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shusha [124]
3 years ago
7

Three consecutive integers have a sum of 30. Which equation can be used to find x, the value of the smallest of the three number

s?
Mathematics
1 answer:
Katen [24]3 years ago
8 0

Answer:

The smallest value of the three numbers would be 9.

Step-by-step explanation:

In order to find this, set the smallest number as x. Then you can set each of the next integers as x + 1 and x + 2. Now we can total all three numbers and set equal to 30 to solve for x.

x + x + 1 + x + 2 = 30

3x + 3 = 30

3x = 27

x = 9

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Tyler (T)= 17.04 gallons
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Which term describes 15/28
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Which of the following is not true for adding mixed numbers?
chubhunter [2.5K]

1.which of the following is not true for adding mixed numbers?

A.the denominators of the fractions must be the same in order to add them.

B.you can add mixed numbers by changing them into improper fractions or by using a number line.

C.the sum of the mixed numbers written as an improper fraction is in simplest form.

D.the sum of the mixed numbers must be written in simplest form


The answer is C

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3 years ago
The function f(x) = −x2 + 28x − 192 models the hourly profit, in dollars, a shop makes for selling sodas, where x is the number
Rudik [331]

9514 1404 393

Answer:

  C- (14, 4); The vertex represents the maximum profit.

Step-by-step explanation:

The leading coefficient of the quadratic function is negative, so the graph opens downward, and the vertex represents a maximum.

The maximum value is at ...

  x = -b/(2a) = -28/(2(-1)) = 14

  f(14) = -14^2 +28(14) -192 = 4

The vertex is (14, 4). It represents the maximum profit.

4 0
2 years ago
An intelligence test that has a maximum completion time of 45 minutes was recently administered to a group of 9 people. Their re
Ede4ka [16]

Answer:

a) \bar X=39.9

b) Median =40

c) Bimodal distribution 40,45 with a frequency of 2 for each one

Step-by-step explanation:

Part a

The statistical mean refers "to the mean or average that is used to derive the central tendency of the data in question. It is determined by adding all the data points in a population and then dividing the total by the number of points". And is defined:

\bar X =\frac{\sum_{i=1}^n x_i}{n}

And for this case if we apply this formula we got:

\bar X =\frac{45+40+42+39+44+40+45+33+21}{9}=39.9

Part b

The median is a "measure of central tendency. To find the median, we arrange the observations in order from smallest to largest value. And we have two possible cases:

1) If there is an odd number of observations, the median is the middle value. 2) If there is an even number of observations, the median is the average of the two middle values."

So if we order the dataset we got:

31,33,39,40,40,42,44,45,45

Since we have an odd number of observation n=9, the median would be just the middle value on position 5 and for this case Median =40

Part c

The mode of a set of data values is the value that appears most often. As a set of data can have more than one mode, the mode does not necessarily indicate the centre of a data set.

For this case we have a bimodal distribution and the corresponding values are 40 and 45 with a frequency of 2 for each one.

8 0
3 years ago
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