All categories

3 years ago

There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club

Mathematics

1 answer:

ivolga24 [154]3 years ago

8 0

Answer:

The system of equations are $x+y=64$ and $x=y+10$

Step-by-step explanation:

Given : There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club.

To find : Write a system of linear equations that represents the situation.

Solution :

Let x represent the number of students in the drama club

and y represent the number of students in the yearbook club.

There are a total of 64 students in a drama club and a yearbook club.

i.e. $x+y=64$ ....(1)

The drama club has 10 more students than the yearbook club.

i.e. $x=y+10$ ....(2)

Substitute the value of (2) in (1),

$y+10+y=64$

$2y=54$

$y=\frac{54}{2}$

$y=27$

Substitute in (2),

$x=27+10$

$x=37$

Therefore, the system of equations are $x+y=64$ and $x=y+10$

You might be interested in

How much money does the average professional hockey fan spend on food at a single hockey game? That question was posed to 10 ra

Vinil7 [7]

Answer:

Now we have everything in order to replace into formula (1):

$18-2.262\frac{2.75}{\sqrt{10}}=16.03$

$18+2.262\frac{2.75}{\sqrt{10}}=19.97$

Step-by-step explanation:

Information given

$\bar X=18$ represent the sample mean

$\mu$ population mean (variable of interest)

s=2.75 represent the sample standard deviation

n=10 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=10-1=9$

The Confidence is 0.90 or 90%, the significance is $\alpha=0.1$ and $\alpha/2 =0.05$ , and the critical vaue would be $t_{\alpha/2}=2.262$

Now we have everything in order to replace into formula (1):

$18-2.262\frac{2.75}{\sqrt{10}}=16.03$

$18+2.262\frac{2.75}{\sqrt{10}}=19.97$

5 0

3 years ago

Vhich real-world scenario can be described using the algebraic expression c/4?

Law Incorporation [45]

Answer:

Baking c cookies and dividing them evenly among 4 friends.

Brainiest???

Hope this helps

3 0

3 years ago

Three forces of 300 N in the direction of N30E, 400N in the direction of N60E and

andreyandreev [35.5K]

Split up each force into horizontal and vertical components.

• 300 N at N30°E :

(300 N) (cos(30°) i + sin(30°) j)

• 400 N at N60°E :

(400 N) (cos(60°) i + sin(60°) j)

• 500 N at N80°E :

(500 N) (cos(80°) i + sin(80°) j)

The resultant force is the sum of these forces,

∑ F = (300 cos(30°) + 400 cos(60°) + 500 cos(80°)) i

… … … + (300 sin(30°) + 400 sin(60°) + 500 sin(80°)) j N

∑ F ≈ (546.632 i + 988.814 j) N

so ∑ F has a magnitude of approximately 1129.85 N and points in the direction of approximately N61.0655°E.

4 0

2 years ago

D) If C.P. - Rs 100, S.P. Rs 80, then loss percent

AfilCa [17]

Step-by-step explanation:

Selling price = Rs.80

Cost price = Rs.100

here, CP > SP

Now...

Loss ( L ) = CP - SP

= RS.100 - 80

= Rs.20

Now...

$loss \: percent \: = \frac{loss}{CP} \times 100%$

$= \frac{2000}{100} \\$

= 20 %

3 0

2 years ago

Please help i will mark brainliest (15 Points ) HELP PLEASE

igor_vitrenko [27]

The answer should be; 729 cm^3

8 0

3 years ago

Read 2 more answers