A linear equation in the form Ax + By = C is in_____,where A, B, and C are___

Carl and Bob can demolish a building in 6 days, Anne and Bob can do it in 3, Anne and Carl in 5. How many days does it take all

nata0808 [166]

Answer:

59/20 days or 2.95 days

Step-by-step explanation:

Let Carl do the job in c days, Anne- in a, and Bob in b days

Then the portion of job they can do is 1/c, 1/a and 1/b

As per given we have below equations:

1/c + 1/b= 1/6
1/a + 1/b = 1/3
1/a + 1/c = 1/5

Sum of all 3 equations gives us:

2(1/a + 1/b + 1/c) = 1/6 + 1/3 + 1/5
2(1/a + 1/b + 1/c) = 5/30 + 10/30 + 6/30
2(1/a + 1/b + 1/c) = 21/30
2(1/a + 1/b + 1/c) = 7/10
1/a + 1/b + 1/c = 7/20

It means all three together can complete 7/20 of the job in one day

The rest of the job is done by Anne and Bob:

1 - 7/20 = 13/20

As Anne and Bob can do 1/3 of the job in one day, they need time to complete the rest:

13/20:1/3 = 39/20

Add 1 day to this to find overall time:

1 + 39 /20 = 59/20 days or 2.95 days

4 0

2 years ago

Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is −34?

Zigmanuir [339]

Given:

The slope of a line is $-\dfrac{3}{4}$ .

To find:

The lines in the options are parallel, perpendicular or neither parallel nor perpendicular to the given line.

Solution:

We know that the slopes of parallel lines are equal.

The slope of line Q and the slope of given line are same, i.e., $-\dfrac{3}{4}$ . So, the line Q is parallel to the given line.

The slope of a perpendicular line is the opposite reciprocal of the slope of the line because the product of slopes of two perpendicular lines is -1.

The slope of a line is $-\dfrac{3}{4}$ . It means the slope of the perpendicular line must be $\dfrac{4}{3}$ . So, the line N is perpendicular to the given line.

The slopes of line M and P are neither equal to the slope of the given line nor opposite reciprocal of the slope of the line.

Therefore, the lines M and P are neither parallel nor perpendicular.

8 0

3 years ago

Factor completely 2x^2 − 2x − 40.

zubka84 [21]

Step-by-step explanation:

Hey there!

Given;

$= 2 {x}^{2} - 2x - 40$

Solve it by using mid-term factorization.

$= 2 {x}^{2} - 2x - 40$

$= 2 {x}^{2} - (10 - 8)x - 40$

$= 2 {x}^{2} - 10x + 8x - 40$

Take common and simplify them to get answer.

$2x(x - 5) + 8(x - 5)$

$= (2x + 8)(x - 5)$

$= 2(x + 4)(x - 5)$

Therefore the answer is option D.

Hope it helps..

3 0

3 years ago

Help me with this root problem....

aniked [119]

Answer:

No real roots

Step-by-step explanation:

When graphed, doesn't cross the x-axis

6 0

2 years ago

Read 2 more answers

How do u do surface area of a cylinder

alexandr402 [8]

Answer:

Height+surface area of the bottom circles*2

Step-by-step explanation:

If the height was 3 and the surface areas of the circles were 6, you would end up with a surface area of 15

7 0

3 years ago

A linear equation in the form Ax + By = C is in_____,where A, B, and C are____.

A linear equation in the form Ax + By = C is in_,where A, B, and C are.