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Tresset [83]
3 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]3 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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A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points. How many problems of eac
Natasha_Volkova [10]
Let x be the number of 5 points question.
Let y be the number of 2 points question.

Total number of questions is 38
x + y = 38 

Total points is 100
5x + 2y = 100

x + y = 38 ------------- (1)
5x + 2y = 100 ---------(2)

From (1):
x + y = 38
x = 38 - y -------------- sub into (2)
5(38 - y) + 2y = 100
190 - 5y + 2y = 100
3y = 90
y = 30 ------------------ sub into (1)
x + 30 = 38
x = 38 - 30
x = 8

There are 8 5-point questions and 30 2-point questions
5 0
3 years ago
Read 2 more answers
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STatiana [176]
Name three quaderlateral that only sometimes have right angle
Rhombus, trapezoid, and parallelogram
3 0
3 years ago
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Noah's brother sells cars and earns 4.5% commission. He sold a truck for $62,000. How much commission will his brother earn?
MA_775_DIABLO [31]

Answer:

the commission earn by his brother is $2,790

Step-by-step explanation:

The computation of the commission earn by his brother is as follows

= Selling price of the truck × commission percentage

= $62,000 × 4.5%

= $2,790

Hence, the commission earn by his brother is $2,790

We simply applied the above formula so that the correct value could come

And, the same is to be considered

8 0
3 years ago
Suzi starts her hike at 200 feet below sea level. When she reaches the end of the hike, she is still below sea level at −163 fee
Phantasy [73]

Answer:

Suzi's elevation in the hike is 37 feet.

Step-by-step explanation:

We are given the following in the question:

Position of Suzi in the starting of hike = 200 feet below sea level

= -200 feet

The negative sign shows below sea level.

Position of Suzi in the end of hike  = -163 feet

Change in elevation from the beginning of Suzi's hike to the end of the hike

= Position of Suzi in the end of hike - Position of Suzi in the starting of hike

=-163 - (-200)\\=-163 + 200\\=37\text{ feet}

Thus, Suzi's elevation in the hike is 37 feet.

6 0
3 years ago
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Korvikt [17]

Since one watermelon seed is 0.4 long, you can multiply 0.4 by 112

0.4 x 112 = 44.8

So it will be 44.8 long

8 0
3 years ago
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