All categories

2 years ago

Scott trained for the marathon.

Mathematics

1 answer:

slamgirl [31]2 years ago

6 0

Answer:

See below

Step-by-step explanation:

Day 1

70 min for 10 km
Rate = 70/10 = 7 min/km

Day 10

2h40 min for 20 km
2*60+40 = 160 min for 20 km
Rate = 160/20 = 8 min/km

Day 20

4 h 15 min for 30 km
4*60 + 15 = 255 min for 30 km
Rate = 255/30 = 8.5 min / km

From the rate change we see:

1 min increase when the distance increases from 10 km to 20 km
0.5 min increase when distance increases from 20 km to 30 km

So we see 1 min increase per twice the distance increase

With the same rate increase we can expect 1 min increase from 20 km to 40 km, which gives us the rate of 9 min/km
With same logic we get 9.055 km/min rate for 44 km distance

Total time it takes:

9.055*44 = 398.42 min = 398.42*1/60 min = 6 h and 38.42 min

You might be interested in

Could someone help please

pogonyaev

Answer:

3.5 m/s

Step-by-step explanation

Remove brackets

d = t^2 + 0.2t + 3.3t + .66

Combine

d = t^2 + 3.5t + .66

The initial velocity is 3.5

3 0

2 years ago

A scientist wishes to estimate the mean breaking strength of a certain type of steel rod within 3.0 psi with 95% confidence. Bas

yaroslaw [1]

Answer:97 rods

Step-by-step explanation:

The number of steel rods for 95% confidence level

$n=\left ( \frac{Z_\frac{\alpha }{2}\times \hat{\sigma }}{E} \right )^2$

$Z_\frac{\alpha }{2}=1.96$

E=3

$\hat{\sigma }=15$

Substituting values

$n=\left ( \frac{1.96\times 15}{3}\right )^2$

$n=96.04\approx 97$

Thus 97 rods is tested

6 0

3 years ago

A flea treatment last 4 weeks. Jim's dog had to be treated every 3 weeks. How many weeks of flea treatment would Jim's dog get i

Reptile [31]

Answer:

Number of weeks in a year = 52 weeks

If in a normal year when each package of flea treatment lasts for 4 weeks, then in a year there Jim's dog will have to be treated for

Where as, when the fleas are bad in a year, the treatment lasts for only 3 weeks.

Then in a year Jim's dog would get

So Jim's dog will get 17- 13 =4 treatments more.

4 treatments that are made in 3 weeks each will be 4×3 =12 weeks more treatment

6 0

3 years ago

√70 is ________________________ because _________________________ . Choose the best response to fill in the blanks above

snow_tiger [21]

Answer:

$\sqrt{70}$ is Rational because it's a non-perfect square

4 0

2 years ago

Need help with the two questions please:)

____ [38]

The decimal form is x=1.2 and the mixed number is x= 1 1/5

4 0

2 years ago

Read 2 more answers