Consider the system of equations: y=x-3 & 4x-10y=6. How many solutions does the system have? *

A rowing team rowed 90 miles while going with the current in the same amount of time as it took to row 10 miles going against th

pishuonlain [190]

Answer:

The speed in still water is 5 miles per hour.

Step-by-step explanation:

distance with current = 90 miles

distance against current = 10 miles

speed in still water = s

speed of current = 4 mph

speed with current = s + 4

speed against current = s - 4

time = t

speed = distance/time

distance = speed * time

With current:

90 = (s + 4) * t

Against the current:

10 = (s - 4) * t

We have a system of equations:

90 = (s + 4) * t

10 = (s - 4) * t

90 = ts + 4t

10 = ts - 4t

Subtract the second equation from the first equation.

80 = 8t

10 = t

t = 10

10 = t(s - 4)

10 = 10(s - 4)

1 = s - 4

s = 5

Answer: The speed in still water is 5 miles per hour.

8 0

2 years ago

Please help i don't even where to start solve for x

aliina [53]

The radius is 10, so the diameter is 20. This means the parts of the diameter (the chord through the center P) to the left and right of the vertical chord have lengths 16 and 4, respectively.

Because the horizontal chord is a diameter, the vertical chord is cut in half, so its parts above and below the diameter both have length x.

Now, by the intersecting chord theorem,

16×4 = x × x

or

x ² = 64

so that

x = 8

6 0

2 years ago

I was walking to the store at the same time as my friend Angela. No matter what, She has always gotten there twice as fast as me

atroni [7]

Let's call your speed "a"

her walking speed is then "2a"

and her friend's scooter speed is 10 a

let's also call the distance you need to walk "d"

so the time (t)you need is:

d/t=a
t=d/a

and her time is:
t= $\frac{d}{2} /2a+ \frac{d}{2} /10a$
(half a distance with the speed of 2a and half a distance (d/2) with the distance of 10 a

now we count (we know that her time is 30 minutes)

30= $\frac{d}{4a}+\frac{d}{20a}$ //multiply by 20a

600a= $5d+d$
600a=6d/divide by 6
100a=d

Now, in order to calculate your time we need to calculate:

t=d/a

but we know how much is d now!
t= $\frac{100a}{a}$ =100

which means that you need 100 minutes, or 1 h 40 minutes!!!

6 0

2 years ago

Danny had 20 minutes to do a three-problem quiz. He spent 9 1/4 minutes on question A and 5 4/5 minutes on question B. How much

Travka [436]

Answer:

4 19/20

Step-by-step explanation:

9 1/4 + 5 4/5 = 15 1/20

20- 15 1/20 = 4 19/20

6 0

2 years ago

HELP I NEED HELP ASAP

xenn [34]

I think is B

I added 12 on the ride

6 0

2 years ago

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