \ equation \ 1

Also Given:

another time I rent the gym for $270 for 70 students.

So we can say that;

Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.

framing in equation form we get;

70x+b=270 \ \ \ \ equation \ 2

Now we will subtract equation 1 from equation 2 we get;

70x+b-(30x+b)=270-150\\\\70x+b-30x-b=120\\\\40x=120

Dividing both side by 40 we get;

\frac{40x}{40}=\frac{120}{40}\\\\x=\$3

Now we will substitute the value of x in equation 1 we get;

30x+b=150\\\\30\times3+b=150\\\\90+b=150\\\\b=150-90 =\$60

So we can say that the equation can be written as;

y =3x+60

Hence we can say that fixed rate is $60 and per student charge is $3.

3 0
3 years ago
Read 2 more answers
Which property is used in the following expression ? 3 (6 + 5) = 18 + 15
cestrela7 [59]

Distributive Property.

3 0
3 years ago
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If 14 songs were 9.38 dollars how much would one be
zheka24 [161]

Answer:

each song would be 67 cents (0.67)

Step-by-step explanation:

9.38/14=0.67

5 0
2 years ago
Y is inversley proportionaly to x. when y=7, x=9
mrs_skeptik [129]

The equation is y = 63/x

And y = 3 when x=21

Step-by-step explanation:

When y varies inversely with x, The inverse proportion is given by:

y ∝1/x

When the proportionality symbol is removed, a constant of proportionality is introduced

y = \frac{k}{x}

Putting y = 7 and x = 9

7 = \frac{k}{9}\\k = 9*7\\k = 63

So,

y = \frac{63}{x}

Putting x =21

y = \frac{63}{21}\\y = 3

Hence,

The equation is y = 63/x

And y = 3 when x=21

Keywords: Proportion, variables

Learn more about proportion at:

  • brainly.com/question/11220787
  • brainly.com/question/11131690

#LearnwithBrainly

8 0
3 years ago
When simplified the expression
Sladkaya [172]

Answer:

I would say it is 6 let me know if im wrong the top is cut off.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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