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beks73 [17]
2 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]2 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.

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I cant find an answer for this sorry
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2 years ago
What is the LCM of 4,8,14?
Tamiku [17]
The LCM of 4,8,14 is 56

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I hope this helps you
5 0
3 years ago
What does this mean? Test the residuals of two other points to determine how well the line of best fit models the data.
kiruha [24]

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4 0
3 years ago
Solve (6b^2+5)+(8b-20)
Lisa [10]

The sum of the given expression is 6b^2+8b-15

<h3>Sum of expression</h3>

Given the following expression

(6b^2+5)+(8b-20)

We are to take the sum. On expansion;

6b^2+5 + 8b-20

Collect the like terms

6b^2+8b +5 - 20

6b^2+8b-15

Hence the sum of the given expression is 6b^2+8b-15

Learn more on sum of expression here: brainly.com/question/723406

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7 0
2 years ago
If anyone could help me with this last problem, I would greatly appreciate it.
il63 [147K]

Answer:

From the given information, the value of a is 3 and the measurement of ∠R is 25°

Step-by-step explanation:

For this problem, we have to find the value of a and the measurement of ∠R. We are given some information already in the problem.

<em>ΔJKL ≅ ΔPQR</em>

This means that all of the angles and all of the sides of each triangle are going to be equal to each other.

So, knowing this, let;s find the measurement of ∠R first.

All triangles have a total measurement of 180°. We are already given two angle measurements. We are given that the m∠P is 90° because the small box in the triangle represents a right angle and right angles equal 90°. We are also given that the m∠Q is 65° because ∠Q is equal to ∠K so they have the same measurement. Now, let's set up our equation.

65 + 90 + m∠R = 180

Add 65 to 90.

155 + m∠R = 180

Subtract 155 from 180.

m∠R = 25°

So, the measurement of ∠R is 25°.

Now let's find the value of a.

KL is equal to PQ so we will set up an equation where they are equal to each other.

7a - 10 = 11

Add 10 to 11.

7a = 21

Divide 7 by 21.

a = 3

So, the value of a is 3.

4 0
3 years ago
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