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N76 [4]
3 years ago
5

What is the sum of the last four terms of the series 7+9+11+...+21

Mathematics
1 answer:
Doss [256]3 years ago
7 0
<span>7 - 9 = 2 9 - 11 = 2 You should see that the series just increases by +2 therefore you can figure out what the last four terms are and then add them up one of the last terms given is 21</span>
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You and your friend each collect rocks and fessis your friend collects three times as many roots and half as many fossils as you
n200080 [17]

Answer:

Number of rocks and fossils collected by you is <u>1 and  24</u> respectively

Number of rocks and fossils collected by your friend is <u>3 and 12 </u>respectively

Step-by-step explanation:

Let  the number of Rocks you collect be x

Let  the number of Fossils you collect be y

Then the total number pf objects you collected will be

x + y = 25

x = 25 - y------------------------------(1)

Your friend collects three times as many rocks and half as many fossils as you.

This can be written as

3x + y (1/2) = 15

3x + (y/2) = 15-------------------(2)

Substituting (1) in (2)

3(25 - y) + (y/2) = 15

75 - 3y + (y/2) = 15

Grouping the like terms we get,

75 - 15 = 3y = (y/2)

60 = ( 6y - y /2)

60 x 2 = 6y -y

120 = 5y

y = 120/5

y = 24

Substituting  y value in equation(1) we get

x = 25 - 24

x= 1

y= 24

Friends collects 3 times rock

so collects 3x =3(1) = 3rocks

Also he collects half as many fossils

That is

y/2 = 24/2 = 12 fossils

<u><em>Hope this help you! :)</em></u>

5 0
3 years ago
123,456.78901 to ten – thousandths<br> -
dezoksy [38]

Answer:

123,456.789

Step-by-step explanation:

The ten thousandth place is less than 5.

5 0
3 years ago
Read 2 more answers
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nekit [7.7K]

Answer:

Both equation represent functions

Step-by-step explanation:

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A. Consider the equation

y=-\dfrac{3}{5}x+2

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To check whether the equation represents a function, you can use vertical line test. If all vertical lines intersect the graph of the function in one point, then the equation represents the function.

When you intersect the graph of the function y=-\dfrac{3}{5}x+2 with vertical lines, there will be only one point of intersection (see blue graph in attached diagram). So this equation represents the function.

B. Consider the equation

y=x-x^2

This equation represents the function, because for each input value x, there is exactly one output value y.

When you intersect the graph of the function y=x-x^2 with vertical lines, there will be only one point of intersection (see green graph in attached diagram). So this equation represents the function.

4 0
3 years ago
The rule for calculating the mean is to add up all the scores in a sample and divide by the _________
Tems11 [23]
Amount of numbers in the sample.
8 0
3 years ago
A number that has only 2 factors
Anettt [7]
Prime number- a number that has only two factors.
7 0
3 years ago
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