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kozerog [31]
3 years ago
11

there are 72 girls in 60 boys waiting to audition for the school play they are seated in rows in the auditorium with the same nu

mber of students in each row each row only has girls or boys how many Rose of girls will there be
Mathematics
2 answers:
Stels [109]3 years ago
6 0
There will be 6 rows of girls siting in each row of 12 seats per row and 5 rows of boys with 12 boys sitting  in each of the five rows
xenn [34]3 years ago
5 0
12. 72 and 60 the gif is 12 :)
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HELP PLEASE, Domain and range problem
pentagon [3]

Answer:

Range is number of copies produced and set of values is; 1 ≤ N ≤ 200

Domain; Cost of publishing book in dollars; set of values are; $710 ≤ N ≤ $2700

Step-by-step explanation:

Range is a set of all the possible output values in a function while domain is the set of all possible input values.

Now, the function is given as;

C = 10N + 700

Where;

C is the cost of publishing the book in dollars

N is the number of copies of books produced

Thus, the domain will be a set of N values while Range will be a set of C values.

We are told that the first printing can produce up to 200 copies of the book.

That means a maximum of 200 books and a minimum of 1.

Thus;

Range is; 1 ≤ N ≤ 200

Maximum possible cost of the 200 books is;

C = 10(200) + 700

C = $2700

Minimum cost which will be for 1 book will be;

C = 10(1) + 700

C = $710

Thus,domain is;

$710 ≤ N ≤ $2700

6 0
2 years ago
amirah ,who is at a point P ,observes a boat at pont B 1200m from P in direction 047 degrees. The boat is moving due north of B
Luda [366]

Answer:

  about 2.81 km/h

Step-by-step explanation:

It can be useful to draw a diagram.

The lines pointing to due north from points B and P are parallel, so the angle BCP and the bearing of point C from P are the same, 30°. The angle BPC will be the difference of bearings of B and C at P, so is 47-30=17°. This is enough information to solve the triangle using the Law of Sines:

  PB/sin(C) = CB/sin(P)

  CB = PB·sin(P)/sin(C) = (1200 m)·sin(17°)/sin(30°) ≈ 701.7 m

The speed of the boat is then ...

  x = distance/time = (0.7017 km)/(1/4 h) = 2.8068 km/h

6 0
3 years ago
A. The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.
erastovalidia [21]

Answer:

The average yearly salary of  the architect is <u>$62,000</u> and the lawyer is <u>$100,000</u>.

Step-by-step explanation:

Given:

The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.

Combined, an architect and a lawyer earn $ 210 thousand.

Now, to find the average yearly salary of  an architect and a lawyer.

Let the average yearly salary of  an architect be x.

So, the average yearly salary of  the lawyer = 2x-24,000.

Combined, architect and lawyer earn = \$210,000.

Now, to get the average salary of the architect and lawyer:

x+(2x-24000)=210000

x+2x-24000=210000\\\\3x-24000=210000

<em>Adding both sides 24000 we get:</em>

3x=186,000\\\\Dividing\ both\ sides\ by\ 3\ we\ get:\\\\x=62000.

<u>The average salary of architect = $62,000.</u>

Now, to get the average salary of lawyer by substituting the value of x:

2x-24000\\\\=2(62000)-24000\\\\=124000-24000\\\\=\$100,000.

<u>The average salary of lawyer = $100,000.</u>

Therefore, the average yearly salary of  the architect is $62,000 and the lawyer is $100,000.

4 0
3 years ago
Joel is training for a marathon. Right now he can run 3 miles. In two weeks he plans on running 5 miles, in four weeks he plans
myrzilka [38]

Answer:

c) 23

Step-by-step explanation:

The relationship between the amount of growth per 3 weeks is proportional.

If you made a table it would look similar to:

x      |          y  | Rate of Change

1      |          3  | +0

2     |          5  | +2

4     |          8  | +3

6     |         12  | +4

8     |          17 | +5

10    |         23 | +6

4 0
3 years ago
Solve the inequality <br><br> -5/7 - 6/7z &lt; -2/7
viktelen [127]

-\cfrac{5}{7}-\cfrac{6}{7}z~~ < ~~-\cfrac{2}{7}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{7}}{-5-6z~~ < ~~-2} \\\\\\ \stackrel{\textit{dividing by a negative value}}{-6z~}~\cfrac{3}{-6}}\implies \boxed{z~>-\cfrac{1}{2}}

3 0
3 years ago
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