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Burka [1]
3 years ago
11

Billy has 2.4 m of ribbon for crafts. He wants to share it evenly with 12 friends. Billy has been making craft projects for seve

ral years now. How many centimeters of ribbon would 7 friends get?
Mathematics
1 answer:
Triss [41]3 years ago
8 0

Answer:

140 cm

Step-by-step explanation:

Given that:

Total length of ribbon present with Billy = 2.4 m

This ribbon is to be shared with 12 friends evenly.

Billy is doing this work of making craft for the past many years.

To find:

How many centimeters of ribbon that 7 friends will get?

Solution:

First of all, let us find out what length of ribbon will each person get.

Length of ribbon to be shared with each person = Total length of ribbon divided by total number of persons

Length of ribbon to be shared with each person = \frac{2.4}{12} = 0.2\ m

Now, The length of ribbon that 7 friends will get = 7 \times 0.2 = 1.4 m

1 m = 100 cm

1.4 m = 1.4 \times 100 cm = <em>140 cm</em>

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Do you agree with the researchers method of predicting the population? Why or why not?
Burka [1]

Yes, I agree with the researcher's method. All the values of a_{n} in the table correspond to the values of n by using their formula.

Step-by-step explanation:

Step 1:

If we substitute the values of n in the researcher's equation and we get the right values of a_{n}, we can agree with the researcher's method.

The researcher's formula is a_{n} = 1000(2)^{n-1}. Here a_{n} is the wombat population and n is the number of years.

Step 2:

When n = 1, a_{1} = 1000(2)^{1-1} =  1000(1) = 1,000,

when n = 2, a_{2} = 1000(2)^{2-1} = 1000(2) = 2,000,

when n = 3, a_{3} = 1000(2)^{3-1} = 1000(4) = 4,000,

when n = 4, a_{4} = 1000(2)^{4-1} = 1000(8) = 8,000,

when n = 5, a_{5} = 1000(2)^{5-1} = 1000(16) = 16,000.

As all the values correspond to the values on the table, I agree with the researcher's method.

6 0
3 years ago
ABC ~ XYZ Find the length of BC (need an answer as soon as possible, with showing work please)
Snezhnost [94]

Answer:

BC is equal to 7

Step-by-step explanation:

18 = 2x + 4

18 - 4 = 14

14 = 2x

14/2 = 7

7 = x

4 0
3 years ago
Four times two less than a number is the same as thrice one more than the number. Find the number.
IgorLugansk [536]

Answer:

See below:

Step-by-step explanation:

We can first setup an equation by doing the following:

4(2-x) = 3(x+1)\\8-4x=3x+3\\8-7x=3\\-7x=3-8\\-7x=-5\\x=-5/-7  (5/7)

Whole proccess above!

If you would like an explanation, please let me know so.

Its basically algebra and it's mainly on how you interpret it!

Have a nice day!

5 0
2 years ago
Add the following complex numbers:
Fittoniya [83]

Answer:

option c

Step-by-step explanation:

(4 - 2i) + (12 + 7i)

multiply the brackets first

4 - 2i + 12 + 7i

combine like terms

16 + 5i

3 0
3 years ago
Read 2 more answers
Graph the data in the table below. Which kind of function best models the data? write an equation to model the data.
harina [27]

Answer:

A quadratic function.

y=2.5x^{2}

Step-by-step explanation:

If you plot the points given in the table, you obtain the graph shown in the figure attached.

As you can see, it is a parabola, therefore, the function that best models the data is a quadratic function.

By definition, the parent function of a quadratic function is:

y=x^{2}

You can compress or stretch it in the y-direction by multiplying the function by a constant C:

 y=Cx^{2}

If 0, then the function is compressed.

If C>1, then the function is stretched.

You can find the constant of the function asked as following:

- Substitute x=1 into the parent function to obtain the y-coordinate:

y=(1)^{2}=1

Then the point is (1,1)

- As you can see, with x=1 you obtain y=1 in the parent function, and in the function given in the table when x=1, y=2.5, therefore, the function is multiplied by 2.5. Therefore the constant is:

C=2.5

Then the function is:

y=2.5x^{2}

7 0
3 years ago
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