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yuradex [85]
3 years ago
6

Nathan participated in a 5k race. He walked 1/4 of the way , jogged 3/5 of the way , and run 3/20 of the way

Mathematics
1 answer:
marishachu [46]3 years ago
4 0

Answer:

4.25 km (See Below)

Step-by-step explanation:

<em>The question is:</em>

<em>How many kilometers did Nathan walk and jog?</em>

<u>Solution:</u>

He walked 1/4th of 5 kilometer race

He jogged 3/5th of 5 kilometers race

Rest, he ran.

We need total km he ran and jog. That is (1/4) + (3/5)th:

\frac{1}{4}+\frac{3}{5}=\frac{5+3(4)}{20}=\frac{17}{20}

So, we find 17/20th of 5, which is:

\frac{17}{20}*5=4.25

So, Nathan walked and jogged 4.25 km of the race.

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Explain why it's possible to draw more than two different rectangles with an area of 36 square units but if not possible draw mo
gavmur [86]
The area of a rectangle is the result of multiplying its length times its width. So the rectangles length and width are factor pairs of the area.

The number 36 has four non-equal, whole number factor pairs: (1,36) ; (2,18) ; (3,13) ; (4,9)

*note : (6,6) makes a square not rectangle

The number 15 has only two whole number factor pairs (1,15) and (3,5)
8 0
3 years ago
PLEASE ANSWER FAST THIS IS DUE IN 10 MINUTES
Elena-2011 [213]

The expressions that are equal to 61 are

  • |−61|
  • The distance from zero to −61
  • −(−61)
  • The opposite of −61

<h3>How to determine the expressions?</h3>

The value of the expression is given as:

Value = 61

Next, we evaluate the options:

<u>Option 1: |−61| </u>

The expression is given as:

Expression = |-61|

Remove the absolute sign

Expression = 61

Hence, |-61| equals 61

<u>Option 2: The distance from zero to −61 </u>

This is represented as:

Distance = |-61 - 0|

Evaluate the difference

Distance = |-61|

Remove the absolute sign

Distance = 61

Hence, the distance from zero to −61 is 61

<u>Option 3: The opposite of 61 </u>

The opposite of 61 is represented as:

Opposite = -(61)

Evaluate

Opposite = -61

Hence, the opposite of 61 is -61

<u>Option 4:−(−61) </u>

The expression is given as:

Expression = -(-61)

Remove the bracket

Expression = 61

Hence, -(-61) equals 61

<u>Option 5: the opposite of −61</u>

The opposite of -61 is represented as:

Opposite = -(-61)

Evaluate

Opposite = 61

Hence, the opposite of -61 is 61

<u>Option 6: −|−61| </u>

The expression is given as:

Expression = -|-61|

Remove the absolute sign

Expression = -61

Hence, -|-61| equals -61

<u>Option 6: −|61| </u>

The expression is given as:

Expression = -|61|

Remove the absolute sign

Expression = -61

Hence, -|61| equals -61

Read more about expressions at:

brainly.com/question/723406

#SPJ1

7 0
2 years ago
Groups of adults are randomly selected and arranged in groups of three. The random variable x is the number in the group who say
Vera_Pavlovna [14]

Answer:

0.789

Step-by-step explanation:

First, find the expected value (the mean).

μ = ∑ x P(x)

μ = (0) (0.359) + (1) (0.436) + (2) (0.180) + (3) (0.025)

μ = 0.871

Next, find the variance.

σ² = ∑(x − μ)² P(x)

σ² = (0 − 0.871)² (0.359) + (1 − 0.871)² (0.436) + (2 − 0.871)² (0.180) + (3 − 0.871)² (0.025)

σ² = 0.622

Finally, find the standard deviation:

σ = √0.622

σ = 0.789

8 0
3 years ago
Answers for the 2 boxes please :)​
Leno4ka [110]

Answer:

<h2>( 2 , 1 )</h2>

Step-by-step explanation:

2x - 2y = 2

<u>5</u><u>x</u><u> </u><u>+</u><u> </u><u>2</u><u>y</u><u> </u><u>=</u><u> </u><u>1</u><u>2</u>

7x = 14

<h3> x = 2</h3>

(2x - 2y = 2)-5

<u>(5x + 2y = 12)</u><u>2</u>

-10x + 10y = -10

<u> 10x + 4y = 24</u>

14y = 14

<h3> y = 1</h3>

x = 2

y = 1

(2,1)

5 0
3 years ago
A watch sells for $65. This week, it's on sale for $42.25. What is the percent of the discount?
Virty [35]

Answer:

35% off

65-42.25 = 22.75/65 = 0.35 = 35%

4 0
3 years ago
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