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Ludmilka [50]
2 years ago
6

Alyssa takes part in the triathlon. She cycles 4/5 of the route, runs 7/8 of the route, and swims the rest of the way. She swims

0.9 miles. Find the total distance of the triathlon route.
Mathematics
1 answer:
hjlf2 years ago
3 0

Answer:

12 miles

Step-by-step explanation:

Alyssa takes part in the triathlon. She cycles 4/5 of the route, runs 1/8 of the route, and swims the rest of the way. She swims 0.9 miles. Find the total distance of the triathlon route.

Total distance Alyssa cycled and ran =

\frac{4}{5} + \frac{1}{8}

\frac{32 + 5}{40} = \frac{37}{40}

Distance she swam =  1 - 37/40 = 3/40

3/40 of the distance is 0.9

the total distance = 40/3 x 0.9 = 12 miles

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you ordered a laptop from a company in alaska. The laptop costs $150. they charge you 15% off the cost of the laptop to ship it.
monitta

Answer:

$127.5

Step-by-step explanation:

150*15%=22.5.

150-22.5=127.5

Don't buy this, totally not worth it.

8 0
2 years ago
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I need some help:
dedylja [7]

The unit rate is another way of saying speed, so we divide the distance over the time. We can pick on any row

If we pick row 1, then, speed = distance/time = 90/2 = 45

Row 2 says the same thing: 135/3 = 45

So does row 3: 225/5 = 45

and so on

Because the speed is 45 mph, the unit rate is 45 miles in one hour. The term "unit" implies how much distance can be covered in one unit of time, in this case 1 hour.

You have the correct answer. Nice work.

6 0
3 years ago
Can someone please help me. I’m not quite understanding this problem
VashaNatasha [74]

Answer:

A=3

B=8

C=2

D=5

Step-by-step explanation:

hope this helps

4 0
3 years ago
Read 2 more answers
Graph a direct variation function that goes through the point (-2, -6). what is the slope
Effectus [21]

Answer:

The slope is 3.

Step-by-step explanation:

A direct variation function will always go through the origin point (0, 0).

Therefore, we have the two points (0, 0) and (-2, -6).

We can use the slope formula to find the slope:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Substitute and evaluate:

\displaystyle m=\frac{0-(-6)}{0-(-2)}=\frac{6}{2}=3

Therefore, the slope of the function is 3.

To graph, simply plot (0, 0) and (-2, -6) and draw a line connecting them. This is shown below.

6 0
2 years ago
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The concentration of a drug in the bloodstream C(t) at any time t, in hours, is described by the equationC(t)=100t/t^2+25where t
alisha [4.7K]

Answer:

It will take 5 hours until it reaches its maximum concentration.

Step-by-step explanation:

The maximum concentration will happen in t hours. t is found when

C'(t) = 0

In this problem

C(t) = \frac{100t}{t^{2} + 25}

Applying the quotient derivative formula

C'(t) = \frac{(100t)'(t^{2} + 25) - (t^{2} + 25)'(100t)}{(t^{2} + 25)^{2}}

C'(t) = \frac{100t^{2} + 2500 - 200t^{2}}{(t^{2} + 25)^{2}}

C'(t) = \frac{-100t^{2} + 2500}{(t^{2} + 25)^{2}}

A fraction is equal to zero when the numerator is 0. So

-100t^{2} + 2500 = 0

100t^{2} = 2500

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t = \pm \sqrt{25}

t = \pm 5

We use only positive value.

It will take 5 hours until it reaches its maximum concentration.

4 0
3 years ago
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