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Rom4ik [11]
2 years ago
7

Please help I don’t understand

Mathematics
1 answer:
irakobra [83]2 years ago
5 0

Answer:

a. 79

Step-by-step explanation:

Use this theorem

x =  \frac{101 + 57}{2 }  \\ x =  \frac{158}{2}  \\ x = 79

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The sum of the first four terms of an arithmetic sequence is $10$. If the fifth term is $5$, what is the sixth term?
Nookie1986 [14]

The sixth term of an arithmetic sequence is 6

<h3>How to find arithmetic sequence?</h3>

The sum of the first four terms of an arithmetic sequence is 10.

The fifth term is 5.

Therefore,

sum of term = n / 2(2a + (n - 1)d)

where

  • a = first term
  • d = common difference
  • n = number of terms

Therefore,

n = 4

10 = 4 / 2 (2a + 3d)

10 = 2(2a + 3d)

10 = 4a + 6d

4a + 6d = 10

a + 4d = 5

4a + 6d = 10

4a + 16d = 20

10d = 10

d = 1

a + 4(1) = 5

a = 1

Therefore,

6th term = a + 5d

6th term = 1 + 5(1)

6th term = 6

learn more on sequence here: brainly.com/question/24128922

#SPJ1

7 0
1 year ago
Write a number with three decimal places greater than 4.74 and less than 4.75
padilas [110]
4.741

4.742

Really, you could stick any digit from 1-9 at the end of 4.74 to create your answer.
7 0
3 years ago
WHOEVER GETS IT RIGHT GETS BRAINLIEST
Ierofanga [76]

think the answer is d

5 0
3 years ago
Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "
Nikitich [7]

The table is proportional and the constant of proportionality is 1.5

Step-by-step explanation:

Proportional relationships are relationships between two variables

where their ratios are equivalent

  • One variable is always a constant value times the other
  • The relation between the two variables represented graphically by a line passes through the origin point

The table:

→ x  :  0  :  2  :  4  :  6

→ y  :  0  :  3  :  6  :  9

To prove that y ∝ x find the ratio between each value of y with corresponding value of x

∵ \frac{3}{2}=1.5

∵ \frac{6}{4}=1.5

∵ \frac{9}{6}=1.5

∴ \frac{y}{x}=k

∴ k = 1.5

∵ The origin point is in the table

∴ y ∝ x

∴ The table is proportional

The table is proportional and the constant of proportionality is 1.5

Learn more:

You can learn more about proportional in brainly.com/question/10708697

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
The mode interval in a histogram is the interval that has the highest frequency.
raketka [301]
This is true. 

When we're talking about the mode, we're usually talking about the number which has the highest frequency in a given set of numbers. For example, out of the numbers:

1 2 3 4 5 6 5 4 5 5 5 

5 will be the mode.
4 0
4 years ago
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