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QveST [7]
3 years ago
14

Find three consecutive odd integers such that the sum of the smallest number and middle number is 27 less than 3 times the large

st number.
Mathematics
1 answer:
serious [3.7K]3 years ago
6 0

Answer:

17, 19, 21

Step-by-step explanation:

If we denote the smallest number as x, then the middle number will be x + 2 and the largest number will be x + 2 + 2.

The equation is:

x + (x + 2) = 3 * (x + 2 + 2) - 27

2x + 2 = 3x + 12 - 27

2x - 3x = 12 - 27 - 2

-x = -17

x = 17

The numbers are: 17, 19, 21

Let's check to be sure:

17 + 19 = 36

3 * 21 - 27 = 63 - 27 = 36

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Two similar rectangular prisms have a scale factor of 3.4 and
Shalnov [3]
2 is the answer 23:35677544
5 0
3 years ago
Select the correct answer from each drop-down menu.
Shalnov [3]

Using translation concepts, the correct statement is given by:

If function f was translated down 4 units, the f(x) values would be subtracted by 4. A point in the table for the transformed function would be (1,9).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

A translation down 4 units means that the output values are subtracted by 4, hence the table would be given by:

x    1  2  3   4    5

f(x) 9 15 33 87 249

More can be learned about translation concepts at brainly.com/question/27948675

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3 0
2 years ago
What’s half of 2 1/2 as a fraction?
aliina [53]

Answer:

5/4

Step-by-step explanation:

2 1/2=5/2

(5/2)(1/2)=5/4

8 0
3 years ago
Find the volume of a sphere with a radius of 100yd . Express your answer in terms of pi.
Evgen [1.6K]

Answer:

4/3*100^3*π

Step-by-step explanation:

V = 4/3*π*r^3

= 4/3*π*100^3

≈ 4.18879*10^6

5 0
3 years ago
The following stem-and-leaf plot represents the test scores for
rewona [7]

Considering the given stem-and-leaf plot, the quartiles are given as follows:

  • The first quartile is of 67.5.
  • The second quartile, which is the median, is of 84.5.
  • The third quartile is of 91.5.

<h3>What are the median and the quartiles of a data-set?</h3>

  • The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
  • The first quartile is the median of the first half of the data-set.
  • The third quartile is the median of the second half of the data-set.

There is an even number of elements(26), hence the median is the mean of the 13th and 14th elements, which are 83 and 86, hence:

Me = (83 + 86)/2 = 84.5.

The first half has 12 elements, hence the first quartile is the mean of the 6th and 7th elements, which are 67 and 68, hence:

Q1 = (67 + 68)/2 = 67.5.

The third half also has 12 elements, starting at the second 86, hence the third quartile is the mean of the 6th and 7th elements of this half, hence:

Q3 = (91 + 92)/2 = 91.5.

More can be learned about the quartiles of a data-set at brainly.com/question/28017610

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7 0
1 year ago
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