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n200080 [17]
3 years ago
8

Rebecca ran 21 miles in 5 hours. If she ran at a constant speed, how many miles did she run in 2 hours? 8.4 miles 42 miles 4.2 m

iles 1.2 miles
Mathematics
1 answer:
Sholpan [36]3 years ago
6 0

Answer: 8.4 miles

Step-by-step explanation:

d = rt

Solve for her rate

21 = 5r

r = 21/5

r = 4.2

Solve for if the time is 2 hours and rate (solved previously) is 4.2

d = 4.2*2

d = 8.4

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|  \
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Envision this as a right triangle, with one leg of 12 miles, and the other 16 miles. Solve using the Pythagorean Theorem a²+b²=c²:

12²+16²=c²
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3 years ago
Evaluate (distributive property)
OLEGan [10]

Answer:

Step-by-step explanation:

If A, B and C are integers, according to distributive property;

A(B+C) = AB+AB

A is distributed over B and C

Given

9×6 = 5 sixes +4 sixes

5 sixes = 5(6) =30

4 sixes = 4(6) =24

9×6 = 5(6)+4(6)

9×6 = 30+24

9×6 = 54

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3 0
3 years ago
Two sides of a triangle measure 27 inches and 32 inches. Which could represent the length of the third side?
charle [14.2K]

Answer:

Step-by-step explanation:

The third side could have dimension x

32 - 27 < x < 32 + 27

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There are a few special triangles

Equilateral triangle could have legs

27, 32, <u>27</u>

or

32, 27,<u> 32</u>

A right triangle could have the third side

√(27² + 32²) = <u>√1753</u> which is about<u> 41.87</u>

or

√(32² - 27²) = <u>√295</u> which is about <u>17.18</u>

Notice all these fit within the original limits specified.

3 0
2 years ago
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Points of inflections are zeroes of the second derivative. We have:

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f''(x)=0\iff 6x-12=0 \iff 6x=12 \iff x=2

So, this is the only point of inflection of this function.

5 0
3 years ago
the length of a boat is 10.8 m Boris buys a scale model of the boat the scale of the model is 1 to 18 work out the length of the
Wittaler [7]

Answer:

The size of the scale model is 60 centimeters.

Step-by-step explanation:

Given that the length of a boat is 10.8 m, and Boris buys a scale model of the boat whose ratio is 1 to 18, to determine the length of the scale model of the boat in centimeters the following calculation must be performed:

1m = 100cm

10.8 m = (10.8 x 100) = 1080 cm

1080/18 = X

60 = X

Therefore, the size of the scale model is 60 centimeters.

4 0
3 years ago
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