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Mars2501 [29]
2 years ago
5

Karson drove from his house to work at an average speed of 35 miles per hour.  The drive took him 20 minutes.  If the drive took

him 25 minutes and he used the same route in reverse, what was his average speed going home. (Hint: inversely proportional)​
Mathematics
1 answer:
Nastasia [14]2 years ago
3 0

Answer:

Karson's average speed on his way home was 28 miles per hour.

Step-by-step explanation:

Since Karson drove from his house to work at an average speed of 35 miles per hour, and the drive took him 20 minutes, if the drive took him 25 minutes and he used the same route in reverse, to determine what was his average speed going home, the following calculation must be performed:

60 = 35

20 = X

20 x 35/60 = X

700/60 = X

11.666 = X

25 = 11,666

60 = X

60 x 11.666 / 25 = X

27.99 = X

Therefore, Karson's average speed on his way home was 28 miles per hour.

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9) Simplify 5^12 ÷ 5^3 A. 5^4 B. 5^9 C. 1^4 D. 1^9
Mashcka [7]
When you divide powers, you subtract them.

12-3=9

B. 5^9 is the answer.

I hope this helps!
~kaikers
5 0
2 years ago
You deal a pile of cards, face down, from a standard 52-card deck. What is the least number of cards the pile must have before y
Simora [160]

Answer:

we need at least 17 - card deck

Step-by-step explanation:

From the information given :

We can attempt to solve the question by using pigeonhole principle;

"The pigeonhole principle posits that if more than n pigeons are placed into n pigeonholes some pigeonhole must contain more than one pigeon"

Thus; the minimum number of pigeon; let say at least n pigeons sit on at least one same hole among m hole can be represented by the formula:

m(  n - 1 ) + 1

where ;

pigeons are synonymous to card

pigeonholes  are synonymous to suits

So; m = 4 ; n = 5

∴  4 (5 -1 ) + 1 ⇒ 4 (4) + 1

= 16 + 1

= 17

Hence; we need at least 17 - card deck

8 0
3 years ago
luna has $50 when she got to the carnival. after 12 rides, she had $26. what was the price of each ride?
stellarik [79]

Answer:

<h2>$2</h2>

Step-by-step explanation:

Lets see how much money she spent first.

$50 - $26 = $24

Now that we know she spent $24 we can divide 24 by twelve which will tell us how much each ride costs

24 / 12 = 2

She spent $2 on each ride

8 0
3 years ago
Read 2 more answers
The scale of the map is missing.The actual distance from liberty to west quall is 72 miles, and it is 6 inches on the map
krek1111 [17]
72 miles ... 6 inches
x miles = ? ... 1 inch

If you would like to know the scale of the map, you can calculate this using the following steps:

72 * 1 = 6 * x
72 = 6 * x     /6
x = 72 / 6
x = 12 miles

Result: 12 miles represent 1 inch on the map.
4 0
3 years ago
Read 2 more answers
Could anyone give me the answer to this question?
love history [14]

Answer:

36

Step-by-step explanation:

\angle AOC is made up of s + r, and since r is \frac{3}{5} of \angle AOC we know r must be the remaining \frac{2}{5} of \angle AOC.

We can solve for \angle AOC by using this equation:

\frac{2}{5}\angle AOC = 24\\(\frac{2}{5}\angle AOC)\frac{5}{2} = (24)\frac{5}{2}\\ \boxed{\angle AOC = 60}

1. 2 fifths of  \angle AOC is 24

2. multiply both sides by \frac{5}{2} to isolate \angle AOC

3. \angle AOC is 60°

We can now solve for r

r = \frac{3}{5}\angle AOC\\r = \frac{3}{5}(60)\\\boxed{r = 36}

1. the equation the problem gave us

2. substitute \angle AOC for 60 (we solved for it before)

3. r is 36°

4 0
2 years ago
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