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2 years ago

Find GCF of 40 and 120

Mathematics

1 answer:

vagabundo [1.1K]2 years ago

5 0

Answer:

Hi there!

The GCF of 40 and 120 is 40

40 ÷ 40 = 1

120 ÷ 40 = 3

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A simple random sample of 25,000 individuals are surveyed in order to determine the prevalence of individuals that contracted th

Neko [114]

Answer:

The prevalence of flu for the past year, as indicated from the survey participants, was of 17%.

Step-by-step explanation:

Given the survey, the prevalence of the flu, as a percentage, is given by:

Number of individuals diagnosed with flu, multiplied by 100, and divided by the size of the sample.

In this question, we have that:

Sample of 25,000, and 4,250 of those had been diagnosed with the flu at some point in the past year. So, the prevalence of the flu is given by:

$\frac{4250*100}{25000} = 17$

The prevalence of flu for the past year, as indicated from the survey participants, was of 17%.

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3 years ago

Solve the linear equation 2x+2/4=189.5

seraphim [82]

Change 2/4 to 1/2
2x+1/2=189.5
Subtract 1/2 from both sides(1/2 = .5)
2x=189
Divide both sides by 2
2x/2 = x
189/2= 94.5
x=94.5

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3 years ago

Giles is searching for a sock and discovers that he has 10 socks for every 5 pairs of shoes. If he has 20 socks, how many pairs

Norma-Jean [14]

The answer is 10 pairs of shoes.
The first ratio is 10:5. 10 socks per 5 pairs of shoes. You have 20 socks now instead of 10. You just double the ratio. 20 socks per 10 pairs of shoes. 20:10.

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3 years ago

Mark has 17 coins that are dimes and quarters. The total value of the coins is $2.45. How many dimes does mark have?

seropon [69]

Answer: 12 dimes and 5 quarters

Step-by-step explanation: Let's start this problem by setting up a chart so we can organize our information that we're given in this problem.

Down the left side, we'll have our different types of coins. In this case dimes and quarters. Across the top we'll have our formula which is shown below.

Number of coins · value of each coin = total value

Now let's fill out our chart.

For number of dimes and quarters, we know that mark has a total of 17 dimes and quarters but we don't know how many of each he has. In fact, that's what the problem is asking.

So if we represent our number of dimes as x, we can call our number of quarters 17 - x.

The value of each dime is 10¢ and the value of each quarter is 25¢.

Our total value based on our formula is going to come from the first column times the second column. So the total value of our dimes is x times 10 or 10x and the total value of our quarters is 17 - x times 25 or 25 (17 - x).

Our goal in this problem will be to find x because x represents our number of dimes and the problem asks how many dimes does he have. If we know the number of dimes, we can easily find the number of dimes and we'll have our answer. However, we need an equation in order to find x.

It's important to understand that he information in this equation will always come from the last column of your chart, the total value column. So what do we know about the total value of our dimes and the total value of our quarters?

Well we know that the total value of all of our coins is $2.45. So if we add the total value of our dimes + the total value of our quarters, that should equal $2.45. So below the chart I added an additional box and I put 245 in it. Notice that I wrote 245 in terms of cents because our value of dimes and value of quarters is also written in terms of cents and we need to be constient.

So here's our equation.

10x + 25 (17 - x) = 245.

If we solve this, we get x = 12.

Going back up into our chart, remember that x represents our number of dimes so Mark has 12 dimes. To get his number of quarters, we take 17 - x which is 17 - 12 or 5 quarters and that's our answer.

I have also attached the chart that I have made below.

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3 years ago

Two cars are driving toward each other from opposite directions. If one is driving 55 mph, the other is driving 60 mph and the c

Korvikt [17]

Set 500 to sum of distances traveled by both cars.
$55t + 60t = 500 \\ 115t = 500 \\ t = (500/115) = 4.3$

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2 years ago

Find GCF of 40 and 120​

Find GCF of 40 and 120