All categories

3 years ago

To raise money for the

Mathematics

1 answer:

masha68 [24]3 years ago

8 0

Answer:

x = 60

y = 200

Step-by-step explanations:

Selling price:

Price of program = $0.5

Price of music = $5

Cost of production :

Program = $0.15 per program

CD = $1.75 per CD

Total Revenue = $400

Total Profit = $265

Let

Number of CD's = x

Number of program's = y

(0.5y + 5x) = 400

0.5y = 400 - 5x

y = (400 - 5x) / 0.5

y = 800 - 10x (1(

Cost of production:

1.75x + 0.15y

Profit = Total Revenue - Total cost of production

5x + 0.5y - 1.75x + 0.15y = 265

3.25x + 0.35y = 265 (2)

Put y = 800 - 10x in (2)

3.25x + 0.35y = 265

3.25x + 0.35(800 - 10x) = 265

3.25x + 280 - 3.5x = 265

-0.25x = - 15

Divide both sides by -0.25

x = -15/ -0.25

x = 60

y = 800 - 10x

= 800 - 10(60)

= 800 - 600

= 200

y = 200

You might be interested in

Calculate the value of (-8) * (-2/3)

topjm [15]

Answer: Exact Form: 16/3

Decimal Form: 5.3333...

Mixed Number form: 51/3

Step-by-step explanation: Hope I helped

6 0

3 years ago

Read 2 more answers

For the Data Set below, calculate the Variance to the nearest hundredth decimal place. (Do not use a coma in your answer) 175 34

dlinn [17]

Answer:

The variance of the data is 29966.3.

Step-by-step explanation:

The given data set is

175, 349, 234, 512, 638, 549, 500, 611

We need to find the variance to the nearest hundredth decimal place.

Mean of the data

$Mean=\dfrac{\sum x}{n}$

where, n is number of observation.

$Mean=\dfrac{3568}{8}=446$

The mean of the data is 446.

$Variance=\dfrac{\sum (x-mean)^2}{n-1}$

$Variance=\dfrac{(175-446)^2+(349-446)^2+(234-446)^2+(512-446)^2+(638-446)^2+(549-446)^2+(500-446)^2+(611-446)^2}{8-1}$

$Variance=\dfrac{209764}{7}$

$Variance=29966.2857$

$Variance\approx 29966.3$

Therefore, the variance of the data is 29966.3.

4 0

3 years ago

Which expressions are equivalent to 2(2x + 4y + x − 2y)?

Sholpan [36]

Answer:

Step-by-step explanation:

2(x+2y)=2x+4y

2x+4y

So option B is the correct answer

6 0

3 years ago

Read 2 more answers

How is 80.106 written in expanded form?<br> Pls answer !!

bearhunter [10]

Answer:

Step-by-step explanation:

This is pretty self explanatory and easy..

6 0

3 years ago

Round 3.5679 to the nearest tenth.

mrs_skeptik [129]

Answer:

3.6

Step-by-step explanation:

After the decimal point to the right, the first number is the 'tenths' spot. That number is the one they're asking you to round. As we know, when rounding, the number is rounded up if it is 5 or more. Since the number in the 'hundreths' spot is above 5, the 'tenths' spot is rounded up, making 5 a 6.

So, the answer is 3.6

7 0

3 years ago