All categories

3 years ago

Find the sum of 5x+20 and the opposite of 20. Write an equivalent expression in standard form. Justify each step.

Mathematics

2 answers:

Mrrafil [7]3 years ago

7 0

The answer would more than likely to be 4..
because u divide 5 on both sides and it will give you x=4

Artemon [7]3 years ago

6 0

Do 5x + 1 instead of 5x + 20, because there was more than likely a mistype.

Now we are also looking for the reciprocal so we do (5x + 1)/20

Either that is the answer or there is something missing. If this is not the answer then there needs to be a number we can set the equation equal to

You might be interested in

A $3,500 loan, taken now, with a simple interest rate of 5% per year, will require a total repayment of $3,850. At what time t w

Alecsey [184]

Answer:

Roughly 2 years

Step-by-step explanation:

3500(1.05)^t=3850

(1.05)^t=1.1

t=1.953

So roughly 2 years

5 0

3 years ago

Read 2 more answers

Factor the polynomial 3x4 – 2x2 + 15x2 - 10 by grouping.

prohojiy [21]

Answer:

see explanation

Step-by-step explanation:

Given

3 $x^{4}$ - 2x² + 15x² - 10

Factor the first/second and third/fourth terms )

= x²(3x² - 2) + 5(3x² - 2) ← factor out (3x² - 2) from each term

= (3x² - 2)(x² + 5)

4 0

3 years ago

Read 2 more answers

Which graph represents this equation?

antiseptic1488 [7]

Answer:

The third option. I’m not 100% sure but I do think that’s the answer

Step-by-step explanation:

6 0

3 years ago

Factor-

Nastasia [14]

Hello from MrBillDoesMath!

Answer:

See Discussion section below

Discussion:

2x^2 + 5x + 3 = (2x+3)(x+1) which is Choice 3

3x^2+10x+4 =-1/3 (-3 x + sqrt(13) - 5) (3 x + sqrt(13) + 5)

I don't think any of the provided choices are right!

8x^2+10x-3 = (2x+3)(4x-1) which is Choice 2

6x^2-7x-4 = -1/24 (-12 x + sqrt(145) + 7) (12 x + sqrt(145) - 7)

I don't think any of the provided choices are right!

2x^2+x-28 = (2x-7)(x+4) which is Choice 2

Thank you,

MrB

4 0

3 years ago

AveGali [126]

Answer:

Total time taken by walking, running and cycling = 22 minutes.

Step-by-step explanation:

Let the speed of walking = x

As given,

The distance of walking = 1

Now,

As $Time = \frac{Distance }{Speed}$

⇒ Time traveled by walking = $\frac{1}{x}$

Now,

Given that - He runs twice as fast as he walks

⇒Speed of running = 2x

Also given distance traveled by running = 1

Time traveled by running = $\frac{1}{2x}$

Now,

Given that - he cycles one and a half times as fast as he runs.

⇒Speed of cycling = $\frac{3}{2}$ (2x) = 3x

Also given distance traveled by cycling = 1

Time traveled by cycling = $\frac{1}{3x}$

Now,

Total time traveled = Time traveled by walking + running + cycling

= $\frac{1}{x}$ + $\frac{1}{2x}$ + $\frac{1}{3x}$

= $\frac{6+3+2}{6x} = \frac{11}{6x}$

If he cycled the three mile , then total time taken = $\frac{1}{3x}$ + $\frac{1}{3x}$ + $\frac{1}{3x}$ = x

Given,

He takes ten minutes longer than he would do if he cycled the three miles

⇒x + 10 = $\frac{11}{6} x$

⇒ $x - \frac{11}{6} x = -10$

⇒ $-\frac{5}{6}x = -10$

⇒x = $\frac{60}{5}$ = 12

⇒x = 12

∴ we get

Total time traveled by walking + running + cycling = $\frac{11}{6} x = \frac{11}{6} (12) = 11 (2) = 22$ min

7 0

2 years ago