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natita [175]
3 years ago
14

Nicole drove six miles to Megan's house at thirty-seven mph. She then drove seventeen miles to Sarah's house. For the entire tri

p, Nicole averaged a speed of 43 231/905 mph. What was her average speed driving from Megan's to Sarah's house?
Mathematics
1 answer:
DedPeter [7]3 years ago
3 0
Speed = distance / time . . . . . . . . easy to remember: speed is usually miles/hour

43 231/905 = (6 +17)/((6/37 +t) . . . . t is the travel time from Megan's to Sarah's
6/37 +t = 23/(43 231/905) = 905/1702
t = 905/1702 -6/37 = 17/46

The average speed for the trip from Megan's to Sarah's was (17 mi)/(17/46 h) = 46 mi/h.
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Sarah bought 3 pairs of joggers and a pair of tennis shoes. The tennis shoes cost $105. The total cost of her purchase was $180.
Zielflug [23.3K]

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Answer:

$25.00

Step-by-step explanation:

180.00-105.00=75

75.OO DIVIDED 3= $25.00

5 0
3 years ago
Factor x2 + 29x + 120
CaHeK987 [17]

Answer:

(x+5)(x+24)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How many 1/8 teaspoons are equal to 4 3/4 teaspoons?
Vinvika [58]

1. Convert fraction into same decimal.

To find this answer, we want to first convert the fraction so that the denominators are the same:

3/4 = ?/8

Divide the original denominator by the needed-to-be denominator.

8 / 4 = 2

Do reversal calculations

4 x 2 = 8

So, now that we know to multiply the original denominator by 2 to get the new denominator, multiple the numeriator by the same.

3           6

_  x 2 = _

4           8

So now, the new equation is:

How many 1/8 teaspoons are equal to 4 6/8 teaspoons.

(The reason why you must convert is because then you can simply say that the fraction is 6 1/8's, which means you just have to worry about the whole numbers.

2. Convert the whole numbers into a fraction to make it easier.

In order to convert whole numbers into fractions, first find the denominator your using. Which in this case, it is 8.

?/8

Now remember, for it to be a whole number, the numeriator and denominator MUST be the same.

8/8 = 1

Now remember, there are four 1's. Multiply the numeriator by 4, but keep the denominator the same or else the equation is ruined.

32/8 = 4

3. Add all your information together.

DO NOT forget to add the information you collected during the equation, or else you will get a wrong answer. Add the equation's final answer to the whole numbers final answer.

32 / 8 + 6 / 8 = ?

32 / 8 + 6 / 8 = 38 / 8

Well now, remember something. It is asking us, how many 1/8's were in the equation 4 3/4. We have transformed 4 3/4 into a whole equation, 38/8.

Now, all you need to do is look at the numeriator.

What number do you see?

You see 38.

The denominator is the correct denominator that you need. So, the number of the numeriator is the answer to the equation.

So, how many 1/8 are in 38/8?

38!

5 0
4 years ago
A shop has one-pound bags of peanuts for $2 and three-pound bags of peanuts for $5.50. If you buy 8 bags and spend $37, how many
Andrew [12]

Answer:

  • 6 3-lb bags
  • 2 1-lb bags

Step-by-step explanation:

Let x represent the number of 3-lb bags purchased. Then the total purchase was ...

  $2(8 -x) +$5.50(x) = $37

  16 +3.50x = 37 . . . . . . . . . divide by $, collect terms

  3.50x = 21 . . . . . . . . . . . . . subtract 16

  21/3.50 = x = 6 . . . . . . . . divide by the coefficient of x

You bought 6 3-lb bags of peanuts and 2 1-lb bags.

4 0
4 years ago
Kendra has $ 7.75 $7.75 in nickels and quarters. if she has 13 13 more quarters than nickels, how many of each coin does she hav
Ludmilka [50]
Total of $7.75
13 more quarters than nickels

15 nickels = $0.75
28 quarters = $7.00

28 - 15 = 13 coins
$7.00 + $0.75 = $7.75


She has 15 nickels and 28 quarters.
7 0
3 years ago
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