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3 years ago

Two lines, E and F, are represented by the equations given below.

Mathematics

2 answers:

melisa1 [442]3 years ago

7 0

Answer:

⇒ 5x + 5y = 40.

There are infinitely many solutions.

shusha [124]3 years ago

6 0

Although you have not included the statements about the solution to the set of the given equations, I can explain you what happen with that system.

You can arrive to the same conclusion by any method of solution of systems that you like.

The quickest in this case, is to multiply the equation of the lIne F by 5.

That leads to: 5 (x + y) = 5(8)

⇒ 5x + 5y = 40.

Now you can realize that the two representations (equations) correspond to the same line.

That means that there are infinite solutions, this is infinity values of x and y meet both equations.

If you graph line E and line F they overlap in the entire domain, so the graphing method also tells you that you cannot find one solution but infinite soluttions.

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May u guys help me jus me out 5 ez questions for u guys to help me with

Elena-2011 [213]

Answer:

1. -29/156 2. 38/45 3. 29/45 4. 113/24 or about 4.7 5. 457/1, 914/2, 1371/3

Step-by-step explanation:

3/13 - 5/12 can be simplified to 36/156 - 65/156. Subtract this and you get -29/156

4/9 + 2/5 can be simplified to 20/45 + 18/45. Add this and you get

38/45

5/8 - 2/9 can be simplified to 45/72 - 16/72. Subtract this and you get

29/45

3 1/2 + 2 5/12 can be first made irrational to 7/2 + 29/24. This can be simplified to 84/24 + 29/24

113/24 or about 4.7

Not sure about the 457, but to convert it, you multiply it by whatever denominator you have. For example

1x457 = 457/1

2x457 = 914/2

And finally 3x457 = 1371/3

3 0

2 years ago

Which decimal is equivalent to

Masteriza [31]

You're answer is B.) 0.7 because both the fraction and the decimal read seven tenths.

3 0

2 years ago

Read 2 more answers

Total profit P is the difference between total revenue R and total cost C. Given the following total-revenue and total-cost fu

gavmur [86]

Answer:

The profit function is:

$P(x)=-x^2+1280x-3300$

The maximum value is 406, 300 occurring when x = 640.

Step-by-step explanation:

The revenue function is:

$R(x)=1300x-x^2$

And the cost function is:

$C(x)=3300+20x$

Then the total profit function will be:

$P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300$

This is a quadratic function.

Therefore, the maximum value of the total profit will occur at its vertex point.

The vertex of a quadratic is given by:

$\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)$

In this case, a = -1, b = 1280, and c = -3300.

Then the point at which the maximum profit occurs is at:

$\displaystyle x=-\frac{1280}{2(-1)}=640$

And the maximum profit will be:

$P(640)=-(640)^2+1280(640)-3300=406300$

5 0

3 years ago

Read 2 more answers

A school had 400 girls last year and the number of boys was 95 more than that of the girls. This year the number of girls had in

STatiana [176]

Answer: The fraction by what the number of boys had been reduced=1/11

Step-by-step explanation:

Step 1: To calculate the number of boys last year.

According to the question,

The number of boys last year= 400+95

The number of boys last year=495

Step 2: To calculate the number of girls this year.

According to the question,

The number of girls this year= 400 + 400*1/5

The number of girls this year= 480

Step 3: To calculate the number of boys this year.

According to the question,

The number of boys this year= 480 – 30

The number of boys this year=450

Step 4: To calculate the fraction by what the number of boys had been reduced.

The number of boys reduced= the number of boys last year - the number of boys this year

The number of boys reduced= 495 - 450 = 45

The fraction by what the number of boys had been reduced

= The number of boys reduced/the number of boys last year

Therefore,

The fraction by what the number of boys had been reduced= 45/495= 1/11

6 0

3 years ago

Read 2 more answers

Help me solve this problem please

Serjik [45]

Width = 11
length = 19

5 0

3 years ago