Ask question

Ask question

All categories

Montano1993 [528]

2 years ago

8

Juan walks 3.5 miles in 56 minutes. How long will it take him to walk 1 mile?

2 answers:

mestny [16]2 years ago

5 0

distance = time * speed

1 mile = time * 3.5 miles /56 minutes

so time = 56 minutes/3.5 = 16 minutes

Art [367]2 years ago

3 0

distance = time * speed

1 mile = time * 3.5 miles /56 minutes

so time = 56 minutes/3.5 = 16 minutes

You might be interested in

Need help with 17 and 18

Ray Of Light [21]

Where’s the question?

8 0

2 years ago

Find the set of values of k for which the line y=kx-4 intersects the curve y=x²-2x at 2 distinct points?

Sonbull [250]

Answer:

$-6 < k < 2$

Step-by-step explanation:

Given

$y = x^2 - 2x$

$y =kx -4$

Required

Possible values of k

The general quadratic equation is:

$ax^2 + bx + c = 0$

Subtract $y = x^2 - 2x$ and $y =kx -4$

$y - y = x^2 - 2x - kx +4$

$0 = x^2 - 2x - kx +4$

Factorize:

$0 = x^2 +x(-2 - k) +4$

Rewrite as:

$x^2 +x(-2 - k) +4=0$

Compare the above equation to: $ax^2 + bx + c = 0$

$a = 1$

$b= -2-k$

$c =4$

For the equation to have two distinct solution, the following must be true:

$b^2 - 4ac > 0$

So, we have:

$(-2-k)^2 -4*1*4>0$

$(-2-k)^2 -16>0$

Expand

$4 +4k+k^2-16>0$

Rewrite as:

$k^2 + 4k - 16 + 4 >0$

$k^2 + 4k - 12 >0$

Expand

$k^2 + 6k-2k - 12 >0$

Factorize

$k(k + 6)-2(k + 6) >0$

Factor out k + 6

$(k -2)(k + 6) >0$

Split:

$k -2 > 0$ or $k + 6> 0$

So:

$k > 2$ or k $> -6$

To make the above inequality true, we set:

$k < 2$ or $k >-6$

So, the set of values of k is:

$-6 < k < 2$

3 0

2 years ago

4/3 divided by 2/5...............

FrozenT [24]

Answer:

$3 \frac{1}{3}$ , or 10/3

Step-by-step explanation:

4/3 ÷ 2/5 = 4/3 × 5/2 = 20/6 = $3 \frac{2}{6} = 3\frac{1}{3}$

4 0

2 years ago

Read 2 more answers

katrin [286]

Answer:

Water is not wet, it makes things wet.

5 0

2 years ago

Read 2 more answers

Find the rate of change on the graph

Zanzabum

Answer:

44 4/9

Step-by-step explanation:

Initial value is $400

Value after 9 years is zero

Change in value over 9 years is $400

<u>Rate of change is:</u>

400/9 = 44 4/9

6 0

2 years ago

Read 2 more answers