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max2010maxim [7]
3 years ago
9

4x+27=10x-33 how to answer it

Mathematics
2 answers:
Nikolay [14]3 years ago
4 0

-6x +27 = -33

-6x = -60

x = 10

Dimas [21]3 years ago
4 0

4x + 27 = 10x - 33    |-27

4x = 10x - 60    |-10x

-6x = -60    |:(-6)

<h3>x = 10</h3>
You might be interested in
A restaurant sells about 330 sandwiches each day at a price of $6 each $.25 decrease in price. 15 more sandwiches are sold per d
zmey [24]

Answer:

restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

Step-by-step explanation:

to calculate current revenue= $6 x 330 = $1980

suppose x as the number of times the price to be dropped by $0.25

then find new price.. i.e

new price= $(6-0.25x)

and, new sell=330 +15x sandwiches

therefore, the new revenue would be= (6-0.25x)(330 +15x)

in order to maximize the current revenue, simplify the above equation and make it complete square using x

(6-0.25x)(330 +15x)

=1980-82.5x +90x -3.75x^{2}

=1980 + 7.5x -3.75x^{2}

=1980-3.75 (-2x+x^{2}) ----> taking out common

now, to make a complete square lets add and subtract 1 inside the parentheses

=1980-3.75(-1+1-2x+x^{2})

=1980 +3.75 -3.75(x^{2} -2x +1)

=1983.75 -3.75 (x-1)^{2}---->(1)

as (x-1)^{2} is positive always, minimize the other term in order to maximize the total revenue.

so the minimum possible value of (x-1)^{2} = 0

therefore, x=1

putting x in eq(1) the revenure becomes,

$(1983.75-0)=> $1983.75

therefore, restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

3 0
3 years ago
Please help!<br> Hard math.
Reil [10]

Answer:

the value of digit 3 in 156.32 =

3 x 0.1 = 0.3


The value of digit 3 in 13 =

3 x 1 = 3

3/0.3=10 times

The value of digit 3 in 13 is 10 ten times the value of digit 3 in 156.32

As long as the (digit in ones/single digit) of a number is equal to 3

The value of digit 3 of it is always 10 ten times the value of digit 3 in 156.32


5 0
3 years ago
PLEASE HELP!
Lina20 [59]

Answer:

Step-by-step explanation:

Each 90° clockwise turn takes a point (x,y) and transforms it to (y,-x). For a 180° turn you would do this process twice in a row; for a 270° turn, three times in a row.

4 0
3 years ago
Read 2 more answers
-)
Ann [662]

1) The accumulated amount after six years and the total interest that Trevor will receive if the interest rate is 4.5% per annum simple interest after 6 years are <u>R25,400</u> and <u>R5,400</u> respectively.

2) The accumulated amount after six years and the total interest that Trevor will receive if the interest rate is 4.5% per annum compound interest after 6 years are<u> R26,045.20</u> and <u>R6,045.20</u> respectively.

<h3>Data and Calculations:</h3><h3>Simple Interest:</h3>

Principal = R20,000

Investment period = 6 years

Interest rate = 4.5%

Simple interest for 6 years = R5,400 ($20,000 x 6 x 4.5%)

Principal + Interest = R25,400 (R20,000 + R5,400)

<h3>Compound Interest:</h3>

Principal = R20,000

Investment period = 6 years

Interest rate = 4.5%

N (# of periods) = 6 years

I/Y (Interest per year) = 4.5%

PV (Present Value) = R20,000

PMT (Periodic Payment) = R0

<u>Results</u>:

FV = R26,045.20

Total Interest = R6,045.2

Learn more about simple and compound interests at brainly.com/question/3575751

#SPJ1

8 0
1 year ago
100 point to the first correct answer
miss Akunina [59]

Answer:

X ~ B(n, p)

Given: X ~ B(2, 5/17)

⇒  n = 2

⇒  p = 5/17

Binomial distribution formula:

\sf P(X = x) = nC_x (1-p)^{(n-x)}p^x

As n = 2, calculate P(X = 0), P(X = 1) and P(X = 2):

\sf P(X = 0) = 2C0 (\frac{12}{17})^{(2-0)}(\frac{5}{17})^0=\dfrac{144}{289}}

\sf P(X = 1) = 2C1 (\frac{12}{17})^{(2-1)}(\frac{5}{17})^1=\dfrac{120}{289}}

\sf P(X = 2) = 2C2 (\frac{12}{17})^{(2-2)}(\frac{5}{17})^2=\dfrac{25}{289}}

**Probability Distribution Table attached**

5 0
2 years ago
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