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Aleks04 [339]
3 years ago
5

Jarred sells DVDs. His inventory shows that he has a total of 3,500 DVDs. He has 2,342 more contemporary titles than classic tit

les. Let x represent the number of contemporary titles and y represent the number of classic titles. The system of equations models the given information for both types of DVDs.
x + y = 3,500

x – y = 2,342

Solve the system of equations. How many contemporary titles does Jarred have?
Mathematics
2 answers:
Mamont248 [21]3 years ago
3 0
Here, x - y = 2342
x = 2342 + y

Substitute this value into first equation, 
2342 + y + y = 3500
2y = 3500 - 2342
y = 1158/2
y = 579

So, x = 2342 + 579 = 2921

In short, Your Answer would be 2921 contemporary titles

Hope this helps!
Alborosie3 years ago
3 0
Well, if x + y = 3500, we can subtract y from both sides to give us x = 3500 - y. We can substitute that into the second equation:
x - y = 2342
(3500-y) -y = 2342
3500 - 2y = 2342
-2y = 2342-3500 = -1158
2y = 1158
y = 579
And substitute y back into the first equation:
x + y = 3500
x + 579 = 3500
x = 3500-579= 2921

So he has 2,921 contemporary titles. You can substituted the values back into the original equations to check them. Make sense?
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mario62 [17]

Answer:

11. A. \frac{12}{13}

12. D. \frac{35}{12}

Step-by-step explanation:

11: Sin is just the side opposite of the angle divided by the hypotenuse of the triangle

Opposite of A = 36

Hypotenuse of the triangle = 39

36/39 = \frac{12}{13}

12. Tan is the side opposite of the angle divided by the side adjacent to the angle

Opposite of C = 35

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35/12 = \frac{35}{12}

Hope this helps!

3 0
2 years ago
Need help asap with these
IRISSAK [1]

Answer:

1. 6n - 15

2. x + 10

3. -4d + 15

4. true, associative property

5. distributive, commutative

Step-by-step explanation:

1. distribute 3/4 into the parentheses, so multiply 3/4 * 8 and 3/4 * -20

2. distribute the 2 into the parentheses so multiply 2 * 3x and 2 * 5, then combine like terms

3. distribute -3 into the parentheses so -3 * 4D and -3 * -5 then add like terms

4. add like terms on both sides of the equal sign and you get 10x on both sides. this is the associative property because it doesn't matter what's inside or outside the parentheses you get the same answer no matter how you add them up

5. the first part is distributive because you distributed the three into the parentheses and the second part is commutative because you switch them around and you can get the same answer

6 0
3 years ago
First make a substitution and then use integration by parts to evaluate the integral. (Use C for the constant of integration.) x
e-lub [12.9K]

Answer:

(\frac{x^{2}-25}{2})ln(5+x)-\frac{x^{2}}{4}+\frac{5x}{2}+C

Step-by-step explanation:

Ok, so we start by setting the integral up. The integral we need to solve is:

\int x ln(5+x)dx

so according to the instructions of the problem, we need to start by using some substitution. The substitution will be done as follows:

U=5+x

du=dx

x=U-5

so when substituting the integral will look like this:

\int (U-5) ln(U)dU

now we can go ahead and integrate by parts, remember the integration by parts formula looks like this:

\int (pq')=pq-\int qp'

so we must define p, q, p' and q':

p=ln U

p'=\frac{1}{U}dU

q=\frac{U^{2}}{2}-5U

q'=U-5

and now we plug these into the formula:

\int (U-5)lnUdU=(\frac{U^{2}}{2}-5U)lnU-\int \frac{\frac{U^{2}}{2}-5U}{U}dU

Which simplifies to:

\int (U-5)lnUdU=(\frac{U^{2}}{2}-5U)lnU-\int (\frac{U}{2}-5)dU

Which solves to:

\int (U-5)lnUdU=(\frac{U^{2}}{2}-5U)lnU-\frac{U^{2}}{4}+5U+C

so we can substitute U back, so we get:

\int xln(x+5)dU=(\frac{(x+5)^{2}}{2}-5(x+5))ln(x+5)-\frac{(x+5)^{2}}{4}+5(x+5)+C

and now we can simplify:

\int xln(x+5)dU=(\frac{x^{2}}{2}+5x+\frac{25}{2}-25-5x)ln(5+x)-\frac{x^{2}+10x+25}{4}+25+5x+C

\int xln(x+5)dU=(\frac{x^{2}-25}{2})ln(5+x)-\frac{x^{2}}{4}-\frac{5x}{2}-\frac{25}{4}+25+5x+C

\int xln(x+5)dU=(\frac{x^{2}-25}{2})ln(5+x)-\frac{x^{2}}{4}+\frac{5x}{2}+C

notice how all the constants were combined into one big constant C.

7 0
3 years ago
A Theater has 500 seats. three-fourths of the seats are filled how many seats are filled? Explain your work
Orlov [11]
75% of 500 is 375
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4 0
3 years ago
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Tems11 [23]

Answer:

See explanation

Step-by-step explanation:

The selling price is ​$495.

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$x - 100% - 30% = 70%

Find the value of x:

The second washing machine:

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Now,

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Thus, the sale price of the first washing machine is $347 and the sale price of the second washing machine is $356. The second machine is more expensive.

5 0
2 years ago
Read 2 more answers
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