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yKpoI14uk [10]
3 years ago
8

Identify as a direct variation, inverse variation or neither. The number of tons of coal burned by an old coal burning locomotiv

e under given conditions varies as the number of hours.
Mathematics
1 answer:
pochemuha3 years ago
5 0
Answer: it is a direct variation.

Justification:

In a direct variation the variables are related by a proportionality constant in this way:

y = k x

Tthan means that the value of y is always the product of a constant times the value of x.

The situation discribed for the coal may be written as:
number of tons of coal burned: c

number of hours: h

⇒ c = k × h

Which is that you can calcualte the number of tons of coal burned at any time, once you know the proportionality constant k.




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Make a conjecture about the next item in the sequence. 6, 9, 7, 10, 8?
inessss [21]

Answer:

"The next term should be 11"

Step-by-step explanation:

If we look closely at the sequence we can see:

second term is 3 more than previous

third term is 2 less than previous

fourth term is 3 more than previous

fifth term is 2 less than previous

We can see a pattern. To get next terms, we add 3, to get next to that, we subtract 2. It goes on like this.

Since 4th term to 5th term is "subtracting 2", logically 5th to 6th term (the term we are wanting) should be "add 3". So the term after 8 would be 11

The next term would be 11

5 0
3 years ago
The image below is a kite. Find the value of x.
polet [3.4K]

Answer:

x=55.5

Step-by-step explanation:

2x=111

Isolate x by dividing both sides by 111

x=55.5

4 0
2 years ago
How do you solve age word problems
Anna71 [15]
These videos might help you

https://www.khanacademy.org/math/algebra/systems-of-linear-equations/systems-of-linear-equations-wor...

5 0
3 years ago
sixteen dictionaries weigh 11.52 pounds all together. each dictionary has the same weight in pounds,how much does one dictionary
iogann1982 [59]

Answer:

1.92 Pounds per dictionary


Step-by-step explanation:

Since 6 dictionaries weigh 11.52 pounds, and each of the dictionaries weigh the same, this is a simple division problem.

11.52/6=1.92


3 0
3 years ago
What is 10/8 in simplest form
aliya0001 [1]
10/8 in simplest form:

First, we can start off by finding the GCF of the denominator and the numerator. To do so, we need to list the factors of each of them and find the common ones.

Factors of 10: 1, 2, 5, 10
Factors of 8: 1, 2, 4, 8

We can see that our common factors are 1 and 2, considering that both the numerator and denominator has the same factors (1 and 2). Since we have our common factors, we need to find the greatest. Which is the greatest out of 1 and 2? The GCF is 2 because it is bigger than 1.

Second, divide the numerator and the denominator by the GCF (2).
10 \div 2 = 5  \\ 8 \div 2 = 4

Third, now we can revise our fraction and turn it into the simplest form. Take the two numbers you just got above us and put them in their numerator and denominator spot. You should get: \frac{5}{4}

Answer in fraction form: \fbox {5/4}
Answer in decimal form: \fbox {1.25}
Answer in mixed number form: \fbox {1 1/4}
4 0
3 years ago
Read 2 more answers
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