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3 years ago

What is my first step?

Mathematics

1 answer:

horrorfan [7]3 years ago

4 0

Well a line is equivalent to 180 degrees so you would have AB(9x-23) and BC(5x-11) added to equal 180.
9x-23+5x-11=180
you would then combine like terms
14x-34=180
14x=214
x=214/14
x=15.2857143
x=15.29

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the mean of "n" numbers is "x" . if one more is added the mean is "y" . write an algebraic expression for the value of the numbe

vaieri [72.5K]

Answer:

yn +y -xn

Step-by-step explanation:

Mean= sum of numbers ÷number of numbers

x= sum of n numbers ÷n

Multiply both sides by n:

xn= sum of n numbers

sum of n numbers= xn -----(1)

Let the number added be a.

After a has been added,

y= (sum of n numbers +a) ÷(n+1)

Multiply both sides by (n +1):

y(n +1)= sum of n numbers +a

sum of n numbers= y(n +1) -a -----(2)

Substitute (1) into (2):

xn= y(n +1) -a

Expand:

xn= yn +y -a

a= yn +y -xn

Let's check!

Let the numbers be 1, 2, 3 and 4.

mean, x= 10 ÷4= 2.5

n= 4

Let the new number added, a, be 7.

a= 7

mean, y= 17 ÷5= 3.4

a= yn +y -xn

a= 3.4(4) +3.4 -2.5(4)

a= 7

Thus, the expression is true.

3 0

2 years ago

Six million and five thousandths

noname [10]

Answer:

6,000,000.005

Step-by-step explanation:

The correct answer in [standard form] is 6,500,000

one million= 1,000,000

six million= 6,000,000

one thousandth= .001

five thousandth= .005

6,000,000.005

Word Form: Six million and five thousandth

5 0

2 years ago

PLEASEE HELP!! I WILL MARK BRAINLIEST!

ycow [4]

The expression in scientific notation is given as follows:

3.5 x 10³.

<h3>What is scientific notation?</h3>

A number in scientific notation is given by:

$a \times 10^b$

With the base being $a \in [1, 10)$ .

For this problem, the expression is given by:

$\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3}$

When two factors of a multiplication have the same base and different exponent, we keep the base and add the exponents, hence:

$10^2 \times 10^4 = 10^6$

5 x 4.2 = 21, hence the expression is:

$\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3} = \frac{21 \times 10^6}{6 \times 10^3}$

When we divide two terms with the same base and different exponents, we keep the base and subtract the exponents, hence:

$\frac{21 \times 10^6}{6 \times 10^3} = 3.5 \times 10^3$

Which is the simplified expression.

More can be learned about scientific notation at brainly.com/question/16394306

#SPJ1

6 0

1 year ago

the point of M ( a, 4 ) is the midpoint of the line segment with endpoint at A(1,3) and B(5,b). Find the value of a and b

vazorg [7]

The value of a and b from the coordinates are 3 and 5 respectively

<h3>Midpoint of coordinates</h3>

The formula for finding the midpoint of two coordinates is expressed as;

M(x, y) = {x1+x2/2, y1+y1/2}

Given the following coordinates

M(a, 4)

A(1,3)

B(5,b)

Using the formula

a = 1+5/2

a = 6/2

a = 3

Similarly

4 = 3+b/2

8 = 3+b

b = 8-3

b = 5

Hence the value of a and b from the coordinates are 3 and 5 respectively

Learn more on midpoint here: brainly.com/question/18315903

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6 0

1 year ago

Read 2 more answers

Which scatter plot represents the data shown in the table?

Scorpion4ik [409]

The third graph represents the data because the values in the table are identical to the ones plotted on that graph.

6 0

3 years ago

Read 2 more answers