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IgorLugansk [536]
3 years ago
14

A freight train averages 20 miles per hour traveling to its destination with full cars and 30 miles per hour on the return trip

with empty cars. What is the train's average speed for the entire trip
Mathematics
1 answer:
Klio2033 [76]3 years ago
5 0

Answer:

24mph

Step-by-step explanation:

Let's say the distance between the destination is 10 miles. The train will reach the destination in 30 min for the first round and 20 min the second. Now, we can say, the train took 50 min to go 20 miles. Which is also 24mph. (5min=2miles)

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9 pencils cost $7.74.Which equation would help determine the cost of 6 pencils?
Dima020 [189]

Answer:

The equation is x= (7.74 /9) 6  

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

If 9 pencils cost $7.74, we have to divide the total cost ($7.74) by the number of pencils (9) to obtain the price of 1 pencil.

Now that we have the price of 1 pencil, to obtain the cost of 6 of them we simply multiply the result by six.

Mathematically speaking:

x= (7.74 /9) 6  

Where:

x = Cost of 6 pencils in $

Solving:

x = 0.86 x 6 = $5.16

8 0
3 years ago
Read 2 more answers
What is the answer to this math question 2 1/12-5 5/6
AleksandrR [38]

<em><u>The solution is:</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75

<em><u>Solution:</u></em>

We have to solve the given expression

<em><u>Given expression is:</u></em>

2\frac{1}{12} - 5\frac{5}{6}

<em><u>Let us first convert the mixed fraction to improper fraction</u></em>

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Thus we get,

2\frac{1}{12} = \frac{2 \times 12 + 1}{12} = \frac{25}{12}

5\frac{5}{6} = \frac{ 5 \times 6 +5}{6} = \frac{35}{6}

<em><u>Thus the given expression becomes,</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35}{6}

Make the denominators same for easier calculations

2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35 \times 2}{6 \times 2}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25-70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} =\frac{-45}{12}

<em><u>Reducing to lowest terms, we get</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4}

<em><u>In decimal form, we get</u></em>

\rightarrow \frac{-15}{4} = -3.75

<em><u>Thus the solution is:</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75

6 0
3 years ago
Vita has a piece of ribbon that is 5 meters long she cuts the ribbon into pieces that are each 1/3 meters long how many pieces d
aleksandr82 [10.1K]
5 divided by 1/3=5x3/1=15
3 0
3 years ago
Read 2 more answers
4325 X 32, 5492 X 44
frutty [35]

Step-by-step explanation:

4325 * 32 = 138,400

5492 * 44 = 241,648

I have provided work to show how you would complete these problems. The work will be found in the attachments below.

7 0
3 years ago
I need help on this please!!
Gwar [14]

Answer:

C

Step-by-step explanation:

Using the trigonometric identity

csc x = \frac{1}{sinx}

Given

sinΘ = - 0.4, then

cscΘ = \frac{1}{-0.4} = - 2.5 → C

3 0
3 years ago
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