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andrezito [222]
3 years ago
12

Keith ran in a marathon. It took him 3 hours and 2 minutes to run 26 miles. If he ran at the same rate for the whole race, how m

any minutes did it take him to run each mile? (1 hour = 60 minutes)
A.) 6 minutes


B.) 7 minutes


C.) 8 minutes


D.) 9 minutes
Mathematics
1 answer:
Lynna [10]3 years ago
5 0
Distance Keith ran = 26 miles

Time it took
= 3 hours 2 minutes = [(3 * 60) + 2] minutes = (180 + 2) minutes = 182 minutes

Hence, 

Speed (Rate) = \frac{Distance}{Time} =  \frac{26}{182} =  \frac{13}{91} =  \frac{1}{7} miles per minute

Hence,

Time taken to complete 1 mile
= \frac{Distance}{Speed} =  \frac{1}{ \frac{1}{7} } = 1 *  \frac{7}{1}
= 7 minutes 

Hence, the answer is B.
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A woman rides a bicycle for 1 hour and travels 12 kilometers. Find the angular velocity of the wheel if the radius
Korolek [52]

14.81 radians/second

Step-by-step explanation:

3 0
3 years ago
Halim makes a profit of 120% on his cost price by selling a pair of shoes of $45. i) Find the cost pricer of the pair of shoes i
Rus_ich [418]

Answer:

a. $20.45

b. $24.55

c. $4.55

Step-by-step explanation:

In this question, we are asked to calculate the cost price and profit or loss selling a pair of shoes.

we proceed as follows

Firstly, we want to find the cost price given the selling price and the mark up percentage.

mathematically;

profit =( selling price - cost price)/cost price * 100%

here our profit is 120% with the cost price being $45. we plug these values

120 = 45-cp/cp * 100%

120cp = 100(45-cp)

120cp = 4500 -100cp

220cp = 4500

cp = 4500/220 = $20.45

His profit is selling price - cost price = 45 - 20.45 = $24.55

His profit selling same shoe for $25 is 25-20.45 = $4.55

4 0
3 years ago
Read 2 more answers
Mohamed and Li Jing were asked to find an explicit formula for the sequence -5, -25, -125, -625,....
Nuetrik [128]

Answer:

Li Jing's formula i.e.  \boxed{g_n=-5\cdot \:5^{n-1}}  is right.

Step-by-step explanation:

Considering the sequence

-5,\:-25,\:-125,\:-625,...

A geometric sequence has a constant ratio r and is defined by

g_n=g_0\cdot r^{n-1}

\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{g_{n+1}}{g_n}

\frac{-25}{-5}=5,\:\quad \frac{-125}{-25}=5,\:\quad \frac{-625}{-125}=5

\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}

r=5

So, the sequence is geometric.

as

\mathrm{The\:first\:element\:of\:the\:sequence\:is}

g_1=-5

r=5

so

g_n=g_1\cdot r^{n-1}

\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:

g_n=-5\cdot \:5^{n-1}

Therefore, Li Jing's formula i.e.  \boxed{g_n=-5\cdot \:5^{n-1}}  is right.

8 0
4 years ago
Which three lengths could be the lengths of the sides of a triangle?
faust18 [17]
B. 10 cm, 15 cm, 24 cm
8 0
3 years ago
Pls help 4 100 points in geometry i will giv brainliest
dmitriy555 [2]

Answer:

a = 35

c = 85

Step-by-step explanation:

85 + 60 + a = 180 as they are all supplementary angles (together they form an angle of 180°)

therefore a = 35.

a + ( 180 -(a+85)) + c =180 (as the angles of a triangle add up to 180°. our triangle is NMT, the angles are a, c and 180°-(a+85°) for a theorem about lines secant to parallel lines)

therefore c = 85

7 0
2 years ago
Read 2 more answers
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