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pentagon [3]
3 years ago
6

Three friends each have some ribbon.Carol has 42 in of ribbon,tino has 2.5 feet of ribbon, and baxter has 1.5 yards of ribbon. E

xpress the total length of ribbon the three friends have in inches, feet, and yards
Mathematics
1 answer:
Alexeev081 [22]3 years ago
7 0
Hello! This is simple. All you have to do is know the conversions. So, there are 12 inches in a foot, there are 36 inches in a yard, and there are 3 feet in a yard. So, we will start with feet. If there are 12 inches in a foot then you simply divide 42 by 12 which gives you 3.5 feet. Then you have to add the other 2.5 feet to it which gives us 6 feet. Lastly, you want to convert the yards into feet which is 4.5 feet. We just add all that together which gives us: 10.5 feet! 

Now let's do inches. So we leave the 42 alone since it is already in inches. Remember there are 12 inches in a foot, and there are 2.5 feet. So that gives us 30 inches. 42+30. Then we have 1.5 yards and there are 36 inches in a yard, so we divide which gives us 54 inches. So we have: 42+30+54= 126. So there are 126 inches.

Now that we have those out of the way, let's do yards. 2.5 feet in yards is 0.8 yards. So we have 0.8. Then we have 42 inches which is 3.5 feet. So then we figure that 3.5 is 1.1 yards so then we have 0.8+1.1+1.5= 3.4 yards!

So you get: 10.5 feet, 126 inches, and 3.4 yards!

I hope this helped!

I am, yours most sincerely,
SuperHelperThingy
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The speed of boat in still water is 15km/hr if needs 4 more his to travel 63 km against the current of a river than it needs to
hram777 [196]

Answer:

\frac{63}{15  - c} - \frac{63}{15  + c} = 4

Step-by-step explanation:

The systems of equations are

Let us assume the rate of the current be c

Now actual speed against the current is (15 - c)

And, the actual speed with the current is (15 + c)

Here we applied the time formula i.e. distance by speed

Also the upstream time  - downstream time = 4

Now the equations are

\frac{63}{15  - c} - \frac{63}{15  + c} = 4

5 0
2 years ago
After 5 years, a $2,450 investment is worth $3,123.75.
kondaur [170]

Answer:

5.5%

Step-by-step explanation:

To solve this problem we can use a modified version of the simple interest formula which is shown below:

r=\frac{I}{Pt}

<em>I = interest amount</em>

<em>P = principal amount</em>

<em>t = time (years)</em>

<em />

The first step is to find the interest gained from the investment.

3,123.75-2,450=673.75

Next, plug in the values into the equation:

r=\frac{673.75}{(2,450)(5)}     Multiply the bottom values

r=\frac{673.75}{12,550}         Divide the values

r=.055

The last step is to convert 0.055 into a percent:

0.055(100)=5.5

The interest rate is 5.5%

3 0
3 years ago
If anyone Is nice enough to check my math (don’t judge the horrible handwriting..I don’t usually write like this)..I’d be thankf
professor190 [17]
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4 0
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Read 2 more answers
Javier asks his mother how old a tree in their yard is. His mother says, “The sum of 10 and two-thirds of that tree’s age, in ye
sdas [7]

Answer:

10 + (\frac{2}{3}) a = 50 is the CORRECT equation.

Step-by-step explanation:

The given question is INCOMPLETE.

Javier asks his mother how old a tree in their yard is. His mother says, “The sum of 10 and two-thirds of that tree’s age, in years, is equal to 50.” Javier writes the equation { 10 + 2/3} where a is the tree’s age in years. His equation is not correct. What error did he make?

Now here:

a:  The tree’s age in years.

Also,  “The sum of 10 and two-thirds of that tree’s age, in years, is equal to 50.”

⇒ 10 +  two-thirds of that tree’s age  = 50

\implies 10 + (\frac{2}{3}) a = 50

But in the equation written by Javier, the the third fraction is NOT MULTIPLIED by the age of the tree a in Years.

So, the written equation by Javier is Incorrect.

Now, solving the written correct equation for the value of a, we get:

\implies 10 + (\frac{2}{3}) a = 50\\\implies  (\frac{2}{3}) a = 40\\\implies a = 40 \times  (\frac{3}{2})  = 60\\\implies a  = 60

Hence the correct  age of the tree = 60 years

5 0
3 years ago
A forester studying the effects of fertilization on certain pine forests in the Southeast is interested in estimating the averag
ahrayia [7]

Answer:

P(-2 \leq \bar X -\mu \leq 2)

If we divide both sides by \frac{\sigma}{\sqrt{n}} we got:

P(\frac{-2}{\frac{4}{\sqrt{9}}}\leq Z \leq \frac{2}{\frac{4}{\sqrt{9}}})

And we can use the normal distribution table or excel to find the probabilites and we got:

P(-1.5 \leq Z \leq 1.5)= P(ZStep-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the area of a population, and for this case we know the distribution for X is given by:

X \sim N(M,4)  

Where \mu=M and \sigma=4

We select a a sample of n =4 and since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want to find this probability:

P(-2 \leq \bar X -\mu \leq 2)

If we divide both sides by \frac{\sigma}{\sqrt{n}} we got:

P(\frac{-2}{\frac{4}{\sqrt{9}}}\leq Z \leq \frac{2}{\frac{4}{\sqrt{9}}})

And we can use the normal distribution table or excel to find the probabilites and we got:

P(-1.5 \leq Z \leq 1.5)= P(Z

8 0
3 years ago
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