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3 years ago

Simplify the sum. (d^(2)+d-30)/(d^(2)+3d-40)+(d^(2)+14d+48)/(d^(2)-2d-48

Mathematics

2 answers:

quester [9]3 years ago

6 0

The answer is 2d^2+14d+16/(d+8)(d-8)

ruslelena [56]3 years ago

4 0

Simplify the sum. (d^(2)+d-30)/(d^(2)+3d-40)+(d^(2)+14d+48)/(d^(2)-2d-48

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An experience bricklayer can construct a small wall in 3 hours. An apprentice can complete the job in 5 hours. Find how long it

Over [174]

Answer:

Step-by-step explanation:

If the bricklayer can construct the wall in its entirety in 3 hours, then he can get 1/3 of the job done in an hour.

If the apprentice can get the whole job done in 5 hours, then he can get 1/5 of the job done in an hour. If they both work together on said job, the equation is

$\frac{1}{3}+\frac{1}{5}=\frac{1}{x}$ and now we solve for x. Multiply everything by the LCM to get rid of the fractions. That would be 15x:

$15x(\frac{1}{3}+\frac{1}{5}=\frac{1}{x})$ and doing that gives us

5x + 3x = 15 and

8x = 15 so

x = 1.875 hours which is 1 7/8 hours which is also 1 hour and 52 1/2 minutes.

3 0

2 years ago

Part a : solve - vp + 40 < 65 for v .

miskamm [114]

Answer:

$\large \text{Part a:}\\\\for\ d-\dfrac{25}{d}}$

$\large\text{Part b:}\\\\\boxed{r=\dfrac{7}{3}w-5}$

Step-by-step explanation:

$\text{Part a}\\\\-vp+400,\ \text{then}\ \boxed{v>-\dfrac{25}{d}}\\\\\text{if}\ d$

$\text{Part b}\\\\7w-3r=15\qquad\text{subtract 7w from both sides}\\\\-3r=-7w+15\qquad\text{divide both sides by (-3)}\\\\\boxed{r=\dfrac{7}{3}w-5}$

6 0

3 years ago

The perimeter of a rectangular field is 26 yards. The length is 4 more yards than twice the width. Find the length and width of

solong [7]

The formula for perimeter is P = 2length + 2width (P = 2L + 2W)

You know that the length is 4 more yards then twice the width. In equation form this would be:

length = 4 + 2w

Plug what you know into the perimeter formula:

26 = 2(4 + 2w) + 2w

First you must distribute the 2 to the numbers inside the parentheses, which would be 4 and 2w...

26 = (2 * 4) + (2 * 2w) + 2w

26 = 8 + 4w + 2w

Now you must combine like terms. This means that first numbers with the same variables (w) must be combined...

26 = 8 + 4w + 2w

4w + 2w = 6w

26 = 8 + 6w

Now bring 8 to the left side by subtracting 8 to both sides (what you do on one side you must do to the other). Since 8 is being added on the right side, subtraction (the opposite of addition) will cancel it out (make it zero) from the right side and bring it over to the left side.

26 - 8 = 8 - 8 + 6w

18 = 0 + 6w

18 = 6w

To isolate w divide 6 to both sides

18 / 6 = 6w / 6

w = 3

We know that the width is 3 ft

Now you must find the length. To do this plug 3 where you see w in the equation:

length = 4 + 2w

l = 4 + 2(3)

l = 4 + 6

l = 10

We know that length is 10 ft

Letter B. is the correct answer

Hope this helped!

~Just a girl in love with Shawn Mendes

4 0

3 years ago

If my savings of $x grows 10% each year. How much will I have in: 5 years

lawyer [7]

After 1 year=x1.1
After 2 years=x1.1*1.1
………
After 5 years=x1.1*1.1*1.1*1.1*1.1=x1.61051

8 0

2 years ago

Read 2 more answers

Anybody know the answer to this?

avanturin [10]

Answer:

The answer is 18

Step-by-step explanation:

Substitute b for -3 and y for 5 so 3*5=15

You then subtract -3 from 15 so a negative minus a negative is a positive so the equation would be 3*5=15--3= 3*5=15+3=18

8 0

2 years ago

Read 2 more answers