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Tresset [83]
2 years ago
9

A triathlete swims 3 km in 1 hr. Then bikes 50 km in 3 hrs. Finally, the triathlete runs

Mathematics
1 answer:
deff fn [24]2 years ago
6 0

Answer:Let $d$ be the length of one segment of the race.

Average speed is total distance divided by total time. The total distance is $3d$, and the total time is $\frac{d}{3}+\frac{d}{20}+\frac{d}{10}=\frac{29d}{60}$.

Thus, the average speed is $3d\div\left(\frac{29d}{60}\right)=\frac{180}{29}$. This is closest to $6$, so the answer is $\mathrm{(D)}$

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Olivia decides to hire an electrician. The electrician charges $35 to come out to Olivia's
atroni [7]

Answer:

Step-by-step explanation:

Total cost

C (x) = 35+ 60x

Where,

Fixed cost= $35

Variable cost = 60x

x= number of hours of work

Total cost is the addition of fixed and variable cost

C (x) = 35+ 60x

C(5)= 35 + 60(5)

= 35 + 300

=335

C(5) = 335

C(5) = 335 is Olivia's total cost of hiring the electrician

x=5 is the electrician's number of hours of work

35= fixed cost of hiring the electrician

60(5) = 300 is the variable cost of hiring the electrician for 5 hours

5 0
2 years ago
Convert 16/20 into a percentage
Kazeer [188]

Answer:

80%

Step-by-step explanation:

Percent means out of 100

We need a denominator out of 100

16/20 *5/5 = 80/100

The percent is 80%

4 0
3 years ago
Read 2 more answers
−2x−(−5−4x)=−5(2x−7)
hoa [83]

Answer:

<em>x = 2.5</em>

Step-by-step explanation:

- 2x - ( - 5 - 4x ) =  - 5 ( 2x - 7 )

- 2x + 5 + 4x = - 10x + 35

- 2x + 5 + 4x = - 10x + 35

- 2x + 4x + 10x = 35 - 5

12x = 30

<em>x = </em>\frac{5}{2}<em> = 2.5</em>

Check the answer:

<em>L.H.S.</em> = - 2(2.5) - [ - 5 - 4(2.5) ] = <em>10</em>

<em>R.H.S.</em> = - 5 [ 2(2.5) - 7 ] = <em>10</em>

6 0
2 years ago
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Step2247 [10]
C i believe because 180 is the overall degree and 50+28=78 and 180-78=102
7 0
3 years ago
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A boy stands 12 metres from the foot of the building and observes the angle of elevation of the top of the building. The height
nikitadnepr [17]

Answer:

What!!

Step-by-step explanation:

4 0
2 years ago
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