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3 years ago

Rachael walked 214 miles in 15 minutes, and Julie walked 334 miles in 25 minutes. Could you tell me who is faster, please?

Mathematics

1 answer:

katrin [286]3 years ago

5 0

Answer:

Rachael is faster.

you can tell by finding the unit amount.

Step-by-step explanation:

I can tell by finding the unit amount. (miles per minute)

Rachael:

214/15 = 14.2666666667 or about 14.27

Julie:

334/25 = 13.36 miles per minute.

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Enter the value, as a mixed number in simplest form, in the box. |2 1/3| = ?

Fittoniya [83]

Unclear of the question, but the value is already as a mixed fraction. The value of absolute value is just the distance from zero. So, |-4|=4 or |6|=6
$|2 \frac{1}{3} | = 2 \frac{1}{3}$

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3 years ago

State the restrictions, if any.<br> F(x)= x/x2-81

Crazy boy [7]

Answer:

f=1/x^2-81

Step-by-step explanation:

Step 1: Multiply both sides by x^2-81.

fx3−81fx=x

Step 2: Factor out variable f.

f(x3−81x)=x

Step 3: Divide both sides by x^3-81x.

f(x3−81x)

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3 years ago

3. Let X = {0,1,2,3,4,5)

erica [24]

Answer:

Answer for A

Step-by-step explanation:

I don't know about B , Sorry for that.

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3 years ago

Read 2 more answers

A riverboat travels 54 km downstream in 2 hours. It travels 57 km upstream in 3 hours. Find the speed of the boat and the speed

irakobra [83]

Here we must write and solve a system of equations to find the speed of the boat and the speed of the stream. We will find that the boat's speed is 23km/h and the river's speed is 4km/h.

First, remember the relation:

Distance = Speed*Time.

Now let's define the variables we will be using:

B = boat's speed
R = river's speed.

When the boat travels downstream, the total speed of the boat is the speed of the boat plus the speed of the river, and we know that in that case it travels 54km in 2 hours, then:

54km = (B + R)*2h

When the boat travels upstream, we must subtract the speed of the river. In that case, we know that the boat travels 57km in 3 hours, then we have:

57km = (B - R)*3h

Then our system of equations is:

54km = (B + R)*2h

57km = (B - R)*3h

To solve this, first, we need to isolate one of the variables in one of the equations, let's isolate B in the second one:

57km = (B - R)*3h

57km/3h + R = B

19 km/h + R = B

Now we can replace that in the other equation:

54km = (B + R)*2h

54km/2h = B + R

27 km/h = B + R = (19 km/h + R) + R

Now we can solve this for R:

27 km/h = 19km/h + 2*R

27 km/h - 19km/h = 2*R

8 km/h = 2*R

(8km/h)/2 = 4km/h = R

Now that we know the value of R, we can use:

B = 19 km/h + R = 19 km/h + 4km/h = 23 km/h

So the boat's speed is 23km/h and the river's speed is 4km/h.

If you want to learn more, you can read:

brainly.com/question/12895249

5 0

3 years ago

PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!

Paraphin [41]

the overhead, fixed costs, is $1000.

the variable cost is $200, so if she sells "x" tiles, then her costs is 200*x or 200x.

total costs then will just be C(x) = 200x + 1000.

namely both costs added together.

Revenue is just how much it's been taken in from the sales, since each tile is selling for $240, then the revenue is simply 240*x or just R(x) = 240x.

break even point is when those two guys equal each other

$\bf \stackrel{R(x)}{240x}=\stackrel{C(x)}{200x+1000}\implies 40x=1000\implies x=\cfrac{1000}{40}\implies x=25$

what if the cost for each tile were $220, 20 bucks more?

$\bf \stackrel{R(x)}{240x}=\stackrel{C(x)}{220x+1000}\implies 20x=1000\implies x=\cfrac{1000}{20}\implies x=50$

well, if the cost for each tile is $200, her break-even point is at 25 units, namely once she has sold 25 tiles, she's has lost nothing, has won nothing either, but hasn't lost anything.

if the cost is however $220 instead, her break-even point comes much later, at 50 units, so she'll have to sell more tiles in order to not have any losses, so she's worse off if the cost is more or course.

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3 years ago