All categories

2 years ago

What expressions are equivalent to -2.5 (1 - 2n) - 1.5n?

Mathematics

2 answers:

jok3333 [9.3K]2 years ago

8 0

Answer:

C. -2.5 - 6.5n

Step-by-step explanation:

i just think thats the answer

yawa3891 [41]2 years ago

4 0

Step one 1.5 was replaced by (15/10) then rearrange 1/2*n+2*n-(14/3+(15/10)*n)=0

The answer is

N=14/3=4.667

You might be interested in

Marcus needs to buy some cabin. At the nearest store, three bags of cat food cost $16.50. How much would Marco spend on five bag

Bumek [7]

Answer:

$82.5

Step-by-step explanation:

$16.50 * 5 = $82.5

6 0

2 years ago

Read 2 more answers

Some types of algae have the potential to cause damage to river ecosystems. Suppose the accompanying data on algae colony densit

Phantasy [73]

Answer:

$y=-2.95836 x +234.56159$

Step-by-step explanation:

We assume that th data is this one:

x: 50, 55, 50, 79, 44, 37, 70, 45, 49

y: 152, 48, 22, 35, 43, 171, 13, 185, 25

a) Compute the equation of the least-squares regression line. (Round your numerical values to five decimal places.)For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i =50+ 55+ 50+ 79+ 44+ 37+ 70+ 45+ 49=479$

$\sum_{i=1}^n y_i =152+ 48+ 22+ 35+ 43+ 171+ 13+ 185+ 25=694$

$\sum_{i=1}^n x^2_i =50^2 + 55^2 + 50^2 + 79^2 + 44^2 + 37^2 + 70^2 + 45^2 + 49^2=26897$

$\sum_{i=1}^n y^2_i =152^2 + 48^2 + 22^2 + 35^2 + 43^2 + 171^2 + 13^2 + 185^2 + 25^2=93226$

$\sum_{i=1}^n x_i y_i =50*152+ 55*48+ 50*22+ 79*35+ 44*43+ 37*171+ 70*13+ 45*185+ 49*25=32784$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=26897-\frac{479^2}{9}=1403.556$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=32784-\frac{479*694}{9}=-4152.22$

And the slope would be:

$m=-\frac{-4152.222}{1403.556}=-2.95836$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{479}{9}=53.222$

$\bar y= \frac{\sum y_i}{n}=\frac{694}{9}=77.111$

And we can find the intercept using this:

$b=\bar y -m \bar x=77.1111111-(-2.95836*53.22222222)=234.56159$

So the line would be given by:

$y=-2.95836 x +234.56159$

7 0

2 years ago

Under the translation T(2, -3) the point (1, 6) will become (3, 9).

seraphim [82]

Answer:

False (under assumption T(2,-3) means move it right 2 units and down 3 units).

Step-by-step explanation:

The statement is false.

T(2,-3) means move the point right 2 (so plus 2 on the x-coordinate) and down 3 units (so minus 3 on the y-coordinate).

So (1,6) will become (1+2,6-3)=(3,3) after the translation.

The point (1,12) will become (1+2,12-3)=(3,9).

If the statement were "Under the translation T(2,-3) the point (1,12) will become (3,9)", then it would be true.

Or!

If the statement were "Under the translation T(2,3) the point (1,6) will become (3,9)", then it would be true.

3 0

3 years ago

What is 80 divided by 6400

Snezhnost [94]

80 divided by 6400 is 0.0125, but the question in the picture shows 6400 divided by 80, which is 80.

6 0

3 years ago

A bank loans a customer $100,000 for a period of 2 years. The simple interest rate of the loan is 5.7%. What is the total amount

fomenos

Answer:

$111400

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5.7%/100 = 0.057 per year,

then, solving our equation

I = 100000 × 0.057 × 2 = 11400

I = $ 11,400.00

The simple interest accumulated

on a principal of $ 100,000.00

at a rate of 5.7% per year

for 2 years is $ 11,400.00.

5 0

2 years ago