What does x equal ?<br> quick answer!!!

A ferry departs from a port along the Sands River at 10:00 am. The ferry travels at a speed of 15 mph in still water and returns

jek_recluse [69]

Answer:

Speed of river's current = 5 mph

Step-by-step explanation:

Let 'd' be the distance covered

Let x be the speed of the rivers current

Speed upstream = 15-x

speed downstream = 15+x

Time = distance / speed

time upstream = $\frac{d}{15-x}$

time downstream = $\frac{d}{15+x}$

the ferry trip upstream takes twice as long as its return trip downstream

$\frac{d}{15-x}$ = $\frac{2d}{15+x}$

divide both sides by d

$\frac{1}{15-x}$ = $\frac{2}{15+x}$

cross multiply

$15+x= 2(15-x)$

$15+x= 30-2x$

Add 2x on both sideds

$15+3x= 30$

subtract 15 from both sides and divide by 3

$3x=15$

x=5

Speed of river's current = 5 mph

8 0

3 years ago

Please please please help me thanks

goldfiish [28.3K]

Answer:

1. 57 2. 81

Step-by-step explanation:

71x2=142 256-142=114/2= 57

5103/63= 81

5 0

2 years ago

A two-digit locker combination is made up of non-zero digits and no digit is repeated in any combination.

kondor19780726 [428]

Answer:

it's C) 1/18

hope this helps

5 0

2 years ago

I need help plz show all work

Gnom [1K]

Step-by-step explanation:

2a)

Budget : 6950$

Transportation:

6950 x 0.06

= $417

Savings:

6950 x 0.1

= $695

Food:

6950 x 0.2

= $1390

Cable/Phone:

6950 x 0.05

= $347.5

Others:

6950 x 0.09

= $625.5

Mortgage:

6950 x 0.25

= $1737.5

Clothing:

6950 x 0.15

= $1042.5

2b)

9% x 0.25

= 2.25%

8 0

2 years ago

Rewrite f(x) = sin(x) if The function of scratch vertically by a factor of 5

adoni [48]

let's not scratch sin(x), she may not like it anyway, but let's do some stretching by checking this template

$\bf ~~~~~~~~~~~~\textit{function transformations} \\\\\\ f(x)=Asin(Bx+C)+D \\\\ f(x)=Acos(Bx+C)+D\\\\ f(x)=Atan(Bx+C)+D \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \bullet \textit{ stretches or shrinks}\\ ~~~~~~\textit{horizontally by amplitude } A\cdot B\\\\ \bullet \textit{ flips it upside-down if }A\textit{ is negative}\\ ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }B\textit{ is negative}\\ ~~~~~~\textit{reflection over the y-axis}$

$\bf \bullet \textit{ horizontal shift by }\frac{C}{B}\\ ~~~~~~if\ \frac{C}{B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{C}{B}\textit{ is positive, to the left}\\\\ \bullet \textit{vertical shift by }D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{function period or frequency}\\ ~~~~~~\frac{2\pi }{B}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\ ~~~~~~\frac{\pi }{B}\ for\ tan(\theta),\ cot(\theta)$

A = 1/5, so then .......... $\bf g(x)=\cfrac{1}{5}sin(x)$

7 0

3 years ago

What does x equal ? quick answer!!!