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Kisachek [45]
3 years ago
15

Wolfrich lived in Portugal and Brazil for a total period of 14 months in order to learn Portuguese. He learned an average of 130

new words per month when he lived in Portugal, and an average of 150 new words per month when he lived in Brazil. In total, he learned 1920 new words. How long did Wolfrich live in Portugal and how long did he live in Brazil?
Mathematics
1 answer:
Ghella [55]3 years ago
7 0
He lived 9 months in Portugal and 5 months in Brazil. This is because 130*9 + 150*5 = 1920.
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The triangular arrangement of numbers shown is known as Pascal's triangle. Use inductive reasoning to find the 6 missing numbers
denis-greek [22]

Answer:

1 5 10 10 5 1

Step-by-step explanation:

The complete question has been attached as an image.

Looking at the triangle, we see a pattern. The first level we have 1, in the next level we have 1 1, the next evel we have 1 2 1, the next level we have 1 3 3 1 and so on. From here, we see that to get the numbers of the next level, we have to write 1 as the first number, then add 1 to the next number after it in the previous level to get the second number in the next level then add the second number of the previous level to the next number beside it to get the third number in the next level and so on until you get to the last number before 1 in the previous level, add that number to 1 to get the second to the last number in the next level and finally put 1 as the last number in the next level. Now, we have

1 4 6 4 1

1 5 10 10 5 1

And that is the required set of numbers.

3 0
3 years ago
Please help as soon as possible PLEASE
pashok25 [27]

Area of the entire rectangle =x^2+10x+24

Solution:

Area of the blue box =  length × width

                                  =x\times x

Area of the blue box =x^2

Area of the pink box =  length × width

                                  =4\times x

Area of the pink box =4x

Area of the green box = length × width

                                     =6\times x

Area of the green box =6x

Area of the orange box = length × width

                                       =6\times 4

Area of the orange box = 24

Total area of the rectangle =x^2+4x+6x+24

                                             =x^2+10x+24

Area of the entire rectangle =x^2+10x+24

4 0
3 years ago
Values of x in the equation 10x^2-64=36+6x^2
NISA [10]
10x^2-6x^2 = 4x^2
-64-36 = 100
4x^2 -100 = 0
(2x -10)(2x+10)
X = 2/10 and x = - 2/10
5 0
3 years ago
Which measure of center will provide the most accurate estimation of the deposits for the savings account? Why?
faust18 [17]
Hello,

First you have order all the number least to the greater. That gives 30, 75, 80, 85, 85, 95, 95, 100, 100, 110.

Afterwards you have to find the median. Why ?

I will explain you. It's because the median is robust. In fact, it can't be influenced by extreme values (example : 110) but the mean yes. So the mean won't be accurate.

"Then why don't you choose the mode ? " you will ask me. That's because the mode takes the number which appears most often in a set of numbers. It couldn't be accurate at all. It will be useless for this set of numbers.
Furthermore, here there are 3 numbers which appears the most ( 2 times for each) : $85, $95 and $100. Which one will you take ?

Therefore the median is the most suitable and the most accurate to know the center because it is robust.

Now, let's find the median :

There are 10 values, so the median will be the average of the 5th and 6th values.

5th value = 85
6th value = 95

\frac{(85+95)}{2}
= 90

Therefore the median is 90.

Hope this helps !

Photon
4 0
3 years ago
What’s are the answers for both?
nevsk [136]

Answer:

<h2>d = 8</h2><h2>g = 2</h2>

Step-by-step explanation:

8d + 4 = 5d + 28

Group like terms

That's

8d - 5d = 28 - 4

3d = 24

Divide both sides by 3

d = 8

\frac{7(7g + 8)}{4}  = 38.5

Cross multiply

we have

7(7g + 8) = 38.5(4)

49g + 56 = 154

49g = 154 - 56

49g = 98

Divide both sides by 49

g = 2

Hope this helps you

5 0
3 years ago
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