1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
adoni [48]
3 years ago
14

The sum of 5 consecutive integers is 270

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
4 0
Hello!

This can be written as

(x) + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 270

Add all the values

5x + 1 + 2 + 3 + 4 = 270

Combine like terms

5x + 10 = 270

Subtract 10 from both sides

5x = 260

Divide both sides by 5

x = 52

So the numbers are 52, 53, 54, 55, 56,

Hope this helps!
You might be interested in
Three trigonometric functions for a given angle are shown below. cosecant theta = thirteen-twelfths; secant theta = Negative thi
Kay [80]

Answer:

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

cosec\theta = \dfrac{13}{12}\\sec\theta=-\dfrac{13}{5}\\cot\theta =-\dfrac{5}{12}

Now, we know the following identities:

sin \theta = \dfrac{1}{cosec\theta}\\cos \theta = \dfrac{1}{sec\theta}\\tan \theta = \dfrac{1}{cot\theta}

Now, the values are:

sin\theta = \dfrac{12}{13}\\cos\theta=-\dfrac{5}{13}\\tan\theta =-\dfrac{12}{5}

Sine value is positive and cos, tan values are negative.

It can be clearly observed that \theta is in 2nd quadrant.

2nd quadrant means, the value of x will be negative and y will be positive.

Let us have a look at the value of tan\theta:

tan\theta  = \dfrac{Perpendicular}{Base}\\OR\\tan\theta  = \dfrac{y-coordinate}{x-coordinate} = -\dfrac{12}{5}\\\therefore y = 12,\\x = -5

Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

8 0
3 years ago
What is the equation of the best-fitting regression line? Find this in two ways. First, using the regression analysis part of th
Lemur [1.5K]

Step-by-step explanation:

Regression analysis is used to infer about the relationship between two or more variables.

The line of best fit is a straight line representing the regression equation on a scatter plot. The may pass through either some point or all points or none of the points.

<u>Method 1:</u>

Using regression analysis the line of best fit is: y=\alpha +\beta x+e

Here <em>α </em>= intercept, <em>β</em> = slope and <em>e</em> = error.

The formula to compute the intercept is:

\alpha =\bar y-\beta \bar x

Here<em> </em>\bar y and \bar x are mean of the <em>y</em> and <em>x</em> values respectively.

\bar y=\frac{\sum y_{i}}{n} \\\bar x=\frac{\sum x_{i}}{n}

The formula to compute the slope is:

\beta =\frac{\sum (x-\bar x)(y - \bar y)}{\sum (x=\bar x)^{2}}

And the formula to compute the error is:

e=y-\alpha -\beta x

<u>Method 2:</u>

The regression line can be determined using the descriptive statistics mean, standard deviation and correlation.

The equation of the line of best fit is:

(y-\bar y)=r\frac{\sigma_{x}}{\sigma_{y}} (x-\bar x)

Here <em>r</em> = correlation coefficient = r=\frac{Cov (x,y)}{\sqrt{\sigma^{2}_{x}\sigma^{2}_{y}} }

\sigma_{x} and \sigma_{y} are standard deviation of <em>x</em> and <em>y</em> respectively.

\sigma_{x}=\frac{1}{n}\sum (x-\bar x)^{2} \\\sigma_{y}=\frac{1}{n}\sum (y-\bar y)^{2}

3 0
3 years ago
Are 5/6 and -4.713 on the same side or the opposite side of zero ?
Alchen [17]
They are on opposite sides of zero because one number is negative and one is positive
8 0
3 years ago
In both of the problems where would you put parentheses to make it statement true?
Darina [25.2K]
In the first one it would be (21-8)-6=7.
and in the second one it would be 21-(8-6)=19
5 0
3 years ago
There is a bag filled with 3 blue, 4 red and 5 green marbles.
lana [24]

Answer:

35/72

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • How many angles are there
    9·2 answers
  • If stanley bought a sandwich, that cost $3 with 50% off. what was the original price?
    7·2 answers
  • 100-y+10=90 please help
    13·2 answers
  • Can you please help me with this question!!!!! I need help!!!!
    10·1 answer
  • You are on vacation in Canada. Canada also uses the dollar for currency. The exchange rate is 1 U.S. Dollar is equal to 1.33 Can
    9·1 answer
  • 5th-6th grade math ^-^
    12·2 answers
  • What does -2/3÷2 1/4 equal on khan academy?
    15·1 answer
  • Solve for x. Round to the nearest tenth of a degree, if necessary.
    13·1 answer
  • Of the numbers 7, 8, 9, and 10, which is a solution to the inequality n – 5 &lt; 3? Hurry Plz
    9·1 answer
  • If triangle ABC is congruent to DEF, then what side is congruent to BC?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!