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astra-53 [7]
3 years ago
14

Find two consecutive even integers such that the sum of the larger and three times smaller is 234

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
4 0
X + (x + 2)
x + 2 + 3x = 234 combine like terms
4x + 2 = 234 subtract two to isolate x
4x = 232 divide by four
x = 58

The two numbers are 58 and 60.
You might be interested in
Twice the sum of consecutive numbers n and n + 1 is 510. What is the smaller number?
guajiro [1.7K]

Answer:

The smaller number is 127

Step-by-step explanation:

Lets write the given problem in equation form

sum of consecutive numbers n and n + 1 = n + n + 1 = 2n + 1

now we find twice of the sum of consecutive numbers n and n + 1

2*(2n + 1) = 4n + 2

given that

twice the sum of consecutive numbers n and n + 1 is 510

thus,

4n + 2 = 510

=> 4n = 510 -2 = 508

=> n = 508/4 = 127

Thus, the numbers are n = 127

n+1 = 127 + 1 = 128

the smaller number is 127

4 0
3 years ago
[SCREENSHOT INCLUDED] Which of the following is the best estimate of f '(2) based on this table of values?
mel-nik [20]

Using derivatives, it is found that the best estimate of f '(2) based on this table of values is of 10.

The rate of change <u>from x = 0 to x = 2</u> is given by:

r_1 = \frac{2 - (-16)}{2 - 0} = \frac{18}{2} = 9

From <u>x = 2 to x = 4</u>, it is given by:

r_2 = \frac{24 - 2}{4 - 2} = \frac{22}{2} = 11

The average of these rates is:

A = \frac{r_1 + r_2}{2} = \frac{9 + 11}{2} = 10

Hence, the best estimate of f '(2) based on this table of values is of 10.

To learn more about derivatives, brainly.com/question/18590720

6 0
2 years ago
Sarah bought 7 more songs than Betsy.If Sarah bought 21 songs from Apple Music, how many songs did Betsy buy?
kipiarov [429]
21-7 = 14
Betsy buy 14
4 0
3 years ago
The population of a city increases by 0.5% per year. If this year's population is 374,000, what will next year's population be,
Ann [662]

Answer:

372,130

Step-by-step explanation:

1. Multiply 374,000 by 0.5

2. divide the answer by 100

3. subtract that answer from 374,000

4. This is the answer to your question

8 0
2 years ago
Read 2 more answers
What do the following terms mean:<br> is<br> equal<br> the same as<br><br> = or x or - or +
JulsSmile [24]
Blue: = because the equal sign is stating that it’s the same.
7 0
2 years ago
Read 2 more answers
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