All categories

3 years ago

Which expression represents the word phrase six decreased by one third of a number?

Mathematics

1 answer:

mojhsa [17]3 years ago

5 0

Answer:

6-1/3n

Step-by-step explanation:

i took the k12 test but i got it wrong

You might be interested in

Convert 0.6 radians to degree measure.<br> Round your answer to the nearest hundredth.

valina [46]

Edwrdrckfdt
Edwarddtrfgfrfyb edtdvygn

8 0

3 years ago

Read 2 more answers

Variable y varies directly with x2, and y = 96 when x = 4.

lakkis [162]

Direct variation is y = kx, where k is the constant of variation.
But now it says y varies directly with x2 (or 2x), so now the x in the equation is 2x.

The equation is y = k(2x)
Now you find k.
y = 96 when x = 4.
(96) = k(2*4)
96 = k(8)
k = 12

The equation is now y = 12(2x)
To find the value of y when x=2, plug 2 into the equation you made. y = 12(2*2) y = 48
_________________
Now it's with a "quadratic variation," which is the same thing except x is squared.
The equation is y = kx^2

But y varies directly with x2 (same thing as 2x), so now it's y = k(2x)^2.

Now you find k by substituting y and x values that were given.
y = 180 when x = 6
(180) = k(2*6)^2
180 = k(12)^2
180 = k(144)
k = 1.25
k, 1.25, is the constant of variation.

4 0

3 years ago

Evaluate the series:<br> 2-10+50-250..., n=8

garik1379 [7]

The sum of first 8 terms of series is -130208

<em><u>Solution:</u></em>

Given that,

2 - 10 + 50 - 250 , ....

n = 8

Find the common ratio between a term and its previous term

$r = \frac{-10}{2} = -5\\\\r = \frac{-250}{50} = -5$

Thus common ratio is same

This is a geometric series

<em><u>The sum of terms of geometric sequence is given as:</u></em>

$S_n = \frac{a_1(1-r^n)}{1-r}$

Where,

r is the common ratio

n is the nth term

$a_1$ is the first term of series

From series,

$a_1 = 2\\\\r = -5\\\\n = 8$

Therefore,

$S_8 = \frac{2 \times (1 - (-5)^8)}{1-(-5)}\\\\S_8 = \frac{2 \times (1-390625)}{6}\\\\S_8 = -130208$

Thus sum of first 8 terms of series is -130208

6 0

4 years ago

Help me solve this ASAP. Will mark brainlest Give the equation of the line with the following slope and.y-intercept m=0 b=7/2

svetlana [45]

Answer:

y = $\frac{7}{2}$

Step-by-step explanation:

A line with a slope of zero is a horizontal line parallel to the x- axis.

The equation of a horizontal line is

y = c

where c is the value of the y- coordinates the line passes through.

Here the line passes through (0, $\frac{7}{2}$ ) with y- coordinate $\frac{7}{2}$ , thus

y = $\frac{7}{2}$ ← equation of line

6 0

3 years ago

Complete the net worth statement by determining the total assets and total liabilities. What is the net worth?

masha68 [24]

The net worth, based on the net worth statement of total assets and total liabilities, is <u>B) $2,000</u>.

<h3>What is the net worth?</h3>

The net worth of an individual is the difference between the assets owned and the liabilities that the person owes.

<h3>Data and Calculations:</h3><h3>Assets:</h3>

Cash $200

Checking accounts $1,000

Savings account $400

Cars $8,000

Furniture and appliances $1,500

Computers $900

Stereo/Cell phones $400

Clothing $300

Total assets = $12,700

<h3>Liabilities:</h3>

Credit card balances $1,200

Charge accounts balances of $200

Student loans $7,000

Car Loans $2,300

Total liabilities = $10,700

Net worth = $2,000 ($12,700 - $10,700)

<h3>Answer Options:</h3>

A) $200

B) $2,000

C) $10,700

D) $12,700

Thus, the net worth, based on the net worth statement of total assets and total liabilities, is <u>B) $2,000</u>.

Learn more about the net worth of an individual at brainly.com/question/12371230

6 0

3 years ago