1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
beks73 [17]
3 years ago
15

There are a total of 21 students in the choir and the drama club. There are 7 more students in the choir than the drama club. Wr

ite and solve a system of equations to represent this solution. Let x represent the number of students in the choir, and let y represent the number of students in the drama club. Interpret the solution.
Mathematics
1 answer:
PolarNik [594]3 years ago
8 0

Answer:

<em>The number of students in the drama club is 7 and the number in the choir is 14</em>

Step-by-step explanation:

X = Number of students in choir club

Y =  Number of students in drama club

<u>First equation:</u>

x + y = 21

<u></u>

<u>Since we know that there are 7 more students in the choir club than the drama club, that means:</u>

x + 7 = y

<u>A little trick that you can do to find y is this:</u>

21 students in the choir and drama club - 7

=> 14

Meaning that y is 14

<u>So lets go back into our second equation:</u>

x + 7 = 14

7 + 7 =14

x=7

<u>Plug both variables in:</u>

7 + 14 = 21

So that means that there are 7 students in the drama club and 14 students in the choir club.

You might be interested in
Milan runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?
jarptica [38.1K]

Answer: 4.8 miles

Step-by-step explanation:

6/55 = x/44

55x = 6(44)

55x = 264

x = 264/55 = 4.8 miles

3 0
3 years ago
If 75 equals a number plus four times the number, find the number
olga nikolaevna [1]
X + 4x = 75
Combine like terms:
5x = 75
Divide by 5 on each side of the equal sign:
x = 15
7 0
3 years ago
Read 2 more answers
In a retail setting, payroll is often based on projected sales. If your payroll budget is 6% of projected sales of $3500.00 and
Bad White [126]

The maximum number of hours that can be allocated in a day is 21

Data given;

  • Sale = $3500
  • Employee pay = $10.00 per hour
  • Percentage allocated to employee = 6% of sales

<h3>Percentage</h3>

This is the process of finding a fraction of a value multiplied by 100.

Let's find the actual figure allocated to employee pay.

6% of $3500 is;

6/100 = x/ 3500\\x = 0.06*3500\\x = 210

The percentage out of sale allocated for employee pay is $210

Now we know the actual amount allocated to employee pay and it is $210.

Divide the amount allocated to employee pay by $10:00 to find the actual hours we can allocate in a day.

y = 210/10 = 21

The maximum number of hours we can allocate in a day is 21 hours.

Learn more on percentage here;

brainly.com/question/843074

6 0
2 years ago
yo can someone pls help me with this i’ve been crying for the last hour bc i can’t figure it out and it’s due in 30 minutes. the
mr Goodwill [35]

9514 1404 393

Answer:

  • area: 524 cm²
  • perimeter: 124.8 cm

Step-by-step explanation:

The rectangle in the middle has a width equal to the radius of the semicircular ends, so (20 cm)/2 = 10 cm.

The semicircular ends, together, make a complete circle of radius 10 cm.

The area is the sum of the areas of the parts:

  A = LW = (21 cm)(10 cm) = 210 cm² . . . . . . rectangle area

  A = πr² = π(10 cm)² = 100π cm² ≈ 314 cm² . . . . . circle area

The total area is ...

  210 cm² +314 cm² = 524 cm² . . . . area of the figure

__

The perimeter of the figure is the sum of the lengths of all of the edges. From the left, working clockwise, we have ...

  P = (1/2 circle of diameter 20) + (rectangle top = 21) +(1/2 circle of diameter 20) +(circle radius = 10) +(rectangle bottom = 21) +(circle radius = 10)

The two 1/2 circles add to a whole circle with a circumference of ...

  C = πd = (3.14)(20 cm) = 62.8 cm

Then the whole perimeter is ...

  P = 62.8 cm + 21 cm + 10 cm + 21 cm + 10 cm = 124.8 cm

_____

Note that we have used 3.14 for pi. If you use a more exact value, your answers will be slightly different.

4 0
3 years ago
The tape diagram models the lengths of two snowboarding trails. The expert trail is 750 meters longer than the beginner trail. H
Kay [80]

Answer:

In a tape diagram, each of the lengths represents a fixed quantity of something.

Let's suppose that each one of these lengths represents a distance d.

We also know that the expert trail is 750 meters longer than the beginner one.

And in the tape diagram, the expert trail has 3 more lengths than the beginner trail, then we must have that the difference in distance must be equivalent with the difference in lengths.

750m = 3*d

d = 750m/3 = 250m

Then each length in the tape diagram represents 250m

With this we can find the length of each trail.

The beginner trail has 1 length, then it is 1*250m = 250 meters long.

The expert trail has 4 lengths, then it is 4*250m = 1000 meters long.

5 0
3 years ago
Other questions:
  • Given:
    12·1 answer
  • 2x+3=17 and x =7
    5·2 answers
  • Help me pleaseeee its ALGEBRA
    15·1 answer
  • three friends go to the movies and split the total cost between them. the total cost is $13.05 for movie tickets and $10.26 for
    14·2 answers
  • Together, Iris and Ivan weigh 120 pounds. Iris weighs 10 pounds less than Ivan. How much does each child weigh?​
    7·2 answers
  • Susie has 4 gallons of juice.How many cups of juice does she have?<br> ANSWER QUICKLY
    10·2 answers
  • Number of acute, obtuse and right angles inside each shape
    11·2 answers
  • What is the length of AB??
    5·1 answer
  • Jeff bought 15 granola bars for $30. How much does it cost per granola bar? $
    9·2 answers
  • Please HURRY ASAP answer all and I will give you brainliest !!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!